Electricity for the farm: Light, heat and power by inexpensive methods from the water wheel or farm engineAnderson, Frederick Irving
Science
Electricity for the farm: Light, heat and power by inexpensive methods from the water wheel or farm engine
Anderson, Frederick Irving
Electricity in agriculture
With this weir, every square inch of water flowing through the opening
indicates roughly one cubic foot of water a minute. Thus if the
opening is 10 inches wide and the water flowing through it is 5 inches
deep, the number of cubic feet a minute the stream is delivering is 10
× 5 = 50 square inches = 50 cubic feet a minute. This is a very small
stream; yet, if it could be made to fall through a water wheel 10 feet
below a pond or reservoir, it would exert a continuous pressure of
30,000 pounds per minute on the blades of the wheel--nearly one
theoretical horsepower.
This estimate of one cubic foot to each square inch is a very rough
approximation. Engineers have developed many complicated formulas for
determining the flow of water through weirs, taking into account fine
variations that the farm prospector need not heed. The so-called
Francis formula, developed by a long series of actual experiments at
Lowell, Mass., in 1852 by Mr. James B. Francis, with weirs 10 feet
long and 5 feet 2 inches high, is standard for these calculations and
is expressed (for those who desire to use it for special purposes) as
follows:
Q = 3.33 L H^(3/2) or, Q = 3.33 L H sqrt(H),
in which Q means _quantity_ of water in cubic feet per second, L is
length of opening, in feet; and H is height of opening in feet.
The following table is figured according to the Francis formula, and
gives the discharge in cubic feet per minute, for openings one inch
wide:
TABLE OF WEIRS
Inches 0 1/4 1/2 3/4
1 0.403 0.563 0.740 0.966
2 1.141 1.360 1.593 1.838
3 2.094 2.361 2.639 2.927
4 3.225 3.531 3.848 4.173
5 4.506 4.849 5.200 5.558
6 5.925 6.298 6.681 7.071
7 7.465 7.869 8.280 8.697
8 9.121 9.552 9.990 10.427
9 10.884 11.340 11.804 12.272
10 12.747 13.228 13.716 14.208
11 14.707 15.211 15.721 16.236
12 16.757 17.283 17.816 18.352
13 18.895 19.445 19.996 20.558
14 21.116 21.684 22.258 22.835
15 23.418 24.007 24.600 25.195
16 25.800 26.406 27.019 27.634
17 28.256 28.881 29.512 30.145
18 30.785 31.429 32.075 32.733
Public-domain text, read in full here on John Shaqi.
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