For N = 1000
Formulas:
Capacity of Pump
Q 2 n2
=
Q1 n1
𝐐𝟐 = Q1 (
n2
)
n1
Brake Power
P2
n2 3
=( )
P1
n1
n2 3
𝐏𝟐 = P1 ( )
n1
Total Dynamic Head
H1
n1 2
=( )
H2
n2
2
n
𝐇𝟐 =H1 (n1 )
2
Pump Efficiency
𝐧𝒑 % =
FP
𝑥100%
P
Fluid Power
𝐅𝐏 = γ x Q x TDH
Capacity of Pump
n1= 1200 rpm
If Q1= 7000 gpm then;
n2= 1000 rpm
𝐐𝟐 = (7000 gpm) (
1000 rpm
)
1200 rpm
n2
𝐐𝟐 = Q1 ( )
n1
𝑸𝟐 = 𝟓𝟖𝟑𝟑. 𝟑𝟑𝟑𝟑𝟑𝟑 𝒈𝒑𝒎
If Q1= 0 gpm then;
If Q1= 7400 gpm then;
1000 rpm
𝐐𝟐 = (0 gpm) (
)
1200 rpm
𝐐𝟐 = (7400 gpm) (
𝑸𝟐 = 𝟎 𝒈𝒑𝒎
𝑸𝟐 = 𝟔𝟏𝟔𝟔. 𝟔𝟔𝟔𝟔𝟔𝟕 𝒈𝒑𝒎
If Q1= 1600 gpm then;
If Q1= 7900 gpm then;
𝐐𝟐 = (1600 gpm) (
1000 rpm
)
1200 rpm
𝐐𝟐 = (7900 gpm) (
1000 rpm
)
1200 rpm
1000 rpm
)
1200 rpm
𝑸𝟐 = 𝟏𝟑𝟑𝟑. 𝟑𝟑𝟑𝟑𝟑𝟑 𝒈𝒑𝒎
𝑸𝟐 = 𝟔𝟓𝟖𝟑. 𝟑𝟑𝟑𝟑𝟑𝟑 𝒈𝒑𝒎
If Q1= 3100 gpm then;
If Q1= 8200 gpm then;
𝐐𝟐 = (3100 gpm) (
1000 rpm
)
1200 rpm
𝑸𝟐 = 𝟐𝟓𝟖𝟑. 𝟑𝟑𝟑𝟑𝟑𝟑 𝒈𝒑𝒎
If Q1= 4300 gpm then;
𝐐𝟐 = (4300 gpm) (
1000 rpm
)
1200 rpm
𝑸𝟐 = 𝟑𝟓𝟖𝟑. 𝟑𝟑𝟑𝟑𝟑𝟑 𝒈𝒑𝒎
If Q1= 5700 gpm then;
𝐐𝟐 = (5700 gpm) (
𝑸𝟐 = 𝟒𝟕𝟓𝟎 𝒈𝒑𝒎
1000 rpm
)
1200 rpm
𝐐𝟐 = (8200 gpm) (
1000 rpm
)
1200 rpm
𝑸𝟐 = 𝟔𝟖𝟑𝟑. 𝟑𝟑𝟑𝟑𝟑𝟑 𝒈𝒑𝒎
Brake Power
n1= 1200 rpm
If P1= 377.5 hp then;
n2= 1000 rpm
1000 rpm 3
𝐏𝟐 = (377.5 hp) (
)
1200 rpm
𝐏𝟐 = P1 (
n2 3
)
n1
𝑷𝟐 = 𝟐𝟏𝟖. 𝟒𝟔𝟎𝟔𝟒𝟖𝟏 hp
If P1= 197.5 hp then;
If P1= 390 hp then;
1000 rpm 3
𝐏𝟐 = (197.5 hp) (
)
1200 rpm
𝐏𝟐 = (390 hp) (
𝑷𝟐 = 𝟏𝟏𝟒. 𝟐𝟗𝟑𝟗𝟖𝟏𝟓 hp
𝑷𝟐 = 𝟐𝟐𝟓. 𝟔𝟗𝟒𝟒𝟒𝟒𝟒 hp
If P1= 237.5 hp then;
If P1= 400 hp then;
1000 rpm 3
𝐏𝟐 = (237.5 hp) (
)
1200 rpm
𝐏𝟐 = (400 hp) (
𝑷𝟐 = 𝟏𝟑𝟕. 𝟒𝟒𝟐𝟏𝟐𝟗𝟔 hp
𝑷𝟐 = 𝟐𝟑𝟏. 𝟒𝟖𝟏𝟒𝟖𝟏𝟓 hp
If P1= 270 hp then;
If P1= 395 hp then;
𝐏𝟐 = (270 hp) (
1000 rpm 3
)
1200 rpm
𝑷𝟐 = 𝟏𝟓𝟔. 𝟐𝟓 hp
If P1= 305 hp then;
𝐏𝟐 = (305 hp) (
1000 rpm 3
)
1200 rpm
𝑷𝟐 = 𝟏𝟕𝟔. 𝟓𝟎𝟒𝟔𝟐𝟗𝟔 hp
If P1= 345 hp then;
𝐏𝟐 = (345 hp) (
1000 rpm 3
)
1200 rpm
𝑷𝟐 = 𝟏𝟗𝟗. 𝟔𝟓𝟐𝟕𝟕𝟕𝟖 hp
𝐏𝟐 = (395 hp) (
1000 rpm 3
)
1200 rpm
1000 rpm 3
)
1200 rpm
1000 rpm 3
)
1200 rpm
𝑷𝟐 = 𝟐𝟐𝟖. 𝟓𝟖𝟕𝟗𝟔𝟑 hp
Total Dynamic Head
n1= 1200 rpm
If H1= 194 ft then;
1000 rpm 2
n2= 1000 rpm
𝐇𝟐 = (194 ft) (1200 rpm)
n 2
n2
𝐇𝟐 = H1 ( 1 )
𝑯𝟐 = 134.7222222 ft
If H1= 222.5 ft then;
If H1= 187.5 ft then;
1000 rpm 2
1000 rpm 2
𝐇𝟐 = (222.5 ft) (1200 rpm)
𝐇𝟐 = (187.5 ft) (1200 rpm)
𝑯𝟐 = 154.5138889 ft
𝑯𝟐 = 130.2083333 ft
If H1= 220 ft then;
If H1= 175 ft then;
1000 rpm 2
1000 rpm 2
𝐇𝟐 = (220 ft) (1200 rpm)
𝐇𝟐 = (175 ft) (1200 rpm)
𝑯𝟐 = 152.7777778 ft
𝑯𝟐 = 121.5277778 ft
If H1= 215 ft then;
If H1= 162.55 ft then;
1000 rpm 2
)
1200 rpm
1000 rpm 2
𝐇𝟐 = (215 ft) (
𝐇𝟐 = (162.5 ft) (1200 rpm)
𝑯𝟐 = 149.3055556 ft
𝑯𝟐 = 112.8472222 ft
If H1= 210 ft then;
1000 rpm 2
)
1200 rpm
𝐇𝟐 = (210 ft) (
𝑯𝟐 = 145.8333333 ft
If H1= 202.5 ft then;
1000 rpm 2
𝐇𝟐 = (202.5 ft) (1200 rpm)
𝑯𝟐 = 140.625 ft
Capacity of Pump
n1= 1200 rpm
If Q1= 7000 gpm then;
n2= 1400 rpm
𝐐𝟐 = (7000 gpm) (
1400 rpm
)
1200 rpm
n2
𝐐𝟐 = Q1 ( )
n1
𝑸𝟐 = 𝟖𝟏𝟔𝟔. 𝟔𝟔𝟔𝟔𝟔𝟕 𝒈𝒑𝒎
If Q1= 0 gpm then;
If Q1= 7400 gpm then;
1400 rpm
𝐐𝟐 = (0 gpm) (
)
1200 rpm
𝐐𝟐 = (7400 gpm) (
𝑸𝟐 = 𝟎 𝒈𝒑𝒎
𝑸𝟐 = 𝟖𝟔𝟑𝟑. 𝟑𝟑𝟑𝟑𝟑𝟑 𝒈𝒑𝒎
If Q1= 1600 gpm then;
If Q1= 7900 gpm then;
𝐐𝟐 = (1600 gpm) (
1400 rpm
)
1200 rpm
𝐐𝟐 = (7900 gpm) (
1400 rpm
)
1200 rpm
1400 rpm
)
1200 rpm
𝑸𝟐 = 𝟏𝟖𝟔𝟔. 𝟔𝟔𝟔𝟔𝟔𝟕 𝒈𝒑𝒎
𝑸𝟐 = 𝟗𝟐𝟏𝟔. 𝟔𝟔𝟔𝟔𝟔𝟕 𝒈𝒑𝒎
If Q1= 3100 gpm then;
If Q1= 8200 gpm then;
𝐐𝟐 = (3100 gpm) (
1400 rpm
)
1200 rpm
𝑸𝟐 = 𝟑𝟔𝟏𝟔. 𝟔𝟔𝟔𝟔𝟔𝟕𝒈𝒑𝒎
If Q1= 4300 gpm then;
𝐐𝟐 = (4300 gpm) (
1400 rpm
)
1200 rpm
𝑸𝟐 = 𝟓𝟎𝟏𝟔. 𝟔𝟔𝟔𝟔𝟔𝟔𝟕 𝒈𝒑𝒎
If Q1= 5700 gpm then;
𝐐𝟐 = (5700 gpm) (
𝑸𝟐 = 𝟔𝟔𝟓𝟎 𝒈𝒑𝒎
1400 rpm
)
1200 rpm
𝐐𝟐 = (8200 gpm) (
1400 rpm
)
1200 rpm
𝑸𝟐 = 𝟗𝟓𝟔𝟔. 𝟔𝟔𝟔𝟔𝟔𝟕 𝒈𝒑𝒎
Brake Power
n1= 1200 rpm
If P1= 377.5 hp then;
n2= 1400 rpm
1400 rpm 3
𝐏𝟐 = (377.5 hp) (
)
1200 rpm
𝐏𝟐 = P1 (
n2 3
)
n1
𝑷𝟐 = 𝟓𝟗𝟗. 𝟒𝟓𝟔𝟎𝟏𝟖𝟓 hp
If P1= 197.5 hp then;
If P1= 390 hp then;
1400 rpm 3
𝐏𝟐 = (197.5 hp) (
)
1200 rpm
𝐏𝟐 = (390 hp) (
𝑷𝟐 = 𝟑𝟏𝟑. 𝟔𝟐𝟐𝟔𝟖𝟓𝟐 hp
𝑷𝟐 = 𝟔𝟏𝟗. 𝟑𝟎𝟓𝟓𝟓𝟓𝟔 hp
If P1= 237.5 hp then;
If P1= 400 hp then;
1400 rpm 3
𝐏𝟐 = (237.5 hp) (
)
1200 rpm
𝐏𝟐 = (400 hp) (
𝑷𝟐 = 𝟑𝟕𝟕. 𝟏𝟒𝟏𝟐𝟎𝟑𝟕 hp
𝑷𝟐 = 𝟔𝟑𝟓. 𝟏𝟖𝟓𝟏𝟖𝟓𝟐 hp
If P1= 270 hp then;
If P1= 395 hp then;
𝐏𝟐 = (270 hp) (
1400 rpm 3
)
1200 rpm
𝑷𝟐 = 𝟒𝟐𝟖. 𝟕𝟓 hp
If P1= 305 hp then;
𝐏𝟐 = (305 hp) (
1400 rpm 3
)
1200 rpm
𝑷𝟐 = 𝟒𝟖𝟒. 𝟑𝟐𝟖𝟕𝟎𝟑𝟕 hp
If P1= 345 hp then;
𝐏𝟐 = (345 hp) (
1400 rpm 3
)
1200 rpm
𝑷𝟐 = 𝟓𝟒𝟕. 𝟖𝟒𝟕𝟐𝟐𝟐𝟐 hp
𝐏𝟐 = (395 hp) (
1400 rpm 3
)
1200 rpm
1400 rpm 3
)
1200 rpm
1400 rpm 3
)
1200 rpm
𝑷𝟐 = 𝟔𝟐𝟕. 𝟐𝟒𝟓𝟑𝟕𝟎𝟒 hp
Total Dynamic Head
n1= 1200 rpm
If H1= 194 ft then;
1400 rpm 2
n2= 1400 rpm
𝐇𝟐 = (194 ft) (1200 rpm)
n 2
n2
𝐇𝟐 = H1 ( 1 )
𝑯𝟐 = 264.0555555 ft
If H1= 222.5 ft then;
If H1= 187.5 ft then;
1400 rpm 2
1400 rpm 2
𝐇𝟐 = (222.5 ft) (1200 rpm)
𝐇𝟐 = (187.5 ft) (1200 rpm)
𝑯𝟐 = 302.8472222 ft
𝑯𝟐 = 255.2083333 ft
If H1= 220 ft then;
If H1= 175 ft then;
1400 rpm 2
1400 rpm 2
𝐇𝟐 = (220 ft) (1200 rpm)
𝐇𝟐 = (175 ft) (1200 rpm)
𝑯𝟐 = 299.4444444 ft
𝑯𝟐 = 238.1944444 ft
If H1= 215 ft then;
If H1= 162.55 ft then;
1400 rpm 2
)
1200 rpm
1400 rpm 2
𝐇𝟐 = (215 ft) (
𝐇𝟐 = (162.5 ft) (1200 rpm)
𝑯𝟐 = 292.6388889 ft
𝑯𝟐 = 221.1805556 ft
If H1= 210 ft then;
1400 rpm 2
)
1200 rpm
𝐇𝟐 = (210 ft) (
𝑯𝟐 = 285.8333333 ft
If H1= 202.5 ft then;
1400 rpm 2
𝐇𝟐 = (202.5 ft) (1200 rpm)
𝑯𝟐 = 275.625 ft