power vs. static head for 3" pipe, optimal nozzle dia. max 1.5" dia. q (Usgpm) static head (ft) pipe dia (in) nozzle dia. (i HF (ft) f coef. Reynolds n 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
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
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.
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
Po
we
r a
t tu
rbin
e w
he
el (w
att
s)
Power vs. static head at various pipe dias. from 2" to 6" and 500 feet of pipe, single
0
2000
4000
6000
8000
10000
Po
we
r a
t tu
rbin
e w
he
el (w
att
s)
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
we
r a
t tu
rbin
e w
hee
l (w
att
s)
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
we
r a
t tu
rbin
e w
he
el (w
att
s)
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
we
r a
t tu
rbin
e w
he
el (w
att
s)
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
Po
wer
at
turb
ine w
heel (w
att
s)
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
we
r a
t tu
rbin
e w
hee
l (w
att
s)
Po
we
r a
t tu
rbin
e w
hee
l (w
att
s)
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.
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