Question

a centrifugal pump delivers water at the rate of 50kg/is . the inlet and outlet pressure are 2 bar and 6.2 bar respectively. the suction is 2.2 m below the center of the pump and delivery is 8.5 m above the above the center of the pump. the suction and delivery pipe diameter are 200 mm and 100 mm respectively. determine the capacity of the electric motor considering the efficiency of motor as 80℅to run the pump.​

Answer 1

21.6 kw

Step-by-step explanation:

Given data:

m = 50 kg/s

Inlet pressure (p1) = 2 bar

outlet pressure(p2) = 6.2 bar

suction ( h1 ) = -2.2 m

delivery ( h2 ) = 8.5 m

d1 = 200 mm = 0.2 m

d2 = 100 mm = 0.1 m

Vs of water = 0.001 m^3/kg

next we have to determine the Q value

Q = V*A

Q = 0.001 * 50 = 0.05 m^3/s

next we have to calculate the various V's

V1 = Q/A1 =
`(0.05*4)/(\pi *0.2^2)` = 1.59 m/s

V2 = Q/A2 =
`(0.05*4)/(\pi *0.1^2)` = 6.37 m/s

Determine the capacity of the electric motor

attached below is the detailed solution