micro hydro power
TRANSCRIPT
power vs. static head for 3" pipe, optimal nozzle dia. max 1.5" dia.
q (Usgpm)
static
head (ft)
pipe dia
(in) nozzle dia. (in)HF (ft) f coef. Reynolds no.
pipe
velocity
(ft/s)
nozzle
velocity
based on
friction
(ft/s)
200 10 3.00 1.5 9.918 0.019 210944 9.08 2.30
100 10 3.00 1.5 2.652 0.021 105472 4.54 21.74
114 10 3.00 1.5 3.396 0.020 120238 5.17 20.61
Note: the calculations are a result of an iterative process, the flow number in column A must be changed up or down such that the velocity that corresponds to friction in column I is equal to the velocity that corresponds to flow in column J
nozzle
velocity
(ft/s)
water jet
power
(kW)
power at
turbine
wheel
(kW)
elec. cost
per
month
pipe
length (ft) turbine rpm turbine dia.
36.31 0.772 0.348 $17.52 100 1040 4
18.16 0.097 0.043 $2.19 100 520 4
20.70 0.143 0.064 $3.24 100 593 4
power vs. static head for 2" pipe, optimal nozzle dia. max 1.5" dia.
q (Usgpm)
static
head (ft)
pipe
dia (in)
no. of
nozzles
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe velocity
(ft/s)
nozzle velocity
based on
friction (ft/s)
nozzle velocity
(ft/s)
water jet
power (W)
power at
turbine wheel
(W)
elec. cost per
month
pipe length
(ft) turbine rpm turbine dia.
61 10 2 1 1.5 7.986 # ## 6.23 11.38 11.07 22 10 $0.50 100 317 4
88 20 2 1 1.5 16.075 # ## 8.99 15.89 15.98 66 30 $1.49 100 458 4
108 30 2 1 1.5 23.836 # ## 11.03 19.91 19.61 122 55 $2.76 100 562 4
125 40 2 1 1.5 31.615 # ## 12.77 23.23 22.69 189 85 $4.28 100 650 4
140 50 2 1 1.5 39.378 # ## 14.30 26.14 25.42 265 119 $6.01 100 728 4
power vs. static head for 3" pipe, optimal nozzle dia. max 1.5" dia.
q (Usgpm)
static
head (ft)
pipe
dia (in)
no. of
nozzles
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe velocity
(ft/s)
nozzle velocity
based on
friction (ft/s)
nozzle velocity
(ft/s)
water jet
power (kW)
power at
turbine wheel
(kW)
elec. cost per
month
pipe length
(ft) turbine rpm turbine dia.
114 10 3 1 1.5 3.396 # ## 5.17 20.61 20.70 143 64 $3.24 100 593 4
162 20 3 1 1.5 6.624 # ## 7.35 29.34 29.41 410 185 $9.31 100 843 4
195 30 3 1 1.5 9.447 # ## 8.85 36.36 35.40 716 322 $16.24 100 1014 4
230 40 3 1 1.5 12.978 # ## 10.44 41.70 41.76 1175 529 $26.64 100 1196 4
260 50 3 1 1.5 16.443 # ## 11.80 46.47 47.20 1697 764 $38.49 100 1352 4
340 75 3 1 1.5 27.659 # ## 15.43 55.19 61.73 3795 1708 $86.06 100 1769 4
405 100 3 1 1.5 38.885 # ## 18.38 62.71 73.53 6414 2886 $145.46 100 2107 4
power vs. static head for 4" pipe, optimal nozzle dia. max 1.5" dia.
q (Usgpm)
static
head (ft)
pipe
dia (in)
no. of
nozzles
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe velocity
(ft/s)
nozzle velocity
based on
friction (ft/s)
nozzle velocity
(ft/s)
water jet
power (W)
power at
turbine wheel
(kW)
elec. cost per
month
pipe length
(ft) turbine rpm turbine dia.
133 10 4 1 1.5 1.079 # ## 3.40 23.96 24.15 227 102 $5.15 100 692 4
185 20 4 1 1.5 2.005 # ## 4.72 34.03 33.59 611 275 $13.86 100 962 4
235 30 4 1 1.5 3.155 # ## 6.00 41.56 42.67 1253 564 $28.42 100 1222 4
265 40 4 1 1.5 3.966 # ## 6.77 48.15 48.11 1797 809 $40.75 100 1378 4
295 50 4 1 1.5 4.868 # ## 7.53 53.89 53.56 2479 1115 $56.21 100 1534 4
364 75 4 1 1.5 7.285 # ## 9.29 66.01 66.09 4656 2095 $105.61 100 1262 6
420 100 4 1 1.5 9.598 # ## 10.72 76.27 76.25 7153 3219 $162.23 100 1456 6
power vs. static head for 6" pipe, optimal nozzle dia. max 1.5" dia.
q (Usgpm)
static
head (ft)
pipe
dia (in)
no. of
nozzles
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe velocity
(ft/s)
nozzle velocity
based on
friction (ft/s)
nozzle velocity
(ft/s)
water jet
power (kW)
power at
turbine wheel
(kW)
elec. cost per
month
pipe length
(ft) turbine rpm turbine dia.
140 10 6 1 1.5 0.161 # ## 1.59 25.16 25.42 265 119 $6.01 100 728 4
195 20 6 1 1.5 0.296 # ## 2.21 35.61 35.40 716 322 $16.24 100 1014 4
240 30 6 1 1.5 0.434 # ## 2.72 43.61 43.57 1335 601 $30.27 100 1248 4
275 40 6 1 1.5 0.560 # ## 3.12 50.37 49.93 2008 904 $45.54 100 1430 4
310 50 6 1 1.5 0.701 # ## 3.52 56.32 56.28 2876 1294 $65.23 100 1612 4
385 75 6 1 1.5 1.054 # ## 4.37 68.98 69.90 5510 2479 $124.96 100 1335 6
440 100 6 1 1.5 1.356 # ## 4.99 79.67 79.88 8224 3701 $186.53 100 1526 6
500 feet, single nozzlepower vs. static head for 2" pipe, optimal nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle dia.
(in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle velocity
based on friction
(ft/s)
nozzle
velocity
(ft/s)
water jet
power (W)
power at
turbine
wheel (W)
elec. cost
per month
pipe
length (ft) turbine rpm turbine dia.
22 25 2.00 1 0.5 5.941 # # 2.25 35.02 35.95 83 37 $1.89 500 1030 4
31 50 2.00 1 0.5 11.194 # # 3.17 49.97 50.65 233 105 $5.28 500 1451 4
38 75 2.00 1 0.5 16.362 # # 3.88 61.42 62.09 429 193 $9.73 500 1779 4
44 100 2.00 1 0.5 21.540 # # 4.49 71.05 71.90 666 300 $15.11 500 1373 6
54 150 2.00 1 0.5 31.694 # # 5.51 87.25 88.24 1231 554 $27.93 500 1685 6
power vs. static head for 3" pipe, optimal nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle dia.
(in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle velocity
based on friction
(ft/s)
nozzle
velocity
(ft/s)
water jet
power (W)
power at
turbine
wheel (W)
elec. cost
per month
pipe
length (ft) turbine rpm turbine dia.
80 25 3.00 1 1 8.722 # # 3.63 32.36 32.68 250 113 $5.68 500 936 4
113 50 3.00 1 1 16.700 # # 5.13 46.29 46.16 705 317 $15.99 500 1322 4
138 75 3.00 1 1 24.397 # # 6.26 57.06 56.37 1285 578 $29.13 500 1077 6
161 100 3.00 1 1 32.728 # # 7.31 65.79 65.77 2040 918 $46.26 500 1256 6
197 150 3.00 1 1 48.169 # # 8.94 80.94 80.47 3737 1682 $84.75 500 1537 6
power vs. static head for 4" pipe, optimal nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle dia.
(in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle velocity
based on friction
(ft/s)
nozzle
velocity
(ft/s)
water jet
power (W)
power at
turbine
wheel (W)
elec. cost
per month
pipe
length (ft) turbine rpm turbine dia.
175 25 4.00 1 1.5 9.028 # # 4.47 32.06 31.77 517 233 $11.74 500 910 4
250 50 4.00 1 1.5 17.747 # # 6.38 45.55 45.39 1509 679 $34.21 500 1300 4
306 75 4.00 1 1.5 26.108 # # 7.81 56.09 55.56 2766 1245 $62.74 500 1592 4
355 100 4.00 1 1.5 34.715 # # 9.06 64.81 64.45 4319 1944 $97.96 500 1231 6
437 150 4.00 1 1.5 51.810 # # 11.16 79.48 79.34 8057 3626 $182.74 500 1137 8
power vs. static head for 6" pipe, optimal nozzle dia. Max. 1.5" dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle dia.
(in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle velocity
based on friction
(ft/s)
nozzle
velocity
(ft/s)
water jet
power (W)
power at
turbine
wheel (W)
elec. cost
per month
pipe
length (ft) turbine rpm turbine dia.
215 25 6.00 1 1.5 1.771 # # 2.44 38.66 39.03 960 432 $21.76 500 1118 4
300 50 6.00 1 1.5 3.296 # # 3.40 54.82 54.47 2607 1173 $59.12 500 1560 4
370 75 6.00 1 1.5 4.888 # # 4.20 67.16 67.18 4890 2201 $110.91 500 1283 6
425 100 6.00 1 1.5 6.350 # # 4.82 77.62 77.16 7411 3335 $168.09 500 1474 6
525 150 6.00 1 1.5 9.483 # # 5.96 95.08 95.32 13971 6287 $316.85 500 1365 8
0
1000
2000
3000
4000
5000
6000
7000
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Power vs. pipe dia. at static heads from 25 to 150 ft and 500 feet of
0.5" nozzle
Note: the calculations are a result of an iterative process, the flow number in column A must be changed up or down such that the velocity that corresponds to friction in column J is equal to the velocity that corresponds to flow in column K
10000
12000
14000
16000
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Power vs. static head at various pipe dias. from 2" to 6" and 500 feet of pipe, single
0
2000
4000
6000
8000
10000
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2.00 3.00 4.00 6.00
Pipe diameter (in)
Power vs. pipe dia. at static heads from 25 to 150 ft and 500 feet of pipe, single nozzle of varying size
25 ft
50 ft
75 ft
100 ft
150 ft
Static head
0.5" nozzle 0.5" nozzle 1.5" nozzle 1.5" nozzle
1.5" nozzle 1.5" nozzle
Note: the calculations are a result of an iterative process, the flow number in column A must be changed up or down such that the velocity that corresponds to friction in column J is equal to the velocity that corresponds to flow in column K
10000
12000
14000
16000
Power vs. static head at various pipe dias. from 2" to 6" and 500 feet of pipe, single nozzle of varying size
2" dia.
0
2000
4000
6000
8000
10000
25 50 75 100 150
Static head (ft)
2" dia.
3" dia.
4" dia.
6" dia.
power vs. static head for 2" pipe, optimal nozzle dia.
q (Usgpm)
static
head (ft)
pipe dia
(in)
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe velocity
(ft/s)
nozzle velocity
based on
friction (ft/s)
nozzle
velocity
(ft/s)
27 50 2 0.5 17.33 ## 2.76 45.85 44.12
34 75 2 0.5 26.59 ## 3.47 55.81 55.56
40 100 2 0.5 36.02 ## 4.09 64.16 65.36
44 125 2 0.5 43.08 ## 4.49 72.60 71.90
48 150 2 0.5 50.75 ## 4.90 79.91 78.43
56 200 2 0.5 67.90 ## 5.72 92.19 91.50
power vs. static head for 3" pipe, optimal nozzle dia.
q (Usgpm)
static
head (ft)
pipe dia
(in)
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe velocity
(ft/s)
nozzle velocity
based on
friction (ft/s)
nozzle
velocity
(ft/s)
96 50 3 1 24.56 ## 4.36 40.46 39.22
120 75 3 1 37.42 ## 5.45 49.17 49.02
139 100 3 1 49.47 ## 6.31 57.02 56.78
156 125 3 1 61.63 ## 7.08 63.85 63.73
172 150 3 1 74.27 ## 7.81 69.80 70.26
198 200 3 1 97.28 ## 8.99 81.30 80.88
power vs. static head for 4" pipe, optimal nozzle dia.
q (Usgpm)
static
head (ft)
pipe dia
(in)
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe velocity
(ft/s)
nozzle velocity
based on
friction (ft/s)
nozzle
velocity
(ft/s)
175 50 4 1.25 18.06 ## 4.47 45.33 45.75
213 75 4 1.25 26.18 ## 5.44 56.04 55.69
247 100 4 1.25 34.69 ## 6.31 64.82 64.58
278 125 4 1.25 43.46 ## 7.10 72.43 72.68
305 150 4 1.25 51.89 ## 7.79 79.45 79.74
351 200 4 1.25 67.93 ## 8.96 92.18 91.77
power vs. static head for 6" pipe, optimal nozzle dia.
q (Usgpm)
static
head (ft)
pipe dia
(in)
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe velocity
(ft/s)
nozzle velocity
based on
friction (ft/s)
nozzle
velocity
(ft/s)
290 50 6 1.5 6.19 ## 3.29 53.09 52.65
360 75 6 1.5 9.28 ## 4.09 65.02 65.36
415 100 6 1.5 12.14 ## 4.71 75.19 75.35
464 125 6 1.5 15.00 ## 5.27 84.13 84.24
510 150 6 1.5 17.95 ## 5.79 92.18 92.59
585 200 6 1.5 23.31 ## 6.64 106.62 106.21
water jet
power (W)
power at
turbine wheel
(W)
elec. cost
per month
pipe length
(ft) turbine rpm turbine dia.
154 69 $3.49 1000 1264 4
307 138 $6.97 1000 1061 6
500 225 $11.35 1000 1248 6
666 300 $15.11 1000 1373 6
865 389 $19.62 1000 1498 6
1373 618 $31.15 1000 1748 6
water jet
power (W)
power at
turbine wheel
(W)
elec. cost
per month
pipe length
(ft) turbine rpm turbine dia.
432 195 $9.81 1000 1124 4
845 380 $19.16 1000 936 6
1313 591 $29.77 1000 1085 6
1856 835 $42.08 1000 1217 6
2487 1119 $56.41 1000 1342 6
3794 1707 $86.05 1000 1545 6
water jet
power (W)
power at
turbine wheel
(W)
elec. cost
per month
pipe length
(ft) turbine rpm turbine dia.
1073 483 $24.33 1000 1311 4
1935 871 $43.88 1000 1595 4
3017 1358 $68.42 1000 1233 6
4301 1936 $97.55 1000 1388 6
5680 2556 $128.83 1000 1523 6
8657 3896 $196.35 1000 1753 6
water jet
power (W)
power at
turbine wheel
(W)
elec. cost
per month
pipe length
(ft) turbine rpm turbine dia.
2355 1060 $53.40 1000 1006 6
4504 2027 $102.16 1000 1248 6
6901 3105 $156.50 1000 1439 6
9645 4340 $218.74 1000 1609 6
12807 5763 $290.46 1000 1769 6
19329 8698 $438.38 1000 2029 6
0
1000
2000
3000
4000
5000
6000
7000
Po
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Power vs. pipe dia. at static heads from 50 to 150 ft and 1000 feet of pipe, single
Note: the calculations are a result of an iterative process, the flow number in column A must be changed up or down such that the velocity that corresponds to friction in column J is equal to the velocity that corresponds to flow in column K
9000
10000
Po
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Power vs. static head at various pipe dias. from 2" to 6" and 1000 feet of
0
1000
2000
3000
4000
5000
6000
7000
8000
9000
Po
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2 3 4 6
Pipe diameter (in)
Power vs. pipe dia. at static heads from 50 to 150 ft and 1000 feet of pipe, single nozzle of varying size
Static head
0.5" nozzle 1" nozzle 1.25" nozzle 1.5" nozzle
Note: the calculations are a result of an iterative process, the flow number in column A must be changed up or down such that the velocity that corresponds to friction in column J is equal to the velocity that corresponds to flow in column K
Power vs. static head at various pipe dias. from 2" to 6" and 1000 feet of pipe, single nozzle of varying size
50 75 100 125 150 200
Static head (ft)
50 ft
75 ft
100 ft
150 ft
Static head
Power vs. static head at various pipe dias. from 2" to 6" and 1000 feet of
2" dia.
3" dia.
4" dia.
6" dia.
power vs. static head for 2" pipe, optimal nozzle dia.
q (Usgpm)
static
head (ft)
pipe dia
(in)
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe velocity
(ft/s)
nozzle velocity
based on friction
(ft/s)
nozzle
velocity (ft/s)
17 50 2 0.375 14.83 # # 1.74 47.57 49.38
20 75 2 0.375 19.95 # # 2.04 59.51 58.10
24 100 2 0.375 27.89 # # 2.45 68.12 69.72
27 125 2 0.375 34.66 # # 2.76 76.24 78.43
29 150 2 0.375 39.56 # # 2.96 84.29 84.24
34 200 2 0.375 53.17 # # 3.47 97.19 98.77
power vs. static head for 3" pipe, optimal nozzle dia.
q (Usgpm)
static
head (ft)
pipe dia
(in)
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe velocity
(ft/s)
nozzle velocity
based on friction
(ft/s)
nozzle
velocity (ft/s)
60 50 3 0.75 20.42 # # 2.72 43.63 43.57
74 75 3 0.75 30.16 # # 3.36 53.71 53.74
86 100 3 0.75 39.95 # # 3.90 62.16 62.46
97 125 3 0.75 50.08 # # 4.40 69.43 70.44
105 150 3 0.75 58.15 # # 4.77 76.87 76.25
122 200 3 0.75 77.23 # # 5.54 88.88 88.60
power vs. static head for 4" pipe, optimal nozzle dia.
q (Usgpm)
static
head (ft)
pipe dia
(in)
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe velocity
(ft/s)
nozzle velocity
based on friction
(ft/s)
nozzle
velocity (ft/s)
115 50 4 1 16.45 # # 2.94 46.46 46.98
140 75 4 1 23.74 # # 3.57 57.43 57.19
163 100 4 1 31.59 # # 4.16 66.34 66.59
182 125 4 1 38.89 # # 4.65 74.44 74.35
200 150 4 1 46.47 # # 5.11 81.61 81.70
232 200 4 1 61.58 # # 5.92 94.37 94.77
power vs. static head for 6" pipe, optimal nozzle dia. 1.5" max. dia.
q (Usgpm)
static
head (ft)
pipe dia
(in)
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe velocity
(ft/s)
nozzle velocity
based on friction
(ft/s)
nozzle
velocity (ft/s)
275 50 6 1.5 11.20 # # 3.12 49.96 49.93
340 75 6 1.5 16.67 # # 3.86 61.26 61.73
390 100 6 1.5 21.59 # # 4.43 71.03 70.81
442 125 6 1.5 27.36 # # 5.02 79.26 80.25
480 150 6 1.5 31.99 # # 5.45 87.14 87.15
555 200 6 1.5 42.17 # # 6.30 100.77 100.76
water jet
power (W)
power at
turbine wheel
(W)
elec. cost
per month
pipe length
(ft) turbine rpm turbine dia.
121 55 $2.75 2000 1415 4
198 89 $4.48 2000 1110 6
342 154 $7.75 2000 1332 6
486 219 $11.03 2000 1498 6
603 271 $13.67 2000 1207 8
971 437 $22.03 2000 1415 8
water jet
power (W)
power at
turbine wheel
(W)
elec. cost
per month
pipe length
(ft) turbine rpm turbine dia.
334 150 $7.57 2000 1248 4
626 282 $14.20 2000 1026 6
983 442 $22.28 2000 1193 6
1410 634 $31.98 2000 1345 6
1788 805 $40.56 2000 1092 8
2805 1262 $63.62 2000 1269 8
water jet
power (W)
power at
turbine wheel
(W)
elec. cost
per month
pipe length
(ft) turbine rpm turbine dia.
743 335 $16.86 2000 897 6
1341 604 $30.42 2000 1092 6
2117 953 $48.01 2000 1272 6
2947 1326 $66.83 2000 1420 6
3910 1760 $88.68 2000 1170 8
6103 2747 $138.42 2000 1358 8
water jet
power (W)
power at
turbine wheel
(W)
elec. cost
per month
pipe length
(ft) turbine rpm turbine dia.
2008 904 $45.54 2000 1430 4
3795 1708 $86.06 2000 1179 6
5727 2577 $129.89 2000 1352 6
8337 3752 $189.08 2000 1533 6
10677 4805 $242.16 2000 1665 6
16505 7427 $374.34 2000 1925 6
1000
2000
3000
4000
5000
6000
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Note: the calculations are a result of an iterative process, the flow number in column A must be changed up or down such that the velocity that corresponds to friction in column I is equal to the velocity that corresponds to flow in column J
Po
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0
1000
2000
3000
4000
5000
6000
2 3 4 6
Pipe diameter (in)
Power vs. pipe dia. at static heads from 50 to 150 ft and 2000 feet of pipe, single nozzle of varying size
50 ft
75 ft
100 ft
150 ft
Static head
0.37" nozzle 0.75" nozzle 1" nozzle 1.5" nozzle
Note: the calculations are a result of an iterative process, the flow number in column A must be changed up or down such that the velocity that corresponds to friction in column I is equal to the velocity that corresponds to flow in column J
7000
8000
Power vs. static head at various pipe dias. from 2" to 6" and 2000 feet of pipe, single nozzle of varying size
0
1000
2000
3000
4000
5000
6000
7000
50 75 100 125 150 200
Static head (ft)
50 ft
75 ft
100 ft
150 ft
Static head
Power vs. static head at various pipe dias. from 2" to 6"
2" dia.
3" dia.
4" dia.
6" dia.
500 feet, 2 nozzlespower vs. static head for 2" pipe, (2) optimum nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle
velocity
based on
friction
(ft/s)
single
nozzle
velocity
(ft/s)
water jet
power (1)
nozzle
(W)
power at
turbine
wheel (W)
% power
increase
compared
to 1 nozzle
elec. cost
per
month
pipe length
(ft) turbine rpm
turbine
dia.
turbine
rpm
increase
%
34 25 2 2 0.5 13.29 # 3.47 27.44 27.78 38 35 -8% $1.74 500 796 4 -22.7%
48 50 2 2 0.5 25.37 # 4.90 39.81 39.22 108 97 -7% $4.90 500 1124 4 -22.6%
60 75 2 2 0.5 38.70 # 6.13 48.33 49.02 211 190 -2% $9.58 500 1404 4 -21.1%
69 100 2 2 0.5 50.48 # 7.05 56.45 56.37 321 289 -4% $14.57 500 1077 6 -21.6%
85 150 2 2 0.5 75.20 # 8.68 69.37 69.45 600 540 -2% $27.23 500 1326 6 -21.3%
power vs. static head for 3" pipe, (2) optimum nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle
velocity
based on
friction
(ft/s)
single
nozzle
velocity
(ft/s)
water jet
power (1)
nozzle
(W)
power at
turbine
wheel (W)
% power
increase
compared
to 1 nozzle
elec. cost
per
month
pipe length
(ft) turbine rpm
turbine
dia.
turbine
rpm
increase
%
67 25 3 2 0.625 6.27 # 3.04 34.72 35.03 120 108 -4% $5.46 500 1004 4 7.2%
95 50 3 2 0.625 12.04 # 4.31 49.42 49.67 343 309 -3% $15.57 500 1423 4 7.6%
115 75 3 2 0.625 17.26 # 5.22 60.95 60.13 609 548 -5% $27.62 500 1149 6 6.7%
135 100 3 2 0.625 23.40 # 6.13 70.20 70.59 985 887 -3% $44.69 500 1348 6 7.3%
165 150 3 2 0.625 34.30 # 7.49 86.28 86.28 1799 1619 -4% $81.59 500 1648 6 7.2%
power vs. static head for 4" pipe, (2) optimum nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle
velocity
based on
friction
(ft/s)
single
nozzle
velocity
(ft/s)
water jet
power (1)
nozzle
(W)
power at
turbine
wheel (W)
% power
increase
compared
to 1 nozzle
elec. cost
per
month
pipe length
(ft) turbine rpm
turbine
dia.
turbine
rpm
increase
%
162 25 4 2 1 7.81 # 4.14 33.26 33.09 260 234 0% $11.78 500 948 4 4.1%
230 50 4 2 1 15.14 # 5.87 47.36 46.98 743 669 -1% $33.72 500 1346 4 3.5%
285 75 4 2 1 22.79 # 7.28 57.96 58.21 1414 1273 2% $64.15 500 1668 4 4.8%
330 100 4 2 1 30.17 # 8.43 67.03 67.40 2196 1976 2% $99.59 500 1287 6 4.6%
405 150 4 2 1 44.74 # 10.34 82.30 82.72 4059 3653 1% $184.10 500 1185 8 4.3%
power vs. static head for 6" pipe, (2) 0.5" dia. Nozzle
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle
velocity
based on
friction
(ft/s)
single
nozzle
velocity
(ft/s)
water jet
power (1)
nozzle
(W)
power at
turbine
wheel (W)
% power
increase
compared
to 1 nozzle
elec. cost
per
month
pipe length
(ft) turbine rpm
turbine
dia.
turbine
rpm
increase
%
390 25 6 2 1.5 5.40 # 4.43 35.51 35.40 716 644 49% $32.47 500 1014 4 -9.3%
555 50 6 2 1.5 10.54 # 6.30 50.39 50.38 2063 1857 58% $93.58 500 1443 4 -7.5%
680 75 6 2 1.5 15.54 # 7.72 61.85 61.73 3795 3415 55% $172.13 500 1179 6 -8.1%
790 100 6 2 1.5 20.72 # 8.96 71.42 71.71 5950 5355 61% $269.90 500 1370 6 -7.1%
970 150 6 2 1.5 30.78 # 11.01 87.58 88.05 11014 9913 58% $499.62 500 1261 8 -7.6%
increase is due to limit on nozzle size of 1.5" on the single nozzle case.
500 feet, 3 nozzlespower vs. static head for 2" pipe, (3) optimum nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle
velocity
based on
friction
(ft/s)
single
nozzle
velocity
(ft/s)
water jet
power (1)
nozzle
(W)
power at
turbine
wheel (W)
% power
increase
compared
to 1 nozzle
elec. cost
per
month
pipe
length (ft) turbine rpm
turbine
dia.
turbine
rpm
increase
%
31 25 2.00 3 0.375 11.19 # # 3.17 29.80 30.02 27 37 -2% $1.86 500 860 4 -16.5%
44 50 2.00 3 0.375 21.54 # # 4.49 42.79 42.61 78 105 0% $5.31 500 1221 4 -15.9%
54 75 2.00 3 0.375 31.69 # # 5.51 52.79 52.29 144 195 1% $9.81 500 1498 4 -15.8%
63 100 2.00 3 0.375 42.45 # # 6.43 60.85 61.00 229 309 3% $15.57 500 1165 6 -15.2%
77 150 2.00 3 0.375 62.24 # # 7.86 75.14 74.56 418 564 2% $28.43 500 1424 6 -15.5%
power vs. static head for 3" pipe, (3) optimum nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle
velocity
based on
friction
(ft/s)
single
nozzle
velocity
(ft/s)
water jet
power (1)
nozzle
(W)
power at
turbine
wheel (W)
% power
increase
compared
to 1 nozzle
elec. cost
per
month
pipe
length (ft) turbine rpm
turbine
dia.
turbine
rpm
increase
%
65 25 3.00 3 0.5 5.92 # # 2.95 35.04 35.40 80 107 -5% $5.41 500 1014 4 8.3%
92 50 3.00 3 0.5 11.33 # # 4.18 49.88 50.11 226 304 -4% $15.35 500 1436 4 8.6%
112 75 3.00 3 0.5 16.42 # # 5.08 61.39 61.00 407 549 -5% $27.69 500 1165 6 8.2%
130 100 3.00 3 0.5 21.78 # # 5.90 70.94 70.81 636 859 -6% $43.30 500 1352 6 7.7%
160 150 3.00 3 0.5 32.34 # # 7.26 87.01 87.15 1186 1602 -5% $80.72 500 1665 6 8.3%
power vs. static head for 4" pipe, (3) optimum nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle
velocity
based on
friction
(ft/s)
single
nozzle
velocity
(ft/s)
water jet
power (1)
nozzle
(W)
power at
turbine
wheel (W)
% power
increase
compared
to 1 nozzle
elec. cost
per
month
pipe
length (ft) turbine rpm
turbine
dia.
turbine
rpm
increase
%
145 25 4.00 3 0.75 6.34 # # 3.70 34.65 35.10 174 235 1% $11.87 500 1006 4 10.5%
205 50 4.00 3 0.75 12.17 # # 5.23 49.33 49.63 493 665 -2% $33.54 500 1422 4 9.3%
250 75 4.00 3 0.75 17.75 # # 6.38 60.69 60.52 894 1207 -3% $60.82 500 1734 4 8.9%
290 100 4.00 3 0.75 23.56 # # 7.40 70.13 70.20 1395 1884 -3% $94.94 500 1341 6 8.9%
355 150 4.00 3 0.75 34.71 # # 9.06 86.12 85.94 2560 3456 -5% $174.16 500 1231 8 8.3%
power vs. static head for 6" pipe, (3) optimum nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle
dia. (in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle
velocity
based on
friction
(ft/s)
single
nozzle
velocity
(ft/s)
water jet
power (1)
nozzle
(W)
power at
turbine
wheel (W)
% power
increase
compared
to 1 nozzle
elec. cost
per
month
pipe
length (ft) turbine rpm
turbine
dia.
turbine
rpm
increase
%
400 25 6.00 3 1.25 5.66 # # 4.54 35.27 34.86 475 641 48% $32.29 500 999 4 -10.7%
570 50 6.00 3 1.25 11.09 # # 6.47 50.03 49.67 1373 1854 58% $93.43 500 1423 4 -8.8%
700 75 6.00 3 1.25 16.43 # # 7.94 61.39 61.00 2543 3433 56% $173.04 500 1165 6 -9.2%
815 100 6.00 3 1.25 22.00 # # 9.25 70.84 71.02 4014 5419 62% $273.11 500 1357 6 -8.0%
1000 150 6.00 3 1.25 32.65 # # 11.35 86.89 87.15 7415 10010 59% $504.50 500 1248 8 -8.6%
increase is due to limit on nozzle size of 1.5" on the single nozzle case.
500 feet, 4 nozzlespower vs. static head for 2" pipe, (4) optimum nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle
dia.
(in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle
velocity
based on
friction
(ft/s)
single
nozzle
velocity
(ft/s)
water jet
power (1)
nozzle
(W)
power at
turbine
wheel (W)
% power
increase
compared
to 1 nozzle
elec. cost
per
month
pipe
length (ft) turbine rpm
turbine
dia.
turbine
rpm
increase
%
22 25 2.00 4 0.25 5.94 # 2.25 35.02 35.95 21 37 0% $1.89 500 1030 4 0.0%
31 50 2.00 4 0.25 11.19 # 3.17 49.97 50.65 58 105 0% $5.28 500 1451 4 0.0%
38 75 2.00 4 0.25 16.36 # 3.88 61.42 62.09 107 193 0% $9.73 500 1779 4 0.0%
44 100 2.00 4 0.25 21.54 # 4.49 71.05 71.90 167 300 0% $15.11 500 1373 6 0.0%
54 150 2.00 4 0.25 31.69 # 5.51 87.25 88.24 308 554 0% $27.93 500 1685 6 0.0%
power vs. static head for 3" pipe, (4) optimum nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle
dia.
(in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle
velocity
based on
friction
(ft/s)
single
nozzle
velocity
(ft/s)
water jet
power (1)
nozzle
(W)
power at
turbine
wheel (W)
% power
increase
compared
to 1 nozzle
elec. cost
per
month
pipe
length (ft) turbine rpm
turbine
dia.
turbine
rpm
increase
%
79 25 3.00 4 0.5 8.52 # 3.59 32.56 32.27 60 108 -4% $5.47 500 925 4 -1.3%
114 50 3.00 4 0.5 16.98 # 5.17 46.09 46.57 181 326 3% $16.42 500 1334 4 0.9%
140 75 3.00 4 0.5 25.07 # 6.35 56.68 57.19 335 604 4% $30.42 500 1092 6 1.4%
160 100 3.00 4 0.5 32.34 # 7.26 65.98 65.36 500 901 -2% $45.41 500 1248 6 -0.6%
197 150 3.00 4 0.5 48.17 # 8.94 80.94 80.47 934 1682 0% $84.75 500 1537 6 0.0%
power vs. static head for 4" pipe, (4) optimum nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle
dia.
(in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle
velocity
based on
friction
(ft/s)
single
nozzle
velocity
(ft/s)
water jet
power (1)
nozzle
(W)
power at
turbine
wheel (W)
% power
increase
compared
to 1 nozzle
elec. cost
per
month
pipe
length (ft) turbine rpm
turbine
dia.
turbine
rpm
increase
%
175 25 4.00 4 0.75 9.03 # 4.47 32.06 31.77 129 233 0% $11.74 500 910 4 0.0%
250 50 4.00 4 0.75 17.75 # 6.38 45.55 45.39 377 679 0% $34.21 500 1300 4 0.0%
310 75 4.00 4 0.75 26.77 # 7.91 55.71 56.28 719 1294 4% $65.23 500 1612 4 1.3%
355 100 4.00 4 0.75 34.71 # 9.06 64.81 64.45 1080 1944 0% $97.96 500 1231 6 0.0%
440 150 4.00 4 0.75 52.50 # 11.23 79.20 79.88 2056 3701 2% $186.53 500 1144 8 0.7%
power vs. static head for 6" pipe, (4) optimum nozzle dia.
q (Usgpm)
static
head (ft) pipe dia (in)
no. of
nozzles
nozzle
dia.
(in) HF (ft) f coef.Reynolds no.
pipe
velocity
(ft/s)
nozzle
velocity
based on
friction
(ft/s)
single
nozzle
velocity
(ft/s)
water jet
power (1)
nozzle
(W)
power at
turbine
wheel (W)
% power
increase
compared
to 1 nozzle
elec. cost
per
month
pipe
length (ft) turbine rpm
turbine
dia.
turbine
rpm
increase
%
500 25 6.00 4 1.25 8.64 # 5.67 32.44 32.68 391 704 63% $35.47 500 936 4 -16.3%
710 50 6.00 4 1.25 16.88 # 8.06 46.16 46.41 1120 2015 72% $101.57 500 1330 4 -14.8%
900 75 6.00 4 1.25 26.64 # 10.21 55.78 58.82 2280 4105 87% $206.88 500 1124 6 -12.4%
1000 100 6.00 4 1.25 32.65 # 11.35 65.83 65.36 3128 5631 69% $283.78 500 1248 6 -15.3%
1230 150 6.00 4 1.25 48.76 # 13.96 80.71 80.39 5821 10478 67% $528.08 500 1152 8 -15.7%
increase is due to limit on nozzle size of 1.5" on the single nozzle case.
Note: the calculations are a result of an iterative process, the flow number in column A must be changed up or down such that the velocity that corresponds to friction in column J is equal to the velocity that corresponds to flow in column K