■ ; I US') ((nrntll Slant foiputl Ethranj TJ 840.W59 me " Un ' VerS " yLibrary ^'e'fights determination, from an engin 3 1924 "0i7~530 159 DATE DUE mrwn TOUb GAYLORD PRINTED IN USA The original of this book is in the Cornell University Library. There are no known copyright restrictions in the United States on the use of the text. http://www.archive.org/details/cu31924017530159 WATER RIGHTS DETERMINATION From an Engineering Standpoint <.\ BY JAY M/WHITHAM, M.A., M.E..-C.E. Consulting Engineer Formerly U. S. Naval Engineer; Later Prof, of Engineering, Univ. of Ark. Member of 'A.S.M.E.; A.S.N.E.; A.S.N.A. and M.E.; N.E.W.W.A.,etc; Author of Steam Engine Design, Constructive Steam Engineering, etc. " I don't think much of a man who is not wiser to-day than he was yesterday." ■ — Lincoln FIRST EDITION NEW YORK JOHN WILEY & SONS, Inc. London: CHAPMAN & HALL, Limited 1918 Copyright, 1918 BY JAY M. WHITHAM PRESS OF BRAUNWORTH ft CO. BOOK MANUFACTURERS BROOKLYN, N. V. DEDICATED TO THE MEMORY OF (Eatolittt • § S w 1st class 17.74 Unconditional 17.14 do 13.04 1st class 17.74 do 17.74 do 17.74 do 17.74 Unconditional 16.60 2d class 17.74 Unconditional 13.55 1st & 2d class 17.74 1st class 17.74 Unconditional 13.35 Surplus 13.04 do .17.14 do 13.04 do 17.19 do 17.14 2d surplus 16.60 Surplus 16.60 do 16.60 do 11.08 do 12.25 2d surplus 16.60 Water in Cu.ft. sec. per Run as Defined in Lease. o 02 O o. © 1826 1827 1828 1828 1830 1830 1831 1833 1833 1835 1843 1844 1846 1846 1857 1875 1881 1883 1883 1885 1888 1889 1890 1890 Branson & Morgan Brown Hurlbut Fitzhugh Brown . ^ Cole Burkle Oswego Cotton Co. Lawrence Eno Ames Doolittle Cochrane Leib Ames Hubbard & North. Pardee Post & Henderson. Shade Cloth Co . . . CondS Cond6 . . . Gordon . CondS . 4 1 1 3 1 4 1 4 3 3 2 4 1 1.5 1 .5 1 1 5 2 4.5 Shade Cloth Co . 11.75 Not defined do 11.75 11.75 Not defined do do do do do do do do 11.75 11.75 13.5 Not defined do 40-in. Risdon D.C. wheel for 2 runs or 38.58 cfs. per run. 48-in. Hercules wheel for 4.5 runs or 34.64 cfs. per run. One No. 9 Leffel wheel or 24.4 c.f.s. per run. One 39-in. Her- cules wheel or 90.2 c.f.s. per run. Not defined 23.68 18.94 18.94 18.94 72.75 65.12 33.84 126.00 18.30 13.33 21.10 58.20 52.12 27.15 100.80 hundred years, and is yet in service (" Compressed Air," XXII, No. 7, July, 1917.) On this canal in Oswego are grants ranging from 16.67 to 126 gross horse-power per run. Many of the lessees operated flour mills for more than a generation, producing 30 WATER RIGHTS DETERMINATION from 85 to 100 barrels of flour daily per run of stones. Every lessee has and had wheels largely in excess of the power given by 11.75 cubic feet second per run. A run of stones on this particular canal has never been determined by a court, and the doctrine of practical location or construction must control should a finding be made. Wheels installed, regardless of their wastefulness or type, will, after a long lapse of time, form by their use, the measures and limita- tions of the grant. As to the test of practical construction or interpretation, consult: Jacquin vs. Boutard, 89 Hun, 437 affirmed 157 JV. Y., 686. Chicago vs. Sheldon, 9 Wall, 50, 54. Topliff vs. Topliff, 122 U. S., 121, 131. Ins. Co. vs. Butcher, 95 U. S., 273. Hatch vs. Dwight, 17 Mass., 299. Woolsey vs. Funke, 121 JV. Y., 87, 92. Dodge vs. Zimmer, 110 JV. Y., 48. Nicholl vs. Sands, 131 JV. Y., 24. Sattler vs. Hallock, 160 JV. Y., 291, 30 Seymour vs. Warren, 179 JV. Y., 1, 6. Wimme vs. Mehrbach (3d Dept.), 130 App. Div. (JV. Y.), 329, 331. French vs. Carhardt, 1 JV. Y., 96-102. Bridger vs. Pierson, 45 JV. Y., 601, 604. " Now, it has been often held that the practical con- struction put upon a contract by the parties to it is some- times almost conclusive as to its meaning, for there is no surer way to find out what parties mean than to see what they have done " (89 Hun, 437). " If this contract is to be regarded as somewhat indefinite or ambiguous, we may resort to the surrounding facts and POWER PER RUN OF STONES 31 circumstances as they existed when it was made to aid us in its interpretation and also consider the practical con- struction which the parties have given it. Its interpreta- tion by them is a consideration of importance " (160 N. Y., 291). The latest and most conclusive decision in determining that the doctrine of practical construction holds for water rights grants is the case of the Carthage Tissue Paper Mills vs. Carthage, 200 N. Y., 1, which follows along the line marked out in Groat vs. Moak, 94 N. Y., 115. " Practical construction by uniform and unquestioned practice from the outset, especially when continued for a long period of time, is entitled to great if not controlling weight for it shows how the parties who made the contract, understood it; if they did not know what they meant, who can know? " " When the parties (193 N. Y., 543, 548) to a contract of doubtful meaning, guided by self-interest, enforce it for a long time by consistent and uniform course of conduct, so as to give the practical meaning, the courts will treat it as having that meaning even if as an original proposition they might have given it a different meaning." " The lack of practical knowledge of hydraulics a gen- eration since caused a looseness in contracts pertaining to milling matters that has been productive of an immense amount of vexatious and expensive litigations. It is only necessary to glance at the methods adopted by the various Water Power Companies of the country for determining the quantity of water leased — to learn that there has been no generally recognized standard for such measurements even among those claiming to be engineers and experts 32 WATER RIGHTS DETERMINATION in such matters; it would seem that the average boy, ten years of age, who has ever played with toy water wheels would be able to provide something more definite than the Oswego plan " (Emerson, 1878, p. 18). Nine miles up the river from Oswego is Fulton, which had several large flour mills equipped with buhrs. Many of the water grants were for water sufficient to economically operate a run of stones and its accompanying machinery in the most approved manner. In the case of Wm. G. Gage vs. DeWitt Gardner and Others, the Decree of the Supreme Court of Oswego Co., N. Y. in 1891 was that a run as granted was " 140 inches of water under a 12-foot head." This means 27 cubic feet per second under a 12-foot head, or 36.8 gross horse-power, or 29.47 net horse-power with wheels 80 per cent efficient (see article on " Inches of Water"). The Decree in the case of Henry Rodee et al. vs. City of Ogdensburg, et al., in the Supreme Court of St. Lawrence Co., N. Y., 1872, found " That the quantity of water which constitutes a run of water . . . , being such quantity as was sufficient with the most approved wheels and water saving machinery to pro- pel a run of stone with the necessary bolts and machinery of a flouring mill, at the time said conveyances were executed, is 25 cubic feet per second when the fall is 9 feet, or enough to produce an equivalent power when the fall is more or less — the said quantity being nearly equal to 25 horse- power, and said quantity is the amount hereinafter speci- fied as the standard quantity per run" (p. 279 of Printed Record). Note that 25 cubic feet second on 9-foot head is actually POWER PER RUN OF STONES 33 25.57 gross horse-power. The 25 horse-power mentioned in the decree is gross, not net horse-power, and 80 per cent wheel efficiency the power is 20.46 horse-power. On page 218 of the "Printed Record" in that case, one run of water for a "Toll or custom grist is given as 25 horse-power, or the same as already noted for a "flouring mill." That is, the Decree made a grist mill use as much water and power as a merchant mill. It will appear later that, from the earliest times, the merchant mill has used the greater power. In the case of Watts T. Loomis vs. Henry Cheney Hammer Co. and Others, Judgment April 22, 1893, in Supreme Court of Herkimer Co., N. Y., the court decreed that: Thirty-six cubic feet second constituted 3 runs of stones on lot 3; 32 constituted 4 runs on lot 9; and 36 cubic feet second supplied 4 runs on lot 8. No mention was made of the heads, which were about 10.5 feet on lot 3, 14.5 on lot 8 and 16 feet on lot 9, as assumed for 1836. It seems that the various water power owners agreed, in 1887, to have Attorney Charles Rhodes, Agent of the Oswego Hydraulic Canal Co. (who laid claim to being an engineer), examine their titles and determine the propor- tion of the half flow of the Mohawk river at Little Falls, to which they were entitled. In Rhodes' report he en- deavored also to designate the extent of each right as measured in cubic feet per second. His determinations were, without opposition, embodied in the decree of 1893, as above recited. The original grants for lots 3, 9 and 8 were made in 1836. The remainder of the half river was divided into seventeen parts and these three lots were only a part of the grants. Rhodes reported that Oliver Evans' book was the standard of 1836 (although Evans had been 34 WATER RIGHTS DETERMINATION dead seventeen years at the time of the grants, and had written his book on milling in 1795, or forty-one years earlier), that Evans made a run 10 horse-power, which Rhodes said would be obtained with overshot or breast wheels, of 70 per cent efficiency, under the heads as before given, which heads he took from hearsay. Rhodes in these 1887 studies had no power to call witnesses or administer an oath. He was influential, if not controlling, in deter- mining the meaning of a run of stone on the Varick canal as decreed in 1875 (see page 26) to be water enough to give 37.75 gross horse-power for grants of from 1828 to 1860, or 30.25 net horse-power with 80 per cent turbines. Rhodes in 1885 to 1890 was the agent who made the Oswego leases with Conde and Gordon for a total of 9.5 runs of stones (see page 29) permitting in the lease certain turbines to be used to measure the grants, and conveying water represented by from 33.84 to 126 gross horse-power per run. Can it be that a run is only 10 horse-power in Little Falls and from 30 to 100 horse-power in Oswego — as determined by the same man? Rhodes called the effi- ciency of overshot and breast wheels the same, or 70 per cent which is an error. Note further that Evans nowhere mentioned the term horse-power in his book nor gave the percentage of efficiency of any water wheel, nor the net power used for any purpose. This Little Falls decree was made simply to proportion the variable half river flow among the different owners, so that they could bear their several parts of the upkeep of the dam and bulkheads and power canal, and not to deter- mine or measure a run of stones. On the Saranac river in Plattsburg, N. Y., were divided POWER PER RUN OF STONES 35 water interests dated 1829. These were determined in Hartwell & Winslow vs. Mutual Life Ins. Co., in the Supreme Court of Clinton Co. in 1884. On the trial a mass of expert testimony was introduced by engineers, millwrights and millers, as well as evidence as to the use of water in the past. The court found that the water for 8 runs of stones was 259.463 cubic feet second. In one part of the decision a head of 11 feet 8 inches was mentioned. The decision was reversed on appeal (50 Hun, 497), and a second decision rendered. The final decree was that 8 runs are measured by 233.517 cubic feet second, without the head being mentioned. In the trial the head was shown to be 13 feet, which is the head now actually in use at the mills. The first Plattsburg decree gave, for the 1829 grant, 259.463 cubic feet seconds when the head had been taken as 11 feet 8 inches down to the centers of the tub wheel runners. The centers of the throats for the tub wheels were 10.5 inches above the centers of the runners, and the court thought the referee erred in taking the larger head. The court also ruled that some coefficient of discharge other than 100 per cent should probably have been applied. The spouting velocity for a head of 11 feet 8 inches is 27.405 feet per second, and for 10 feet 9.5 inches, it is 26.362. Accordingly the aggregate throat areas for the spouts of the tub wheels were 9.467 square feet, as is found from Q = 259.463= A X 27.405. The referee in his second report (which was accepted by 36 WATER RIGHTS DETERMINATION all parties) found for the 8 runs a total of 233.517 cubic feet per second. Taking the reduced head, it appears that the referee used for his final report a discharge coefficient for the tub wheels of about 94 per cent as is deduced from £he following equation : Q = 233.517 = 9.467 Xcoefficient X26.362 It is to be noted that the court's decision is based on use, and the doctrine of practical location, also that " the quan- tity to which the plaintiffs are now entitled is the same as it was then (i.e., in 1829) . . . We think the plaintiffs . . . are not obliged to reduce the quantity because improved modern appliances can give equal efficiency (i.e., net power) to a much smaller volume of water." The 233.517 cubic feet seconds on 10 feet 9.5 inches head, and 35 per cent efficiency for tub wheels give 100.2 net horse-power, or 12.5 horse-power per run. It is a matter of interest that 259.463 cubic feet second under 11 feet 8 inches head is the same in power as 233.517 cubic feet second under 13 feet head, each being a total of 344 gross horse-power for the 8 runs, or 43 gross horse-power per run of stones. This gives 34.4 net horse-power at 80 per cent wheel efficiency. One of the most interesting cases on divided water inter- est, and the doctrine of practical construction, is known as the Carthage Tissue Paper Mills vs. Village of Carthage and Others, 200 N. Y., 1. The hearings were held in 1904. Among the many grants and decrees were the following relating to grist mills: POWER PER RUN OF STONES 37 Date. Water Right. Court's Finding. 1830 "... Sufficient water to carry saw for a saw mill, or 3 pairs of grinding stones." 1860 "Right for an ordinary grist mill with' 4 runs of stones " 1866 "Right for a common country grist mill with 5 runs of stones, constructed in the most approved principles to save water" The decree did not mention the head of water. The testimony varied as to the head which was measured, dur- ing the hearings, to be about 9 feet. It will later be shown that when a grant of water is made in inches of aperture, then an opening of the square inches named is meant, and the orifice must be " standard," i.e., constructed with sharp, square edges and without ajutage effect. But when a grant is made of inches of water it is measured by the theoretical discharge through an opening of the area in square inches named, and under the existing head. Upon this basis the Tissue Paper case found for grist mills: Date. Ins. of Water per Run. Cu.ft. sec. Gross H.p. per Run, 9 Ft. Head. Net H.p. with 80 Per Cent Wheels. 1830 1860 1866 266.67 250 220 44.4 41.7 36.7 45.4 42.6 37.5 36.3 33.1 30.0 No doubt the court had the improvements in the effi- ciency of water wheels in mind, as between 1830 and 1866, when determining the inches of water per run of stones in a common country grist mill, and was also aware that the 38 WATER RIGHTS DETERMINATION efficiencies were below 80 per cent, and the net power per run was less than here computed with that percentage. In Powers vs. Perkins, 132 Mich., 33, " Complainant built a water power canal, the power of which was placed at 66 runs of stones, or 990 horse-power ..." This is 15 horse-power per run. LeffePs 1877 Wheel Book contains sizes of wheels and heads for 269 grist mills in 22 states of this country, with an aggregate of 488 runs of stones (or an average of 1.8 runs per mill), and an average installation of 15.4 horse-power per run. Pache's grist mill at Glenora, N. Y., built in 1833, oper- ates three runs of 4§-foot stones and accompanying machinery on wheat, buckwheat and corn or feed, respectively. It was operated up to 1874 by a 24-foot overshot wheel, 12 feet wide, 8-inch buckets, and about 4-foot head, producing about 85 horse-power. It was replaced by an 8-inch Mun- son turbine under 124-foot head and rated at 69 horse- power. Transmission losses of about 16 horse-power were eliminated by the use of the turbine and the substitution of belts and more direct drives for spur gearing and a system of jack shafting. The overshot made about 1\ R.P.M. as compared with 1400 by the turbine. This grist mill has one of Evans' hopper-boys which has not been used for forty years or longer. Its four-sided revolving screen is eighty-five years old. Other mechanisms have been in use for from forty to sixty years. Its Harris smutter is seventy years old. The stones turn at 125 R.P.M. The wheat stone grinds from 8 to 10 bushels per hour and produces from 40 to 50 barrels of flour per twenty-four hours. The full power of POWER PER RUN OF STONES "39 the turbine is required for the operation of the three runs, each of which uses about the same power (Whitham, 1918). Haswell, evidently referring to a grist mill, gives 15 horse-power for a 4-foot run grinding 5 bushels per hour (1878 Ed., p. 556). Leffel's Wheel Book of 1890, p, 48, allows 20 horse-power per run of 4-foot stones and auxilia- ries in merchant mills, and from 10 to 12 horse-power for country mills. In 1913 the Leffel Co. gave 15 horse-power for a run of 4 to 4.5-foot stones, figured on needing 1.5 horse-power per bushel hour, or grinding 10 bushels. Moore allowed 15 horse-power for a 4-foot stone and its machinery (p. 505) as did Leonard (1848, p. 40), and, also, Emerson (1894, p. 99). Nordyke and Marmon's Mill Book allows 20 horse-power for 4-foot stone using 15 bushels per hour, or 1.33 horse- power per bushel for simply grinding the wheat. Rechard, 1887 Wheel Book, says: " For merchant mills allow 20 horse-power to a pair of burrs (4 feet) and the neces- sary machinery for cleaning and bolting, and for country mills about 10 horse-power to a pair of burrs." Hughes issued his first edition of " Miller's and Mill- wright's Assistant " in 1851 . On p. 55 he gives a table relating to the " inches of water " needed with 4.5 and 4-foot stones in grist mills, stating that the powers are respectively 6 and 5 horse-power. Hughes, p. 8, claimed to be a " practical miller." He had a small mill in Michigan having previously worked in a grist mill in Ohio, and said (p. 101) : " This very day that I am writing this article, my own experience fully convinces me of this fact. I went to my usual avocation in attending the business of my mill. I have one of Howd's Patent 40 WATER RIGHTS DETERMINATION Direct Action Water- Wheels; my head and fall is usually about 5 feet. This day, November 26, 1848, I had high water setting back on my wheel 36 inches ..." Pallett, of St. Louis, in writing his " Miller, Millwright and Engineer," preface and copyright of 1866, ^ absorbed p. 55 of Hughes, giving it on p. 227, without credit. These two books are so often mentioned as authorities on the power of a run of stones that it is well to here reproduce the entire table and page referred to, as shown on p. 41. In order to show the engineering meaning of this table, take a 4.5-foot stone, with its accompanying machinery in a grist mill, with 16-foot head, using, per table, 68 inches of water, and developing 6 horse-power. The article on " Inches of Water," later on, discloses that the correspond- ing water used is 15.1 cubic feet per second, which is 27.4 gross horse-power for the head selected. If only 6 horse- power is obtained, then the wheel efficiency is only 21.89 per cent, or only about two-thirds of that of an old-fashioned undershot wheel. Note that Hughes, on his preceding page, discussed " Combination reaction wheels," which (p. 53) he mentions as represented by the Lansing turbine, and, on pp. 57-64, by the Howd and Jagger turbines. On p. 66 his table is for Jagger turbines of 65 per cent efficiency. Note, also, that on the page following the table Hughes takes up over- shot and breast wheels whose efficiency, as is well known, ranges from 65 to 80 per cent for the former, and from 40 to 60 for the latter. The same may be said of Pallett. On the preceding page he treated " overshot or breast wheels " (as if they were POWER PER RUN OF STONES 41 A TABLE Of the Number op Inches of Water Necessary to Drive One Run of Stones, with all the Requisite Machinery for Grist and Saw Mills, which Will Be Found Convenient for all Practical Pur- poses. Under Heads of Water from 4 to 30 Feet Height of Head Size of Stone in Feet. Horse- power. Horse- power. Number of Saws being One. in Feet. 44 4 4 558 460 6 5 The same quantity of water that 5 363 300 is here used for a 4-foot stone 6 311 250 is sufficient for one saw; and 7 245 200 where a greater number of 8 190 160 either saws or stones are re- 9 163 130 quired, you should double the 10 137 112 quantity in proportion to the 11 122 102 number, as in the case of four 12 107 89 run of stones; you requ're four 13 95 80 wheels, with the same number of 14 83 70 inches for each size stone, as 15 75 62 per table. But, in all cases 16 68 57 for merchant flouring mills, 17 62 51 you require an extra wheel, 18 57 47 which all the machinery should 19 52 44 be attached to, with about 20 48 41 one-half the power as cal- 21 45 37 culated for one run of 4|-foot 22 43 35 stones. 23 39 32 . 24 37 30 25 35 29 26 32 27 27 31 26 28 29 24 29 28 23 30 26 22 identical), and on the page following his table he discussed the weights of columns of water. Only one conclusion is evident, that both Hughes and Pallett were millers with experience restricted to small 42 WATER RIGHTS DETERMINATION grist-like mills, and unable to determine the powers used. Their books are compilations from outgrown writings on milling, principally relating to English practice. If Hughes' 5 or 6 horse-power is sufficient for a run of stones, then it would produce not to exceed 10 barrels of flour per twenty-four hours. Yet Hughes states that the capacity of a run is 50 barrels per day (p. 89); 50 to 65 barrels (p. 89) ; 37.5 to 50 barrels (p. 96) ; and 70 barrels (p. 259). On pp. 82 and 83 he said "... a stone 4.5 feet diameter, making 175 R.P.M., grinding 15 bushels per hour. . . " On p. 203 he gives 4.5 bushels per barrel, so that 15 bushels is 3.33 "barrels per hour or 80 barrels per day. In no part of Hughes' book is the amount of power given except in the table above referred to. It is evident that Hughes knew but little about power. Pallett makes a 4.5-foot stone grind from 10 to 15 bushels per hour (pp. 30, 54, 67, 75) and no one believes that it can be done with his 6 horse-power. He makes (p. 181) a two-run mill grind 100 to 120 barrels per day, which no one believes can be done with twice his 6 horse-power. Comparing pp. 181 and 202, his steam plant, according to his own rules, makes 82 horse-power to produce 100 to 120 barrels per day in a 2-run mill. A grist mill must, of necessity, have at least 2 runs of stones, one for wheat and the other for corn and feed, since the dressing of the stones is different for these two uses (Pallett, p. 45). Accordingly a grant of sufficient water to operate a grist mill means at least from 12 to 15 horse-power for wheat milling, and from 15 to 18 horse-power for corn or feed grind- ing, a total of at least 30 horse-power. In the early days POWER PER RUN OF STONES 43 grist mills were abundant, there being 250 in Chester Co., Pa. (" Mill. Rev.," May, 1916). B. W. Dedrick, in charge of the Milling School hi State College, Pa., whose milling experiences began in 1876, and who has operated mills representing every stage of milling development since 1800, gives the power to operate a run of stones to produce 100 barrels per twenty-four hours, as Horse-power 1st. Old system of " flat " or low buhr stone milling. 31 2d. New system, or " half high " buhr milling 40 3d. With the " combination " system of rolls for breaking down and a buhr for grinding 40 4th. With a modern " roller " mill using ring-oiling bearings 30-35 "It is to be assumed that the mill stones are in good condition to grind the maximum capacity. Dull stones consume a great deal more power. Either the feed must be decreased, or the pressure increased by closer setting, which means increase of power, of 1 to 3 more horse-powers " (Dedrick). The system of " flat " or " low " buhr milling lasted, in the United States, until about 1867 or 1868 (Ordway) or 1873 to 1874 (Dedrick), when it was replaced by the " half-high " system. In about 1875 or 1876 (Ordway) " breaking down " rolls were introduced and formed, with the grinding stones, the "combination" system. The full " roller " system began in 1877 or 1878 (Ordway) and had replaced stones in flour making, generally throughout the country, by 1890 (Dedrick). Leonard's ' ' Mechanical Prinoipia, ' ' New York, 1 848, treats 44 WATER RIGHTS DETERMINATION principally of water wheels and cotton mills. He, however, gives a table relating to a 4.5-foot stone, which, with accom- panying machinery, will use 14 " calculated " or 12 actual horse-power (p. 149). He evidently had a grist mill in mind. The writer has personally examined 52 grist mills, in 12 states, determined the wheels in use and measured the heads and falls, and found that these common country mills used from 12 to 18 horse-power per run of stone, in- cluding accompanying machinery, with an average of 15.3 horse-power. In conclusion, enough has been given to show that a run of stones, with its accompanying machinery, called for 30 to 40 horse-power in a first-class merchant mill yielding 85 to 100 barrels per day; 20 to 25 horse-power in a second class merchant mill yield- ing from 50 to 60 barrels per day, and from 12 to 15 horse-power in a common country grist mill. Definitions: Grist: A portion of grain brought to a mill to be ground (Stand. Diet., 795). Grist: A grinding. Grain carried to the mill to be ground separately for the owner. The amount ground at one time; the grain carried to the mill for grinding at one time. (Cent. Diet. Ill, 2628). Flouring Mill: A mill for making flour, usually on a large scale; dis- tinguished from grist mill (Cent. Diet. Ill, 2282). Grinding Mills: Bed stone; a stationary mill stone, usually the lower one. Runner: A revolving mill stone, usually the upper one. Run of stones: A pair of mill stones in working order (Knight's "American Mech. Diet.," Vol. I, 1019). Corn: Grains, such as wheat, rye, barley, maize, etc. In England it is usually understood as signifying wheat; while in America and in most parts of the world, the term implies maize or Indian corn (Herbert, Vol. I, p. 402). RUN OF STONES FOR CORN MEAL 45 Grain is the matured, clean, sound, air-dried seed of any cereal or buck- wheat. Meal, unless otherwise specifically qualified in these standards is a clean, sound product made by grinding the grain without the addition thereto or removal therefrom of any essential product or part thereof. Flour is the fine, clean sound product made from wheat meal by bolting or by a process accomplishing the same result ("Mill. Review," January, 1916). RUN OF STONES FOR CORN MEAL AND FEED MILLS The legal weights of corn are, shelled at 56 pounds to the bushel, and 70 pounds on the cob.* The Rogers Mill, at Hyer, W. Va., operates a 4-foot run on 200 bushels of corn a day, and a cob crusher on 30 bushels per hour, with a 25 horse-power engine ("Mill. Rev.," Nov., 1916.) Wood's Mill, at Fredericksburg, Va., has (driven by electricity) : Two 3-foot stones at 240 R.P.M. on corn grinding, using 16 horse-power minimum and 20.5 horse-power maxi- mum, and One 3-foot stone at 240 R.P.M. also on corn meal, usirg 13.57 horse-power maximum and 5.25 minimum. One Attrition mill with power range of 7.5 to 16 horse-power. The Nesbitt Mill, at E. Springfield, Pa., reported, " I dressed the 54-inch burr feed run . . . The first hour I ground 1600 pounds of meal " ("Mill. Rev.," Apr., 1916). This is about 28 bushels per hour per 4.5 foot stone, when sharp. * Oats weigh 32 pounds per bushel; barley, 48 pounds; rye, 56 pounds - buckwheat, 52 pounds; and bran, 20 pounds. 46 WATER RIGHTS DETERMINATION Bartley, 1900, p. 34, gives, for a 4-foot stone: 6 horse-power for 6 bushels of corn per hour; 8 horse- power for 9 bushels; and 10 horse-power for 12. Wolfe's " Mill Book," p. 25, gives powers as follows for grinding corn with Munson's under runner buhrs: Stone. Bushels per hour. Horse-power Speed of Stone, R.P.M. 36 35 to 60 15 to 20 290 42 60 to 75 20 to 25 240 Pierce's mill, at Ivanhoe, Va. (erected in 1843), has (1917) two 4-foot buhrs at 160 R.P.M. One grinds 10 bushels of corn per hour generally, but can be pushed to grind from 15 to 20 bushels. Each run uses about 15 horse-power when grinding 10 bushels of corn per hour. One run is on feed. This is at the rate of 1.5 horse-power per bushel hour. In the trial of the case of Carthage Tissue Mills vs. Village of Carthage (N. Y.) and Others in 1904, Jos. V. Guyot testi- fied that in 1845 he used a fiat-vaned, central-discharge wooden wheel, 300 square inches throat, 9-foot head, to operate a run of stones grinding corn for meal, and, also at times on feed grinding. Calling the coefficient of dis- charge 95 per cent and the efficiency 35 per cent, the power developed by the wheel was about 17 net horse-power. The Firtilitz Mill, near Lancaster, Pa., has a 20-horse- power wheel operating an attrition mill ("Mill. Rev.," Dec, 1915). Moore, pp. 652-3, gives, for portable corn mills, 3.5-foot stone at 275 R.P.M., 15 horse-power, to grind 20 bushels of corn per hour into fine meal, or 30 bushels into coarse, or to crack 200 bushels. RUN OF STONES FOR CORN MEAL 47 B. W. Dedrick, of the Milling Department of State Col- lege, Pa., gives: 16 horse-power for a 4-foot stone, grinding 30 bushels of coarse feed, or from 10 to 12 bushels of fine corn meal per hour. Wells, p. 153, says: " It requires about 1.33 horse-power to grind a bushel of corn (per hcur) of ordinary hardness to an average fineness." At the Sage Mill, Elkhardt, Ind., 1888, it took 42 horse- power to grind 20 bushels of corn an hour, or 2.1 horse-power per bushel hour (Emerson, 1894, p. 63). Emerson reported another test he had made with a 16-foot breast wheel, 13 feet wide, with buckets 18 inches deep, 12-foot head, producing 28.08 horse-power and very coarsely grinding 2050 pounds per hour, or 1.3 bushels of old corn per horse-power per hour. He found (p. 73) that 1 horse-power coarsely ground from 2.1 to 2.2 bushels of new corn per hour (1894, pp. 72-3). In a test at N. Sunderland, Mass., 29.5 horse-power drove a 5-foot buhr stone at 145 R.P.M., grinding 61 bushels of corn per hour, or 1 horse-power to 2.07 bushels (Emer- son, 1894, p. 97). Gump's " Old Mill Book " makes a 3-foot stone at 200 R.P.M. on wheat, or 350 R.P.M. on corn or feed, grind (without cleaning, bolting or dressing) as follows by the use of 16 horse-power: 10| bushels of wheat, or 1.52 horse-power to simply grind a bushel per hour, or 27| bushels of corn into meal, or 1.72 bushels per hour per- horse-power. 42| bushels of feed per hour, or 2.66 bushels per horse-power. 48 WATER RIGHTS DETERMINATION This mill book gives 1 horse-power for 2 bushels of feed per hour when ground in an attrition mill. Smith's Mill, Skippackville, Pa., 1879, ground 24 bushels corn per hour with a 10.8 horse-power Cope wheel. Craik ground 8 bushels of corn per hour with a 4.5-foot stone, or 8.33 bushels of mixed grain for feed (p. 131). Tests by the Author, in 1912, at the Dunlop Mills in S. Richmond, Va., with three 4-foot and four 3.5-foot buhrs, at 180 R.P.M. showed that the 7 stones ground a total of 1200 bushels of corn meal in twenty-four hours with a 36-inch Smith-McCormick turbine, 18-foot head, 105 horse-power, or 7.1 bushels per run per hour, and 2.1 horse-power per bushel, and 15 horse-power per run. A bushel of meal being 48 pounds, 43 bushels of corn were ground hourly, or 2.44 horse-power were used per bushel of kiln-dried corn per hour. The product was a very finely ground meal. The power a run of stones used in grinding corn meal, or in grinding feed, depended upon the size and speed and condition of the stone, and the amount of power available, as well as the strength of the feed to the buhrs, and the fineness of the meal. It was fully as much as the 12 to 15 horse-power per run found for a grist mill on wheat, and probably ranged from 15 to 18 horse-power. CORN CRACKER OR CORN CRUSHER Definition: " Corn Cracker: A farm or plantation mill having an outer iron shell with a corrugated inner surface, and a core or cone with sharp projections which, rotating within the shell, coarsely grinds the corn for stock feeding. CORN CRACKER OR CORN CRUSHER 49 Used for grinding on the cob" (Knight's " New Mechanical Dictionary," Boston, 1884, p. 221). This definition applies to the ordinary form of crackers or crusher found in almost every grist mill. It is constructed like the bark grinder found in tanneries and described by Morfit (1852, p. 132), and which ground a ton or cord of bark per hour with a 10-horse-power engine. " In some mills, and many forms of corn crackers, metallic plates have been substituted for stones," among the first being a patent to Dervoux, for a French military mill in 1824 (Knight's "Amer. Mch. Diet.," Vol. I, 1020). Hughes, 1851, p. 215, described Ross' " new and per- fect machine for cracking corn on the cob," and says, that it is an improvement over the then old-fashioned corn crusher. The Ross cracker was " capable of cracking from 20 to 50 bushels per hour " when turning at about 200 R.P.M. The Author recalls a horizontal corn cracker or cob crusher in use at Martintown, Wis., in about 1865. The revolving cylinder was a log of wood with heavy spike heads projecting from its surface. It was set in a case, the con- cave of which was also provided with heavy, projecting spike heads. The spikes extended outward about an inch. The ear corn was shoveled into the cracker and the product discharged, as broken cobs, shelled corn, and partially cracked corn at the bottom. There was an adjustment controlling the size of the broken cobs, etc. Sometimes the product from the cracker was fed as such, but, preferably, it was put through a feed or chop buhr. The farmers believed that the cob was of value for distend- ing purposes. 50 WATER RIGHTS DETERMINATION By a deed of 1867 Gardner, Makepeace & Smith acquired an old mill at Theresa, N. Y., and water rights " to drive the 5 runs of stone, corn cracker, smut machine," etc., in the mill. Snell testified that the " corn cracker was nothing but an old-fashioned bark-mill such as tanners use." Millers call this machine " a corn cracker," a " cob crusher," and a " corn crusher," mdiscriminately, but it relates to the treatment of the ear corn, and to the bark- mill type. Schaeffer, Merkle & Co., Fleetwood, Pa., gave an ex- cellent illustration of this corn cracker in their catalogue of 1886, and said, " Our Corn and Cob Breaker will break 30 bushels of corn per hour, and can be set or regulated by a set screw for fine or coarse. Corn can be cracked without running it over the chopping stones." A similar illustration is found in Rechard's "Wheel Book" of 1887, p. 52, with a capacity of 30 to 60 bushels per hour, depending upon the setting as to a fine or a coarse product. This corn cracker, set coarse, was also used as a corn sheller. Again, it was used to crack and, also, to coarsely grind shelled corn. The Ridgeway " Wheel Book," p. Ill, gives a cut of a small corn and cob crusher requiring only ^ horse-power. H. J. Woolcott, experienced miller, Steelton, Pa., says, that the present form of machine, which is like a coffee mill, is the same as used fifty years ago or longer, and " the power it requires — depends upon how fast you feed this machine which . . . runs all the way from 1 to 3 horse- power." The Wolfe Co. states that such corn crackers use from 5 to 8 horse-power. CORN CRACKER OR CORN CRUSHER 51 Sullivan's corn and cob crusher " for cracking, crushing and shelling corn " is given in the old Gump Mill Book, as having a capacity of from 100 to 125 bushels of product per hour, all being reduced to the size of the kernel, for his No. 7 machine, and from 50 to 100 bushels per hour when the product is reduced to the size of wheat or smaller. His No. 12 machine is given as reducing the product to half the size of a kernel for 125 to 200 bushels per hour. " The cone may readily be raised or lowered — securing a wide range of adjustment. The cob alone may be cracked, or the "corn and cob reduced entirely to a coarse meal. . . . Eight horse-power will answer for any form of cracker . . . The speed can vary from 100 revolutions per minute upward; about 300 to 400 give high capacity." The same mill book gives for the " Economy " corn crusher, which is a horizontal machine, — No. 14. 20 to 35 bushel-hour, 500 to 700 R.P.M., 2 to 4 horse-power. No. 15. 40 to 70 bushel-hour, 500 to 700 R.P.M., 4 to 8 horse-power. The " Triumph " corn and cob crusher (of the inverted coffee grinder type) ". . . can be adjusted to crush the cob coarse, medium or fine, ready to be finished on the buhrs or rolls." J. R. Thomas, an experienced miller of Richmond, Va., says that in his early days out west, " What we called a corn cracker was a 3.5 or 4-foot stone of open stock coarsely cracked and furrowed, and we used about 10 horse-power to put through 50 bushels an hour. We used the same stone to grind corn and oats, and all kinds of coarse feed." Shelled corn, rather than ear corn was used. 52 WATER RIGHTS DETERMINATION The Carter Mill, Luray, Va., had in 1888, one Alcott 24-inch turbine, 8-foot head, 8.8 horse-power at full gate. At half gate it operated a " chopper and corn crusher." The O'Bold Mill, McSherrystown, Pa., 1883, drove " the choppers and corn crackers " with a 24-inch Rechard turbine, 9.5-foot head, 13.46 horse-power. Worrall's Mill, West Chester, Pa., 1882, drove two 4.5 runs of buhr stones with accompanying machinery and a " corn breaker " with a 50-inch Cope wheel, 5-foot head, 15.6 horse-power. A 20.4 horse-power Cope wheel at Wright's Mill, West Grove, Pa., 1882, ground 9 bushels of feed and also " breaks corn." OdelFs Mills, Croton, N. Y., 1871, drove a run of stones and, also, a " corn cracker " with a 14.6 horse-power Reynolds turbine. Hibbard's Mill, New Windsor, Md., 1889, drove, simul- taneously, a 2.5-foot and a 4-foot buhr stone, and a " corn crusher '' with a Burnham turbine of 8.86 horse-power capacity. Roger's Mill, Hyer, W. Va., with a 25 horse-power engine drives a " corn cob crusher " handling 30 bushels per hour, and a 4-foot stone for 200 bushels of com per day (" Mill. Rev.," Nov., 1916.) A 25-barrel " Midget " Marvel flour mill and a " Dread- naught single attrition chopper and crusher " are driven by a 25 horse-power gas engine at Petersburg, O. (Ibid.). Wait, 1871, stated that a No. 36 Champion turbine, 8.5-foot head, 16.8 horse-power will " drive a 4.5 foot buhr stone to grind 25 bushels of corn and cob per hour, and run a cracker at the same time." WATER RIGHT FOR A DISTILLERY— STARCH MILL 53 From tests made by the Author at the Weaver Mill, near Hudson, N. Y., and elsewhere, the power used by an earcorn " crusher " or " cracker " ranged from 3 to 7 horse-power, dependent upon the speed, the available power and the steadi- ness and amount of the feed, and the fineness of the product. WATER RIGHT FOR A DISTILLERY The decree in the case of Henry Rodee et al. vs. City of Ogdensburg et al., 1872, Supreme Court of St. Lawrence Co., N. Y., found that the water necessary for a " most approved " breast wheel turning a run of stones for grind- ing grain for a distillery, and the grain and meal elevators, and to turn and bolt and mash the meal was 25 cubic feet per second and 9-foot head. This is about 25 gross horse- power or 12.5 net horse-power with the wheel efficiency at 50 per cent. STARCH MILL Emerson, 1894, p. 62, gave a test, in 1888, at Muzzy's starch mill in Elkhart, Ind., using 1000 bushels of corn per day with turbines generating 56.37 horse-power^ Dynamometer tests of a 4.5-foot buhr stone, at 250 R.P.M., on the wet re-grinding of corn at the Kingsford Starch Works, in Oswego, N. Y., by Wm. H. Bullock, mill- wright, showed 65 net horse-power consumed by it in 1903. This stone reground the product from 3 runs of stones which had handled 2200 bushels in eight hours, and from which 30 pounds of starch per bushel had already been extracted. The second grinding yielded about 10 per cent starch. 54 WATER RIGHTS DETERMINATION WATER RIGHTS OF AN OAT MEAL MILL Craik, 1870, p. 335, describes an oat meal mill and states that it requires less power than for grinding corn into meal. In 1895, a 200-barrel oat meal mill, in Warren, 111., was driven by an 80 horse-power steam engine, operated at rating, or it used 40 horse-power per 100 barrels per twenty- four hours (Brandt). On Lot D, Factory Square, Watertown, N. Y., Kimball operated an oat meal mill from 1861, or earlier, down to 1887. It had a round pan-oven set over a furnace. A power-driven rake or agitator was used during the roasting. There were one 4-foot hulling stone, rigidly set; steel cut- ters for cutting the hulled meal; and separators, suction fans, elevators and conveyors (Rhines) WATER RIGHTS OF PEARL BARLEY MILLS Pearl, or pot barley mills are described by Pallett, 1866, pp. 91-93; Craik, 1870, pp. 366-382; Knight, 1876, p. 1550, Vol. II; and by Evans, 1795. Up to about 1890 a pearl barley mill operated at Mott- ville, N. Y., having a right to the flew of water through an aperture of 100 effective, or 160 gross square inches under the head on the property of 16.2 feet. This right was limited to the use of 21.5 cubic feet of water per second under the head given, or to 31.3 net horse-power with a wheel of 80 per cent efficiency. In this Mottville mill were an elevator and conveyor to a smutter; a four-section screen for assorting the barley; WATER RIGHTS OF PEARL BARLEY MILLS 55 four elevators and conveyors feeding the assorted seeds into storage bins; two pearling mills, one being used, while the other was being emptied and recharged; a dust elevator and conveyor; a finished pearled barley elevator and con- veyor; and a packer. The mill used the full capacity of the water right, or 31 horse-power (Whitham). Farwell and Rhines, under a grant of 1827 of " water sufficient to operate a machine shop, a forcing pump, and a trip hammer, in all equivalent to three wheels," upon what is known as lot D on Factory Square, at Watertown, N. Y., ran a pearl barley mill after 1887, for ten years. This mill had three Scotch pearling stones for barley, one being in reserve, each 5 feet diameter by 14-inch face, turning at 200 R.P.M. They were encased in perforated metal, the casings being 6 or 7 inches away from the stones. A charge of about 3 bushels of barley was made, which, after treating for about thirty minutes, was automatically discharged. The pearler was then automatically recharged. The first pearling removed the rougher coating from the barley. Pearling was repeated until the barley was reduced to the size needed. There were six sizes or gradings, from No. 1 to No. 6. The latter was about the size of " a pin head." The mill was usually operated on Size No. 3. This mill used barley to produce 150 kegs of pearl barley, each 100 pounds, in seven days, using two pearlers. Rhines testified that the power used was from 40 to 50 horse- power per stone, or from 80 to 100 horse-power total, for 15,000 pounds of No. 3 pearl barley per week. Kimball had operated this mill from as early as 1861 down to 1887, using two pearlers at a time. A split-pea mill is described by Craik, 1870, p. 364. 56 WATER RIGHTS DETERMINATION SAW MILL WATER GRANTS Water grants for specific uses, and indefinite as to quantity to be conveyed, were made in the period from 1800 to about 1900. Those relating to saw mills were generally applied to plants having a flat, up-and-down saw of about 6 feet length by 7 or 8 inches breadth for a " gate " (Evans, Part V, p. 82), or 7.5 feet by 7 inches for a "mulley" (or gateless) blade (Pallett, p. 119). The " sash " or " gate " saw (known as English gate) was set in a frame, resembling a window sash, and was thin- ner and ran slower than the mulley saw. The mulley saw was thicker and stiffer than the gate saw, and cut a wider kerf (Pallett, Elliott, Craik). The speeds of these saws were: " 200 and upwards per minute " (Pallett, 1866, p. 122; Reynolds, 1868). 120 to 130 R.P.M., driven by a flutter wheel (Pallett, 1866, p. 232). 150 to 180 R.P.M. (Bartley, 1900, p. 34). " For a single upright saw allow 10 horse-power, speed about 175 per minute. If more power is used, increase the speed in proportion" (Rechard, 1887, p. 99). 150 R.P.M. will cut 2000 to 3000 feet per day, 10 horse- power allowed for a medium upright saw (Curtis, 1881, p. 53). 120 R.P.M. per Evans, 1795, Part V, p. 77. " 400 clips per minute " (Reynolds, 1868). 100 to 130 strokes per minute, Jones (Evans, 1795, App. 9). SAW MILL WATER GRANTS 57 Such saw mills, as they existed from before 1795 down to 1860 or 1870, were operated by three water wheels. The saw blade was driven by a flutter wheel in order to have a high speed. Pallett (p. 232) in 1866 wrote that flutter wheels " are mostly used for propelling the saw in saw mills — when the water is plenty, and the fall above 6 feet — (they are) low and wide when the head is small, and high and narrow when there is a high head ..." The log carriage was operated by a " spur " or " gig " wheel, generally of the pattern known as a tub wheel. The logs were hauled to the carriage by a " bull " wheel, usually a tub wheel, which could readily supply two saws. Excellent illustrations of these old saw mills are to be found in Plate IX of Part V of Evans' 1795 Ed.; Plate 28 of Gregory's Mechanics of 1806; Craik, 1870, Fig. 34; Glynn, 1885, p. 73. Deeds of 1841 and 1853 for the Woodward saw mill at Wausau, Wis., were for a " double saw mill " with " 2 water wheels " (one for each saw), " a bull wheel " (for pulling logs out of the river), " two gig wheels " (for driving the log carriages, and a wheel for the " edging saw," or a total of 6 wheels. The 1842 deed for the Plumber mill at Wausau with its " double saw " prescribed 5 wheels. The deed of 1848 (at Wausau) to Fahley for a " double saw mill " prescribed 7 wheels. An old grant of water for " a saw mill " means, unless otherwise stated, sufficient to operate but one saw, its carriage and log drag, i.e., three primitive water wheels. 58 WATER RIGHTS DETERMINATION Before endeavoring to fix the amount of power needed to be generated to operate " a saw mill " it is well to study the old literature as to the power consumed in wood sawing and the product in board measure per day. Evidently this varies with large and small logs, green and dry wood, hard and soft woods, the sharpness or dullness of the saw, and the width of the kerf . Haswell, 1854 edition, p. 297, described a steam saw mill with two vertical or upright saws, each with 34-inch stroke. A 10 by 48-inch engine at 35 R.P.M. was supplied with steam from three to 30 inches by 20 feet plain cylinder boilers, under 90 to 100 pounds steam pressure. The engines received steam at full stroke, which is equivalent to 54 horse-power production for 2 saws. The wood sawed was yellow pine cut at the rate of an 18-inch board, 30 feet long, or 45 square feet per minute, or 2700 feet B.M. per hour. Accordingly 1 horse-power cut 50 feet B.M. of yellow pine per hour (see, also, Moore, 1880, p. 642). Several authorities state that 1 horse-power will saw, with circular and gang mills, 75 per cent as much hard as soft wood. Applying this rule to the up-and-down saw, it would have sawed 37 feet B.M. of hard wood per horse- power per hour. From this it appears that the capacity of a single up-and-down saw is, when supplied with ample power, 1350 feet B.M. per hour of yellow pine, or 1000 feet of hard wood, using 27 horse-power. Tests of the power used by such saws have been made as follows: The McLaughlin Mill on Big Elk Creek, Md., had one up-and-down saw driven by a 14 by 8-feet overshot wheel, SAW MILL WATER GRANTS 59 with buckets 18 inches deep, spaced 21 inches apart, and developing about 25 horse-power (Whitham). The Stevens Mill, built 1807, on Darby Creek, near Philadelphia, has such a saw driven by a 30.5-inch Leffel wheel since 1868, with a 12-foot head, producing 24 horse- power (Whitham, 1918). The James Mill, on Ridley Creek, near West Chester, Pa., had, 1907, such a saw driven by a 20-inch Cope wheel, 15.25-foot head, 15 horse-power (Whitham). The Dutton mill, on Chester Creek, near West Chester, Pa., had (1909) such a saw driven by a 30.5-inch Leffel wheel, 11-foot head, 19 horse-power (Whitham). Ten mulley saws in New York State were, prior to 1877, provided with Leffel wheels averaging 20.6 horse-power, while 21 such saws, in various states, were listed in Leffel's " Wheel Book," of 1877, as averaging 19.2 horse-power. As already noted, an upright saw at 150 R.P.M. is given by Curtis as using 10 horse-power, while Rechard gives the same power for 175 R.P.M., and the Haswell test gave 27 horse-power-hour, 1854, for a saw doing much more work. D. C. Gibbs, a millwright, 1868, gave a product of 4000 to 5000 feet per day for 21 horse-power (Reynolds). Moore, 1880, p. 88, makes a modern saw mill, using 36 horse-power, do the work of 150 men in saw pits, handling 75 whip saws. Craik, 1870, p. 241, complained of insufficient power in saw mills and urged ample wheel power. Moore, 1880, p. 92, speaking of a saw mill, said " Give it plenty of power, if you don't, you might as well shut up shop at once." The Adams Mill, near Rockland, Del., built in Colonial 60 WATER RIGHTS DETERMINATION days, has a steel overshot wheel of 22 horse-power for its up-and-down saw. It took the full power to slowly saw an 18-inch oak log (Whitham, 1914). The Peters' Mill, Bushkill, Pa., 1870, had an up-and- down saw, 24-inch stroke, driven by a flutter wheel 2 feet diameter by 8 feet long, with a head of 12 feet, and speed of 180 R.P.M. The carriage was driven by a 3-foot flutter wheel, 2-foot face, turning on an upright shaft. The prod- uct was only about 1000 feet B.M. per ten hours (Mill- wright C. D. Wallace). Wait, 1871, gives a 19.8 horse-power Champion tur- bine to drive a saw, and stated that a similar wheel of 17 horse-power drove Lyttle's saw. In the trial of the Carthage Tissue Paper Mills vs. Village of Carthage et al. in the Supreme Court of Jefferson Co., N. Y., a grant of 1830 called for "... a sufficient quantity of water to carry saw for a saw mill, or 3 pairs of grinding stones." The Decree placed this grant at 800 inches of water. The head is 9 feet. On page 37, it has been shown that this grant amounts to 136.2 gross horse- power. Calling the wheel efficiencies 20 per cent in 1830, the net horse-power determined was 27.2 horse-power. In the same action was a grant of 1853, or " Right to carry a common double saw mill having 2 gates, 2 flutter wheels, 2 spur wheels, 1 bull wheel." The " two gates " mean two (English) gate saws, i.e., two up-and-down saws each set in a sash or gate frame, as distinguishes from the mulley saws. The flutter wheels drove the saws, the spur wheels operated the log carriages, and the single bull wheel supplied logs from the mill pond for the two saws. The court found and decreed 1400 inches of water as SAW MILL WATER GRANTS 61 representing this grant. The head was 9 feet. The decree calls for 233.3 cubic feet per second, or 238.6 gross horse- power. Such wheels would have an average efficiency of about 20 per cent, so that the saw mill used for its two saws 47.7 horse-power, or about 24 horse-power per saw. It is unnecessary to consider the 5 horse-power per saw given by Hughes, 1851, p. 55, Pallett, 1866, p. 227, and Leonard, 1848, pp. 147-8. Leonard allows 1 horse-power more for the up-and-down than for a circular saw of unknown diameter and speed. These men are answered by examples and records of such saws in use to-day. An up-and-down saw, properly supplied with water, used from 20 to 25 horse-power, including the driving of the log carriage and the log pulling. As constructed the primitive wheels were wasteful in water, so that the amount used would produce much more power with modern wheels. Although few water grants for saw mills alluded to the use of water to operate a gang saw or a circular saw, and although the power such saws take is so largely dependent upon the diameter and speed of the circular saw, or the number of blades in a gang saw mill, as well as upon the character of the wood handled, yet it may be well to briefly summarize the old literature upon these two kinds of saw mills. Circular saws were introduced into England, from Holland, by General Bentham, and were in use at the Ports- mouth dock yard in 1826 (Nicholson, 1826, p. 444; Jamison, 1836, p. 913). Their use began in this country before 1848 (Leonard, p. 147), and quickly became general. The use of gang saws preceded circular saws in America, and were mentioned in a water grant of 1824 at Baldwinsville, N. Y. 62 WATER RIGHTS DETERMINATION Gangs had been used on the Danube as early as 1575. Benj. Cummins, of Bentonsville, N. Y., made the first circular saw in the United States in about 1814, but their use grew out of the 1820 patent to Eastman and Jaquit, of Brunswick, Me. The endless band saw, invented by Wm. Newberry, London, Eng., in 1808, came into extensive use in about 1870 (Disston). Craik, 1870, p. 234, said that a gang saw, with 2 or 3 dozen saw blades, usually took twice the power of a single up-and-down gate saw, and that a large circular saw used twice as much power as the gang saw. He meant that these saws, not only took the extra power, but, also, cut more wood in proportion. The gang saws consisted of a number of small blades, all individually set in a common gate, or sash, so as to com- pletely cut the log at one time, rather than a board at a time. They were known as a " live," a " stock," and a " Yankee " gang mill (Craik, pp. 223-228). Gang mills made the smoothest and best lumber, commanding the high- est prices. Craik, on pp. 141-143 described several gang mills in northern New York. Barnes' saw mill at Pine Lake, N. Y., 1882, had a 36-inch Lesner turbine, 11-foot head, 31 horse-power, driving a gang with 30 saw blades, to cut 1000 feet B.M. of 1-inch boards per hour, spruce and hemlock, or to saw 32 feet with 1 horse-power. A gang mill making 120 strokes per minute, stroke of 20 inches, uses 1 horse-power for 45 feet of dry pine, or 34 of dry hard wood, oak, etc. (Haswell, 1878, p. 557; Moore, 1880, p. 93). Turbines of 105 horse-power capacity drove Roads' SAW MILL WATER GRANTS 63 double gang saw mill at Eau Galle, Wis., or 52.5 horse-power per gang (Leffel, 1877). The literature upon circular saws may be summarized as follows: The perimetral speed of circular saws is given as 7000 feet per minute by Craik, 1870, p. 241, and from 6000 to 7000 feet by Moore, 1880, pp. 90-93. Moore lists saws up to 76 inches diameter. Leffel's " Wheel Book," of 1877, gives a list of 69 mills, each with an undefined circular saw, the turbines for which averaged 32.6 horse-power per saw. It also gives turbine capacities of 20 horse-power for a 30-inch saw; 22.7 horse- power for a 40-inch; 23.2 for a 48-inch; 26.5 for a 50-inch; 40.3 for a 54-inch; 58.9 for a 60-inch; and 52.8 for a 72- inch circular saw. Victor wheel capacities averaging 34.5 horse-power were given for 18 mills, in 1885, per circular saw. Craik, 1870, pp. 242-3 gives for soft wood lumber pro- duced in twelve hours: 2,500 ft. B.M. by expending 12 h.p., 40 in. saw. 4,000 6 to 7,000 8 to 9,000 9 to 11,000 12 to 18,000 Carley's " Wheel Book " gives the production of cir- cular saws in twelve hours as 52-inch saw, 2 to 5000 feet B.M. ; 56-inch, 8 to 10,000 feet; and 60-inch saw from 10 to 15,000 feet depending upon the kind of wood. The Curtis " Wheel Book " of 1881 gives 15 to 20 horse- 15 48 20 54 25 60 30 72 40 Largest made, 64 WATER RIGHTS DETERMINATION power for sawing 3 to 5000 feet of pine or hemlock in ten hours ; and 35 horse-power for 1000 feet per hour of the same, the latter with a 48-inch saw. Bartley's " Wheel Book " gives productions in ten hours of 4 to 6000 feet B.M. with 15 horse-power; 6 to 10,000 feet with 15 to 20 horse-power; 8 to 15,000 feet for 20 to 30 horse-power; and 12 to 20,000 feet with 20 to 40 horse- power, depending upon the kind of wood. A mill in Utah sawed 5000 to 6000 feet in twelve hours with a 52-inch saw, using a 20 horse-power engine (Leffel, 1883, p. 20). The table on p. 65 of the products of circular saw mills has been compiled from various Wheel Books. SHINGLE MILL Gannett's mill, at North Fairfield, Me., 1881, had a production of from 20 to 24,000 shingles daily, using a Curtis turbine of from 20 to 30 horse-power. Whitmore, Washington, Me., 1881, had a Curtis turbine, of the same power as Gannett, driving a board saw, 1.5-inch cut; a cylinder stave mill, 0.75-inch cut; a cut-off saw; and a shingle machine. Osborn, Square Village, N. J., 1869, had a Reynolds wheel of 18.5 horse-power capacity for driving a 42-inch circular saw and a small saw on pickets and shingles. Shank, at Shanksville, Fa., 1889, used an 11 horse-power Burnham turbine to drive two 24-inch and one 10-inch saw for shingles and laths. SAW MILL WATER GRANTS 65 Circular Saw Mill and Place. Q Saw In. Wheel. Product of Mill. 1882 79-h.p. Leffel 30 to 35,000 ft. day, also edger and slab cutter. From Trump's "Wheel Book " 27-h.p. Leffel " Power necessary to drive small coun- try mill." Iver's, Stevensville, Mont 24 44i-h.p. Leffel Also drove a shingle, cut-off and lath saw, and 20-in. planer. 1882 48 12-h.p. Rechard 3000 ft. oak lumber per day. Clearwaters, Rhinebeck, N. Y . . . 54 24-h.p. Alcott Sawed hardwood. Bigalow's, Newfoundland, N. J . . 54 34-h.p. Alcott Did not use all the water power. Blackburn's, War Eagle, Ark .... 1881 37-h.p. Victor 1000 ft. of 1 in. boards an hour. Spear's, W. Suffleld, Conn 1885 48 24-h.p. Victor 1885 54 65-h.p. Victor 1000 ft. in 35 min. Palmer's, Wagnersboro, Va 1885 52 93-h.p. Victor 4000 ft. hard wood lumber per hour. Perkins', Bakersfield, Va 1889 40-h.p. Eureka 8 to 1000 ft. in an hour. Hubbard's, Guilford, Conn 1888 54 31-h.p. Eureka Allen's, Westport, Mass 1858 25}-h.p. Warren 46-h.p. Warren Loughinghouse's, Boyds F'ry, N.C. 1856 60 1886 35-h.p. Bodine 28-h.p. Curtis 15,000 ft. daily. 1000 to 1300 ft.hr. Allen's, Rossie, N. Y 1885 54 Skerry's, S. Bangor, N. Y 1881 38-h.p. Curtis 10 to 12,000 ft. day. Branson's, Ogdensburg, N. Y. . . . 1881 54 10-h.p. Curtis 2000 ft.hr. saw at 600 R.P.M. saw feed 3 in. Hlndbind's, Montgomery Cr., Cal. 1889 81-h.p. Burnham Over 3500 ft. yellow pine per hour. Grimsley's, Ft. Gaines, Ga 1889 2-52 36-h.p. Burnham 10 to 12,000 ft. per day. Lewis', Mt. Airy, Md 1889 1889 50 16-h.p. Burnham 16$ h.p. Burnham 47}-h.p. Burnham 58-h.p. Burnham 35-h.p. Burnham Thary's, Shoals, W. Va 3 to 4000 ft. per day. 600 ft. maple per hr. Griggs', Holland, N. Y 1889 Hunt's, Mclndoes, Vt 1889 1889 50 Wimberly's, St. George, S. C 4 to 5000 ft. pine lumber per day. Knapp's, Knapp, Pa 1889 27^-h.p. Burnham 5 to 7000 ft. per day. Saw at 450 R.P.M. Prince's, Farmville, Va 1889 1889 46 52 18-h.p. Burnham 24-h.p. Burnham Swope's, Old Hundred, N. C, 6 to 7000 ft. yellow pine per day. Rand's, Goldsboro, N. Y 1889 50 17-h.p. Burhnam 500 ft. boards per hr. 66 WATER RIGHTS DETERMINATION BARK MILLS AND TANNERD2S Many grants of water were made between 1800 and 1880 for the operation of " a bark mill " and for the use of " a tannery." A grant for a bark mill is comparatively definite as to the power the water granted was to produce. The grant for a tannery is necessarily vague and uncertain, since the water power used will depend upon the number and kind of hides treated per day, and whether sole leather, uppers, cow hide, sheep and calf skins, etc., are tanned. In any event, as with all grants for a specific use, the state of the art as to water wheel construction and efficiency, must be considered for the particular time and place. If any one is available to give the history and use made of the water power upon the premises, then a definite measurement of the grant is possible. Otherwise, the state of the art as to the particular industry and probable wheel installation must be studied and used to assist in forming a conclusion. A bark mill alone might be used in the preparation of extracts, which would be sold as such. Again, a tannery might buy its extracts and not have a bark mill. But it is generally understood that, except in large modern city tanneries, a " tannery " includes a bark mill and machinery for treating and finishing the hides. A bark mill has been described as almost identical in construction with a " Corn Cracker," used for crushing corn-on-the-cob. It differs, only, in that just above the revolving cone are ear-like cast-iron lugs which strike the bark and break it into pieces suitable for grinding in the mill. The Author tested two such bark mills in 1913 at the BARK MILLS AND TANNERIES 67 Cover Tanneries, in Elkton, W. Va. The two grinders used 24.7 horse-power; their drag conveyors 2.2 horse- power; and the friction of the engine and its driven jack shaft was 12.1 horse-power; making a total of 39 horse- power, or 19.5 horse-power per bark mill. The power was measured at five-minute intervals for one-half day, and the results here given are averages (See p. 69 for details of this tannery). Gregory's "Mechanics," London, 1806, Vol. II, pp. 103-6, described a primitive bark mill and tannery in England. Morfit, 1852, p. 132, states that " When (a bark mill) is worked to its utmost capacity, it will grind from 1 to 2 cords of bark per hour, and must be driven at the rate of 150 R.P.M. by a 10 horse-power engine." This relates to the Wiltse mill, as made at Catskill, N. Y. Rechard, 1887, pp. 100-2, gives an illustration of a bark mill, speed 60 to 80 R.P.M., and requiring 8 horse-power to grind a cord of bark per hour. On the Indian river, 1| miles above Theresa, N. Y., was a tannery with the right to use 400 inches of water (Deed of Henry to Wm. N. Seeber, Dec. 5, 1848, Recorded in Book 89, p. 162 of Records of Jefferson Co.). The head at this place is 10 feet. The grant, accordingly, calls for 70 cubic feet of water per second, corresponding to 79.5 gross or theoretic horse-power. With breast wheels of 50 per cent efficiency the net power is about 40 horse-power. In the 1911 trial of the Carthage (N. Y.) Machine Works vs. Island Paper Co. one issue was the water power used by a tannery handling 100 hides of sole leather per day (1840 to 1860), and having a bark mill grinding 9 to 12 cords or tons of bark per twelve hours; a double kicker or hide mill 68 WATER RIGHTS DETERMINATION or fulling machine; a cage scrubber or scourer for the hides; a liquor pump, under about 7-foot head; a leather roller for dressing tanned hides; and a small drinking water pump. The wheels used were undershot and flat-vaned wooden central discharge, under a 6-foot effective head, although the property head was 11 feet. Old operatives testified to these facts and gave dimensions as to the sizes of the wheels. Experienced tanners and engineers gave evidence as to the power required, dividing it as follows : Item. Hiteman Bros., of W. Win- field, N. Y. H.p. Babcock & Whitbam, of TJtica & Phila. H.p. Fosser of Newberry, Pa. H.p. Randolph of Camden, N. J. H.p. Thomas, of Little Falls, N. Y. H.p. Bark Mill 25 -35 5 4-6 5-6 6 *- 1 10 15 5 3 5 4 1 10 15-20 10 -20 2- 3 4- 5 5- 6 1 Included 10 5 4 5 5 1 10 10 Scrubber Leather roller 6 4 6 2 i 10 Friction of drives Total h.p 55J-69 43 37-55 40 38i The last three men were not called, but made the power estimates given. The Hubbard tannery, at Oswego, N. Y., is described in the Oswego " Directory and Compendium of Useful Information," 1852, as occupying a building 200 by 45 feet, with three wings, each 75 by 50 feet. It had 159 vats, tanned 40,000 hides in 1851, and had a yearly capacity of 50,000. It employed 25 hands. The Hubbard tannery had leases, from the Hydraulic BARK MILLS AND TANNERIES 69 Canal Co., of water power defined in terms of runs of stones. It had undetermined leases for 2.5 runs, and a lease for one-half run which was defined and produced 8.33 gross horse-power. On the opposite side of the river a lease has been adjudicated as water equivalent to 37.75 gross horse-power per run, so that, on this basis, the tannery leases aggregated (2.5x37.75+8.33=) 102.7 gross horse- power, or about 60 net horse-power with 60 per cent wheels. The Mosser bark mill and tannery, Newberry, Pa., had in 1911, a daily capacity of 450 sole-leather hides. Its steam power was measured to be a trifle over 200 horse-power or 44 horse-power per 100 hides per day (Whitham's test). The Cover tannery, at Elkton, W. Va., 1913, had the 2 bark grinders, described (on p. 67) as using 39 horse-power. It also had 4 leather rollers, one unhairing machine, a lime mixer, an oiling wheel or drum, 4 vat rockers and two 4-inch rotary liquor pumps, using 18.4 horse-power. Two fans used 10.6 horse-power and sundry pumps 15 horse-power. The total measured power was 83 horse-power. This Cover tannery handled 110 soleleather hides daily, or 220 sides, using 75.5 horse-power per 100 hides per day (Whit- ham's test). The Jannery tannery in Philadelphia has no bark mill and leachers. On a twenty-hour test in 1913 it treated 225 sole leather hides (450 sides) using 146 engine horse-power, or 65 horse-power per 100 hides per day. (Whitham's test.) In the Carthage Tissue Mill case, it developed that the grant of 1866 of water for a 5-run " common, country, grist mill," decreed as 1100 inches of water (p. 37), was used for 70 WATER RIGHTS DETERMINATION eighteen years as a tannery having four central-discbarge flat-vaned wooden wheels, operating, respectively, the bark mill, the hide mill, the leather roller and the pumps. The head was 9 feet, calling for 183.5 cubic feet per second, or 187.5 gross horse-power. Placing the wheel efficiency 40 per cent for such wheels, the net power was 75 horse- power. Hiteman Bros., at W. Winfield, N. Y., handle 1800 hides daily on calf skin uppers, and use from 125 to 150 horse-power (1911). A small sumac extract mill requires 15 horse-power according to Rechard (1887, 100). AXE FACTORY WATER USES, OR MACHINE SHOP WATER GRANT OF 1833 The 1833 grant at Carthage, N. Y., was for " sufficient water to carry a machine shop." The size of the building was given in the grant as 34 by 44 feet with 3 stories and a basement. The water power was used for an axe factory, with a machine shop on the second floor, which, though burned in 1836, was immediately rebuilt and operated down to about 1860. The only evidence before the court was given by Guyot, born 1826, as follows: Inches of Water. Bellows was driven by a high breast wheel 10 feet diameter by 3.5 feet wide used " pretty con- stantly " to blow the fires to make axes, and using about 150 AXE FACTORY WATER USES 71 Inches of Water. Drop or tilt hammer was driven by an undershot wheel about 6 feet diameter, operating about one-third of the time, two or three minutes at a time, and using about 150 Grindstone, to grind and polish the axes, was driven by an 8-foot undershot, about 8 feet wide, with gate opening 8 inches by 8 feet and used " pretty steady " 768 Machine shop on the second floor was operated by an 8-foot tub wheel with throat of spout at the wheel of size 14 by 20 inches 280 Up to 1848 the 4 wheels used about 1348 In 1848 the grindstone was replaced by a 600-pound forge hammer driven by a new undershot wheel with a gate taking 10 inches by 8 feet of water, or about 960 inches, rather than 768 as before. From 1848 to about 1860 the plant took about 1540 inches of water. The head is the same now as formerly, or about 9 feet. The court decreed that this right called for 1500 inches of water, which measures the power to " carry a machine shop." It, also, measured the power to carry an axe factory, as developed at the time and place. The water called for by the decree, with 9-foot head, is 250 cubic feet second; and corresponds to 255.7 gross horse- power. Calling the average efficiency of these small wheels 30 per cent, the power was 77 horse-power. A large part of this power must have been absorbed by .72 WATER RIGHTS DETERMINATION the friction of transmission, as was the case in all of the early and primitive developments. The Lyman lease, of 1826, on the Hydraulic Canal, at Oswego, N. Y., was for water to " turn and keep in operation such necessary machinery as the said (Lyman) may . . . use for the purpose of working metals and making machinery of the same . . . provided that the water so to be taken and used . . . shall not exceed the quantity which shall be necessary to keep in operation a common saw mill con- structed upon the most approved plan with one saw." This Lyman lease has never been adjudicated and fixed. It was a machine shop lease. It has all along been considered the same as a run of stones and its accompanying machin- ery, by the water takers on the canal. The head on the property was 17.14 feet in 1908. On the other side of the river a run of stones has been decreed to be enough to make 30.25 net horse-power with an 80 per cent efficient turbine (P- 26). The Author has measured the power in at least twenty small machine shops, attached to industrial plants, con- sisting of a post drill press, grindstone, a planer, and a couple of metal lathes, and found that 15 horse-power is ample. But where a shop is opened for general repair or construc- tion work, the power required is seldom less than from 25 to 30 horse-power unless it is little more than a one-man shop. WATER RIGHTS FOR IRON WORKS 73 WATER RIGHTS FOR BLAST FURNACE-BELLOWS- BLOWERS IN IRON WORKS As indicating, somewhat, the extent of water power requued to operate an early Blast Furnace, the following summary of the literature upon them is here given. Haswell (1844 edition, p. 261) gives data regarding the blowing engine for an iron furnace at Lanakoning, Md., as follows : The furnace had boshes 14 feet diameter, which fell in or narrowed 6.33 inches to every foot rise. The blowing engine had a steam cylinder 18 by 96 inches. The air com- pressor had a cylinder 60 by 96 inches. The speed was 12 R.P.M. The steam pressure was 50 pounds. The air-blast pressure was from 2 to 2.5 pounds for a quantity of 3770 cubic feet minute. There were five boilers, each 3 by 24 feet. The air required to produce 10 tons of pig iron and burn 50 tons of coal was 100 tons. The ore yielded 33 per cent of iron. The power required to operate the blast was about 50 horse-power. Haswell (1860 edition, p. 300) gives the following data for the operation of a blast furnace at Mount Savage, Md. : There were four furnaces, each 14 feet diameter, and each producing 100 tons of pig iron per week. A condensing engine, with 56-inch by 10-foot cylinder, at 15 R.P.M., was supplied with steam at 60 pounds pressure, and operated at 25 per cent cut-off. The steam was supplied by six boilers, each 5 by 24 feet, with a 22-inch flue in each, double returned. The grates were 198 square feet. The blast cylinder, driven by the steam engine, was 126 inches diam- eter by 10-foot stroke, at 15 R.P.M. The blast pressure 74 WATER RIGHTS DETERMINATION was from 4 to 5 pounds per square inch. The blast pipe sectional area was 20 per cent of the blast cylinder piston's area. The engine power made is computed to be about 200 horse-power per furnace. Haswell (Ibid.) gives an example of a blowing engine for " two furnaces and two fineries," making 240 tons of " forge " pig iron per week. A non-condensing engine of 20 by 96-inch cylinder, at 28 R.P.M., operated with steam of from 50 to 60 pounds pressure. The steam followed full stroke in the cylinder. It drove two blowing engines, each with cylinder 62 by 96 inches at 22 R.P.M., pro- viding a blast of 2.5 pounds per square inch. One blast furnace had two 3-inch and one 3.25-inch tuyeres; the other had three 3-inch. One " finery " had 6 tuyeres 1.125 inches and the other four of 1.125 inches. The ore yielded from 40 to 45 per cent of iron. The blast temperature was 600° F. The engine power developed is computed to be 210 horse-power, or 55 horse-power per furnace. In the case of the Carthage Tissue Paper Mills vs. The Village of Carthage (N. Y.) et al., the water rights of the Blast Furnace property were decreed to be 1400 inches of water. The head was 9 feet. The furnace was built in 1819 and operated until 1875 or 1876. It had a 25 by 6-foot undershot wheel for the bellows or blast, and " S " wheel for operating the ore crusher, and a 14 by 5-foot undershot wheel for cinder stamping. The decree calls for 233.33 cubic feet of water, which would give about 239 gross, or 72 net horse-power, the wheel efficiencies being taken at 30 per cent. Haswell (1854 Edition, p. 179) gives a 24 by 6-foot overshot wheel, with seventy 14-inch deep buckets, and a WATER RIGHTS FOR IRON WORKS 75 stream 0.75 by 51 inches under a 6.5-foot head, the wheel making 4.25 R.P.M. to drive two 60 by 61-inch blowing cylinders in Peter Townsend's furnace, at Monroe, N. J., to produce 34 tons of No. 1 iron per week. The data given calls for about 11 net horse-power. Bennett's "D'Aubuisson," 1838, pp. 344-5, gives an under- shot wheel 20.34 by 13.45 feet, at 7 R.P.M., with 40 buckets each 2.3 feet broad, supplied by a stream of water 8.89 square feet at a velocity of 16 feet second, or 141.3 cubic feet second to supply 26.49 cubic feet of air per second for a blast furnace. This is equivalent to about 12 horse-power to operate the blast. In the trial of the Carthage Tissue case, it was shown that a breast wheel used 150 inches of water to operate a blast for heating axes in an axe factory. This corresponds to about 25 cubic feet of water per second, or to 9.5 net horse-power with 40 per cent wheel efficiency. Leonard, 1848, p. 150, gives 6 horse-power per ton of No. 1 iron per day, and on pp. 143, 144, he gives a table of sizes of overshot and breast wheels to be used. In about 1770 the Long Pond Forge was established at the present site of Hewitt, N. J., and received its water from the outlet of Greenwood lake. Prior to 1835 Ryerson, who then owned the forge property, constructed a crude stone dam across the lake outlet in order to store water for use by his forge and saw mill during the dry season. It also provided better power for the small furnace of 1812, which he was then operating in conjunction with the forge and saw mill. On March 7, 1837, Ryerson deeded to the Morris Canal and Others property with the following reservation: " Ex- 76 WATER RIGHTS DETERMINATION cepting, also, and the said Jacob M. Ryerson hereby expressly reserves to and for himself, his heirs and assigns forever, the right to draw and having, at all times, from said reser- voir (Greenwood Lake) through the gates of said new dam (at outlet of said Lake) so much water as will with the natural flow of the intermediate streams be sufficient for all the neces- sary purposes of a forge with two fires and a saw mill with one saw at the site of his present Long Pond forge and saw mill." This property for many years operated two blast fur- naces under this water grant supplied with power by two overshot water wheels as follows: The lower wheel was 25 feet diameter by 6 feet 10.5 inches effective width. It had 82 elbow buckets, 15 inches deep. The sluice gate was 6 feet wide with an 8-inch lift. The head on the center of the sluice opening was 39 inches. The upper wheel was 24 feet 10 inches diameter by 6 feet 11.5 inches effective width. It had 76 elbow buckets, 13.5 inches deep. Its sluice gate opening was 6.25 inches by 6 feet, with 39-inch head. The wheels had a capacity for 48 and 36 cubic feet per second respectively, and, at 80 per cent efficiency, could produce 116 and 86 net horse-power, or a total of 202 horse-power (Whitham). IRON ROLLING MILLS Nystrom, 1865, p. 154, gives 80 horse-power to operate an iron rolling mill having 2 pairs of roughing and 2 pairs of finishing rolls, each at 70 R.P.M.; 6 puddling and 2 welding furnaces; and a production of 10 tons of bar iron WATER RIGHTS TO DRIVE A TRIP-HAMMER 77 in twenty-four hours. He gives 5 horse-power per square foot of plates rolled in a plate mill. Bennett's " D'Aubuisson," pp. 351-353, describes a 30- horse-power breast wheel and its design such as is suitable for a rolling mill of the "ordinary kind"; while some, operated at a greater velocity, use 50 horse-power. He proposed a breast wheel 24.28 feet diameter, with 48 floats 10.5 feet wide, turning at 6 R.P.M., with an available head of 8.2 feet; and using 50.7 cubic feet of water per second for 48 gross, or 30 net horse-power. Fairbairn, p. 540, describes a rolling mill and illustrates it in his Fig. 325. WATER RIGHTS TO DRIVE A TILT OR TRIP-HAMMER Rights have been made of water sufficient to operate a trip or tilt-hammer. The old literature is: Nicholson, 1826, p. 334, gives a hammer of 3.25 hundred- weight, 17-inch lift, 150 blows per minute; or one of 2 hundredweight, 14-inch lift, 225 blows; or one of 1.33 hundredweight, 12-inch lift, 300 blows per minute, as being operated by an 18-foot overshot wheel, at 6.25 R.P.M. Also, he gives a mill having a 2-hundredweight hammer operating at 350 blows per minute, and two 1.33 hundred- weight at 400 blows. Overman (1851, p. 261) illustrates a small trip hammer with 500 strokes per minute for a 2-inch lift, 400 for 3-inch, 300 for 6-inch, and 200 for 10-inch. Haswell (1878, p. 441), states that 17.5 cubic feet of water per second, falling 25 feet onto an undershot wheel, 78 WATER RIGHTS DETERMINATION drove a 1500-pound hammer, at from 100 to 120 blows per minute, the lift ranging from 12 to 15 inches. This is 16.7 net horse-power for a 33 per cent efficient wheel. Haswell, also, gave 21.5 cubic feet of water per second, 12.5-foot fall, 7.75-foot undershot wheel, 500-pound hammer at 100 blows per minute, 34-inch lift. - This is 10.5 net horse-power with a 33 per cent wheel efficiency. Bloxam's "Metals," 1876, p. 76, states that the ppwer to drive a trip hammer varies with the weight of the hammer, its lift, and the rapidity of the blows. For a small machine shop it is probably a 500-pound hammer making 60 blows per minute, and using 7 net horse-power. But in order to use the hammer, a forge is required and one too large for hand operation. From 12 to 15 horse-power would be required to operate this hammer and its power blast. In the Carthage Tissue Paper Mills case an undershot wheel was used to drive a 600-pound forge hammer. The wheel operated under 7-foot head, with a gate opening of 970 square inches. This corresponds to about 15 net horse- power. Beardmore's "Hydrology," 1850, p. 20, gives Rennie's tests of a water wheel producing 8.9 net horse-power driving a 7-hundredweight hammer, 106 blows per minute, 20-inch lift. Bennett's "D'Aubuisson," 1838, p. 400, gives the follow- ing table of trip hammer tests with water wheels. The first tests were made by Egen, and those at Agennois were by D'Aubuisson (see page 79): D'Aubuisson found that the quantity of water needed for a hammer increased nearly as the cube of the hammer's velocity. WATER RIGHTS FOR A NAIL FACTORY 79 Hammed. Wheel Diam., Ft. Fall, Ft. Cu.ft. Sec. Gross, H.p. Place. Weight, Lbs. Lift, Ft. Blows, Min. Westphalia WestphaUa Sweden 66 154 496 1323 705 705 0.59 1.54 2.88 2.13 2.29 313 224 103 85 110 90 8.82 7.48 7.74 6.72 6.86 9.18 16.27 14.04 12.40 11.15 11.81 11.74 10.806 22.249 21.542 15.185 15.892 15.892 20.1 35.5 31.5 19.5 21.6 21.5 Morin in 1836 conducted very complete overshot wheel tests, the power being used to drive a tilt hammer (Weis- bach, II, 193). Whitney deeded to Greenley and Williams land on which was erected a furnace in Binghamton, N. Y., in a building 40 by 56 feet, " ... land and building to be used exclu- sively for furnace and trip hammer, with the privilege of taking water from the pond . . . equal to 2.5 horse- power " (recorded Oct. 16, 1829, Book 12, p. 162, Clerk's Office of Broome County). WATER RIGHTS FOR A NAIL FACTORY Leonard's " Mechanical Principia," 1848, pp. 139, 140, gives a table of overshot and breast wheels to operate nail cutting machines, while on p. 150, he gives 9 horse-power to operate 6 machines, 10 for 7, 12 for 8, 13 for 9, and 15 horse-power for 10 machines. The Carthage (N. Y.) Tissue Paper Mills case decreed that the grant of 1833 of " ... a sufficient quantity of water to carry a pair of rollers to roll iron, and 15 machines to make nails " is 1000 inches of water. The head was 9 80 WATER RIGHTS DETERMINATION feet. An undershot wheel operated the rolls, and a tub wheel drove the nail cutters. The water decreed amounted to 166.67 cubic feet per second and gives 60 horse-power, when calling the average efficiency of the two kinds of wheels 35 per cent. It is evident that in any old nail factory power was used, not only to operate the nail cutters, but to prepare the stock for cutting. Accordingly, a grant of water to operate a nail factory of a certain number of cutters, must include the muck rolls for the treatment of the iron, after it has left the puddle furnace, and the iron rolls for shaping the heated muck bars. WATER RIGHTS OF CARDING AND FULLING MILLS Brown deeded to Solon Stone certain lands " together with the privilege of taking the water . . . sufficient to carry four carding machines and one fulling stock " at Dexter, N. Y. (recorded Nov. 21, 1831, Liber H2 of Deeds, p. 232, Office Clerk of Jefferson Co.). The extent of this right has never been adjudicated. The property operated a flutter wheel (for the fulling mill, down to the early 1880's) and a 6-foot scroll-cased, fiat-vaned, wooden, central- discharge water wheel (down to 1895 or 1898). The mill (1909) is in ruins. The head on the property is 13 feet. The effective head upon the two wheels was 12 feet. The central-discharge wheel had a throat of 2.28 square feet, and the flutter's throat was 3 square feet. Calling the coefficient of discharge 94 per cent for the central discharge and 81.25 per cent for the flutter wheel, they vented 60 and 78 cubic feet of water per second, respectively. With 40 per cent wheel efficiency for the central discharge and 20 WATER RIGHTS FOR CARDING MILLS 81 per cent for the flutter wheel, the net powers of the wheels were 32 and 21 horse-power, respectively, or 53 horse-power total. This is at the rate of about 13 horse-power of wheel installation per single carding mill. Brown leased from the Hydraulic Canal Co. in Oswego, N. Y., in 1827, sufficient water "... to turn and keep in operation such necessary machinery as " he should put in " . . . for the purpose of carding, spinning, and cloth dress- ing, provided " the amount used should not exceed that required " to turn one run of stones." This lease has never been adjudicated. As already noted, a run of stones has been determined on the canal upon the opposite bank of the river in Oswego to be sufficient to yield 30.25 net horse-power with wheels of 80 per cent efficiency. In the Carthage Tissue Paper Mills case, the axe-helve property was for a time operated to drive a carding mill (number of machines not stated) by means of a 7-foot central-discharge, scroll-cased, flat-vaned, wooden wheel under about 8-foot head. This corresponds to about 25 net horse-power, wheel capacity, using 40 per cent efficiency. Oliver Evans, 1795, Part V, p. 86, and Plate XII, also Craik, 1870, Fig. 42, give descriptions and illustrations of fulling mills. Bourne says, that " In fulling cloth at Beaucbamps, each piece being 220 yards long, 0.66 wide, and weighing 121 to 127 pounds, the fuller makes 100 to 120 strokes per minute* each piece requires two hours to full it, and the expenditure of 2 horse-power during that time" (Moore, 1880, p. 441). 82 WATER RIGHTS DETERMINATION WOOLEN MILLS An indefinite water grant, sufficient to operate a woolen mill, is definite to the extent that the mill must have at least one full set of machinery. Such mills are rated in sets, as a one set, two sets, etc., relating to sets of complete mechanisms for converting raw wool into a finished, woven fabric. The power used per set varies with the kind and weight of cloth made, and its finish. The Author made all-day tests at the following mills in Massachusetts and Rhode Island in 1895, to determine the power used. The variations in power per set are due to differences in sizes of mills and in the quality and character of the goods made. Most of these mills were from forty to sixty years old. Mill. Collier Newton Darling A. W. Darling Butler Darling & Thayer . . . Mann Bros Bottomly Smith Atlanta Aldrich Irving Kent ■Hopedale Curtis Olney Calumet Lippitt Evans and Seagrave . Hecla Riverdale Blackstone H.p. Used per Set. 35 30 30 18 22 20 27 13 26 26 25 22 33 28 17 22 27 17 22 17 17 WOOLEN MILLS 83 Ayres' 12-set blanket mill, Philadelphia, had an average day load of 201.6 horse-power on August 5, 1902, and 211 horse-power on January 28, 1918, or 16.8 and 17.6 horse- power per set, respectively. On the first test the loading was Picker department 38.2 h.p. Carding and spinning 61 . 1 h.p. Weaving and finishing 33 . 3 h.p. Friction of engine and shafting 69 . h.p. Total 201 . 6 h.p. This load did not include lighting or the dye house. The friction constituted 34.2 per cent of the total load (Whit- ham's tests). Glazier's 10-set mill at S. Glastonbury, Conn., produc- ing men and women's goods, hat and cap cloth, etc., has an average load of 225 horse-power or 25 horse-power per set (Whitham, test in 1918). Stott's four mills at Stottsville, N. Y., operated with one used for the finishing of the cloth made in the other three, were tested by the Author in 1904, the power measurements consuming two days at each plant. The mills had 44 sets of woolen machinery, or 12 sets at Mill 1, 15 sets at Mill 2, No. 3 Mill was used for dyeing, finishing, etc., and 17 sets at Mill 4. The Mills were located, Nos. 1 and 2 on the upper falls, No. 3 on the middle falls, and No. 4 at the lower. The Stott Mills used a total of 773 horse-power, or 17.6 horse-power per set. They manufactured light-weight woolen dress goods. Some of the machines in use were over sixty years old. 84 WATER RIGHTS DETERMINATION As illustrating the mechanisms, Mill No. 1 had for its 12 sets the following equipment (it being remembered that the scouring and washing and dyeing of the raw wool, and the finishing of the goods were done at Mill No. 3 nearby); a burring picker; a mixing picker; a duster; 3 grinders; twenty-six 40 by 40-inch D. & F. cards; ten 48 by 40-inch D. & F. cards; ten 260 spindles D. & F. spinning mules; three 240 spindles D. & F. spinning mules; twenty-six 42-inch Reynolds looms; twenty-eight 70-inch Crompton looms, Dobby heads; 6 spoolers, etc. The Allen Woolen Mills, near Rochester, had wheels of 75 horse-power capacity operating 4 sets of machinery in 1893 (Whitham). The Keystone spinning mills, Philadelphia, has 34 sets of carpet yarn spinning machinery, using 14.7 horse-power per set. It has no weaving nor dyeing department (Whitham). Leffel's "Wheel Book" of 1883, p. 123, mentions a turbine installation of 52 horse-power, said to operate a 6-set woolen mill with wheel gates half-opened. The mill must have had another source of power. Moore, 1880, p. 559, gives 30 horse-power as driving 19 wool combers having a total of 350 rollers; 16 mules with 3400 spindles; a winder with 60 rollers to prepare the warp; 2 warping machines; 2 self-acting feeders; 100 power looms at 115 R.P.M.; 2 lathes for iron and wood; and a pump. It produced 13,600 cops of woolen thread of 45 cops per pound, each measuring 32 yards. The looms make daily four pieces of double width merino of 68 yards each, and four pieces of sample merino of 1.2 to 1.4 yards broad, and each 88 yards long. WOOLEN MILLS 85 Wells, 1869, p. 155, states that the power used in woolen mills is "at the average rate of one set to 8 net horse- power." This can apply only to very large mills. Emerson, 1894, p. 100, gives 11.08 horse-power per set in Beebe, Weber & Co.'s 8-set woolen mill in Holyoke. He also, p. 154, gives 6.14 horse-power per set in the 22-set Woolen Mill at Vasselboro, Me., making light cassimeres; 7.5 horse-power per set in Walker's 4 set mill, Lowell, on flannels; 10 horse-power per set in Inman's 4-set mill on heavy doeskin, pants goods, at Pascoag, R. I. ; and 8 horse- power in Beebee, Webber & Co.'s 8-set mill in Holyoke on pants goods. Emerson measured simply the net power at the machines. Emerson, p. 156, gives a list of machinery in a 1-set woolen mill, while on pp. 155 et seq. he illustrates the various machines used. His list of machinery per set is, one wool and waste duster, which answers for 6 sets, as does the mixing picker; 3 cards per set, i.e., first and second breaker, and finisher; mules, 400 spindles per set; two spoolers; a dresser, reel and beamer for 6 sets; 5 broad and narrow looms per set; 2 fulling mills; a washer answers for 8 sets; a hydro-extractor is sufficient for 6 sets; 2 gigs; shears will provide for 4 sets; and a brusher answers for 6 sets as does also a press. Fairbairn, pp. 467 et seq., describes the process of manufacture in a woolen mill, and on p. 472 he gives the speeds of the machinery. Webber's test of 1871-1873 with a dynamometer gave net powers at the machines as follows, according to his "Manual for Power for Machines, Shafts, and Belts," pp. 50 et seq. : 86 WATER RIGHTS DETERMINATION Horse-power. Wool cards 1 .27-0.91 Woolen looms . 63-0 . 22 Fulling mill 2.54 Wool jacks . 66 Gigs 2-0.51 30-inch hydro-extractor 1 . 82 38-inch hydro-extractor 2 In tests from 1874 to 1879 Webber found, pp. 56 et seq., net powers at the woolen machines of : Horse-power, Cards 0.77-2.11 Spinning mule . 97-1 . 55 Hydro, 60 inches 4.26 Rinser for fulling, 16 inches 2 . 84 Pickers 5.7-8.8 Looms 1 horse-power for 2.58-5.4 16-inch double fulling mill 3 . 08 108-inch broad gig, 48 1 .52 Groat vs. Moat, 94 N. Y. 115, makes a 4-set woolen mill use 10 horse-power per set. Leffel's "Wheel Book" of 1877 mentions 9 woolen mills aggregating. 49 sets, having turbines averaging 10 horse-power per set. A. F. Ordway, mill engineer and millwright, Beaver Dam, Wis., found a 4-set woolen mill in Wisconsin to use 98.6 horse-power, as determined with an engine indicator and a transmission dynamometer, in 1897, or 24.6 horse-power per set. The indicator checked the dynamometer. The general operations or processes followed in a woolen mill are: 1. Sorting and washing. 2. Teasing and opening. COTTON MILLS 87 3. Carding, roving and spinning. 4. Warping, dressing and weaving. 5. Finishing, i.e., washing (over reels), fulling, washing (the reverse of fulling), gigging, passing over teasel cards, shearing and cutting (Fairbairn, p. 449). " Carding — A process in which the staples and fibres of material are thoroughly disentangled and subsequently- blended together so as to produce a film or sliver of material of a uniform character " ('' Wool Year Book," 1913, p. 504). " Fulling — An operation through which wool cloth is passed to increase it in thickness, density, and solidity, and also to improve it in handle " (Ibid., p. 517). COTTON MILLS Cotton mills are rated by number of spindles, rather than by sets of machines — as in the woolen trade. The process of manufacturing cotton fabric is outlined by the late Jas. J. Fearon, of Philadelphia, as follows : 1. Open the cotton bales and 2. Pick the cotton. 3. Finisher breaker picker prepares the cotton into laps. 4. Cards, in the railroad head make cotton into a rope form called sliver. 5. Drawing frames receive the sliver and draw cotton down to a sliver of smaller draught to meet the particular size of the yarn desired. This may require a second drawing. 6. Slubbing machine receives this product and draws it into a thread and puts it onto bobbins. 7. In the speeders two or more bobbins are consolidated into a new thread, wound onto cone-shaped or onto old flanged bobbins. 8. Spinning frame's creel (creel is a frame holding any 88 WATER RIGHTS DETERMINATION number of bobbins or spools) draws and spins to desired yarn size. 9. Winders, where the yarn is put onto spools. 10. Slasher, to be sized and starched. 11. Beamer, to be arranged into desired number of threads for weaving. 12. Looms. 13. Finishing — cleaned, brushed, calendered, rolled, measured and baled. Emerson, 1894, pp. 121 et seq., describes more fully the process of manufacture and gives illustrations. Gregory's " Mechanics," 1806, p. 411, describes a yarn mill, while Buchanan's 3d " Essay on Millwork," 1809, pp. 11, 15, 33, 34, discusses the early changes in the mechan- isms used. Webber's " Power for Machines, Shafts and Belts," 1891, pp. 124-229, gives a historical sketch of the cotton industry and development in the United States up to 1876. Cotton machinery was introduced into the United States in 1790, at Pawtucket, R. I., by Samuel Slater. Abbott, 1835, p. 106, states that " 1 horse-power is calculated, at a medium, to drive: 100 throstle spindles, with preparation, for cotton yarn twist: or 500 spindles, with preparation, for mule yarn, No. 48: or 1000 spindles, with preparation, for mule yarn, No. 110, and for intermediate yarn, in the same proportion; or 12 power looms, with preparation." (Note. Abbott evidently copied this table from Buchanan's " First Essay on Millwork," 1808, p. 131, or from Grier's " Mechanic's Calculator.") COTTON MILLS 89 Abbott then gives the so-called " Lowell (Mass.) Stand- ard," or " Twenty-four cubic feet of water per second, 30-foot fall, has been found sufficient to operate 4000 spindles, with all the preparatory machinery, for spinning cotton yarn, about No. 30, together with the looms necessary to weave the same. The spindles in use at that place (Lowell) are all of the sort called ' dead spindles,' requiring rather more power to oper- ate them than the common English throstle spindles alluded to in the above table. The difference in power required for the dead spindle is probably as 4000 to 4300 or 4400. Calling 4000 dead spindles equal to 4400 throstle spindles, the power required to operate them, together with the necessary pre- paratory machinery will be Equal to that of 44 horses 144 looms (12 looms to the horse) . 12 Horse-power 56 horses " Note. Twenty-four cubic feet second, 30-foot head = 81.82 gross horse-power and is known in the cotton districts in New England as about 65 net horse-power, and is com- monly termed a " mill power " (Whitham). Abbott, p. 107, proceeds to justify his rule as follows: 24 cu. ft. sec. = 1440 cu. ft. min. = 90,000 lbs. min. 90,000 X 30-f t. fall = 2,700,000 f t.-lbs. Deduct one-third for loss by friction and otherwise 900,000 Used 1,800,000 ft.-lbs. 90 WATER RIGHTS DETERMINATION 1,800,000-^32,000 (Boulton & Watt's standard, p. 104) = 56.25 h.p. Abbott states that at the Hamilton Mills, Lowell, the same quantity of machinery is operated by 60 cubic feet cf water per second on a 12-foot fall. He then gives : " The 56.25 horse-power required for the above mills would be sufficient to put in motion; " 56,000 mule spindles, with preparation, for spinning yarn as fine as No. 110, or " 10,000 mule spindles, for spinning yarn for warp and weft as fine as No. 48, together with " 400 looms to weave the same." " It is partly a consequence of the great expense of power to operate throstle spindles, that the throstle twist commands a higher relative price in Manchester than yarn of the same fineness spun upon mules." Leonard's " Mechanical Principia," N. Y., 1848, XIX, states that his power to operate cotton machinery was ob- tained,by comparing the water wheels of factories with the machinery equipment — and is an estimate, rather than a test or measurement. On pp. 19, 20, he states, that " Dead and ring spindles (cotton) frames turn off about 25 per cent more than the mule when spinning filling; as filling is about half of the whole production of the factory; the increased production when the filling is spun on the mule will be about 12 per cent, hence there will be about 12 per cent more attendant machinery for a given number of spindles, including looms; will require about two-thirds of the whole power; hence the increased power due by direct proportion is about 8 per cent; it will be safe to allow COTTON MILLS 91 7 per cent. The power required to spin a given amount of filling on a frame will exceed the power required to spin the same on the mule about 25 per cent; since the spinning requires one-third of the whole power, ..." Leonard, p. 21, states, " It will be noticed that this table is calculated for mules and frames; if the filling is spun on the ring or dead spindle frame, add about 12 per cent to the attendant machinery; if the filling and warp is spun on the Danforth frame add 40 per cent to the attendant machinery." Leonard, p. 64, discusses the cotton machinery which may be operated in a mill building, three stories high, containing spinning frames, looms, and attendant mechan- isms. His table gives the lengths of the building, per 1000 spindles as follows: 40 feet wide by 42 feet long; 42 feet wide by 40 feet long; 44 by 38 feet; 46 by 36; 48 by 34; 50 by 33; 52 by 32; 54 by 31 ; and 56 feet wide by 30 feet long. The average is 5 square feet of floor space per spindle. Example: A cotton mill 50 feet wide, 4 stories high, is to have 6000 spindles. What is its length by Leonard's table? For 3 stories, 50 feet wide, the length is 33 feet for 1000 spindles, or 198 feet for 6000. But the mill is 4 stories, rather than 3, high, hence the length is three-fourths of 198 or 148.5 feet, or say 150 feet. Cramer's "Useful Information for Cotton Manu- facturers," 1906, Vol. 3, p. 1169, gives a table showing the floor space in square feet per spindle as used in 92 WATER RIGHTS DETERMINATION seven modern cotton yarn and in forty modern cotton spinning and weaving mills built in various parts of the United States and making various classes of goods, from which it appears — Cotton yarn mills use 3.24 to 4 square feet per spindle with an average of 3.60 square feet. Cotton spinning and weaving mills used from 3.12 to 7.15 square feet per spindle with an average of 5.03 square feet, or the same as given by Leonard, in 1848. Leonard's table of power for cotton machinery, p. 66, may be abstracted as follows, the power relating to 1000 spindles, or multiples thereof in proportion: Yarn. Calculated H.p. Actual H.p. Frame Spindles: Nos. 10-20 19 14i 20-30 17 12| 3CM0 16 12 Mule and Frame Spindles: Nos. 10-20 17 121 20-30 15 HI 30-40 14 10J Mule Spindles: Nos. 10-20 16 12 20-30 14 10* 30-40 13 91 Example: The power to drive 6000 mule spindles on No. 36 yarn, including the driving of the looms is 6 X 13 =78 horse-power calculated, or 6x9.75=58.5 actual horse- power per Leonard's table. Leonard, p. 76, gives a table for the Attendant Cotton Machinery in plants of from 1000 to 10,000 spindles, from which is abstracted his figures for a 1000 mule and frame spindle equipment as follows: COTTON MILLS 93 Size of Yarn No. 5 to 10 10 to 20 20 to 30 1 1 1 1 1 1 12 8 8 2 2 1 2 2 1 64 12 10 64 50 40 1000 1000 1000 28 28 28 1 1 1 1 1 1 24 28 28 30 to 40 Willowers Pickers, 2 beaters Single, 30-inch cards . . . . R. R. Heads 3 head draw-frames .... Speeder spindles Fine spindles Mule and frame spindles Spooler spindles Warpers Dressers Looms 1 1 6 1 1 10 38 1000 28 1 1 25 The operatives required in a cotton mill are given by Leonard, p. 84, as follows: Yarn Number. Spindles. 5 10 15 20 25 30 35 40 1,000 36 35 33 30 30 39 27 26 2,000 72 69 66 63 60 57 54 52 3,000 108 103 99 94 90 85 81 78 4,000 144 138 132 126 120 114 108 104 5,000 180 172 165 157 150 142 135 130 6,000 216 207 198 189 180 171 162 156 7,000 252 241 231 220 210 199 189 182 8,000 288 276 264 252 240 228 216 208 9,000 324 310 297 283 270 256 243 234 10,000 360 345 330 315 300 285 270 260 Thus for 2000 spindles on goods of No. 20 yarn, 63 hands are required in the mill. On Jan. 1, 1849, the Glasgow Cotton Mills, at South Hadley, Mass., received a grant of water sufficient to oper- ate 10,000 cotton spindles making No. 14 yarn together with machinery to convert it into finished cloth. It was 94 WATER RIGHTS DETERMINATION the understanding that 25 cubic feet of water per second, used in a turbine under 30-foot head, would drive 3584 spindles on No. 14 yarn and the weaving machinery, accord- ing to the Lowell standard of 1849, and it is called a " mill power," or 65 net horse-power. Hence 1 horse-power drove 55 spindles on No. 14 yarn. The Oswego Cotton Mills in 1852 (per " Directory and Compendium ") had 2436 spindles, 71 looms, 60 opera- tives, and used 230,000 pounds of cotton and produced 625,000 yards of 36-inch sheeting in 1851. It had, per lease of 1835, " water sufficient to turn 4 runs of mill stones and the usual machinery connected therewith". . . ." This lease was not definite as to the quantity of water leased, and it has never been adjudicated. On the Varick canal, on the opposite back in Oswego, the courts decreed that a run is sufficient water to produce 30.25 net horse-power with wheels of 80 per cent efficiency. On that basis this mill had a horse-power of water for 20 spindles used on coarse sheetings. Haswell, 1854, p. 179, gives the Rocky Glen Cotton Mill, at Fishkill, N. Y., as having 6144 self-acting mule spindles; 160 looms on print goods, 27 inches wide, No. 33 yarn (33 hanks to pound) and producing 2400 hanks in eleven hours. The machinery was driven by a high breast wheel 24 feet 4 inches diameter by 20.75-foot face, with 70 buckets 15.75 inches deep, the total fall being 20 feet, divided into 4 feet for the head and 16 feet for the fall, and supplied by a gate giving an opening 20 by 2 feet. Wheel made 4.5 R.P.M. Such wheel produces about 180 net horse-power, which would give 1 horse-power to about 34 spindles. A con- COTTON MILLS 95 siderable part of the work done by this slow wheel was, no doubt, absorbed by the drive. According to Groat vs. Moak, 94 N. Y., 115, the cotton mill there described drove 33.6 spindles per horse-power. The mill was 98 by 48 feet, 5 stories, and its machinery consisted of 3360 spindles and 80 looms. The court fixed 100 horse-power as required to drive the mill. According to Leonard's rule the building was adapted to 4800 spindles. An old grant at Little Falls, N. Y., for the Whitman Cotton Mill, which had 4032 " spindles on No. 29 yarn " and the necessary machinery for converting cotton into cloth, was construed to require with the mill friction pro- portioned among the several machines: Horse-power. 1 bale opener 2 1 hopper feeder with opener and single. 4 1 two-beater finishers 5 1 thread extractor, hard ends \ 8 revolving flat cards, 50-inch cylinders 5| 1 set drawing frames, 27 deliveries .... 4 1 slubber frame, 66 spindles If 2 intermediate frames, 88 spindles each 2 18 ring spinning frames, 4032 spindles . . 49| 6 roving frames, 112 spindles each 7| 1 winder, 200 spindles 2 2 beaming frames or warpers 1 1 sizing machine or slasher 2 125 looms, on No. 29 fine yarn 37J Total, including shafting 124 96 WATER RIGHTS DETERMINATION The spindles on No. 29 yarn per horse-power are esti- mated at 32.5 for this Whitman mill (Whitham, Crosby). Baird's "American Cotton Spinner," 1860, p. 46, gives the same power table as has been noted on p. 101, for Abbott, Buchanan and Grier, with slight modifications, or 1 horse- power drives 100 throstle spindles on No. 25 yarn twist, including necessary preparation, or 250 mule spindles, with preparation, on No. 25 yarn filling, or 500 mule spindles with preparation on No. 60 yarn filling, and for intermediate numbers in preparation, or 12 power looms, with warping, sizing, etc. Wells, 1869, p. 155, allows from 30 to 100 spindles to the horse-power, or 60 as an average. C. T. Main, M.E., usually figures on 40 spindles to a horse-power (1899). Emerson, p. 120, allows 50 per horse- power as an average. Whitham found 37 per horse- power, as noted on page 100. Fairbairn's " Mills and Millwork " (written before 1860), p. 454, of 1878 Ed., gives a history of the changes in the cotton mills construction " during the past thirty years," and particularly in the arrangement of the machinery in the buildings. On p. 456, Fairbairn described a cotton mill for India, with engines of 600 indicated horse-power. On p. 464, he gives the speeds of the various machinery in this Indian mill. Lister's " Cotton Manufacture," 1914, explains in detail the difference between throstle, ring and mule spinning, and the meaning of sliver, slubbing, etc. Moore, 1880, p. 559, describes an English mill with COTTON MILLS 97 22,060 "hand-mule" spindles and 260 looms, using 125 engine horse-power or 1 horse-power to 176.5 spindles. He gives 1 horse-power to drive 305 hand-mule spindles, with preparation; or 230 self-acting spindles, with preparation; or 104 throstle spindles, with preparation; or 10.5 looms with common sizing. Including preparation, 1 throstle =3 hand-mule =2.25 self-acting spindles. Exclusive of preparation, 1 throstle =3.5 hand-mule =2.56 self-acting spindles. Average breadth of looms is 37 inches, making 123 picks per minute (Moore). Webber, pp. 12-48, gives dynamometer tests of the power used by and at cotton machines, covering a period from 1871 to 1873. His results do not include the friction of transmission due to shafting and belting. The tests are summarized in the table on page 98. Webber, p. 79, found that of the 609.31 net horse-power made in a heavy sheeting mill, with an average yarn of 12.75, 33 spindles were used to the horse-power, and the division of power was Picking and carding, 29.62 per cent; spinning, 48.02 per cent; dressing, 4.58 per cent; and weaving, 17.78 per cent. He added only 15 per cent to the net power for shafting friction of the mill. On p. 80, Webber gave data as to a mill on denims, ticks, etc., with an average of No. 11 yarn, and using 35.9 spindles per horse-power. On p. 81, Webber found that a mill on fancy pantaloonery, shirting, stripes, etc., with No. 16.5 average yarn, used a horse-power for 43.77 spindles. 98 WATER RIGHTS DETERMINATION Machine. H.p. Range per Machine. Range of Spindles per h.p. Cotton openers Cotton pickers Cotton openers and lappers. Cotton cards Railway heads for cards. . . . Cotton drawing frames Dead spindle roving frames. Roving frames Throstle dead spinning. Ring spinning Sawyer spindle, ring spinning . Rabbath spindle, ring spinning. Pearl spindle, ring spinning. . . . Birkhead spindle, ring spinning. . . Richardson spindle, ring spinning. Excelsior spindle, ring spinning. . . Perry spindle, dead, ring spinning . Pusey spindle, dead, ring spinning. Mule spinning Cotton looms Cotton spoolers . Cotton twisters . Cotton warpers . Cotton dressers . Slashers 12.5 -1.6 12.4 -3.0 16.1 -3.9 9.2 -1.9 2.5 -0.23 1.9 -0.47 1.9 -0.84 2.2 -0.65 3.0 -0.79 2.1 -0.59 2.8 -0.46 2.0 -0.78 2.7 -0.87 2.8 -0.77 3.4 -1.61 1.63-0.38 1.53-0.76 1.38-0 95 1.29-0.95 1.75-1.27 1.52-0.94 1.96-1.05 2.26-0.59 3.19-0.58 1.82-0.57 2.22-0.74 3.7 -1.26 0.53-0.17 2.3 -0.67 0.17-0.11 2.14-1.14 1.58-0.70 23 2S 25 45 50 64 83 54 60 78 116 114 134 107 105 106 88. 64. 78. 67. 153. 17-5.1 h.p. 3- 62.5 8- 68 3- 60.9 0-120. 0-276 0-164 0-147 0-167 0- S3 5-340 0-169 0-169 0-141 0-138 0-139 0-199 0-344 0-22S 5-226 0-156.2 0-382.5 looms to In another mill, p. S2, Webber found that No. 26 average yarn on fine sheetings used a horse-power to 70 spindles; while still another mill with 32 yarn, same goods, used a horse-power for 66.6 spindles. On fine shirtings and cambrics, No. 33 yarn, 66.3 spindles COTTON MILLS 99 were used per horse-power; Mill G on 33 yarn for corset jeans used 62.5 spindles per horse-power; Mill H on 31 yarn, print cloth, mule spinning, used 72 spindles per horse- power; Mill I, No. 32 yarn, print cloth, mule spinning, 76.7 spindles; and Mill K, 49 yarn, fine cambrics, used 75.6 spindles per horse-power. In all of these mill tests Webber ascertained the power used by each machine separately, took their aggregate, and added only 15 per cent for the mill friction. (This 15 per cent is entirely too small, Whitham.) In 1888, Emerson, p. 62, of 1894 Ed., found that 19.31 horse-power drove a knitting mill at Elkhart, Ind., having two 48-inch cards; 3 jacks, in all 720 spindles; 2 Parker twisters, 96 spindles each; 4 spoolers, dusters, dryer and fan; stocking dryer and fan ; kulp winders; hydro-extractor; and 60 knitting machines. On p. 120, Emerson gives 1 horse-power to 50 spindles as a " fair average estimate," and states that this rule also holds for silk mills. He gives from 35 to 50 spindles in a mill per loom used. Emerson, p. 128, found 10.61 net horse-power driving a ribbon and webbing mill having 73 tape looms, etc. Emerson, p. 129, found at the Nelson Cotton Mill, Winchendon, Mass., on denims, sheetings, and colored goods, that 4 pickers used 28.70 horse-power; 64 cards used 40.64 horse-power; 2 drawing frames used 31.61 horse-power; 180 looms used 18.52 horse-power; and the shafting (24.8 per cent of the total load) was 39.33 horse-power; total 158.80 horse-power. The mill had 7300 spindles, or 46 per horse-power. Emerson tested at Natick, R. I., in 1874 (p. 129), 10,364 100 WATER RIGHTS DETERMINATION mule spindles and other machinery for making print goods, using 263 horse-power or 39 spindles per horse-power. At Putnam, Conn., in a mill with 5632 frame and 6768 mule spindles, 200 horse-power drove the mill, or 1 horse- power drove 62 spindles (Emerson, p. 129). A Janesville, Wis., cotton mill operated 330 sheeting looms and preparation with a 539 horse-power New Ameri- can turbine. The Author has determined the power in the twenty- three cotton mills named in the following table at simdry times since 1896. The mills were on various fabrics and yarns. Mill. Place. Spindles. H.P. Used. Spindles per h.p. Millbury Cordis Millbury, Mass 12.842 6,800 16,000 13,000 35,864 15,680 50,000 43,436 16,000 42,160 14,000 24,500 17,357 95,000 32,832 41,920 46,954 19,136 42,640 119,000 52,000 181,618 99,656 275 257 325 325 1,000 250 1,500 1,250 365 1,200 380 700 450 2,100 800 S60 1,000 416 1,000 2,400 2,500 6,784 2,079 46.7 Millbury, Mass 26.4 Sutton Saunders Fisher Farmersville, Mass Rockdale, Mass 49.2 40.0 35.9 Farmersville . . . Whitin 62.6 33.3 Blackstone .... Ballou Globe Woonsocket, R. I Woonsocket, R. I Mannville, R. I 34.8 43.9 35.1 Eagle 36.9 Hamlet Mannville 35.0 38.5 43.3 Albion, R. I 41.0 Ashton, R. I 48.7 No. 4 Lonsdale, R. I 47.0 No. 1 Lonsdale, R. I 46.0 Albion Hamilton (1).. . Valley Falls, R. I Lowell, Mass 42.6 49.6 Appleton (2) . . . Lowell, Mass 20 8 Tremont Suf- folk (3) Lowell, Mass 26 8 47 9 Total and a 1,038,395 28,216 36.7 (1) Prints; (2) naps and cotton flannels; (3) various. COTTON MILLS It is to be observed that textile machinery of all kinds is now operated at speeds thought to be impossible forty years ago. The first important speeding was in 1870- 1880, while greater speeds are used to-day than in 1890. Increased speeds mean more power expenditure per spindle. In 1849, the Glasgow Mill at S. Hadley Falls, Mass. (see p. 93) was allowed 55 spindles per horse-power on No. 14 yarn, while Webber found only 42 spindles to the horse- power on this yarn in his tests of 1870-1880, showing the change in thirty years due to speeding the machines. Howard and Bullough, Whitin Machine Works, and other manufacturers of cotton machinery publish tables showing the net power claimed to be required to operate the various machines in mills of to-day. Such tables are useful in proportioning the mill provided a good margin is allowed in the power plant installation. " The friction load of the shafting, belting, etc., is not to be lost sight of in making power calculations and varies from 15 per cent, to 25 per cent, in modern mills, even 35 to 40 per cent, being by no means unheard of in old mills " (Cramer's " Useful Information for Cotton Manufacturers," Vol. 3, p. 1158). " It is not out of place to call attention at this point to a phase in the general subject of power required to drive. . . . I refer to the well-known fact of the increased power required at times to start up machinery when it is cold, this being particularly noticeable on Monday mornings." " Nor is it necessary to more than call attention to the simple fact that the power required to drive machinery de- pends upon its cleanliness, its being set level or plumb — its alignment. Tables ... are on a basis of machines being 102 WATER RIGHTS DETERMINATION properly set, oiled, cleaned, and otherwise cared for " (Ibid., p. 1161). PLASTER MILLS In 1852, Ames operated a mill in Oswego, N. Y., pro- ducing 20,000 barrels of " water lime " per year and 20,000 barrels of plaster. He employed 15 hands. In 1870, Williams, at Ithaca, N. Y., used a 45 horse-power Leffel wheel to drive a stone cracker in a plaster mill and a run of 57-inch stones, and accompanying machinery, for grinding the cracked stone into plaster. The product was 1 ton per hour. He stated that the wheel operated at half gate. Dewey and Stewart, Owosso, Mich., 1864, had a 38 horse-power Reynolds turbine, which they claimed would grind 3 tons of plaster per hour. PAPER MILLS Wm. Rittinghuysen (now Rittenhouse), of Holland, built the first paper mill in America at Roxborough, near Philadelphia, on paper mill run, in 1690, using linen rags and flax products as a stock. The first mill in New England was at Milton, Mass., 1730. In 1750, " beaters " were invented, in Holland, to " commingle rags into paper pulp." In 1751, experiments were made for producing paper from " suitable vegetables — as a substitute for rags." In 1756, straw was used as a substitute for rags. In 1774, chlorine gas was used for bleaching the paper stock, in place of ex- posure to sunlight. In 1798, Robert of France invented PAPER MILLS 103 " a way to make, with one man and without fire, by means of machines, sheets of paper of very large size, even 12 feet wide and 50 feet long," and a patent was granted in 1800. This was the beginning of paper making " in the web on endless wire cloth." Two Englishmen, Henry and Sealy Fourdrinier, aided by the engineering skill of Bryan Donkin, "built and set up the first 'Fourdrinier' machine at Frog- more in 1803, consisting of what is known as the ' wet end ' of a machine." In 1801 Koop discovered a method of extract- ing ink from old papers and using them for new paper stock. In 1809, Dickinson, of England, invented the "cylin- der machine " which competed with the Fourdrinier " Instead of a traveling wire cloth," Dickinson " conceived the plan of a polished, hollow brass cylinder, perforated with holes and covered with wire cloth, which revolved over and just in contact with the prepared pulp, sucking up the water by rarefaction and leaving the filaments sufficiently strong to be carried by the usual process to completion." In about 1820, the first paper machine was introduced into America, probably at Gilpin's mill on the Brandywine. In 1821, Crompton, of England, patented cylinders for drying and finishing the paper, and shears to cut the paper into sheets. Causon, of France, applied the suction box of Dickinson to the Fourdrinier machine in 1826. Crompton and Miller patented the slitter in 1826. Ibotson, of England, intro- duced screens to separate " knots from paper stuff " in 1830. The dandy roll was invented by Wilks in 1830 " to facilitate the escape of water from the pulp-web, previously to its being subjected to the pressing rolls." In 1830, Dickinson patented " a mode of making paper in two layers or strata which were brought together on a second cylinder " 104 WATER RIGHTS DETERMINATION thus making cardboard. In 1820, Gilpin patented calenders to finish the paper's surface (Hardy's " Landmarks in Paper Making"). Nicholson's " Operative Mechanic and Machinist," 1826, p. 366, speaks of the cylinder in the " washer " and also in the " beater," turning at 120 to 150 R.P.M. He states that the Fourdrinier machine had already replaced the hand sieve in forming the sheet. On p. 369 Nicholson says, " The quantity of water which a paper mill can com- mand to turn its engines, generally limits the extent of its trade." Oliver Evans, 1795, Part I, p. 121, gives, " The engine of a paper mill, roll 2 feet diameter, 2 feet long, revolving 160 times in a minute, requires power equal to a 4-foot stone grinding 5 bushels (of wheat) per hour." Evans probably referred to a beating engine with a 2-foot roll, 2 feet long, cutting rag stock, and using 12 to 15 horse-power. Gregory's " Mechanics," 1806, II, 190, gives a paper mill using 1 ton of old rope per week, expending 300 pounds at 390 feet per minute, or 3.54 horse-power, the mill opera- ting from ten to twelve hours per day. He gives the equiv- alent of 4.77 horse-power when 2 tons of rope stock are used. This power is a theoretic deduction by Prof. Gregory, and evidently relates to the work in the beater. Emerson, 1894, p. 62, gives 67.11 as the power used in 1888 at Elkhart, Ind., by 4 beaters, washers, Jordan, pumps, paper machine, rag cutter and duster, the product being 1 ton per day of tissue paper at the Globe mill. On p. 171, Emerson gave 55.36 horse-power as the maximum power required to operate four beaters in a 4-ton mill on manilla papers, using jute stock. PAPER MILLS 105 On p. 177, Emerson gave 258 net horse-power as used at No. 1 Whiting mill, at Hoiyoke, for the production of 4 tons per day of fine writing paper, or 65 horse-power per ton. On pp. 177-178, Emerson gives the following for the Housatonic mill of Smith Paper Co., Lee, Mass.: 800- pound beaters on rag stock, 40-inch roll, 46 inches long, 15.25 horse-power; 300-pound beater on rag stock, roll 28 by 33 inches, 9.25 horse-power; 62-inch paper machine at 61 feet minute, 8.9 horse-power, and at 78 feet minute, 10.8 horse-power; the auxiliaries to the machine used 4.1 horse-power. , On p. 178, Emerson gave a 500-pound rag beater at the Hoiyoke Paper Co.'s mill as using 80 horse-power. At Fitchburg, Emerson found that three 450-pound beaters (one used as a washer) and attached machinery used 49 horse-power. On page 179, a 450-pound beater is given as using 13 horse-power. The Pejepscott Paper Mills, Maine, used 3500 horse- power of Risdon turbines driving 14 pulp wood grinders, at 200 R.P.M., and producing 66.5 tons of ground wood pulp per day, or 1 ton per 53 horse-power (about). Whit- ham's tests at Fulton, Dexter, and Carthage, N. Y., gave a ton of ground spruce wood pulp per day of twenty-four hours by expending from 60 to 65 horse-power (1913- 1918). Brownell, Ercildown, Pa., 1883, gave a 58-horse-power Leffel wheel as operating three 600-pound beaters, 36-inch roll, one 60-inch board machine, a pair of calender rolls, and a centrifugal pump. Bartley, p. 34, of " Wheel Book," 1886, gives 10 horse- 106 WATER RIGHTS DETERMINATION power for a 350-pound beater, and 15 horse-power for 500 pounds. The old Farrah " Sunny Dale " paper mill was built in 1815, and burned in 1850. It was immediately rebuilt, and is still operating (1916). It is on Beaver Creek, a tributary of the Brandywine. It has a 24-foot overshot wheel, 5 feet clear width, with buckets 10 inches deep, spaced 12 inches. The head is 33 inches. The sluice gate, 4.5 feet wide, is usually lifted from 6 to 8 inches. The wheel makes about 7 R.P.M. The power is about 55 horse-power. The mill operates a rope cutter, and a 300-pound beater- washer. The 36-inch cylinder paper machine is operated by a 12-horse-power steam engine. There is a stationary ragboiler. The product is 20 reams of tissue paper, or 200 pounds per twenty-four hours. The total power is about 67 horse-power (Hanby). The Crane upper and lower mills, Westfield, Mass. (1911), used 500 horse-power of turbines and engines to produce 4 tons of fine writing paper per day from new, bleached linen collar and shirt trimmings (Whitham). The Worthy paper mill, Mittineague, Mass. (1911), produced 4 tons of bond and ledger paper daily with 336 horse-power using rags and sulphite stocks (Whitham). Mittineague mills 1 and 2 (1911) made 14.8 tons of fine writings daily with 1520 horse-power using cotton rags (Whitham). The Collins mill, at N. Wilbraham, Mass., 1902, made 7 tons of fine writings daily, from rags and sulphite, with 790 horse-power (Whitham). The grant of 1818 to Caswell, at Watertown, N; Y., was a lot 66 feet wide and water " sufficient to carry a paper WATER RIGHTS OF LINSEED OIL MILL 107 mill." The amount of water thus granted has not been determined. A subsequent owner, in 1853, sold half of the water rights, defining this half as 4 runs of stones. It is probable that this 1818 mill had a rag duster and cutter, a small beater (used also as a washer), pumps, hand sieves for forming the sheets, and a power press. The shaft- ing was no doubt costly in power. The wheels available for use at the site and time were inefficient. No doubt there are many such indefinite paper grants requiring adjudication, WATER RIGHTS OF A FLAX OR LINSEED OIL MILL Fred. C. Rogers for twenty years operated probably the last country oil mill in New York, or down to 1892. It was on Oatka creek, about 1.5 miles south of LeRoy. The mill operated by a 48 and a 39-inch Rose wheel, 7 foot-head, 40 horse-power, total rating. In the operat on of the mill a continuous stream of flax seed (weighing 56 pounds per bushel) fed a pair of 8 by 8 inch metal-crushing rolls, which flattened, but did not grind the seed, and took about 5 horse-power. The crushed seeds were fed to the grinder, or chaser, consisting of a flat, stationary stone, over which revolved a heavy edge stone, or grinder, traveling around a vertical shaft, and revolving in a vertical plane. It used from 7 to 8 horse-power. The ground seed was then fed into an oven, having agitators, where it was cooked. The agitators took about 3 horse-power. The cooked oil meal was then put into a hydraulic 108 WATER RIGHTS DETERMINATION press, 70 pounds or 1.25 bushels at a time, and pressed to a final intensity of 400 tons to the square inch. This removed the oil. The press took about 8 to 10 horse-power. The oil cake, or residue, was broken and ground in a steel mill using from 12 to 15 horse-power. The mill used from 35 to 40 horse-power and handled about 2.5 bushels per hour, yielding about 2 gallons of linseed oil to the bushel. Fairbairn's " Mills and Millwork," 1878, 4th Ed., p. 506, gives an excellent description of an oil mill. This book was written in 1841 (p. 573). Tomlinson, London, 1854, in his " Cyclopaedia of Arts," p. 332, Vol. II, illustrates an oil mill, as does, also Knight's "Amer. Mech. Diet.," 1876, II, 1550. Moore, 1880, p. 441, gives 6000 pounds for the weight of the edge runner or grinder in an oil mill, turned about a central vertical shaft at 10 R. P. M. He fed 55 lbs. of seed every ten minutes, and thus crushed 3300 pounds per twelve hours, producing 1320 pounds of oil. He gives only 2.72 horse-power as being expended, which is wrong, as is evident from a study of Rogers' mill. Beardmore, p. 20, quotes Rennie's test of a water wheel at an oil mill. The fall was 15.5 feet; the rim speed of the wheel 270.5 feet per minute; diameter, 16 feet; breadth 2.5 feet; buckets 9 inches deep; the head gate was opened 18 by 4 inches; and 194.4 cubic feet of water per minute was used, producing 5.73 " nominal " horse-power.* Wait, 1871, gives his No. 27 Champion turbine, 6-foot head, 5.9 horse-power to run a " flax mill." * A " nominal " horse-power is indefinite, meaning one thing at one time or place and something quite different at another. So far as the Author has been able to identify it, a nominal horse-power is from 2.5 to 7 actual horse- power. (Molesworth, p. 483; Fairbairn, p. 456). PART TWO ORIFICE OR APERTURE GRANTS OF WATER POWER There are many aperture grants of water rights. Thus, at Cohoes, N. Y., a " mill power " was formerly 100 square inches of water taken through " an aperture in a thin plate, 50 inches wide by 2 inches deep, and under a head of 3 feet from the surface of the water to the center of the aperture." In 1859, experiments gave 5.9 cubic feet per second discharge. This was agreed upon, by the contracting parties, as 6 cubic feet second, as a new standard, which, when used under 20-foot head, is known as a " mill power," or 13.63 gross horse-power, or 10.91 net horse-power with 80 per cent efficient wheels. The annual rental for such a mill power was $200 per year, including the site of the mill. The coefficient of discharge was found to be 62 per cent (" 10th U. S. Census, 1800, Part I, 366"). The water power company at Windsor Locks, Conn., chartered in 1824, leased the flow through an orifice of 1 square inch, in a thin vertical plate, under a 30-inch head at $2.50 yearly rental. The contraction being complete, the discharge is 0.05425 cubic foot second, which, under a head of 20 feet, amounts to 0.123 gross horse-power. The coefficient of discharge is 62 per cent. The heads at Windsor Locks range from 30 to 27 feet (Ibid., 219). 109 110 WATER RIGHTS DETERMINATION At Unionville, Conn., developed 1830, the original leases were for a square foot aperture under a certain head. The lessors claimed that the aperture should be standard, i.e., with sharp edges, while the lessees claimed that the edges should be rounded. At this place there are two 18-foot canal levels, or 36 feet total fall. A " mill power " is 1\ cubic feet per second under 18 feet, or 15.34 gross horse- power (Ibid., 246). At Birmingham, Conn., the water grants were for a rectangular aperture of 144 square inches with a head of 12 inches above its center. This is called 5 cubic feet second, and was sold for twelve hours per day, six days per week, under the head of 22 feet, so that a mill power there is 12| gross horse-power. The coefficient of discharge is taken as 62.5 per cent. The first or permanent water was sold for $250 yearly rental, and the first surplus $100 (Ibid., pp. 312-318). At Ansonia, Conn., a mill power was the flow through an aperture of 1 square foot, under a 30-inch head, and amounts to 30 gross horse-power under 33 feet. It was leased for $600 yearly rental for permanent, and from $250 to $500 rental for surplus powers. The coefficient of discharge is 62 per cent (Ibid., pp. 318, 319). At Dexter, N. Y., several aperture grants were made, in the early days, the apertures being 3 feet square, or frac- tions thereof. A recent decision * on these grants found that — "Where a grant has been held to be of so much water as would pass through a prescribed aperture under all the head * Dexler Sulphite Pulp and Paper Co., vs. Jefferson Power Co., ct al., 179 N. Y., A. D., 332. ORIFICE GRANTS OF WATER POWER 111 available, a judgment requiring defendant to take such water through a standard rectangular aperture of metal with square edges, which was to open into a well-secured and tight flume or bulkhead, was proper, since the grant was not capable of interpretation in terms of a constant flow of a given amount of water, because it fixed no definite head, and the effect of the prescribed aperture would regulate the flow to the defendant's whee's accordingly, the aperture being a standard orifice the character of which was presumably- known to hydraulic engineers at the time when the grant was originally made to the defendant." This Dexter decision means that the owner of the 'aper- ture grant must make the aperture standard, with sharp edges, and without ajutage effect. He may draw such waters through this standard aperture for use by his wheels as is practicable at his mill. The Schuylkill Navigation Co. vs. Moore, 2 Wharton, 477, tried in 1837, related to " the privilege of drawing from the canal ... so much water as can pass through two metallic apertures, one of 50 square inches, and the other 250 square inches, respectively, under a head of 3 feet, to be measured from the middle of each of the said apertures, respectively, to the face of the water of the said canal . . . " The defendant applied to the aperture a certain conical tube, called an ajutage, by which the flow of the water was enlarged. It appeared that this invention was known to persons conversant with hydraulics, and to some of the officers of the Navigation Company before the making of the contract. Held that the true construction of the con- tract was, that the water was to be drawn in the ordinary way, and that the defendent had no right to increase the 112 WATER RIGHTS DETERMINATION flow by means of an ajutage." These were water grants of 1828, at the rate of $6 per inch of aperture. "Ajutage, a tube fitted to the mouth of a vessel for the purpose of modifying the discharge of water." (Appleton's Diet, of Mechanics and Engr., 1852 ) " If a cylindrical orifice is in a partition whose thickness is equal to two and one-half or three times the diameter of the orifice; or if the orifice is a tube of length equal to from two and one-half to three interior diameters, then the orifice is termed a short tube, or ajutage. The sides of short tubes may be parallel, divergent, or convergent." (Art. 225, Fanning.) An aperture grant, unless otherwise qualified, means that the water is to be taken through a standard orifice of the size defined or prescribed, the edges being sharp, no adjutage effect obtaining, and the discharge coefficient being about 62 per cent. Ajutage effect has been well known for at least nineteen hundred years, having been illegally used by the Romans for increasing the flow of water (Eubank, also Herschel's " Frontinus "). To avoid ajutage effect, or " To secure complete con- traction the orifice should be placed at a distance from the sides and bottom of the tank not less than three times the width of the orifice; and in order that the effect of the veloc- ity of approach may be inappreciable the area of the orifice should not exceed one-twentieth of the cross-section of the tank " (Turneaure and Russell's " Hydraulics," 1901, p. 216). COEFFICIENT OF DISCHARGE 113 COEFFICIENT OF DISCHARGE THROUGH STANDARD ORIFICES A standard orifice is one with square, sharp edges in which ajutage effect is suppressed. " An orifice so formed that the escaping liquid only touches its inner edge is termed a standard orifice, and, on account of the regularity of the results given by such orifices, they are used wherever practicable, for the measurement of water. The object to be attained by a ' standard orifice ' is to reduce the sur- face of contact of the jet with the vessel as nearly as possible to a line, and this result is attained — either by making the orifice in a thin plate or by leaving the inner edge a sharp corner and beveling the outer edge of the orifice" (Alger, pp. 92-95). " The standard orifice " is defined " to signify that the opening is so arranged that the water in flowing from it touches only a line, as would be the case in a plate of no thickness. Generally the head of water on an orifice is at least three or four times its vertical height" (Merri- man, 1900, art. 34). The coefficients of discharge for standard circular orifices are given as follows: Per Cent. Per Cent. 61.7-67.3 69.2 61.8 60.7-61.9 Ellis... . 57 3 61 5 61 -61-5 Eytlewein 61 9 Michelotti The coefficients of discharge for standard square orifices are given as follows: 114 WATER RIGHTS DETERMINATION Per Cent. Per Cent. Michelotti 60.2-61.9 61.6 65.5 57.2-60.5 62.5 57.2-60 5 Smith 59 9-61 6 Venturi 63.1 Dr. Young 64 Tredgold Alger 61 The coefficients of discharge for _standard rectangular orifices are given as follows: Bidome ..... Boffnet John Banks. . Michelotti. . . Helfham. . . . Brincley Smeaton. . . . Lispinasse . . . Pin Isaac Newton Poncelet Lebros Per Cent. 62-62.6 .5 .2 .5 .5 .1 .1 59.4-64 59.4-64 70.7 59.6-69 59.6-69 61. 67. 62. 70. 63. 63. Weisbach Jackson Ey tlewein Neville Downing Perry Turneaure and Russell Fanning Merriman Trautwine Mead Bellasis Per Cent. 61-62 62.5 62.1 62 62.5 62 62 60.1-62.7 59-63 62 62 62 The courts used 62 per cent in 82 Wis. 437, 444; 30 Me. 433, 436-7; 45 Pa. State, 61; 2 Wharton (Pa.), 477; etc. A coefficient of discharge of 62 per cent is generally recog- nized by hydraulic engineers as holding for sharp-edged orifices whether circular, square or rectangular, when constructed to avoid ajutage effect, i.e., for " standard " apertures. While not absolutely exact for all sizes of openings and heads, it is practically correct. For the setting of a standard orifice so as to avoid ajutage effect, see p. 128. The coefficient of discharge is the ratio of the actual to the theoretical flow through an orifice under the vertical COEFFICIENT OF DISCHARGE 115 head measured from the surface of the water in the reservoir or flume down to the center of the opening. The flow is determined by multiplying the area of open- ing by the velocity through it. The velocity is, theoretically, the square root of the product of twice the acceleration due to gravity and the head, or V2gh. The acceleration of gravity being 32.2, 2g is 64.4, and \/2gh is \/64.4/i, or 8.02\//i. Thus, for a 4-foot head, the theoretical spouting . velocity is 8.02 xV4, or 16.04 feet per second. The theoretical discharge through an orifice 1.5 feet square under a 4-foot head is 16.04x1.5x1.5=36.09 cubic feet per second. If the contraction is complete, so that the coefficient of discharge is 62 per cent, then the actual flow is 0.62 x 36.09 or 22.4 cubic feet second. " The word orifice always signifies an opening, the upper side of which is covered with the liquid in the feeding reservoir: when not qualified it means an opening pierced in a thin wall, the escaping jet only touching the regular line formed by the inner edge or corner with perfect interior contractions" (Hamilton Smith, 1886, p. 5). " A rounded interior edge in an orifice is therefore always a source of error where the object of the orifice is the measure- ment of the discharge" (Merriman, 1900, p. 90). COEFFICIENT OF DISCHARGE THROUGH BULKHEAD GATES It is difficult to construct a bulkhead gate at the head of a canal, or flume, or at the entrance to a forebay, " stand- ard." There is bound to be more or less ajutage effect, or a greater or less suppression of the contraction. Accordingly 116 WATER RIGHTS DETERMINATION the coefficient of discharge is usually greater than 62 per cent. The gate may be constructed to approach and even exceed 100 per cent of the theoretic discharge due to the head. Robt. E. Horton found that the head gates of the v so-called mammoth flume in Watertown, N. Y., in 1915, had a discharge coefficient of 82 per cent, and that the velocity of approach in the pond increased the coefficient to 90 per cent. The bulkhead gates at the north end of the middle dam in Little Falls, N. Y., have a coefficient of discharge of about 95 per cent, including the velocity of approach. Trautwine gives 80 per cent discharge coefficient for suppressed contractions (1907, p. 544), while Mead (1908, p. 43) gives 98 or even 99 per cent. Bellasis (1903, p. 46) gives 100 per cent for complete and 81 per cent for half- suppression of the contraction. " Two orifices adjacent, separated by a narrow bar, discharge more than the two considered separately because of mutual velocity influences. When the width of bar is less than the least dimension of the orifices the discharge will nearly equal that thru an orifice of area and form like orifices and bar combined less that of an orifice of area and form equal to the bar with contractions supprest next the orifices" (" Amer. C.E. Pocket Book," 1911, p. 842). Eytlewein found that openings in the shape of the con- tracted vein had 96.9 per cent discharge coefficient, and for wide openings with the bottom on a level with the reservoir, or sluices with walls in a line with the orifice, the coefficient is 96.1 per cent (Gregory, pp. 268-9). Reynolds gave 96.25 per cent discharge coefficient for COEFFICIENT OF DISCHARGE 117 gates without contraction (p. 11), Molesworth, 96 per cent (23d Ed., p. 275), and Tredgold, 97.5 per cent (p. 193). No hard-and-fast rule can be laid down for the discharge coefficient of a head gate. The range is from 62 to 98 per cent, and the figure to be used is known only when the form of con- struction is given. COEFFICIENT OF DISCHARGE FOR GATES AT, AND AD- MITTING WATER ONTO FLUTTER, UNDERSHOT, BREAST AND OVERSHOT WHEELS The coefficient varies with the design and construction of the wheel gate and its relation or position with reference to the wheel. Such gates are usually made with contrac- tions suppressed at the bottom and sides of the openings, and partially or entirely at the tops. The openings are wide and shallow, the gate lift being relatively small, so as to give a thin stream suitable for striking or entering the wheel buckets. After passing the gate the water feeding an overshot wheel usually traverses a short, sloping apron, sometimes expanding in width, the fall along the apron partially or entirely neutralizing its resistance. An undershot wheel usually has a gate close to the buckets, constructed to practically suppress the contraction, while the fall in the chute, from the gate to the bucket, balances the chute's resistance. The breast wheel's gate is set against the buckets and contraction is suppressed. The discharge drops into the empty buckets. Where the contraction is complete the discharge coefficient 118 WATER RIGHTS DETERMINATION is 62 per cent. Where the contraction is completely suppressed the coefficient is nearly 100 per cent. With the contraction half suppressed the coefficient of discharge is about midway between 62 and 100 per cent, or about 81 per cent. With the contraction three-fourths suppressed the coefficient is about 90 per cent. Mahan's " Breese," p. 57, gives 95 per cent as the dis- charge coefficient for these wheels, as does Grier, pp. 211-2. These are for contractions suppressed. Scribner, p. 157, and Haswell, 1854, p. 176, give 81.25 per cent for the coefficient; Spon, 80.3 per cent; Tredgold, 86.25 ; and Appleton, 89 per cent, the contraction not being fully suppressed. Reynolds gives 66.7 to 75 per cent; Overman, 67 per cent; Byrne and Templeton, 67.5 per cent; and Leonard, 68.8 per cent for the coefficient of discharge for these wheel gates, the contractions being, of course, but partially sup- pressed. Builders of the Smith, Eureka, Wilson, Dolan, Chris- tianna and other turbines, in their wheel books, mention 62 or 63 per cent as the coefficient of discharge for over- shot wheels — on the assumption, of course, that the con- traction of the wheel gate is complete. Flutter wheels are gated like an undershot, and their coefficient of discharge is usually about 95 per cent. COEFFICIENT OF DISCHARGE 119 COEFFICIENT OF DISCHARGE FOR TUB, FLAT-VANED, CENTRAL-DISCHARGE, SCROLL-CASE WHEELS, AND OTHER WHEELS SUPPLIED BY TAPERED SPOUTS These wheels have spouts tapering to a throat at the wheel. The sides of the spout are inclined at about 14 degrees. Jas. Emerson, 1894 Ed., 152, says, "One of the com- monest and easiest turns which we see given to water is in the scroll of an ordinary wooden wheel. Supposing this scroll to be 72 inches in diameter with a 12-inch spout leading to it; that is, the diameter of the scroll is 6 times that of the spout and the velocity of the water 25 feet per second (= 10 foot-head). To maintain this velocity requires an additional head of 2.5 feet, but as this loss is hidden by the reduced velocity of the water caused by its impact on the buckets, and also rapidly grows less with its reduced velocity ... It is very generally ignored and sometimes denied altogether." This quotation means that the coefficient of discharge is 89.3 per cent. Emerson does not here mention the spout as being tapered. The Willimansett tapered spout experiments by Emerson, given on p. 36, showed 91.39 per cent discharge coefficient. They were made with one-eighth models of a spout 10 feet long, having its throat 32 by 36 inches at the lower end, and mouth 36 by 48 inches at the upper end, as used at Plattsburg, N. Y., for a tub wheel. Bennett's " D'Aubuisson," pp. 407-410, found 95 per cent discharge coefficient for a tapered spout. Reynolds, p. 12, gives, "A central discharge wheel 120 WATER RIGHTS DETERMINATION receiving the water through a spout into a scroll case, and discharging through openings four times the size of the spout, has been made to pass 90 per cent as much water as would be discharged through the best formed ajutage under the same head into the open air." Molesworth, p. 275, gives 94 per cent discharge coefficient for a taper spout, or converging mouthpiece, the sides being inclined at 13.5 degrees. Alcott, p. 75, for converging, conical spouts, with length three times the diameter, gives 94 per cent discharge coef- ficient. Wilson, p. 54, gives the discharge coefficient for wheels with tapered spouts as nearly 100 per cent. " A rule for determining the flow of water per second through a spout from a flume as adopted in Hartwell vs. Mutual Life Ins. Co., 50 Hun, 497, 3. N. Y. Supp. 452, was to multiply the square root in the number of feet in the head by 8.025, and multiply this result by the square feet of the area of discharge, and the result was the cubic feet per second" (Farnham on " Waters and Water Rights," III, 2292-2294). COEFFICIENT OF DISCHARGE FOR TURBINES The coefficient to be applied to the smallest throat or discharge openings in a turbine, in order to determine the volume of flow through it, due to the head of water, is given by builders, as follows: Leffel, Poole and Hunt, Success, Reliance and Trump wheels, 60 per cent; Victor and North American, 64 per COEFFICIENT OF DISCHARGE 121 cent; Adams or Warren, 62 per cent; Reynolds, 55 per cent; Chase, 62.3 per cent; Wilson, 62.5 per cent; Bodine- Jonval, 63 per cent; and Wemple, 52.5 per cent. Jas. Emerson, 1894, p. 42, gives, " There are turbine builders who suppose that their wheels discharge the full quantity theoretically due their openings, while those call- ing themselves engineers generally believe the discharge of such wheels to invariably be about 60 per cent due their openings, when in fact the discharge of turbines varies all the way from 35 to 100 per cent, and in special cases perhaps still more." On p. 67, Emerson says, " There is an idea that turbines discharge 60 per cent of the theoretical quantity due their openings. The idea originated from obsolete wheels of the Fourneyron type. Of the modern wheels I have had care of tabling hundreds, yet have never known of one reaching 55 per cent of its openings; 52 perhaps is a fair average, 49 about all that the American can do." Emerson, p. 101, also states that " The discharge of a turbine in proportion to its openings depends upon its construction. " With those of a central discharge it is the least; with such wheels of fair efficiency it is likely to range between 40 and 50 per cent; with outward discharge, 60 per cent and upwards; while with those discharging the water down- ward, it averages about 55 per cent. " The chutes of a curb are made much larger at their outer then their inner ends, consequently, can pass much more water than the wheel will discharge, though the open- ings of the wheel may be somewhat the largest, so that the openings of the wheel govern the discharge." 122 WATER RIGHTS DETERMINATION Emerson tests of a Tyler turbine, in 1873, showed 51 and 52 per cent discharge coefficient (p. 212). At Holyoke, flume tests show from about 50 to 62 per cent discharge coefficients. The author found from 52 to 55 per cent for several different types of turbines he has measured during the past twenty years. R. E. Horton gives from 40 to 60 per cent (" W. S. and I. P.," 180, p. 90). GRANTS OF INCHES OF WATER It has already been shown that when a water grant is defined as an aperture of a given, definite size, a discharge coefficient of 62 per cent is to be applied, while it must be a standard orifice with complete contraction, and without a trace of ajutage. The discharge is such as can be reason- ably obtained through said aperture, with its discharge coef- ficient, for the head prevailing. That is, an aperture grant compels the use of a given sized aperture and none other, in a " well-secured and tight flume or bulkhead." The amount of water granted is limited and controlled by the actual use of the aperture defined in the grant.* On the other hand, when a grant is made of so many inches of water for a particular locality, the inches are used simply as a convenient measure of the quantity granted, and not as a definition of any particular orifice required to be used.f In the early days, say up to 1850, millwrights measured the use of water or the power needed by the throat and the * Dexter Sulphite Pulp and Paper Co. vs. Jefferson Power Co., et al., 179 N. Y., A. D., 332. f Palmer vs. Angel, 69 Hun, 471; 23 N. Y Supp. 397. GRANTS OF INCHES OF. WATER 123 head on the throat feeding a tub, flutter, or other primitive type of wheel used. Such throats were usually made with contractions nearly or fully suppressed, and with close to 100 per cent discharge coefficients. It became known to millwrights and mill men that so many inches of throat under such a head would drive a saw, or a run of stones, etc. The power and water used were measured by the inches of throat and head, rather than by horse-power or cubic feet per second. When a new wheel, say a turbine, was offered to perform the same or more work, it was restricted to the use of no greater number of inches of water than prevailed for the more primitive wheel. In this way it became necessary for tur- bine builders to rate their wheels in inches of water. " Our correspondence indicates a frequent misapprehen- sion of the meaning of the term ' square inches of water vented.' Some think that in a (turbine) wheel said to use ' 100 square inches of water ' it is meant that the entire area of the chute apertures measure 100 square inches; others think the meaning to be that the entire area of the discharge aperture is 100 square inches. Neither of these views is correct, but the meaning is that the theoretical discharge under any head, due to the aperture measuring 100 square inches in cross-section, would equal the actual discharge of the (turbine) wheel under the same head. A ' square inch of water ' means a stream exactly 1 inch square, and equal in length to the theoretical velocity in feet per second due to the head from under which it issues. For a head of 4 feet this length would be 16.04 feet per second; for a head of 10 feet, 25.36 feet per second" (Victor " Turbine Book " 1887, p. 23). 124 WATER RIGHTS DETERMINATION " The square inches at the head of each turbine table show the area of an opening which would theoretically dis- charge the given quantity of water under the given head" (Hercules, p. 22; see Leffel, 1894, p. 23; also, Reynolds, p. 13, and Success, p. 26). " It is the custom of most water wheel (turbine) manu- facturers to publish upon their tables the 'number of square inches ' each size wheel vents or uses. This has caused much discussion among millwrights and others as to what is the proper way to measure a (turbine) wheel, some claim- ing that the measure is correct, for upon some powers where the water is leased, it being specified that they leased a certain number of ' square inches ' (the leases having been made when there were no other wheels used upon the stream than the old ' wooden central discharge,' and the customary way being to measure the throat or inlet) ; thus good turbines have been barred out, through the ignorance of the parties interested, because the apertures measured more than the lease called for, when the turbine would have done the same amount of work with one-half the water used by the central discharge whose throat had the required area. The term 'square inches a wheel vents or uses,' is usually, or at least in our case has been determined by measuring the water in the tail race after it had passed through the wheel, finding the number of cubic feet passed per minute, and then computing the size stream required discharged into the open air (without any other resistance) to discharge this amount, and the area of the cross-section of this stream was the number of square inches used by the wheel" (J. C. Wilson, p. 54). " The vent of turbines, as usually expressed, is the area of an orifice which would, under any given head, theoretically GEANTS OF INCHES OF WATER 125 discharge the same quantity of water that is vented or passed through a turbine under that same head when the wheel is so loaded as to be running at maximum efficiency" (R. E. Horton, "W. S. and I. P." No. 180, p. 89). " Manufacturers formerly gave the vent of their wheels in conjunction with the rating tables, and water privileges are often deeded in terms of the right to use a certain number of 'square inches of water' from a stream or power canal. As commonly interpreted this implies no definite coefficient of contraction, the owner being entitled to use as much water as can flow naturally through an orifice of a given area, under the existing head. The limiting value of the coefficient of discharge is unity" (Ibid.). " In the use of scroll wheels, fed by short flumes leading out of the race ways, and having a contracted rectangular throat, the ventage agrees more or less closely with the area of the throat" (Ibid.). " The vent of a turbine should not be confused with the area of the outlet orifice of the buckets. The actual discharge through a turbine is commonly from 40 to 60 per cent of the theoretical discharge of an orifice whose area equals the combined cross-sectional areas of the outlet ports measured in the narrowest section" (Ibid.). " Another early modification of the rouet consisted in placing the runner in a spiral case as shown in Plate III (g). Such wheels drew water from the flume by means of a short tapering spout. Spent water was discharged at the top and bottom of the case around the shaft. This type of wheel is known as a scroll-case or central-discharge wheel. They may be operated entirely by impulse or by combined action according to the arrangement of the vanes and the size of 126 WATER RIGHTS DETERMINATION the inflow and outflow openings in the case. Simple wooden and iron wheels of this type were more extensively used than any other form of water wheel in central and northern New York at one time, and the use of this type, the case having a tapering throat in which the gate was placed, has apparently given rise to the use of the term ' square inches ' in defining water rights, it being customary in deeding water rights to provide for enough water for such a wheel having throat section of a certain number of square inches area. The corresponding quantity of water was substantially equal to the theoretical flow through an orifice of the same size y without contraction, in the wheels operating by impulse" (R. E. Horton's Lecture on Turbine Water Wheel as a Prime Mover, at Potsdam, N. Y., 1909). " A square inch of water means a stream exactly an inch square, its length depending upon the head from which it issues; for a head of 4 feet, it means a stream an inch square, 16.04 feet in length, per second; for a head of 100 feet, a stream an inch square, 80.35 feet in length, per second. To turn this into cubic feet, multiply by 12, than divide by 1728" (Emerson, 1878, p. 22; see, also, Grimshaw's " The Miller, Millwright and Mill Furnisher/' 1882). Emerson illustrated this rule by a reference to North Sunderland, Mass., where a grant of 15 inches of water under 62-foot head meant 65.77 cubic feet per second (Ibid., p. 20). From an engineering standpoint the grant of " inches of water " means the theoretical discharge through a non-con- tracted orifice of the size designated under the head obtaining, the coefficient of discharge being substantially 100 per cent. GRANTS OF INCHES OP WATER 127 On the other hand the courts do not generally recognize this definition as established, and when a grant is construed in accordance with the engineering definition, the decision is based upon practical construction and use, rather than upon the engineering basis, as shown by the two cases now to be cited. In the case of Palmer vs. Angel, 69 Hun, 471 ; 23 N. Y. Supp. 397, a grant of 1863 was for the right to tap a race way at a certain location and lead water therefrom to the grantee's mill, " also, the right to use, from the race way — 600 inches of water for the purpose of carrying their mills and machinery." The grantor agreed to furnish the water at all times, after reserving 500 inches for his own use. The grantee could obtain up to 200 inches of additional waters at $1.50 per inch. In or before 1865, the grantee bought the additional 200 inches, making 800 inches total as his right. The point in dispute was as to where the water should be measured. The grantor wanted the measurement made at the location where his race was tapped by the grantee. The grantee wanted the measurement made at his wheels. The court cited Cromwell vs. Selden, 3 N. Y. 253; Wakely vs. Davidson, 26 N. Y. 387; Groat vs. Moak, 94 N. Y. 115; Mudge vs. Salisbury, 110 N. Y. 413, stating that in them the water grants were of power — power for saw, grist or other mills, and " the amount of water was measured by the power that was granted." " In this (present) case the parties have no specified power granted, but have a specified quantity of water. While the water mentioned in the grant here was, of course, intended to be used for the purpose of producing power, yet the amount of power was not specified, but the amount 128 WATER RIGHTS DETERMINATION of water was. ... It is not water sufficient to operate a given number of wheels, or water sufficient to operate the mill, but of 800 inches of water. The grant is ' of the right to use from the race way.' The grantor ' agrees to furnish said water in their said race.' . . . The referee has found from the evidence before him that the grant of water is of square inches, and that, at the existing head of water at the point of delivery, it will require an opening or orifice of 1280 square inches to permit the delivery of 800 inches, and from this conclusion I can see nothing in the evidence to cause me to differ." Judgment affirmed. All concur.* It was held that the measurement must be made at the location where the grantor's raceway was tapped by the grantee. In the case of Janesville Cotton Mills vs. Ford, 82 Wis. 416, " Held, upon the evidence, that the term ' square inch of water ' had not in 1860 (prior to which time the earlier conveyances were made) acquired, even among hydraulic engineers and mill men, the fixed technical meaning of a stream of water with a cross-section in area of 1 square inch, moving at the velocity due to the given head. The grants are to be construed, therefore, in the light of the surrounding circumstances and the practical construction placed upon them by the parties." The parties had by agreement, for several years, em- ployed an engineer to apportion the waters, and he gave to each grantee the inches of water owned by him, " taking as a standard a stream having a cross-section area of a full square *Note. By applying a discharge coefficient of 62.5 per cent to the gross area of 1280 square inches, a net area of 800 square inches is obtained. The theoretical flow through 800 square inches is identical with the actual flow through a standard orifice of 1280 square inches. FLUTTER OR SAW MILL WHEEL 129 inch and moving with the velocity due to the head." This was the only rule adopted and used by the parties. " Held that the practical construction, by the parties interested, of the term ' square inch of water ' in the con- veyances, being reasonable and definite, must be taken as the true construction of that term." In this case the grants were for a specified number of inches of water under a head of 4 feet, or its equivalent under any other head. The " reasonable " and " definite " rule of millwrights and hydraulic engineers, is likely to hold in determining the meaning of " inches of water " in a grant. There is a clear distinction between such a grant and an " aerpture " grant. FLUTTER OR SAW MILL WHEELS Flutter wheels are primitive undershots, and the water acts by impulse upon them. The discharge coefficient for the gate of the flutter wheel is nearly or quite 100 per cent as has been shown on page 117. The rim or perimetral speed of such wheels is high, so as to give a rapid motion to the upright saw of a saw mill, for which such wheels were commonly used. Craik, p. 95, mentions the rim speed as 67 per cent of the velocity of the water at the wheel gate. Flutter wheels are adapted to a head of above 6 feet " where water is plenty. . . . They are built low and wide, for low heads; and high and narrow for high ones, so as to make (for an upright saw blade) about 120 revolutions, or strokes of the saw, in a minute" (Evans 1795 Part 5 p. 78). 130 WATER RIGHTS DETERMINATION A flutter wheel for an upright saw is recommended by Ellicott as follows; he adding, " but if there is plenty of it (water), thewheelsmay.be made wider than directed in the table, and the mill will be more powerful" (Ibid.). 1795 TABLE FOR FLUTTER WHEELS TO OPERATE A SAW (Ellicott) Head of Water. Wheel Diameter. Wheel Width. Ft. Ft. In. Ft. In. 6 2 8 5 6 8 , 2 11 4 8 10 3 1 4 12 3 3 3 6 14 3 5 3 16 3 7 2 6 20 3 11 1 10 25 4 4 1 5 30 4 9 1 On p. 9 of the Appendix of Evans, 1795, is given Wm. French's description of a saw mill using a flutter wheel, to make the saw " strike between 100 and 130 strokes in a minute." This has 9 buckets, 4 being active at one time. Buckets 4.5 inches wide. The " go-back " or log carriage wheel described is a tub wheel 4.5 to 6 feet diameter, with 16 buckets. French advises the following flutter wheel table for a single saw, the crank arm being about 11 inches, but varied to suit the timber (see page 131 for table). Flutter wheels " are mostly used for . . . the saw in saw mills . . . where the water is plenty, and the fall above 6 feet . . . adapted to any head above 6 feet . . . (they are) low and wide when the head is small, and high and narrow when there is a high head, so as to have from 120 to FLUTTER OR SAW MILL WHEEL 131 Head. Width of Wheel. Diameter of Wheel. Thhoat. Ft. Ft. Ft. In. In. 12 5 3 u 12 5i 3 2 10 6 3 21 9 61 2 10 21 8 7 2 9 2J 7 7* 2 8 3* 6 8 2 7 3* 5 9 2 6 31 130 revolutions or strokes of the saw per minute" (Pallett, 1866, p. 232). " When the head is about 6 feet, the diameter of the wheel should be about 2 feet 8 inches, the width being 7 or 8 feet. . . . There should always be a full head, to give a lively motion; . . . The opening in the gates should be from 3 to 4 inches, that the water may give the required power " (Ibid.). Haswell (1909, 571) says that the " nutter or saw mill wheel" operates "under a high head of water," the "water being plenty." " The water way for the old flutter wheel is a curve, the circle of which coincides with that of the wheel at the bottom, or termination, but gradually recedes from the wheel as it rises to about the center of the wheel, where this 'com- pass fall ' commences, and is the width of the ' throat ' away from the wheel. Thus only a portion of the water is intercepted by the first float or bucket, the rest passes on to the next one, which intercepts a little more, and so on until the last bucket catches the whole: The gate for this is a piece of thick plank the length of the chute, and 132 WATER RIGHTS DETERMINATION somewhat wider, and the thick edge next the chute beveled off and slightly rounded, to encourage the entrance of the water" (Craik, pp. 183, 184). The flutter wheel, attached to a saw mill, is illustrated by Evans, in his 1795 edition. R. E. Horton well summarized the meager data upon flutter wheels when he placed the efficiency at 10 per cent, with the best at 20 per cent (Potsdam, N. Y. Lecture on Turbine Water Wheel as a Prime Mover, also " W. S. and I. P.," No. 180, p. 23). In the trial of the Carthage Tissue Paper Mills vs. Village of Carthage, N. Y., Jos. V. Guyot was the only witness able to describe the saw mill built under a grant of 1830. He' described the saw as propelled by a flutter wheel, with buckets and gate each 10 feet long, and the gate raised 7 inches, or a use of 840 inches of water under a 9-foot head. He also said that the " gig " wheel (for the go-back of the log carriage) used 150 inches, as did the log-pulling or " bull " wheel. Guyot also said that a single saw would have a flutter wheel 8 feet long with 5 or 6 buckets. The court found 1000 inches of water for a saw mill with one saw. TUB WHEELS The tub wheel is a primitive turbine acting by impulse. It was used earlier than 1750 (Bennett's " D'Aubuisson," p. 411), and is an American type (Appleton, II, p. 787). The old-fashioned spoon or tub wheel had a runner on a vertical shaft, and set in a cylindrical shell, or tub, built up towards the level of the head water. The water was TUB WHEELS 133 conducted to the wheel by a tapered spout, the sides making an angle of 11 or 12 degrees. The smallest opening, or throat, was at the tub. One side of the spout was tangent to the tub. The runner, with its vertical shaft concentric with the tub, had a number of paddles, vanes or buckets regularly distributed around its axis. " The horizontal section of the paddles presents a slightly curved form, having its concavity towards the side from which the action of the water comes; cut by a cylinder concentric with the well (or tub), they would give inclined lines more or less like arcs of helices. . . . the water comes through the ' spout ' with considerable velocity, endeavors to circulate all around the well (tub), and, meeting the paddles in its road, obliges them to turn, as well as the axle that supports them. At the same time, the water obeys the law of gravity passes through the wheel by means of the free space between the paddles, and falls into the tail race, which ought to be a little lower ... the water must undergo a good deal of disturbance in entering the wheel, and, moreover, ... it acts upon the latter for too short a time to entirely lose its relative velocity. Also the effective delivery, sometimes very slight and about 0.15, never exceeds 0.40 " (Mahan's " Bresse," pp. 66-68). " A tub mill has a horizontal water wheel, that is acted on by the percussion of the water altogether, the shaft is vertical, carrying the (mill) stone on the top of it, and serves in place of a spindle; the lower end of this shaft is set in a step fixed in a bridge-tree, by which the stone is raised or lowered . . . ; the water is shot on the upper side of the wheel, in a tangent direction with its circumference. The wheel runs in a hoop, like a mill stone hoop, projecting 134 WATER RIGHTS DETERMINATION so far above the wheel as to prevent the water from shooting over the wheel, and whirls it about until it strikes the buckets, because the water is shot on in a deep narrow column, 9 inches wide and 18 inches deep, to drive a 5-foot stone, with 8-foot head — so that all this column (of water) can not enter the buckets until part has passed half way round the wheel, so that there are always nearly half the buckets, struck at once; the buckets are set obliquely, so that the water may strike them at right angles ... As soon as it strikes it escapes under the wheel in every direc- tion ..." (Evans, 1795, Part II, p. 11; see, also, Pallett, p. 230). Evans, p. 13, states that the water does not act to advantage on a tub wheel; that the wheel is made small to obtain the needed speed for a mill stone directly connected, and this makes " the buckets take up a third of their diam- eter . . . "; its efficiency is less than an undershot's; for low heads use two spouts per wheel, each 6 by 13 inches, set opposite each other, rather than one spout, 9 by 18 inches; are simple and cheap, needing no gearing; have sufficient speed at 9 or 10-foot fall, and plenty of water; and tubs do not use any more water than do undershots, for the same power, with a fall of 8 feet or more. It has been shown on p. 119 that the coefficient of discharge is nearly or quite 100 per cent of that theoretically due to the area of the throat -at the small end of the tapered spout, and the head of water upon the center of that throat. Evans, 1795, Part II, 14, gives the wheel speed at the center of the buckets as 66 per cent of the water velocity, or of the theoretical velocity due to the head. On page 16 he gives the following: TUB WHEELS 135 EVANS* TUB WHEEL TABLE FOR STONES OF VARIOUS SIZES IN 1795 Diameter of Center Cubic Feet of Areas of Throats of Buckets, Feet. Water per Sec. of Spouts, Sq.ft. Head Feet. Stone Diameter. Stone Diameter. Stone Diameter. 4 Ft. 5 Ft. 6 Ft. 7 Ft. 4 Ft. 6 Ft. 4 Ft. 6 Ft. 8 2.17 2.73 3.30 3.90 17.34 40 90 0.76 1.79 10 2.63 3.28 3.97 4.59 13.37 32.72 .54 1.28 12 2.90 3.60 4.34 4.90 11.56 27.26 .41 .97 14 3.12 3.90 4.70 5.43 9.90 23.36 .33 .77 16 3.34 4.12 5.01 5.83 8.67 20.45 .27 .60 18 3.51 4.41 5.32 6.18 7.70 18.18 .22 .52 20 3.71 4 62 5.49 6.47 6.93 16.36 .19 .45 - The cubic feet second of water, in the table quoted, are the theoretical quantities for the throats and heads with a 100 per cent discharge coefficient. In this connection it is to be noted that Evans gives 5 bushels of wheat per hour for the capacity of a 5-foot mill stone in 1795, and the power used by various sizes as follows: Stone, Ft. R.P.M. Cubochs.* Gross h. p. Power Ratio. 4 122 52 5.78 100 5 98 111.78 12.42 215 6 81 192 21.33 369 7 70 313 34.78 • 602 * A cuboch is a term coined by Evans, used only by him, and meant 1 cubic foot of water falling 1 foot in a second. His power theories were unreliable, as is evident to any mill man. Evans also says that when the cubochs are divided by half the head the cubic feet per second of water needed are obtained; the cubic feet divided by the velocity gives the area of the throat or gate aperture; and that it is necessary to cast off a foot for the water in the tail race for a geta- 136 WATER RIGHTS DETERMINATION way, and 9 inches to get the water onto the wheel, or a total head reduction of 21 inches (Part II, pp. 16, 17). This an- alysis by Evans is entirely theoretical as is the power deduced therefrom. Emerson (1894, p. 36), tested a tub wheel in 1885 at Highgate, Vt. The water had an open spout or trough with parallel (not tapered) sides. The gate at the head end of the trough had full contractions and 61 per cent discharge co- efficient. Head of 7.25 feet on center of gate opening. Trough was 8 feet long and pitched to make 11-foot head on the half-depth of the wheel. It took 5.2 horse-power to grind a bushel of ordinary, and 5.9 horse-power for a bushel of hard Minnesota wheat per hour. The Falls Mill in Fredericksburg, Va., built in 1727, had two tub wheels with throats 16x9 inches each, under an 8 ft. head. Alfred Duvall, Millwright, on April 1, 1848, deter- mined their discharges to aggregate 45 cu. ft. of water per second, which corresponds to a 100 per cent coefficient.* J. B. Ficklen, St., former owner, in an affidavit of June 30, 1859 (in Forbes vs. W. P. Co.) said that the grinding capac- ity of this mill thus equipped was a total of from 25 to 50 bushels of corn per day. Bennett's " D'Aubuisson," p. 411, cites a tub wheel 3.28 feet diameter, 0.656 foot thick or high, with 9 curved floats or buckets. The tub was 3.34 feet interior or diameter and 6.56 feet deep (axially), the runner being near its bot- tom. The spout had a throat 0.722 foot wide, one side being tangent to the interior of the tub. Guyot in the Carthage Tissue Mills case (p. 49 of Record) described an old tub wheel 8 feet diameter with throat of * See deed of J. B. Ficklen to Thos. F. Knox, June 27, 1851. TUB WHEELS 137 spout 14 by 20 inches. The head was about 9 feet. It ran a machine shop. Guyot also told of 4 tub wheels in a grist mill, each 6 feet diameter with throats of 200 square inches, under the same head (p. 56) ; also, of an 8-foot tub wheel, throat 300 square inches for 3 nail cutters hi a nail factory (p. 65). Tub " wheels cannot be recommended, in consequence of the water not acting to advantage . . . even when con- structed in the best possible manner. If the head be low, it is difficult to get a sufficient quantity of water on them, so as to drive them with sufficient power. . . . only suited to those streams where the water runs to waste the whole year ..." (Pallett, p. 231). The efficiency of tub wheels has been given as follows : Per cent. Evans, in table above, about 37 Horton (Potsdam Lecture) 20, best 50 Drake (p. 160) 27 to 30 Mahan's " Breese " (p. 68) 15, never exceeds 40 Abbott (p. 5) 25 Bennett's " D'Aubuisson" (pp. 416-7). 20 generally, 25 best Wells (p. 154) 10 Scribner (p. 154) 27 to 30 Many writers class tub and undershot wheels as being of equal efficiency, i.e., from 25 to 35 per cent, which the author adopts. 138 WATER RIGHTS DETERMINATION WOODEN SCROLL-CASED, CENTRAL-DISCHARGE WHEELS Wooden, central-discharge wheels were the prevailing type in the United States in the period between the aban- donment of undershot, tub and breast wheels and the introduction of turbines. This period varied in different localities, but may be given the dates of from 1835 to 1855. Such wheels are now in use in rural localities in grist mills. They were cheap to build, required no cumbersome gearing, and, aside from poor efficiency, had all the advantages of the turbine. They were speeded for direct connection to the mill stones. A central-discharge wheel is built with a vertical shaft, wood or iron, to which are secured flat vanes or buckets or paddles. The distance across the center from tip to tip of buckets is the diameter of the wheel or runner. This runner and shaft are carried on a submerged step under- neath the wheel. The runner turns in a case, shaped like a scroll. The top is planked over, but is not ah- tight, there being a small clearance between the cover and the shaft. The scroll side of the case is called the curb. Its interior is smooth and scroll shaped. It is usually built of wood. The bottom is of plank, with a large discharge opening through which the shaft passes and water dis- charges into the wheel-pit. The runner is inside the case and turns without contact with the case, or its cover and floor. The discharge opening is not made so great but that the tips of the buckets will extend beyond its perimeter and over the floor which has not been cut away, and this extension, or overhang, is called the shelf or shoulder. CENTRAL DISCHARGE WHEELS 139 Water is supplied to the scroll case by a tapered spout connecting the case with the flume, pond, or other source of supply. The small end of this spout, where it connects with the scroll case, is called the throat. The spout is con- nected tangentially with the casing. There is a gate in the spout, never placed at the throat, but at some point from it towards the pond, so that, the spout being tapered, the gate is larger than the throat. Hughes (1855, p. 249), gives an illustration (here repro- duced), and description of this central discharge wheel. CENTBAL DISCHARGE WATEH-WHEEL. (From Hughes) Craik, in his book of 1872, calls these wheels " wooden center vent " on p. 139; " scroll-cased center-vent wheels," on p. 141 ; and on pp. 205-207 he gives the following method of laying out the scroll, illustrating the method: " . . . ; the wooden centre vent or scroll wheel being as convenient and cheap as any. This is made by squaring the end of the shaft to six sides, and bolting, or otherwise 140 WATER RIGHTS DETERMINATION attaching a short piece of plank or float to each square, with the outer ends pointing in the direction the wheel is intended to turn. The scroll may be made of four pieces of timber of the proper depth, framed together, with one side falling out from the square, and leaving an opening for the admission of the water, the scroll mark is struck around upon this, cutting a portion of the circle out of each CIIAIK3 ILLUSTRATION FOB A CENTRAL DISCHARGE WHEEL piece, and the corners are filled out to the same line. A bottom and cover are spiked on, each having an opening around the shaft to discharge the water. " The following method of making a scroll is in some respects preferable: Make a square platform of plank for the bottom, a little larger than the outside of the scroll; make a center mark in this at the point which the center of the shaft will occupy; then with a radius or sweep from this center draw a circle to correspond with the outside CENTRAL DISCHARGE WHEELS 141 circumference of the wheel (floats), and from the same center draw another circle about two-thirds of the diameter of the wheel, for the opening for the shaft, and discharge water to pass through. Now mark off the width of the throat for the admission of water, commencing at the circle for the wheel, one side of this throat is the commencement of the scroll, the other side its termination. " To mark out the scroll, make a small wheel, the cir- cumference of which is exactly equal to the width of the throats; the wheel may be tested by measuring round it with a string, the length of which is equal' to the width of the throat, or by making a mark on one side of the throat, and rolling it (the wheel) across the space to the other side. If the mark, when the wheel has made its revolution, comes exactly on the other side mark of the throat, it is right; if it overruns that, the wheel is too large, if it falls short, it is too small. Fasten this wheel upon the center of the bottom, and attach a line or a small wire to the edge of it, stretch the wire tight and fix a scratch point in it at the outside line of the throat, now draw the scratch round, keeping the wire tight, to the place of beginning, and the point will mark the scroll, terminating at the inside. Or, you may wind the wire round the wheel, and begin at the inside to mark, allowing the wire to unwind as you describe the scroll, which in this case will terminate at the outside; for this, like other good rules, will work both ways. " Now lengthen the wire 1.5 or 2 inches, and describe another mark parallel with the first, and cut the space between, out to the depth of .5 or .75 ins. Cut planks of a length equal to the intended depth of the scroll, and circle 142 WATER RIGHTS DETERMINATION them like staves, then fit them into this space all around until the scroll is complete, and lastly, make a top or cover the exact counterpart of the bottom, and place on to these staves, and bolt or otherwise fasten the top and bottom together at each corner, and the curb or scroll will be com- plete. The throat, or opening for the admission of water, is connected by a spout with an opening in the flume, which is covered by a gate inside." These central-discharge wheels acted by impulse. Hav- ing flat buckets, they were not turbines, since a turbine is denned as a wheel with curved buckets (see Turbines). Such central-discharge wooden wheels were used in Martintown, Wis., in the 1860's, and elsewhere in Wis- consin and Illinois, while those now known to have been in use in New York were: A 6-foot wheel at Stone's mill in Dexter, up to 1895 or 1898. Head 9 to 12 feet, throat 14.75 inches wide by 23 inches high, with 6 buckets overhanging or shouldering on the floor 12.25 inches each, the discharge opening being 43.5 inches diameter (Brownell, Binninger, Cook, Whitham). One 52-inch wheel at Hounsfield, in Young's grist mill, head about 10 feet (Binninger, Whitham). One 6-foot wheel at the old pumping station in Water- town, up to about 1885, with throat 16 inches wide by 20 inches high (Salisbury). One 5.5-foot wheel at Adams, with throat 10 inches wide by 20 inches high (Walker). One 5-foot wheel on the Mohawk, throat 10 by 16 inches (Bellinger). One 5.75-foot wheel on Indian river, throat 12 by 18 inches (Dwyer). CENTRAL DISCHARGE WHEELS 143 One 5-foot wheel at Antwerp, throat 12 by 18 inches (Dwyer). One 5.5-foot wheel at Ellisburg, is running in Reed's grist mill, with throat 7 by 20 inches (Babcock). One 4.5-foot wheel with throat 13 by 26 inches, and dis- charge opening 1.5 to 1.66 of the throat (Mansfield). One 4.5-foot wheel, built 1872, at St. Regis Falls, 14 by 18-inch throat (Mansfield). One 4.5-foot wheel, throat 12 by 18 inches, at Champlain Village (Mansfield). Seven 6-foot wheels at Carthage, Harrisville and Croghan, had throats 10 to 12 inches wide by 20 inches high (Galleciez). One 5-foot wheel at Snell & Makepeace's flour mill, Theresa, 1867, with paddles 15 or 16 inches wide, throat 16 inches high, spout 2 feet long with a stab gate 16 by 16 inches, and head of 10 feet, drove smutter and other machin- ery (Snell). One 5-foot wheel of the same dimensions, under a 14-foot head drove the " feed " department of the above mill (Snell). Two of these wheels, 9-foot head, with throats of 300 riuare inches each were in a grist mill in Carthage, from 1840 to about 1880 (Guyot). Four of these wheels, each with throats of 300 square inches, 9-foot head, were in the tannery at Carthage, from 1857 to 1875 (Guyot). " All of the flouring mills on the Oswego river were equipped with what was termed the ' central-discharge, or wooden-scroll wheels,' rated at 20 horse-power; each pair of mill stones was propelled by one of these wheels, and 144 WATER RIGHTS DETERMINATION one or two such wheels for the connecting machinery of a 5-run mill manufacturing about 400 barrels of finished flour per twenty-four hours" (Caseo, 1858). " Where there is a great volume of water an old wooden center-vent wheel will do good work" (J. C. Watson, Hall, N. Y., 1917). Two 5-foot wheels at Hull, Canada, had throats 10 by 20 inches, the bucket boards being 20 inches wide. The discharges were from 2.5 to 3 times the throat areas (Mous- seau). One 6-foot wheel, at Hull, Canada, had a throat 12 by 24 inches, 24-inch buckets, and discharge area 2.5 to 3 times the throat area, or about 3 feet diameter, and con- taining a 15-inch shaft, the head being 16 feet (Mousseau). In 1912, there were two central-discharge wooden wheels operating in a grist mill at Camden, and one 4.5-foot wheel in Caldwell's carriage factory, at Malone, N. Y. (Whitham). These central discharge wheels were designed and built by millwrights who followed general and definite rules, based upon sound hydraulic principles. The scroll was correctly laid out and built with a smooth surface to reduce friction. The spouts were nicely tapered to get a high dis- charge coefficient at the throat. The wheel diameter was made to give the needed speed to its shaft, considering the head, the perimetral speed being about two-thirds of the water's velocity at the throat. The throat, considering the head, was made of area sufficient to give the needed power. The tips of the buckets nicely overlapped the discharge opening, the overlap being sufficient to permit the full opening of throat to face the tips of the buckets. The millwright first ascertained the power needed, and then CENTRAL DISCHAEGE WHEELS 145 the head available. He proportioned the throat to vent the required water, and the wheel's diameter to give the needed shaft speed. The efficiency of the flat-vaned, scroll-cased, central- discharge wheels is given as follows: Robt. E. Horton, in his lecture at Potsdam, N. Y., in 1909, puts the efficiency at 20 per cent, with the best at 50 per cent. F. W. Ormsby, C.E., for several years with the Noye Mfg. Co., manufacturing flour-milling machinery, wheels, etc., and who has tested four of these central-discharge wheels at Oswego, put the efficiency at from 30 to 40 per cent. G. W. Pearson, C.E., ran a milling test in 1877 with a central-discharge wheel having 8 buckets, and 7-foot head, in competition with a Ryther-Jonval and a Curtis turbine, measuring the corn ground by each and the water used. Assuming " 1 horse-power per hour to grind 60 pounds of corn meal" Pearson computed the efficiencies to be, re- spectively, 52, 47.5 and 86 per cent. Had he taken the Curtis efficiency at 75 per cent (which is more likely), then the efficiency of the central-discharge wheel was 45 per cent, as judged by the grinding done. The Author agrees with Mr. Ormsby, and places the effi- ciency of these wheels at from 30 to 40 per cent. As shown on p. 119, the coefficient of discharge through the spout feeding these central-discharge wheels, was about 100 per cent applied to the area of the throat, and the verti- cal head above its center. These wheels were never built with draft tubes. 146 WATER RIGHTS DETERMINATION UNDERSHOT WHEELS The undershot is the outgrowth of the current wheel. Both are built much like a non-feathering paddle wheel of a steamboat, whether a side or a stern-wheeler. The efficiency of a current wheel is given at 15 per cent by Horton and 16 per cent by Neville, or about half of that of an ordinary undershot. It has been shown- on p. 117 that the coefficient of dis- charge through the gate of the undershot varies from 62 to 100 per cent depending upon the form of the aperture, and that, as usually constructed, it is nearly or quite 100 per cent. . The development of the undershot, breast and overshot wheels along scientific lines is largely due to the model experiments in 1752-1753 of that marvelous engineer, John Smeaton. The model used was about 2 feet in diam- eter, yet the " maxims " deduced therefrom, and read before the Royal Society in 1759, stand uncontradicted to-day. It is true that wheel developments on a large scale have somewhat modified Smeaton's recommendations in that his advised perimetral speed was found too slow for com- mercial practice. The rim or perimetral speed of the undershot is given as follows: ■ Banks, Jamieson, Wm. Emerson, Ferguson, Pallett, Mitchell, Neville, Appleton and Abbott, advise that the velocity be 33 per . cent of the spouting velocity of the water under the head at its gate. Smeaton, Weisbach and Lea advise the use of 40 per cent. UNDERSHOT WHEELS 147 Donaldson, Byrne, Scribner, Ferguson, Overman, and Spon advise 50 per cent. Templeton, Byrne and Haswell advise 57 per cent, and Sam, 55 per cent. Grier advocates 67 per cent, and D'Aubuisson 40 to 75 per cent. Evans uses 58 per cent in one of his tables and advises 67 per cent in practice, as does Ellicott. Craik uses 33 per cent for large and 67 per cent for small wheels. Gregory advised 33 to 50 per cent. Rankine gives 50 per cent as the best speed, and designs for 70 per cent at times. Haswell gives a range of from 50 to 60 per cent, advo- cating 57 per cent, as does Cullen. Chambers advocates a rim speed of from 500 to 600 feet per minute or about 10 feet per second. Evans, 1795, cites undershots in flouring mills (Part I, Art. 62), as follows: " 15. Undershot. Velocity of the water 24.3 per second, velocity of the wheel 16.67 feet, more than two-thirds the velocity of the water. Three of these mills (wheels) are in one house, at Richmond, Virginia — they confirm the theory of undershots, being very good mills. " 16. Undershot. Velocity of the water 25.63 feet per second, velocity of the wheel 19.05 feet, being more than two-thirds. Three of these mills (wheels) are in one house, at Petersburg, in Virginia — they are very good mills and confirm the theory." Evans also cites " wheel 6 " as making 16 R.P.M. when loaded and 24 when empty, and four wheels at Ellicott's 148 WATER RIGHTS DETERMINATION Mills, near Baltimore, Md., as making 20 R.P.M. and 40 R.P.M. when loaded, as compared with 28 and 56 respec- tively, when empty or doing no work (1795, Part I, Art. 62). Evans (Part V, p. 17) gives Ellicott's table for under- shots which advocates 24 R.P.M. for a 12-foot wheel, and 25.5 R.P.M. for an 18-foot wheel, or rim speeds of 15 and 24 feet per second, respectively, or two-thirds of the velocity due to the head of water. Evans of 1832 (on p. 154) gives Parkins' design of an undershot where rim speeds are given as high as 26.36 feet per second. The American authors advise high perimetral speeds for undershots, or from 50 to 67 per cent of the spouting velocity of the water due to its head. Bossut, Dr. Young, Byrne, Pallett and others advise that from 3 to 5 buckets, vanes, or floats be in the water at a time, and acted upon by the impinging stream issuing from the wheel's gate. In order to prevent the water from overflowing the floats and wasting, they are to be immersed only One-third of their depth, according to D'Aubuisson (1838, p. 329), Weisbach (1847, Vol. II, p. 213), Overman (p. 193), and One-half of their depth, according to Dr. Young (1807, Vol. I, p. 322), Byrne (1851, p. 327), and Eytlewein (Tred- gold, p. 210). The thickness of the stream of water striking the float is one-third of the depth of the float according to D'Aubuis- son (p. 233), Weisbach (Vol. II, p. 213) and Sam (p. 110), while Rankine (p. 187) gives one-fourth. UNDERSHOT WHEELS 149 The thickness of the stream is to be never less than 6 nor over 10 inches per Spon (Div. 4, p. 1512), Overman (p. 192), and Blaine (p. 110); 4 to 6 inches per Weisbach; and 6 to 9 inches per Fairbairn (pp. 145-147). The radial width or depth of the float or bucket is to be 15 to 18 inches per Haswell (1909, p. 566) ; 10 to 18 inches per Unwin and Blaine (p. 106); 15 to 20 inches per Bresse (p. 23); under 25 inches per D'Aubuisson (p. 333); 12 to 18 inches per Weisbach (Vol. II, p. 213); and 18 to 24 inches per Fairbairn (pp. 147). Undershots are adapted to heads up to 4 feet per Scribner, Drake, Haswell, Pallett, Fairbairn, Byrne, Cullen and others, while Wm. Emerson (p. 198) referred to a grist mill with 16-foot head, and many undershots operated at Car- thage, N. Y., from 1830 to 1850, on 8 and 9-foot heads (Guyot), while the wheels at Ellicott Mills (Evans, Part I, pp. 113, 115) had 11-foot head. Ellicott's table for under- shots driving grist mills (Evans, Part V, p. 17) shows the wheels proportioned for heads of from 8 to 20 feet. Parkin (1815) advised falls from 2 to 9 feet as most advantageous for undershots (Evans, 1832, p. 361). There is no reason, save loss in economy, for restricting the head for an undershot to 4 feet, and that restriction has never held in the United States. The wheel diameter is as great as is possible and never less then seven times the depth of the water as it strikes the wheel per Brewster (Vol. II, p. 147), and he gives (p. 149) Pitot's table for the floats as shown on page 150. Fairbairn states that from 12 to 25 feet is the usual range for the diameter of undershots, that from 12 to 16 feet is more effective, and that in his own practice the wheels have 150 WATER RIGHTS DETERMINATION Wheel Diameteb. Depth op Float Board. Ft. 1 Ft. li Ft. 2 Ft. 10 10 8 7 12 11 9 8 15 12 9 8 18 13 11 9 20 14 11 10 25 16 13 11 30 17 14 12 32 18 14 12 been from 14 to 18 feet, and that the number of floats is 12 + 1.33 X wheel's diameter in feet (pp. 145-147). He also gives diameter = 46\/fan -*■ R.P.M. Rankine makes the diameter of the wheel twice the head unless other conditions control (p. 186). Lea gives 10 to 23 feet as the range of diameter for under- shots (p. 293). Appleton makes the wheel diameter equal to 19.1 Xrim speed in feet per second -s- R.P.M. and the rim speed equal to 2.4 Xthe square root of the head (Vol. II, p. 818). Spon gives the following for the relation of the floats to the wheel's diameter (Div. 4, p. 1513) : Floats. Diameter. Floats. Diameter. Ft. Ft. 28 32 36 13.12 16.4 19.68 40 44 22.97 26.25 UNDERSHOT WHEELS 151 Haswell gives an undershot using 17.5 cubic feet second and 25-foot fall, driving a 1500-pound trip-hammer, lift 12 to 18 inches, and making 100 to 120 blows per minute (1909, p. 571). According to Haswell's rule (on p. 566) the net power developed was 0.00066X17.5 cu.ft.sec. x25-ft. head X60 = 17.4 h.p., or about 32 per cent of the gross horse-power. He states that " The volume of water required for a hammer increases in a much greater ratio than the velocity to be given to it, it being nearly as the cube of the velocity." Guyot gave undershot wheels at Carthage, N. Y., from 1819-1840, as follows: Blast wheel, 25 feet diameter by 6 feet wide, with gate 8 by 72 inches and head 9 feet. Cinder crusher wheel, 14 feet diameter by 5 feet, gate 6 by 60 inches, and head 9 feet. Drop hammer wheel, 6 feet diameter, with gate 150 inches of water, 9-foot head. Axe grinding wheel, 8 feet diameter, 8 feet wide, gate 8 by 96 inches, 9-foot head. Rolls wheel in nail factory, 25 feet diameter by 6 feet wide, gate 8 by 72 inches, 9-foot head. Smeaton built a 27-foot undershot, at 8.5 feet second rim speed for oil mill in 1796, and it moved as regularly as though operating at only 3 feet second (Tredgold, p. 42). Rennie, in 1785, tested an undershot on a 5.5-foot fall, the rim speed being 8.6 feet per second, diameter 15 feet, breadth 3 feet, buckets 15 inches deep, using 40.7 cubic feet second of water, and producing 6.86 effective horse-power at 29.5 per cent wheel efficiency (Beardmore, p. 20). He 152 WATER RIGHTS DETERMINATION tested, also, a wheel with about 4.75-foot fall, 9.05 feet second rim speed, 14 feet diameter by 3.75 feet wide, 14.25 inches depth of float, 5.5 net horse-power, or 22.2 per cent efficiency. Another wheel, 10-foot fall, 18 feet second rim speed, 14 feet diameter by 34 inches face, produced 8.9 net horse-power at 34.5 per cent wheel efficiency (Ibid). Ellicott (Evans, 1895, Part V, p. 11) gives an 18-foot undershot, 3-foot fall, 4 feet width of wheel, 32 floats, 15 inches wide or deep, for a 4-foot stone. The efficiency of undershot wheels in the use of water for power production is given as follows: 10 to 33 per cent, Overman; 31.45 to 33 per cent, Byrne; 35 per cent, Beardmore; 27 to 33 per cent, Drake, D'Aubuis- son, Scribner; 25 to 50 per cent, Trautwine; 40 per cent the limit, Frye; 25 to 35 per cent, Merriman; 25 to 30 per cent, Ormsby; 33 per cent, Brewster, Templeton, Smeat-on, Haswell, Neville; 22.2 to 35 per cent, Rennie's test; 20 to 25 per cent, Ball; 34 per cent, Abbott; 25 per cent, Donaldson; 20 per cent, Eagen's test and Wells; 12.5 to 33 per cent, Craik; 27 to 31 per cent, Franklin Institute Tests; 30 per cent, Horton; 30 to 34 per cent, Cullen; and 33 per cent the limit, Rankine. Example: Given that an old undershot wheel had buckets 18 inches deep, and operated under a head of 9 feet, the gate being close to the wheel and constructed so as to avoid contractions. What was the amount of the water used, and the power produced, the wheel being 20 feet diameter and 10 feet wide? The theoretical velocity due to 9-foot head is 8.02V9 =24.06 feet per second. UNDERSHOT WHEELS 153 The buckets being 18 inches deep, the depth of the stream is one-third, or 6 inches, and its width 10 feet, the breadth of the gate, so that the gate opening was 6 inches X 10 feet = 5 square feet. The theoretical discharge was 5 square feet X 24.06 feet per second velocity, or 120.3 cubic feet per second. If the coefficient of discharge was 95 per cent, then the actual discharge was 0.95x120.3 = 114.3 cubic feet second. The gross horse-power was 114.3 cubic feet X62.5 pounds x9-foot head -e- 550 or 117.08, and at 33 per cent wheel efficiency the net product was 39 horse-power. Smeaton's maxims for the undershot, overshot and breast wheels are 1. The effective head being constant, the power varies with the quantity of water used; 2. The quantity of water being constant, the power varies directly with the effective head; 3. The quantity of water being constant, the power varies as the square of its velocity; 4. The aperture being constant, the power varies as the cube of the water's velocity. PONCELET UNDERSHOT WHEELS The Poncelet undershot will not be discussed here as it was never in extensive use in America, and can be studied by reference to the old books. The principles governing the undershot apply to the Poncelet. It was used on heads of 6 feet and under; had 154 WATER RIGHTS DETERMINATION rim speeds equal to about half of the water's velocity; was fed through a gate with contractions practically suppressed; had efficiencies of from 40 to 65 per cent, or much higher than the wooden undershot, and about the same as breast wheels; and differed from the simpler undershot in that its buckets were made of metal and curved. OVERSHOT WHEELS It has been shown on p. 117 that the coefficient of dis- charge of the gate at the overshot wheel varies from 62 to 100 per cent, and is usually much nearer, or quite, the upper than the lower limit. The perimetral or rim speed of overshots is given as follows: 67 per cent of the speed of the water per Evans, Ellicott, Byrne, and Templeton; 55 per cent per Weisbach; 50 per cent per Drake; 50 to 60 per cent per Haswell; 33 to 50 per cent per Ferguson; or, expressed otherwise: 6.5 to 8.5 feet per second per Byrne; 6 feet, Scribner; 3, 5, 6.5 and 8 feet per Haswell; 2.5 to 10 feet per Weisbach; 3 to 4 feet per Pallett, " is proper " (p. 217), while 9.17 feet is " to the best advantage " (p. 221); 6 feet per Donaldson and Drake; 5.25 to 6.9 feet, Brewster; 2 to 4 feet, Grier; 6 feet for 30-foot wheel, 8.2 feet for 50-foot wheel, per Glynn; 5 feet, Leonard; 4.5 to 8 feet per Rankine; and 5 to 7.5 feet per second per Chambers. Smeaton recommended 6 feet for 24-foot wheel. Evans, Edition 1795 (Part I, pp. 108, 109), gives the following examples of overshots: OVERSHOT WHEELS 155 Velocity of Rim Speed Place. Water, Ft. Ft. per Remarks. per Sec. Sec. 12.90 8.20 " Wheel received the water well." Stanton, Del 11.17 7.44 " Received the water pretty well." Brandywine, Del . 12.16 10.20 " Throws out great part of the water by the back of the buckets." Brandywine, Del. 14.40 9.30 " It receives the water very well." Bush, Md 15.79 7.80 "... ran too slowly ..." Bush, Md 14.96 8.80 " Wheel runs best when head is sunk a little." Alexandria, Va. . . 16.20 9.10 " The wheel receives the water well." 11.40 10.96 " Backs of the buckets strike the water, and drive a great part over." Evans, 1895 (part V, p. 19), gives 550 feet per minute, or 9.17 feet per second as recommended by millwright Ellicott. On p. 78 of Part I, Evans, 1795, is recommended the following overshot table: Wheel Diam., ' Ft. Rim Speed, Ft. Sec. Head above the Wheel, Ft. Add for Friction of Aperture, etc., Ft. Total Head onto Wheel, Ft. R.P.M. 10 6.92 1.64 0.1 1.74 13 12 7.57 2.00 .2 2.20 12 14 8.19 2.34 .4 2.74 11.17 16 8.76 2.68 .6 3.28 10.4 20 9.78 3.34 1.0 4.34 9.3 25 10.95 4.20 1.25 5.45 8.3 30 11.99 4.90 1.5 6.4 7.63 Evans, making the rim speed 67 per cent of the water velocity at the wheel's gate, adds to the head theoretically needed to produce that velocity as follows to provide for 156 "WATER RIGHTS DETERMINATION " friction " in getting the stream onto the wheel, and the total " head " above the wheel: 0.1 foot for wheels of from 9 to 12 feet diameter, and 0.1 foot more for every foot increase in diameter for wheels from 12 to 20 feet diameter, and 0.5 foot more for every foot increase in diameter for wheels from 20 to 30 feet diameter. Thus for a wheel 24 feet diameter, add to the theoretical head, to get the " head " onto the wheel, 0.1 for 12 feet +0.1 X (20 -12) +0.05 X (24 -20) =1.1 feet (Evans, 1895, Part II, pp. 25-26). This rule is imperfectly quoted, without credit, by Tem- pleton (1852, p. 98). Craik (1870, p. 105), " many years since," built a large overshot for 9 feet rim speed per second, with a variable " head " of 4 feet and less, " which we have never been able to beat since." The larger the wheel the faster its rim speed. Weisbach's discussion of rim speeds of overshots in feet per second, as given in Vol. II, pp. 192, 193, is digested as follows: 2.1 feet second for Smeaton's wheel model, 75 inches circumference, in 1752, 1753. 5 feet second is " more suitable " (p. 172). 10 feet second is found in " many wheels " (p. 172). 9.25 feet second, D'Aubuisson's test of 32-foot wheel. 14.3 feet second, Weisbach's test of 22.75-foot wheel, 3 feet wide, 48 buckets. 9.13 feet second, wheel used for pumping and hoisting. 5 feet second, 10.6-foot wheel, 30 buckets, Morin's test. 5 feet second, 13-foot wheel, Morin's test. OVERSHOT WHEELS 157 6 feet second recommended by Morin for wheels undei 6 feet diameter and 8 feet second for wheels over 6.5 feet diameter. 7.5 feet second in tests of Exwood Morris showed nearly the same efficiency as when the speed was 4.5 feet per second, and 6 to 8 feet second speed of overshot's rim was recom- mended by Morris. Enough has been shown to indicate that the low rim speeds, recommended by early English writers, are not representative of American practice; that speeds of 8 to 10 feet per second are desirable except for very small wheels; and that the speed permissible is somewhat controlled by the number and dis- position of the buckets. No one owning a large, expensive overshot would materially cut down the power capacity, and increase the percentage of gearing losses, in order to gain a slight increase in the efficiency. These conclusions, from American practice, are sustained by Bach's "Die Wasserrader" translated by Prof. Weidner of the University of Wis., and supplemented by Weidner's tests of a Fitz steel overshot wheel, as given in the University Bulletins 529 and 520, respectively (in 1913). It is to be noted that the following conclusion of Bach is based upon modern overshots with curved buckets and relatively small fractional losses in the wheel's bearings: Page 143, " The chief conclusion ... is that high peripheral velocities of the wheel do not cause such large losses at exit as was supposed. Experiments of the Author (Bach) confirm this result. Page 179, " We see from this that, with a rational 158 WATER RIGHTS DETERMINATION design, the higher peripheral velocities do not cause such a marked decrease in the efficiency as is generally supposed. Page 165, "A general rule for the value of v (the rim speed of the wheel) can not be given. It is a matter for the designing engineer to decide upon, after considering all the conditions, including the character of the plant which the wheel is to operate. The value v = 5 feet (per second), which is often found in the "literature on this subject, must be considered inadmissible; 5 feet is too small in the majority of cases." In studying the heads for overshot and breast wheels it is necessary to separate the total head or fall at the wheel into two parts, viz.: The "head," which represents the vertical fall above the wheel, and the " fall " which is generally identical with the wheel's diameter. Hence the origin of the term " head and fall." The " head " is actually the vertical distance from the water in the flume, at the sluice or wheel's gate, down to the center of the gate's aperture. There is also a fall from this aperture down into the wheel's bucket, but, since the receiving bucket is beyond the verti- cal center line of the overshot wheel, this small fall is comprehended in the " fall " when the latter is considered equal to the wheel diameter. The " head and fall " for an overshot is actually less than the total fall or head at the wheel, as the wheel must hang above the tail waters. A ponderous overshot can not well be hoisted every time the tail water level rises, and, accordingly, its setting is stationary. The " head " above the wheel is only partially available for power purposes. The allowance for " head " to be added OVERSHOT WHEELS 159 to the " fall " to get the effective head for power with over- shots is as follows: Leonard ignores the " head " entirely, calling the effective head or fall simply the wheel's diameter (1848, pp. 24, 25). Scribner calls the diameter the fall which is effective in power computations (p. 155). Haswell calls the effective head or fall the distance from the center of the opening in the sluice gate down to the tail water (1909, p. 565), and on p. 563 he calls the effective fall as | head +f all. This last rule of Haswell, or f head+fall, as being effective, is endorsed by Appleton, while Evans, Templeton, Cullen and others use \ head +f all, as representing the head or fall effective for power making. The Author adopts "§ head+wheel diameter" as the effective head and fall for overshots, as it is manifest that the clearance between the wheel and the tail water is never utilized for power. There is much force in the argument of. many that only the diameter can be considered as effective. We next discuss the efficiency of overshot wheels as given by the old writers, and must remember that, in most instances, no mention is made of the effective head used, so that it does not generally appear which of the following was adopted: I head+fall; \ head + fall; Head+fall; \ head + diameter; \ head+diameter; 160 WATER RIGHTS DETERMINATION Diameter of wheel; Total head +fall; Center of sluice opening to tail level, or Center of sluice to bottom of wheel. With turbines the efficiency is based on the actual differ- ence of level between the head and tail waters at the wheel when in operation. Why should any other rule be followed for an overshot? It is necessary to remember that the methods for measur- ing the water and the resulting power were not as exact in the old days as now, so that the old efficiencies must not be taken too seriously. If engineers and millwrights knew more about the circumstances attending the efficiency calculations for old tests of overshots, their notion as to the superiority of that wheel would be modified. The superi- ority of the overshot over all other wheels except turbines is shown and accepted, and its superiority in economy over many of the earlier turbines is conceded. Its high economy at low and non-commercial speeds is recognized. Its very high efficiency in actual, commercial, every-day mill work is properly doubted. These comments do not hold for the modern steel overshot, with curved buckets — whose very high efficiency is clearly established, but, rather, apply to the old wooden overshots with elbow buckets. No one will deny that the efficiency of overshots at restricted gates, i.e., when using only part quantity, is nearly as high as when fully supplied with water, and this can not be said to hold for turbines. The literature relating to the efficiency of Overshot Wheels is here summarized: OVERSHOT WHEELS 161 Author. Date. Efficiencies. Smeaton 1752-3 67% with model 2 ft. diameter. 2.67 times the undershot's efficiency. 1.75 times the undershot's efficiency. 1.4 times the breast's efficiency. Borda Evans * 1795 1.08 times the pitchback's efficiency. 1806 2.6 times the undershot's efficiency. 2.4 times the undershot's efficiency. 1.75 times the breast's efficiency. Brewster 1806 67 to 80% Less than 50% for 16-ft. wheel, 20-ft. fall. 80% Parkin * 1815 Jamieson 1827 Franklin Insti.*. . . 1829 67 to 82% on 10-ft. wheels. 75 to 84% on lS.-ft. wheels. 80% with the best large wheels. Elbow buckets are most efficient. Abbott * 1835 68% 69%, wheel 7.47 ft. diameter. 65%, wheel 10.6 ft. diameter. Morin 1836 25 to 60%, wheel 13 ft. diameter. Jamieson 1836 2.5 times the undershot's efficiency. 70% in general, 77% on Mallett's test. 1838 Weisbach 1848 25 to 80% on tests; range 65 to 84%. 78% on test by Weisbach. 80% for 35-ft. wheel or larger. Small wheels are less efficient, than large. Leonard * 1848 65% in general. 48% for 9-ft. wheel; 62%, 14 ft. 77% for 30-ft wheel. Hebert 1848 1851 67%, or double the undershot. Byrne 62.9 to 66% based on the entire fall. 80% based on the diameter only. Double the undershot's efficiency. Highest with small "heads" and big "falls." Overman 1851 70% is the limit; range 20 to 70%. 65% with curved buckets. 1852 67% 1854 2.6 times the undershot's efficiency. 1854 66% Fairbairn 1859 73.3% for good wheel. Rankine 1859 66 to 80% Neville 1860 67% * Denotes American writers. 162 WATER RIGHTS DETERMINATION Author. Date. Efficiencies. Beardmore 1862 64.8%; 60 to 65% range. Wells * 1869 60% Cullen 1871 73% 75% on the average; range 75 to 80% 60%, fair allowance. Spon 1871 Chambers 1872 70%, doubtful if ever obtained. 75%, highest ever mentioned. 1876 75% Scribner * 1878 66% based on total fall. 60 to 80%. Drake * 1879 66%, range 60 to 80% 65% is the best. Cope* 1882 1885 73 to 80% 85 per cent is a safe estimate. 67% is the limit. 1887 Emerson * 1894 Blaine * 1897 60 to 75% 1904 Holliwell 1904 1907 66% Trautwine * 67 to 75% Horton * 1909 60%, best 85% 66% generally; 60 to 68% range. 75% for speed of 3 ft. per second. Haswell * 1909 .70% for speed of 6} ft. per second. 1911 60 to 88% Fitz * 1912 60 to 75% for wooden wheels. 1913 15 to 25% is lost in the gearing. Frye * 1913 75% is the limit. * Denotes American writers. "It is unfortunate for the world's progress that the records and conditions of failures are seldom made known. The record of a failure, while of great value from an educa- tional standpoint, may considerably injure the reputation of an engineer or manufacturer, and consequently results of tests and experiments, unless fully satisfactory, are seldom published or known except by those closely interested. For this reason, the published tests of water wheels usually repre- sent the most successful work of the maker and the best prac- OVERSHOT WHEELS 163 tical results he has been able to secure" (Meade, p. 369). This comment applies to turbines and to all other forms of water wheels. In every-day mill work the commercial efficiency of a wooden overshot with elbow buckets, operating at about 9 feet rim speed per second, is about 65 per cent although it may go to 75 per cent if the " head " is small, relatively to the diameter, with a reduction in rim speed, and the work done by the wheel is correspondingly curtailed. This observation relates to the power produced on the wheel's shaft, and does not include transmission losses. Overshots are adapted to combined heads and falls as follows : Trump, Risdon and Alcott state that overshots are sel- dom used on falls under from 15 to 20 feet, and give a 16-foot wheel diameter for a total 20-foot head and fall. Drake, Byrne and others give the overshot as available for heads and fall of 10 feet and upwards. Appleton gives 28 inches " head " for wheels of 13 to 20 feet diameter. Leonard makes the wheel diameter 3 feet less than the head and fall. Weisbach gives overshots ranging from 8 to 64 feet diameter. It is generally understood that the heads and falls for which wheels are adapted are Undershots, 4 or 5 feet and under; Breast wheels, 4 or 5 to 10 feet; and Overshots, 10 feet and upwards; although undershots are built for falls of at least 16 feet, breasts are seldom built for falls exceeding 10 feet, and over- shots are sometimes used on heads below 10 feet. 164 WATER RIGHTS DETERMINATION The following are examples of overshots: The "Old Town Grist Mill," on Briggs brook, in the heart of New London, Conn., built in 1650, and continuously operated down to after 1914, has an 18-foot overshot 6 feet clear width, with 48 elbow buckets, each 16 inches deep. This mill has 2 runs of granite stones and a corn cracker or crusher. It grinds rye and corn meal, feed, graham, cracked corn, cob-meal, provender, etc. The 20-horse- power wheel operates the 2 stones, or one stone and the corn cracker at a time (R. C. Smith). The Bullington Mill, Axton, Va., has a 12-foot overshot, 5-foot face, operating a buhr flour mill, the wheel buckets being two-thirds filled ("Mill. Rev."). The old Hampton grist mill, near Towson, Md., on Peterson creek, a colonial mill operating until about 1910, had two 15.5 feet overshots, one 4-foot 10 inches, and the other 5 feet 6.5 inches clear width, the former with 9 inches and the latter 8 inches elbow buckets, 27 inches " head " on each, operating two runs of 4-foot stones and accompany- ing machinery, and producing a combined 39.2 horse-power (Whitham). The old Poge mills on Back Creek, near Roanoke, Va., had (1913) two old overshots as follows: One 18 feet diameter and 5-foot face, 10-inch elbow buckets, 3-foot head, 32.7 horse-power, drove two runs of 4-foot buhr stones, etc., in a grist mill. The other was 15 feet diameter and 6.5-foot face, 10- inch buckets, 30-inch head, 32.4 horse-power, and operated a 48-inch circular saw and log carriage in a country saw mill (Whitham). The old Haxall buhr mills at Richmond, Va., operated OVERSHOT WHEELS 165 six 18-foot overshots, 12 feet net width, under a " head " of 4 feet, each with gates 12 feet by 4 inches usual lift, with contractions nearly suppressed and produced about 550 net horse-power on the wheel shafts. The mill made 1200 barrels of flour per day, or 45.8 horse-power per 100 barrels. It had 20 runs of 3.5 and 20 of 4-foot buhrs, operating on the gradual reduction system just before the advent of the roller process (W. S. Lockett). The old Gallego mill in Richmond, Va., famous in the West India trade, was built in 1789 under Oliver Evans' design, and had, in 1887, 23 runs of 5.5-foot buhrs operating at 140 R.P.M., some being used on middlings. The mill operated by three overshots, each 32 feet diameter by 12 feet effective width. The three gates were each 12 feet wide and lifted, in ordinary mill operation, 4 inches. They were constructed for a discharge coefficient of 90 per cent. The elbow buckets were 12 inches deep. The wheels pro- duced about 530 horse-power. The capacity of the mill was 1500 barrels of flour daily. The power per 100 barrels daily, including transmission, was about 35.3 horse-power. The power per run was 23 horse-power, but some of these runs were on middlings (W. S. Lockett). The old Knox mill at Fredericksburg, Va., had three 16-foot overshots on a 20-foot head and fail. Two were 11 feet and one 15 feet net width. The elbow buckets were 17 inches deep and spaced 19 inches on the perimeter (Whitham). The Henry Burden overshot at Troy, N. Y., was built in 1838 to operate a rolling mill and machine shop. It was 60 feet diameter by 22 feet net width, with buckets only 6 inches deep. It made from 1.5 to 2 R.P.M. and about 166 WATER RIGHTS DETERMINATION 600 horse-power, drawing its supply from the Wynantskill ("Engr. Rec," Vol. LXXI, No. 24). The overshot at Cyfarthfa Iron Works, in South Wales, was 50 feet diameter by 6 feet wide, with 156 buckets. It made 2.5 R.P.M. and was built in 1800 for blowing fur- naces (Glynn, p. 83). Donkin, of London, built a 76.5-foot overshot, 2-foot face, 160 buckets, 30 horse-power, and also one 80 feet diameter by 8-foot face (Glynn, p. 84). The Newlin flour mill on Fishkill creek, N. Y., is given by Haswell (1854, p. 179, and Scribner, p. 160), as producing 5 barrels, with three 4.5-foot buhr stones, at 130 R.P.M., and elevating 400 bushels of grain 36 feet per hour, with an overshot 22 feet diameter by 8-foot face, the gate being 80 inches wide and lifted 1.75 inches. The wheel had 52 buckets, 12 inches deep, and made 3.5 R.P.M. or 4 feet per second rim speed. The head on the gate was 2.07 feet. The Peter Townsend furnace, Monroe, N. J., had one 24-foot overshot, 6 feet wide, with 70 buckets, 14 inches deep. The stream of water was 0.75 by 51 inches, under a head of 6.5 feet. The wheel made 4.5 R.P.M. (Haswell, 1854, p. 179). A ilour mill in Richmond, Va., had five 18 by 14.5- foot overshot wheels, 15 inches depth of buckets, 2.5-foot head of water, gate opening per wheel 2.5 inches by 14 feet to produce 30 barrels of flour per hour (Haswell, 1854, p. 304). Other overshot wheels in mills at this present time are: 12 feet diameter by 9.5-foot face at Wannamaker's grist mill, Kresgeville, Pa. OVERSHOT WHEELS 167 17 feet diameter by 4-foot face at Yingling's grist and saw mill, Pleasant Valley, Md. 24 feet diameter by 3-foot face at Meyer's roller mill, Logantown, Pa. 24 feet diameter by 5-foot face at Tissue Paper Mill, Beaver Valley, Pa. The buckets of an overshot wheel should not be so filled as to waste Water until it has performed all the work possible. The buckets of such overshots as were in general use in 1790 to 1860 were built of wood and of the elbow pattern, as shown by the old writers, and as found to-day in remote localities. The percentage of bucket filling is given by the various writers as follows: 33 per cent per Haswell (1909, p. 564) and Pallett (1866, p. 218). 33 to 50 per cent per Fairbairn (1859, p. 144). 50 per cent per Appleton (1852, Vol. I, p. 834), and Weid- ner (p. 127). who says: " Variations in the discbarge within reasonable limits, so that the coefficient of filling does not exceed approximately one-half, has little, if any, effect on the wheel efficiency." 64 per cent per Scribner (p. 157). 67 per cent per Glynn (1885, p. 131) ; Fairbairn (1859, p. 121), who said, "... in general it is not advisable that the buckets should ever be more than two-thirds filled with the average supply of water "; and per Rankine (1859, p. 182), Brewster (1806, Vol. II, p. 193), Grier (1842, p. 205), and the Bullington Mill at Axton, Va. ("Mill. Rev.," Oct., 1915). Haswell (1909, p. 564) advises shallow buckets, recom- 168 WATER RIGHTS DETERMINATION mending 10 to 12 inches depth, and 15 inches at times, and a great number of small ones (p. 563). Blaine advises 10 to 18 inches depth of buckets, which is their perimetral spacing also. D'Aubuisson advised buckets as follows (p. 371) : Diameter, Ft. No. of Buckets. Diameter, Ft. No. of Buckets. 9.84 13.12 16.40 19.69 24 36 44 56 26.25 32.81 39.37 76 96 108 In this connection D'Aubuisson made the buckets 1.049 feet apart on the perimeter, and 0.984 feet deep, elbow shape. Appleton (Vol. II, p. 797) advises: Diameter, Ft. No. of Buckets. Diameter, Ft. No. of Buckets. 12 24 32 72 17 36 38 84 21 44 40 92 25 52 42 96 28 60 46 108 Spon (Div. 5, pp. 1912, 1913) advises 16-inch bucket depth and the same for the perimetral spacing; 6 to 8 inches thickness of the stream of water approaching the buckets; and " heads " for total heads and falls as follows: Feet. 24-inch " head " for total head and fall of 10 -13 . 33 28-inch " head " for total head and fall of 13.33-20 32-inch " head " for total head and fall of 20 -23 .33 36-inch " head " for total head and fall of 23.33-26.67 A OVERSHOT WHEELS 169 Rankine (p. 182) makes the bucket depth range from 12 to 21 inches, with 15 inches usually. The quantity of water which an overshot can use is given by Rankine (p. 182) as follows: Q =0.67 uLb\l -~], in which Q = cubic feet of water per second; u =rim or perimetral speed in feet per second; L = clear length of bucket in feet (axially); r= radius of the wheel in feet; b = radial depth of the elbow bucket in feet. Example: Wheel 16 feet diameter, or r =8 feet. Rim speed 9.1 feet second =u. The clear length of a bucket or width of the face of the wheel = 15 feet =L. The depth of the bucket, b = 17 inches = 1.42 feet. Then Q =0.67 X9.1 X15 Xl.42 x [l -^1 = 117.4 cu.ft.sec. If the " head " above this wheel is 4 feet, and the sluice gate is 15 feet wide with 90 per cent discharge coefficient, then the gate lift to supply the needed water is found as follows : Q = 117.4 =0.90 X 15 ft. wide Xlift of gate X8.02 V4-ft. head, whence lift =0.54 feet, or about 6.5 inches. In this example the effective head and fall is f of the 4-foot head+the 16-foot wheel diameter = 18 feet. Calling the efficiency 67 per cent, the net power was 117.4 cubic feet second X62.5 pounds per cubic foot X 18-foot head and fall X 67 per cent efficiency -7-550 = 160. 170 WATER RIGHTS DETERMINATION Pitch-back wheels are overshots having the water flume and gate approaching from the side in which the water is laid onto the wheel, rather than having the water brought over the top of the wheel. For that reason it sometimes occurs that the diameter of the pitch-back is equal to or greater than the combined head and fall. The speed, dis- charge coefficients of gates, and efficiencies of the pitch- back and overshot are almost identical, as is also their bucket design. Rankine makes his rule, just given, for the amount of water used by overshots apply also to pitch-back and breast wheels. BREAST WHEELS It has been stated on p. 163 that breast wheels are gener- ally adapted to heads of from 4 to 10 feet. When the water enters the buckets at about the elevation of the shaft it is termed a " breast wheel "; when the entrance is below that elevation the wheel is termed a " low-breast "; and when the water is received above the elevation of the shaft, the wheel is termed a " high-breast." The forms of breast wheels, like overshots, have a " head " and a " fall," and the " head " acts by impulse upon the buckets (as with the undershot), while the " fall " acts by gravity (as with the overshot). Hence the breast wheel is said to be a combination of the under and the overshots, and to be suited to the heads and falls inter- mediate between those specially suited for their uses. The breast wheel has its weighted portion built in a curb BREAST WHEELS 171 or concave, concentric with its axis, so as to hold the water in the buckets until the water reaches the tail level. The coefficient of discharge for the gate of the breast wheel is almost or quite 100 per cent, as the contraction is generally suppressed, and the stream can fall freely into the empty buckets one at a time. Ferguson advises that the rim or perimetral speed be from 33 to 50 per cent of the velocity of the water at the gate; Grier, 43 per cent; Evans, 58 per cent plus the accel- eration due to the fall between the gate and empty bucket; Rankine, 50 per cent; Haswell, 50 to 60 per cent; while Byrne and Templeton advise 67 per cent. Fairbairn recommends a rim speed of from 3| to 7 feet per second; Leonard and Weisbach, 5 feet; Donaldson, 6 feet; Cullen, 6 to 8 feet; and Rankine from 6 to 12 feet. The rim speeds of breasts and overshots are about the same, or around 9 feet per second in American practice. The effective head and fall, as for overshots, is given as I of the head+the fall, according to Haswell and Appleton; and I of the head+the fall, according to Evans, Cullen and others. The Author recommends \ head +f all as being effective, the " head " and " fall " meaning as discussed on p. 181. Breast-wheel efficiencies are given as follows: Jamieson 1827 50 to 60% wheel efficiency Beardmore 1862 55% Scribner 1878 45 to 50% Haswell 1909 45 to 65% 60 to 68% for high-breasts. Frye 1915 60 to 65% Merriman 1914 60 to 88% Trautwine 1910 50% Ormsby 1851 50% Pallett 1866 Half that of overshot. 172 WATER RIGHTS DETERMINATION Hughes 1851 Half that of Jonval turbine. Drake 1879 45 to 50% Ferguson 1806 Less than that for an overshot Templeton 1852 50% Overman 1851 40% is the limit. 22 to 60% range. Leonard 1842 48 to 77% Byrne 1851 67% Neville 1863 50% average efficiency. Abbott 1835 52% Fairbairn 1864 75% for high-breast. Weisbach 1848 53 to 65% per Elwood Morris. 60 to 69% per Morin. 48 to 52% per Eagen. 52 to 80% per Mulhouse. 57 to 63% per Franklin Inst. Moore 1880 50% Holliwell 1904 60% It is evident that the efficiency will vary with the type of the breast wheel, being but little better than an undershot for " low-breasts," or about 35 to 40 per cent; 45 to 55 per cent for the ordinary " breast " wheel; and 60 to nearly 65 per cent for " high-breasts " — which closely approach the " pitch-back " wheel. Evans, 1795 (Part II, p. 20), suggested the following breast wheel for a run of 5-foot stones: Wheel diameter, 15 feet; 10-foot total fall divided into a 6.2-foot " head " and a 3.8 foot " fall "; £x6.2+3.8 =6.9 feet effective head and fall; 20.16 feet second water velocity for 6.2-foot head; 20.16x0.577 = 13.07 feet second rim speed of the wheel, corresponding to 16.6 R.P.M. of the 15-foot wheel; stone and wheel geared 6 to 1; stone at 99.6 R.P.M. ; 16.2 cubic feet second of water needed; and canal or head race section 10.8 square feet, or canal velocity 1.5 feet per second. BREAST WHEELS 173 Evans, 1795 (Part V, p. 18), gave millwright Ellicott's views of breast wheels for a run of stone as follows: Eight-foot head and fall for a low-breast wheel of 18 feet diameter, with 56 buckets, the face or width of the wheel being 9 inches for each foot of the stone's diameter; and 12- foot head and fall for a " middling " breast wheel, 18 feet diameter, having 8 inches width for each foot of the stone's diameter; and 3-foot head plus 10-foot fall for a high- breast wheel, 16 feet diameter, 48 buckets, and 7 inches of width for each foot of diameter of the stone. Brewster, 1806, advised a 20-foot wheel for a 10-foot head and fall. Glynn, p. 93, gives a breast wheel at the Belper cotton mill, 12.5 diameter, 43 feet wide, 24 floats. Fairbairn found that the relation between the cubic feet of contents of a bucket and the square feet of entrance to the bucket for water should be in the ratio of 4.8 to 1 for breast wheels; but when the breast wheel receives the water 10 or 12 degrees above the center, the ratio is 3 to 1 ; while the depth of the bucket is about three times the net width of the opening between the lips of the buckets (Glynn, p. 94). The old 1822 breast wheels at the Fairmount water works of Philadelphia were One 15 feet diameter X 15 feet wide, under 1-foot head and 7-foot fall, 11.5 R.P.M. Two 16 feet diameter X 15 feet wide, under 1-foot head and 7.5-foot fall, 13 R.P.M. The wheels stopped an average of sixty-four hours per month due to the back water exceeding 16 inches. They 174 WATER RIGHTS DETERMINATION were replaced by Jonval turbines in 1849 which had nearly twice the efficiency (Report of 1853). Fairbairn constructed the following breast wheels (Beardmore, p. 19). Fall, Ft. Cu.ft.sec. of Water. Diameter of Wheel, Ft. Breadth of Wheel, Ft. Bucket Depth, In. Rim Speed, Ft. sec. 10 18 16 16 16 16 15.5 18 21 20 18 14.8 17.5 22 24 21 20 21 20 5 66 9 7.83 116 6 41 9.5 8 45 5.5 6.25 5 54 8 Emerson (1894, p. 72) tested a breast wheel 16 feet diam- eter by 13 feet wide, with buckets 18 inches deep, the head and fall being 12 feet. It produced 28.08 horse-power. Haswell (1854, p. 179) gives a 24-foot 4-inch high-breast wheel, 20 feet 9 inches wide, with 70 buckets, 15.75 inches deep, at 4.5 R.P.M. driving the Rocky Glen cotton factory at Fishkill, N. Yi The mill had 6144 self-acting mule spindles, 160 looms on 27-inch print cloths, made of No. 33 yarn (33 hanks per pound) and produced 24,000 hanks in eleven hours. The total head and fall was 20 feet, of which the " fall " was 16 feet. At Carthage, N. Y., a 10-foot breast wheel, 3.5 feet wide, with the head and fall about 9 feet, the " fall " being 7 feet, with the gate opening 42 by 8 inches and 2-foot " head," drove a blast for an axe factory (Guyot). At New Hope, Pa., are low-breast wheels lifting water from the Delaware river into the Lehigh canal during seasons of low flow (Whitham, 1918). Byrne (1851, p. 328) gives a breast wheel table (here abbreviated) as follows : BREAST WHEELS 175 Bead and Floats. Diameter of Wheel, Ft. Fall, Ft. Breadth, Ft. Depth, Ft. Ft. sec. 4 6 8 10 0.69 1.03 1.37 1.71 6.20 2.25 1.10 0.77 6.02 9.02 12.04 15.04 4.36 5.35 6.17 6.90 Blaine (p. 107) advised buckets to be spaced 5 to 8 inches for high, and 9 to 12 inches for low-breast wheels. Rankine gives the rule quoted on p. 169 for the water used by either breast or overshot wheels. Haswell (1909, p. 568) makes the distance between two buckets from 1.3 to 1.5 times the " head " over the gate for wheels of low velocity, and more for higher speeds, and the depth of the buckets from 10 to 15 inches. The depth of the stream of water admitted to the buckets is nearly equal to their spacings. The wheel is speeded to have the buckets from 50 to 63 per cent filled. Rankine makes the bucket fill 67 per cent. Elwood Morris on the tests of a 20-foot breast wheel for the Franklin Institute in 1829-30 found: Fall, Ft. Efficiency with Head, Ft. Elbow Buckets, Per Cent. Radial Buckets, Per Cent. 0.75 17.00 73.1 65.3 13.67 65.8 62.8 4.29 10.96 54.4 32.9 2.00 7.00 62.0 53.1 1.00 3.67 55.5 53.3 The leakage of water between the breast wheel and its curb is from 10 to 15 per cent according to Haswell (1909, p. 569). 176 WATER RIGHTS DETERMINATION TURBINE WHEELS " A turbine is a motor for utilizing the energy of the water by causing it to flow through curved buckets or channels on which it exerts a reactionary pressure constituting the motive force. " As distinguished from a water wheel, in the older and narrower sense of the word, a turbine may be defined as a water wheel in which a motion of the water relatively. to the bucket is essential to its action. "A turbine consists essentially of a ring, or a pair of rings, to which are attached curved vanes arranged uniformly round the circumference revolving on a shaft or spindle to which the ring or pair of rings is connected by a boss and arms, or by other suitable means " (Bodmer, 3d Ed., p. 24. See, also, Knight, III, 2256; Innes, 3d Ed., p. 37; Rankine, art. 171; Sam, p. Ill, etc.). " A turbine may be defined as a water wheel in which the water is admitted to all the vanes or buckets simultaneously. It is thus distinguished from vertical water wheels, which receive the water at the top or one side only, and from impulse wheels, which receive a spouting jet or jets from nozzles directed tangentially against the perimeter of the wheel. " The component parts of a turbine are the ' runner,' the ' case,' the ' gate ' or ' gates/ and the ' guides.' Com- monly the gates and guides are included in the ' case.' The runner is that portion of the turbine which revolves. It comprises the vanes, the crown plate, partition plates or rim bands, which cover, sub-divide, or strengthen the vanes, and the power shaft. The term ' bucket ' is applied to the TURBINE WHEELS 177 passage for the water in the runner. The vanes or floats are the partitions separating the buckets and forming the runner. The term ' buckets ' is also often used to signify the vanes. The ' chutes ' are the openings through which the water passes into the wheel, and the ' guides ' are the partitions separating the chutes. The gates serve to shut off and regulate the supply. " The flow of water through a turbine may be directed either radially inward or outward or parallel to the axis, or inward and parallel, or inward, parallel, and outward. The representative type of these several classes: " Tangential flow: Barker's mill. " Parallel flow: Jonval turbine. " Radial outward flow: Fourneyron turbine. " Radial inward flow: Thompson vortex turbine; Francis turbine. " Inward and downward flow: central-discharge scroll wheels and earlier American type of wheels; Swain turbine. " Inward, downward, and outward flow: American type of turbine" (Horton's "W. S. and I. P.," No. 180, p. 9). Segner, of Gottingen, and, more recently, Euler, in 1752, made a study of reaction wheels. Euler's studies led to the construction in 1754 of a turbine, much like the later Fontaine, and set up many of them with improvements (Bresse, p. 69). Oliver Evans showed a model of his reaction wheel to the Legislature of Maryland in 1786 and obtained a patent therefrom, and he observed in 1795 that Rumsey in Europe had then obtained a patent for a similar one (Evans, II, 34). Benj. Tyler obtained a turbine patent in the United Stages in 1804, and this is quoted in full by Emerson in his 178 WATER RIGHTS DETERMINATION 1894 edition. Ephriam Hubble also obtained a U. S. patent in 1808. Abroad there seems to have been but little turbine activity after Euler's time until Burdin constructed his reaction turbine in 1824, after the Euler type. Fourney- ron, inspired by Burdin, brought out his well-known design (Bresse, p. 69) in 1827, in France (" W. S. & I. P.," 180, p. 10). Poncelet's turbine was brought out in 1826, Parker's in the U. S. in 1828, Wing's in the U. S. in 1830, St. Blaisen's and Jonval, in 1837, S. B. Howd's in the U. S. in 1837, Parker's 2d design in. 1840, Boyden's in 1844, Jagger's in 1852, Alonzo Warren's in 1853, John Tyler's in 1855, A. M. Swain's in 1855 and 1862, American in 1859, Leffel's in 1866, Wemple's or Lesner's in 1871, Victor's in 1872, Bisdon in 1874, Helmer or Rome in 1876, etc. Besides these there were very many other turbine designs in this country between 1840 and 1860, as is well noted in Francis' " Lowell Hydraulic Experiments," edition of 1855, as follows: " A vast amount of ingenuity has been expended by intel- ligent millwrights on turbines; and it was said, several years since, that not less than 300 patents relating to them had been granted by the U. S. Government. They continue, perhaps, as much as ever, to be the subject of almost in- numerable modifications. Within a few years there has been a manifest improvement in them, 'and there are now (1855) several varieties in use, in which the wheels themselves are of simple forms, and of single pieces of cast iron, giving a useful effect approaching 60 per cent of the power expended." " The number and variety of forms of these wheels TURBINE WHEELS 179 (reaction turbines) is so great that it is out of the question to enumerate them all in this work. The great variety of this kind of water motors at present in use, each claiming peculiar advantages, is an object which claims the atten- tion of the engineer. All of these claims may be easily examined by means of the friction-brake . . . and there is no way of arriving at safe conclusions but by the use of the friction-brake "• (Gihon's " Overman," 1851, pp. 315, 316). " Within the last ten or fifteen years a numerous tribe of reaction (turbine) wheels have sprung into existence ..." (Hughes, 1851). As already noted, nearly every foundry near a water power had its own turbine design. Many of these early wheels were never catalogued nor tabled, although they are occasionally met in remote localities, and can be measured and tested. The only reason for alluding to turbines in this book is that many grants of indefinite water rights were developed with turbines, and a study of the early designs is of value in connection with the doctrine of practical location and inter- pretation. Thus, at a remote point in the woods of Wis- consin in 1858, many miles away from a railroad, where the settlement consisted of only a few houses, and in a district where the fields had to be cleared in order that wheat and corn could be grown, a water grant for " two runs of stones and a corn cracker " was given. Manifestly this was a grist and not a merchant mill grant. In construing this grant a man was found who had worked in the mill in 1862. He testified that it then operated by a turbine, and that an abandoned turbine was in the yard alongside. The head and fall as developed in 1916 is 9 feet. It is believed that 180 WATER RIGHTS DETERMINATION the head arid fall which would have been reasonably de- veloped in 1858 was 7 feet. The water granted had to develop about 35 horse-power. Calling the turbine efficiency 65 per cent for that date, the water granted amounted to about 64 cubic feet per second. Too much reliance is not to be placed upon the early efficiency tests of turbines, since the methods used were not as accurate as obtaining to-day. In studying turbine efficiencies, tests later than about 1880 will not be con- sidered here. The published turbine efficiencies, obtained prior to 1880, as gathered by the Author, are here given: According to Bennett's " D'Aubuisson," the first turbine actually tested was a Fourneyron of 6 horse-power in 1827. It is claimed to have made 80 per cent efficiency. The second Fourneyron was built in 1831 and produced from 7 to 8 horse-power. Shortly before this period " The Society for the Encouragement of National Industry " had offered a 6000-franc prize for " the best application, on a great scale, of the hydraulic turbine, or wheels with curved floats, of B&idor, to mills and manufacturers." Fourneyron won this prize as noted in a Bulletin of the Society in 1834. Fourneyron in that year built a turbine for a spinning mill near Paris, and later others for use in France and Germany. He built a 13-inch turbine for a 354-foot fall, which developed 40 horse-power. In 1838, he installed four tur- bines near Paris in the mill of St. Maur, each driving ten mill stones (pp. 419, 420). Other tests at various places of the Fourneyron turbines before 1840 by Morin, as given by D'Aubuisson (pp. 430- 433), showed 69.6, 79, 76.9 and 78 per cent efficiencies. Along about this time tests of " duct-wheels or roues TURBINE WHEELS 181 a coloirs " showed 67 per cent and of Carnot's denaids, 70 to 75 per cent efficiencies. D'Aubuisson, who wrote in 1838, finally concluded that, " It (the efficiency) is about 70 per cent for good ver- tical wheels and turbines." Coming now to turbine performances in the United States, the first tests available were made by Elwood Morris at the Rockland cotton mills and at the duPont works on the Brandywine in Delaware, upon Fourneyron tur- bines, and reported in the " Journ. of the Frank. Inst." for 1843. One turbine, 56 inches diameter, 6-foot fall, used 1700 cubic feet of water per minute at 71 per cent effi- ciency. The other turbine gave 75 per cent. The com- ment regarding these tests was, " The experiments on one of these wheels indicates a useful effect of 75 per cent, — a result as good as that claimed for the practical effect of the best overshot wheels, which had heretofore in this country been considered unapproached in their economical use of water." Following these experiments by Morris were the tests at Lowell, Mass., of Boyden turbines at the Appleton and the Boott mills in 1844 and 1846 where the efficiencies obtained were 75 and 88 per cent, respectively (Mahan's " Bresse," pp. 141, 142.) American inventors did not go to the expense of turbine tests at this period, but claimed efficiencies as follows: The Lansing, Parker, Vandewater and Howd are rated as first-class turbines by Hughes, who wrote from 1848 to 1851, and were claimed to have about 65 per cent efficiency. The Parker is given 66 per cent efficiency by Leonard, who wrote in . 1848. Byrne published in 1852 turbine 182 WATER RIGHTS DETERMINATION tables prepared by his brother, who died in New York in April, 1851, based on 60 per cent efficiency. Hughes, 1855, issued a table of the Jagger turbine of 1852 showing 65 per cent efficiency. The Alonzo Warren turbine of 1853 was listed in his wheel book of 1858 as having 75 per cent efficiency. Robert E. Horton calls the early American turbines and also those of the Jonval type as having from 60 to 70 per cent efficiency (Potsdam Lecture in 1910). The next American tests available were conducted by Henry M. Birkinbine at the Fairmount Water Works in Philadelphia in 1859 and 1860 to determine which make or type of turbines should be installed. The results are pub- lished in the Report of the Water Bureau for 1861. The best efficiencies of the individual wheels are here tabulated: Per Cent. Stevenson's second wheel 87 . 77 Geyelin's second wheel 82 . 10 Andrews and Kalbach's third wheel 81 . 97 Collins' second wheel 76.62 Andrews and Kalbach's second wheel 75 . 91 Smith's Parker's fourth trial 75 . 69 Smith's Parker's third trial 74.67 Stevenson's first wheel 73.35 Blake 71 .69 Tyler 71 .23 Geyelin's (double) first wheel 67.99 Smith's Parker's second wheel 67 . 26 Merchant's Goodwin 64 . 12 Mason's Smith 63 .24 Andrew's first wheel 62.05 Rich 61 .32 Littlepage 54.15 Monroe 53.59 Collin's first wheel 47 . 34 The next tests of turbines, whose records are available, were conducted in 1876 at the Centennial Exposition in Phila- delphia, as follows, the figures giving the efficiency at full gate: TURBINE WHEELS 183 Per Cent. 20-inch wheel, Barker & Harris 68 -76.3 30 Risdon 86.5-87.7 24 Knowlton & Dolan 76.3-77.4 24 A. N. Wolff, first test 70.9-73.1 A. N. Wolff, second test 72.6-74.9 26 Noye & Sons, Buffalo 59.4-65.3 27 Goldie & McCullough, Gait, Ont 73.7-82.2 30 John Tyler, Clairmont, N. H 76. 1-78.8 24 Wm. F. Mosser, Allentown, Pa 72.7-75.1 26J Bollinger, York, Pa 68 -70.5 27 Bollinger, York, Pa 63.7-73.7 27 Experimental, York Mfg. Co., York, Pa 51 . 2-64 . 6 26 National, Bristol, Conn 75.9-83.8 30 Cope & Sons, W. Chester, Pa 66.8-79.1 25 Tait's Centennial, Rochester, N. Y 73 . 8-82 . 1 36 Geyelin's double Jonval, R. D. Wood & Co 76.4-78.2 36 Geyelin's single Jonval, R. D. Wood & Co 77 -83 . 4 24 Chase Mfg. Co., Orange, Mass 60.3-68.3 24 Rodney Hunt, Orange, Mass 76.6-78.8 30 Stout, Mills & Temple, Dayton, 66 . 7-68 . 5 The test efficiencies of 1879-1880 at Holyoke, Mass., as published by the Water Power Co. are here summarized: Per Cent. Per Cent. Wemple 72.6-75.6 Wetmore 76.0-77.8 Tyler 78.1-82.2 Royer 66.9-75.2 Moessinger & H 58.9-72.6 Monarch " 41.4-50.3 Victor 80.4-83.3 New American 74.2-77.2 Walsh 72.1-74.4 Hercules 76.5-82.9 King 57.0-62.6 Royer 77.0-80.0 Tyler 79.7-80.3 Cyclone 34.2-52.5 Thompson 69.8-72.4 Hunt. 80.0-85.2 Sherwood 66.5-67.7 Mercey 64.5-70.6 Perry 76.6-81.4 Rechard 67.0-69.7 Reynolds 72.0-78.6 Economical 54.7-55.6 New American 75.2-77.8 Stowe 73.5-78.0 Hummingbird 62.9-66.3 Risdon 76.6-81.5 72.9-78.9 Victor 87.5-92.3 80.5 Boyden 80.8-83.6 Tait 64.8-77.8 Hercules. .- 74.5-78.2 Nunesuch 72.9-75.7 Curtis 69.4-83.6 Hercules 75.0-80.7 New American 75.2-79.6 Houston 80.7-81.8 James Emerson began his turbine testing in 1869 and published the following results of efficiencies up to 1880: 184 WATER RIGHTS DETERMINATION Per Cent. 1874 48-inch wheel, American 75 . 98 1873 42 American 70.95 1873 42 American 68.82 1873 25 American 72.44 1873 20 American 69.38 1874 60 American 73 . 15 1873 48 American 75.46 1872 , 30 Leffel 74.3 1877 25 Victor 75.3 1877 26 Victor 77.8 1878 15 Victor 87.0 30 Eclipse, double, Stillwell-Bierce 76.28 1880 25 New American 81 .9 1880 20 New American 79.6 1876 30 Tyler 66.18-91.27 1874 44 Risdon 91 .32 1877 Wolf 73.8 -84.4 1871 Swede 72.5 -75.2 1873 Wetmore 82.9 1876 Wetmore 71 .95-81.7 1877 Perry 82.88 1872 American 76.8 1873 American 68.82-83.1 1874 American 75 .98 1872 Case 76.3 1873 Case 72.9 1872 Angell 40.0 1873 Angell 74.5-85.4 1874 Angell 76.7 1871 Risdon 71.3 -91.3 1873 Tyler 79.2 -81.6 1876 Tyler 66.2 -91.3 1877 Tyler 74.1 -82.4 1878 Humphreys 47.5-70.2 1877 Victor 75.3 -77.8 1878 Victor 83.6 -88.1 1873 Whitney 74.7 -81.2 1875 McCormick 89.2 1872 Thompson & H 76.2 1878 Libbey 65.5 1871 Davis 63.5 1878 Stowe 80.75 1879 Wemple 75.6 1879 Tyler 82.25 1870 Moessinger 73.3 -81.2 TURBINE WHEELS 185 It is to be noted that the published turbine results are the best shown on the tests. They represent the turbines operating at or near full gate openings and under the highest efficiency (see p. 162). The great increase in the use of turbines is indicated by one company, the Leffel, having sold over 12,000 wheels up to 1888, aggregating over half a million horse-power. In turbine estimates the horse-power varies as the square root of the cube of the head; the quantity of water used and the speed of the wheel vary as the square root of the head; or, otherwise expressed — H.P. varies as H 8/2 ; Q and R.P.M. vary as H H . The coefficients of discharge through turbines have been discussed on p. 120. The efficiencies of turbines in this country in practical service may be summarized as follows: Per Cent. Up to 1855 60 1855 to 1860 65 1860 to 1865 67 1865 to 1870 70 1875 to 1880 75 1880 and later 75 to 80 These percentages relate to the turbines operating at about full gate, and to proper settings. The turbines are supposed to be in good mechanical condition without appreciable leakage. The heads and falls are to be measured at the wheels when in operation. BIBLIOGRAPHY Abbott's Hydraulic Engine, Boston, 1835. Adam's Templeton (see Templeton), 1852. Alger's Hydromechanics, Naval Academy, 1902. Angell, on Water Courses. Amos' Process of Flour Manufacture. Appleton's Dictionary of Machines, Mechanics, etc., 2 Vols., New York, 1852. Appleton's American Cyclopadie of Applied Mechanics. Ball's Natural Sources of Power, New York, 1908. Banks' Treatise on Mills, London, 1795. Baird's American Cotton Spinner, Boston, 1860. Bach's Die Wasserrader, Translation by Prof. Weidner, Madison, Wis., 1913. Bellasis' Hydraulics, with Working Tables, London, 1903. Beardmore's Manual of Hydrology, London, 1862. Bdlidor's Architecture Hydraulique, 4 Vols., Paris, 1785. Bennett's Manufacture of Leather, New York, 1910. Bennett and Elton's History of Corn Milling, Vol. II, London, 1899. Bennett's D'Aubuisson (see D'Aubuisson), 1852. Birkinbine's Turbine Tests in 1859 and 1860. Report Bureau of Water, Phila., 1861. Bjorling's Water Hydr. Motors, London, 1894. Blame's Hydraulic Machinery, New York, 1897. Bloxam's Metals, London, 1876. Bodmer's Hydraulic Motors and Turbines, 3d Ed., London. Bookwalter's Millwright and Mechanic, Springfield, O.. 1881. Brewster's Ferguson (see Ferguson), 1806. Bresse's Hydraulic Motors, Mahan's Revision, New York, 1869. Buchanan's Essays on Millwork, Nicholson's Revision, London, 1808-14. Byrne's Pocket Companion for Mechanics, Machinists and Engineers, New York, 1851. Byrne's Practical Calculator, Phila., 1852. Byrne's Practical Model Calculator, Phila, 1866. 187 188 BIBLIOGRAPHY Campbell's Life Writings of DeWitt Clinton, New York, 1849. Church's Hydraulic Motors, New York, 1905. Churchill's Landmarks of Oswego Co., N. Y., Syracuse, 1895. Chambers' Encyclopaedia,- 10 Vols., Phila., 1869-1872. Clark's Onondaga, 2 Vols., Syracuse, N. Y., 1849. Cullen's Construction of Horizontal and Vertical Water Wheels, London, 1871. Cone's Flow through Submerged Rectangular Orifices, Washington, 1917. Craik's Practical American Millwright and Miller, Phila., 1870. Cyclopaedia of Useful Arts, 2 Vols., London and New York, 1854. Cramer's Useful Information for Cotton Manufacturers, 4 Vols., Char- lotte, N. C, 2nd Ed., 1904. D'Aubuisson's Treatise on Hydraulics, Bennett's Translation, Boston, 1852. D'Aubuisson's Traits D'Hydraulique, Paris, 1839. Davis' Manufacture of Leather, Phila., 1885. Disston's The Saw in History, 2nd Ed., Phila., 1916. Disturnell (see Gazetteer), 1842. DeFontenelle and Malepeyre's Arts of Tannery, Currying and Leather Dressing, Revised by Morfit, Philadelphia, 1852. Dougherty's Hydraulics, New York, 1916. Downing's Practical Hydraulics, London, 1855 and 1856. Donaldson's Principles of Construction and Efficiency of Water Wheels, London, 1876. Drake's Practical Mechanic, Phila., 1888. Dussance's Tanning, Currying and Leather Classified, Phila., 1867. Evans' (Oliver) Young Millwright and Miller's Guide, Phila., Editions of 1795, 1807, 1832 and 1853. Emerson's (Jas.) Hydrodynamics, Willimansett, Editions of 1878, 1881, and 1894. Emerson's (Wm.) Principles of Mechanics written 1754, Sears' Revision, London, 1825. Eubank's Hydraulics and Mechanics, New York, 1850. Engineer and Machinist's Assistant, 2 Vols., London, 1850. Fairbairn's Treatise on Mills and Millwork, London, 1878. Fanning's Hydraulic and Water Supply Engineering, New York, 1891. Farnham's Water and Water Rights, 3 Vols., Rochester, 1904. Febre's Hydrauliques, Paris, 1783. Ferguson's Lectures on Mechanics, Hydraulics, etc., Revised by Brewster, Edinburg, 1806. Ferguson's Lectures, revised by Partington, London, 1825. BIBLIOGRAPHY 189 Folwell's Water Supply Engineering, New York, 1900. French's Gazetteer of the State of New York, Syracuse, 1860. Fry's Civil Engineer's Pocket Book, New York, 1913. Francis' Lowell Hydraulic Experiments, 4th Ed., 1883. Grimshaw's Miller, Millwright and Mill Furnisher, 1882. Gazetteer of the State of New York, Albany, 1813. Gazetteer of the State of New York, Albany, 1824, by Spofford. Gazetteer of the State of New York, Albany, 1836, by Gordon. Gazetteer of the State of New York, Albany, 1842, by Disturnell. Gazetteer of the State of New York, Syracuse, 1860, by French. Gibson's Hydraulics and Its Applications, New York, 1908. Gihon's Overman (see Overman), 1851. Glynn's Power of Water, London, 1885. Grier's Mechanic's Calculator, Philadelphia Editions of 1842 and 1846; Scotch Edition of 1832. Gregory's Treatise on Mechanics, 3 Vols., London, 1806. Gregory's Mathematics for Practical Men, written 1825, London, Law Revision, 1848. Hardy's Landmarks in Paper Making, Fitchburg. Haslett's Book of Reference and Engineer's Field Book, Edited by Hackley, New York, 1859. Haswell's Engineers' and Mechanics' Pocket Book, New York, Editions of 1844, 1848, 1854, 1860, 1878, and 1909. Hewson on Levees, New York, 1870. Hebert's Engineer's and Mechanic's Encyclopaedic, 2 Vols., London, 1849. Herschell's Frontenus and Water Supply of Rome, New York, 1899. Hill's Pocket Manual for Engineers, Providence, 1883. Holliwell's Technics of Flour Milling, 2d Ed., London, 1904. Hough's History of Jefferson Co., N. Y., 1854. Horton's Turbine Water Wheels and Power Tables, Washington, 1906. Horton's Weir Experiments, Coefficients and Formulae, Washington, 1906. Horton's Turbine Water Wheel as a Prime Mover, Potsdam, N. Y., being Clarkson Bulletin VII, No. 1, Jan., 1910. Howard and Bullough's Cotton Machinery, 1909. Hughes' American Miller and Millwright's Assistant, Phila., Editions of 1851, 1853, 1859, 1866, 1884. Innes' Centrifugal Pumps and Turbines, 1901. Jackson's Hydraulic Works, London, 1885. Jamieson's Dictionary of Mechanical Sciences, 2 Vols., London, 1836. Jamieson's Mechanics for Practical Men, London, 1840. Kent's Mechanical Engineers' Pocket Book, New York, 1916. 190 BIBLIOGRAPHY Knight's American Mechanical Dictionary, 3 Vols., New York and Cam- bridge, 1876. Knight's New Mechanical Dictionary, Boston, 1884. Kick's Treatise on Milling Science and Practice, translated from the German by Powles. Kozmin's Flour Milling, translated from the Russian by Falkner and Fjelstrup, New York, 1917. Langsdorf's Lehrbushler Hydraulics, Allenburg, 1794. Lea's Hydraulics, 1907. Leonard's Mechanical Principia, New York, 1848. Levy and Mannel's Tanners and Chemists' Hand Book, 1909. Lineham's Text Book of Mechanical Engineering-, London, 1904. Lister's Cotton Manufacture, London, 1894. Little's Story of a Wonderful Flour Mill, 1917. Library of Useful Knowledge, 15 Vols., New York, 1881. Mahan's Bresse (see Bresse), 1869. Mahan's Civil Engineering, New York, 1879. Mead's Notes on Hydrology, 1904. Mead's Water Power Engineering, New York, 1908. Meyer's References on Water Rights and Control of Waters, 1914. Merriman's American Civil Engineers' Pocket Book, New York, 1911. Merriman's Treatise on Hydraulics, New York, 1889, 1910. Millers' Review for 1913-1917, Phila. Mitchell's Dictionary of Mathematics and Physical Sciences, London, 1823. Michelotti, Sperimenti Itraulici, Forina, 1767, 2 Vols. Morin's Hydraulique, Paris, 1758. Moore's Universal Assistant and Complete Mechanic, New York, 1880. Morris' (Elwood) Tests of Fourneyron Turbines, Journ. Frank. Inst., 1843. Molitor's Hydraulics of Rivers, Weirs, Sluices, New York, 1905. Mollet's Hydraulique Physique, Lyons, 1809. Molesworth's Pocket Book of Useful Formulae and Memoranda, London, Editions of 1871 and 1894. Morfit's Arts of Tanning, Currying and Dressing Leather, Phila., 1852. Neville's Hydraulic Tables, Coefficients and Formula, London, Editions of 1853, 1860-1861, and 1875. Nicholson's Operative Mechanic and Machinist, London, 1826. Nicholson's Buchanan (see Buchanan). Nordyke and Marmon's Milling Books, Indianapolis. Nystrom's Pocket Book of Mechanics and Engineering, 9th Ed., Phila., 1865. BIBLIOGRAPHY 191 Oliver's Miller and Milling Engineer, Indianapolis, 1913. Operative Miller, Chicago. Overman's Mechanics for Millwrights, etc., Gihon's Edition, Phila., 1858, also 1851. Oswego City and Business Directory and Compendium of Useful Infor- mation, Oswego, N. Y., 1852. Oswego's Commercial Times, 2d Annual Review of the Trade and Com- merce for 1858, Oswego, 1859. Oswego, Churchill's Landmarks, Syracuse, 1895. Pallett's Miller's, Millwright's and Engineer's Guide, Phila., Editions of 1866 and 1890. Parker's Control of Water, London and New York, 1915. Perry's Applied Mechanics, 1898. Proctor's Principles of Leather Manufacture, Spon, 1903. Proctor's Leather Industry's Laboratory Book, Spon, 1908. Partington's Ferguson's Lectures, London, 1825. Rankine's Manual of the Steam Engine and Other Prime Movers, 9th Ed., London, 1878. Rankine's Manual of Applied Mechanics, London, 1877. Rankine's Civil Engineering, London, 1880. Rankine's Machinery and Millwork, London, 1880. Robinson's Hydraulic Power and Hydraulic Machinery, London, 1887. Russel's Text Book on Hydraulics, New York, 1910. Sam's Mechanical Engineering. Schmeer's Flow of Water, New York, 1909. Scott's Practical Cotton Spinner and Manufacturer, Phila., 1851. Schultze's Leather Manufacture, New York, 1876. Scribner's Engineers' and Mechanics' Companion, 18th Ed., New York, 1878. Smeaton's Reports, London, 1797. Smeaton's Tracts, London, 1794. Smith's (Hamilton) Hydraulics, etc., New York, 1886. Strange's Indian Storage Reservoirs, London, 1904. Stone's Simple Hydraulic Formula?, 1881. Stevenson's Canal and River Engineering, Edinburgh, 1858. Spon's Encyclopedia of Industrial Arts, London, 1879. Spon's Dictionary of Engineering, 8 Vols., London, 1871. Sullivan's New Hydraulics, Denver, 1900. Switzer's Hydrostatics and Hydraulics, London, 1779. Swingle's Practical Hand Book for Millwrights, Chicago, 1910. Supplee's Mechanical Engineer's Reference Book, 2d Ed., 1905. Taylor, in Journ. West. Soc. of Engrs., Ill, 879. 192 BIBLIOGRAPHY Templeton's Engineer, Millwright and Mechanic's Pocket Companion, 8th English Ed., Revised by Adams, New York, 1852. Thomas' Composition of Several Classes of American Wheats, etc., Washington, 1917. Tomlinson's Cyclopsedie of Useful Arts, 2 Vols., London, 1852. Trimble's The Tanniris, Phila., 1892. Trautwine's Engineer's Pocket Book, New York, 1907. Tredgold's Hydraulic Tracts, 2d Ed., London, 1836. Turneaure and Russell's Public Water Supplies, New York, 1910. Unwin's Treatise on Hydraulics, London, 1907. Venturoli's Elementi Di Meccanicse, 2 Vols., Rome, 1826. Watt's Leather Manufacture, London, 1906. Water power, Parts I and II, 10th U. S. Census, Vols. XXVI, XXVII. Weidner's Translation of Bach's Die Wasserrader, Madison, 1913. Weidner's Theory and Test of an Overshot Water Wheel, Bulletin 520 Univ. of Wis., Madison, 1913. Weber and Others on Turbine Tests at Centennial Exposition, 1876. Webber on Water Wheels, Trans. A.S.M.E., XVIII, 41. Webber's Manual of Power for Machines, Shafts and Belts, New York, 1891. Wells' Water Power of Maine, Augusta, 1869. Weisbach's Mechanics of Machinery and Engineering, 1st American Ed. of Prof. Johnson, Phila., 1848. Whitin Machine Works, Cotton Machinery. Winslow's Machinist's and Mechanic's Practical Calculator and Guide, 3d Ed., Boston, 1855. Wilme's The Civil Engjneer, 1846. Wolfe's Milling Machinery. Young's History of American Manufacturers, Vol. II, Phila. Young's (Dr.) Natural Philosophy and Mechanical Arts, 2 Vols., London, 1807. Water Turbine Wheel Books: Adams, Boston, Mass, 1858. American and New American, 10 Editions, Dayton, O. Amsterdam-Jonval, Amsterdam, N. Y. Amsterdam-Fourneyron, Amsterdam, N. Y. Alcott, Mt. Holly, N. J., 3 Editions. Allentown or Eureka, Allentown, Pa. Adams, or Helmer, or Rome, Rome, N. Y. Bodine-Jonval, Mt. Morris, N. Y. Bradway, W. Stafford, Conn. Bastion, of Watertown. N. Y. BIBLIOGRAPHY 193 Water Turbine Wheel Books, Continued: Bartley, Bartley, N. J. Burnham, York, Pa. Ridgeway's Perfection, Coatesville, Pa. Chase-Jonval, Orange, Mass. Cope, West Chester, Pa. Curtis, Ogdensburg, N. Y. Carley or Syracuse, Syracuse, N. Y. Camden, Camden, N. Y. Camden U. S., Camden. Canada Wheel, Reading, Pa. Christiana, Christiana, Pa. Dubuque-McCormick, Dubuque, Iowa. Dix-Jonval, Glen Falls, N. Y. Eclipse Double Turbine, Dayton, O. Eureka, Allentown, Pa. Fitz Overshot, Hanover, Pa. Flenniken, Dubuque, Iowa. Fourneyron, McElwain, Amsterdam, N. Y. Gulden's Overshot, Bendersville, Pa. Gulden's Turbine, Bendersville, Pa. Helmer, or Rome, N. Y. Hercules, Holyoke and Worcester, Mass., 4 Editions. Haig's Reliance, Reading, Pa. Hunt-McCormiek, Orange, Mass., 5 Editions. Humphreys IXL and LCR, Keane, N. H. Jolly-McCormick, Holyoke, Mass. Kaiser, Chambersburg, Pa. Leffel, Springfield, O., 12 Editions. Little Grant, Dolan's Logansport, Ind. Wilson, Picton, Ont. Pheonix, Munson, Utica, N. Y. Lesner, Wemple of Fultonville, N. Y. Moline-McCormick, Moline, 111. Poole and Hunt's Leffel, Baltimore, Md. Risdon, Mt. Holly, N. J. Risdon-Alcott, Mt. Holly, N. J. Raney Turbine, Pittsburg, Pa. Reliance, Reading, Pa. Reynolds, Oswego, N. Y. Rechard. Swain, Lowell, Mass. 194 BIBLIOGRAPHY Water Turbine Wheel Books, Continued: Sullivan's Wetmore, Clairmont, N. H. Smith, York, Pa., 11 Editions. Success, York, Pa., 3 Editions. Trump, Springfield, 0. Victor, Dayton, 0., 13 Editions. Warren of 1853, Boston, Mass. Waits Champion, Sandy Hill, N. Y. INDEX PAGE Accompanying machinery, flour mills 8, 12, 14, 25 Ajutage, long known, not allowed Ill, 112 Aperture or orifice water grants 109 Ajutage long known Ill, 112 Ajutage not allowed Ill Examples • 109-12 See " Coeflicients." 179 N. Y. A. D. 332 110 2 Wharton 477 Ill Axe Factory 70 Bark Mill (see " Tannery ") 66 Blast furnace, bellows, blowers 73 Carthage decree 74 D'Aubuisson's example 75 Haswell's examples 73-74 Hewitt, N. J 75 Leonard on power for 75 Breast wheels 170 Bucket filling 175 Coefficient of discharge 117, 170 Efficiency 171, 175 Falls adapted for 163, 170 Head and fall 159, 171 Kinds of 170 Leakage 175 Rankine's rule 169, 175 Smeaton's maxims 153 Speed of 171 Buhr mills (see " Run of Stone ")• Bulkhead gates, coefficient for 115 195 196 INDEX PAGE Carding and fulling mills °° Carthage mill 81 Dexter water grant °" Equal to run of stones °1 Evans on 81 Oswego water lease 81 Central-discharge, flat-vaned, scroll-cased wheels 138 Coefficient of discharge 119, 145 Construction of 139 Description 138 Efficiency 145 Examples 142-144 Coefficient of discharge 113-121 Breast wheels 117 Bulkhead gates 115 Central-discharge wheels 119 Definition 114 Flutter wheels 117 Overshot wheels 117 Spout wheels, 50 Hun 497 120 Standard orifices 113-115 Court decisions 114 Orifice defined 115 Rounded orifices 115 Theoretical discharge 115 Tub wheels 119. Turbines 120 Undershot wheels 117 Corn cracker or crusher 48 Definition 48 History of 49-52 Kinds 49-52 Power 53 Corn meal and feed mills 45 Corn cracker or crusher 48 Power used 45, 48 Weight of corn 45 Cotton mills 87 Abbott on power 88 Baird on power 96 Building, space 91 Changes in power demands 101 INDEX 197 PAoa Cotton mills, Emerson's tests 99, 100 Glasgow mill lease 93 Groat v. Moak 95 History of ' 88 Janesville mill 100 Leonard on 90-93 Lowell standard 89, 106 Manufacturers' tables 101 Mill power 89 Moore's example 96 Operation in 87 Oswego lease 94 Power, various authorities 96 Rocky Glen mill 94 Spindles and power per building 91 Throstle and other spindles 96 Webber's tests 97-99 Whitham's tests 100 Whitman's lease 95 Definitions, bark mill 66 Coefficient of discharge 114 Corn cracker 48 Cuboch 4 Flouring mill 44 Grist and grist mill 44 Orifice 113, 115 Run of stone 44 Turbine 176 Discharge (see " Coefficient "). Distillery water grant 53 Efficiency (see the particular wheel). Feed mills ". 45 Flax (see " Oil mill "). Flutter or saw mill wheels 129 Carthage wheels 132 Coefficient of discharge 117, 129 Craik and Haswell 131 Efficiency 132 Ellicott, 1795 13 ° 198 INDEX PAGE Flutter or saw mill wheels, Evans and Pallett 130 Saw mill grants 129 Fulling (see " Carding Mill "). Grist mill defined , 44 Decree at Carthage 37 Fulton 32 Little Falls 33 Ogdensburg 32 Plattsburg 35 Haswell and others 38, 39 Power for grist mill ' 42 Power per run 28, 37, 38, 44 Powers v. Perkins 38 Run of water at Dayton 26 Slow speed of stones 15 Small product 15 Two runs needed 42 Whitham's tests 44 I Head gate discharge coefficient 115 Inches of water defined 126 Carthage decree 36, 60, 69, 70, 74 Coefficient of discharge 126 Differs from aperture grant 122 Engineering meaning ; 122-126 Grants in inches 122 Janesville Cotton Mills v. Ford 128 Origin of term 122-126 Palmer v. Angel 127 Practical construction 30, 128 Quantity of water and not power is meant 127 Theresa tannery 67 Iron works, blast furnace 73 Nail factory .' 79 Rolling mill - 76 Trip-hammer 77 Linseed (see " Oil Mill "). INDEX 199 PAGE Machine shop grant 70 Carthage decree L . 71 Lyman's lease 72 Whitham's tests 72 Merchant buhr mills 17, 18 Definition 9, 44 Haswell and others 38, 39 In Oswego 28 Large product and power 15 Power per 100 barrels of flour 21 Power to grind and dress a bushel of wheat 8 Power to grind bushel wheat 4 Power per run of stone 28, 44 Systems of milling 43 See " Run of Stone." Nail factory 79 Oil Mill 107 Orifice (see " Aperture "). Oswego milling history 19, 21, 22 Cotton mill lease 94 Emerson's views 31 Flour per run per day 18, 21 Leases on hydraulic canal 28, 29 Brown 81 Lyman 72 Varick decree 26 See " Run of Stone." Overshot water wheels 154 Bucket filling 167 Coefficient of discharge 117, 154 Efficiency 159-163 ' Evans' examples 155 Examples 164-167 Falls adapted for 163 Head and f all 158-159 Head on wheel 155, 168 Hewitt, N. J 76 Pitch-back 170 Rankine's rule - 169 Size and number of buckets 168 200 INDEX PAGE Overshot water wheels, Smeaton's maxims 153 Speed of wheel 154-158 Paper mills 102 Caswell's grant 106 Developments in 102 Examples 104-106 Sunnydale mill 106 Writing mills 106 Pearl barley mills 54 Pitch-back wheels 170 Plaster mills 102 Poncelet wheels 153 Power for Milling (see "Wheat," "Run of Stone," "Grist Mills " and " Merchant Mills "). Roller mills, power grinding wheat 8 Power grinding and dressing wheat 14 Power per 100 barrels of flour ' 21 Whitham's tests 24 Rolling mills (iron) ' 76 Run of Stone, Brewster's mle of 1806 17 Carthage decree 36 Corn and feed mills 45 Dedrick on power 43 Definition 44 Distillery buhr 53 Evans on power 135 Fulton decree 32 Grist mill ' 37, 44 Haswell and others 38 39 High speed in merchant mills 15 Hughes and Pallett on power 39-42 Little Falls decree 33 Merchant mills 44 Ogdensburg decree 32 Plattsburg decree 34-36 Power grinding and dressing bushel of wheat 8 Power grinding bushel wheat 4 Power in grist mills 28, 37, 38, 44 Power in merchant mills 28 44 Power per 100 barrels flour 21 INDEX 201 PAGE Run of Stone, Power variation with stones 17 Powers v. Perkins 38 See " Oswego." See " Water grants and leases." Slow speed in grist mills 15 Speed of 15 Starch mill stone 53 Varick decree 26 Wheat ground per run 17 Run of water at Dayton 26 Saw mills 56 Carthage decree 60 Circular saws 61-64 Examples 58-65 Gang saws 61, 62 Grants of water for 57 Illustration 57 Power for circular saws 63-65 Power for single saw 58-61 Power, various woods 58 Speed of saw blades 56 Water grants for 57, 129 Water wheel used 57 Shingle mills 64 Split-pea mills 55 Starch mills 53 Stones in flour mills (see " Run of Stone ") Sumac mill 70 Tanneries 66 Bark mill or grinder 66 Bark mill tests 67 Carthage decree 69 Cover tannery '. 67, 69 Hiteman tannery 70 Hubbard tannery 68 Janney tannery .i 69 Mosser tannery 69 Power per 100 hides 67, 68 Theresa tannery 67 Trip or tilt hammer 77, 151 202 INDEX PAGB Tub wheels 132 Coefficient of discharge 119, 132 Description 132 Efficiency 137 Emerson's test 136 Evans on 134, 135 Examples 136 Water grant 132 Turbines 176 Classes of 277 Coefficient of discharge 120 Definition 176 Development of 177, 178 Efficiency 180-185 Undershot wheels 146 Bucket or float immersion 148 Coefficient of discharge 117, 146 Depth of floats 149 Depth of stream 149 Efficiency 152 Examples 151 Head range 149 Horse-power 151 Number of floats 149, 150 Poncelet wheel 153 Size of 149 Smeaton's maxims 153 Smeaton's tests 146 Speed of 146, 147 Water grants and leases: Ansonia, Conn 110 Axe factory 70 Bark mill and tannery 66 Birmingham, Conn 110 Blast furnace, bellows, blowers 73, 76 By aperture or orifice 109, 122 By breast wheels 170 By central-discharge wheels 138 By flutter wheels '. 129 By inches of water 122 INDEX 203 PAGE Water grants and leases: By overshot wheels 154 By pitch-back wheels 170 By Poncelet wheels 153 By saw mill wheels 56, 129 By tub wheels 132 By turbines 29, 176, 179 By undershot wheels 146 Carding and fulling mill 80 Carthage decree 36, 46, 60, 67, 69, 74, 78, 79, 132, 136, 151, 174 Cohoes, N. Y 109 Corn cracker 48, 179 Cotton factory 87, 93, 95 Dayton, Ohio 26 Dexter, N. Y 110 Distillery 53 Doctrine of practical construction 30 Emerson on. 31 Feed mills 45 Flouring mills (see Merchant buhr mills). Fulton decree! 32 Glasgow cotton mills 93 Grist mills 26, 28, 32, 35, 38, 44 Groat v. Moak. 86, 95 Hewitt, N. J 75 Hydraulic canal, Oswego 19, 21, 26, 28, 29, 68, 72, 81, 94 Janesville Cotton Co. v. Ford 128 Little Falls decree 33, 95 Lowell standard ' 89 Machine shop 70 Nail factory 79 Oat meal mill v 54 Ogdensburg decree 32 Oil mill 107 Palmer v. Angel 127 Paper mill 102, 106 Pearl barley mill 54 Plaster mill 102 Plattsburg decree 34-36 Powers v. Perkins 38 Roller flour mills 7, 13, 14, 21, 24 Rolling mills (iron) 76 204 INDEX PAGE Water grants and leases: Saw-mills 56 Schuylkill case Ill See " Run of Stone." Shingle mill 64 Tannery 66 Theresa, N. Y 67 Trip-hammer 77, 79, 151 Unionville, Conn 110 Varick canal decree 26 Watertown, N. Y 107 Wausau, Wis 57, 179 Whitman mill 95 Windsor Locks, Conn 109 Woolen mills 82 Wheat ground per run 17 Per barrel of flour 2 Pounds per bushel • ; 1 Power used in grinding 4 Power used in grinding and dressing 8 See " Run of Stone." Variation in grinding 18 Variation in weights 1 Woolen mills 82 Emerson's tests 85 Examples 82-86 Groat v. Moak 86 Leffel examples 86 Operations in 86 Ordway's tests 86 Stott's mills 83 Webber's tests 85-86 Whitham's tests 82-84 : \l \ itiiiiiti ii SI SStitit ;