Question

a centrifugal pump operating at 1000 rpm is delivering 80 gpm of water at 150 psig and requires 8 hp of shaft power at the best efficieny point determine the flow rate discharge pressure required shaft power and efficiency

Answer 1

Flow rate = 118.8 gpm, discharge pressure= 331.5 psig, shaft power = 26.3 hp and Efficiency = 87.5%.

Step-by-step explanation:

Without mincing words, let us dive straight into the solution to the question above. So, the following parameters or data are given in the question above:

gpm = 80 gpm, shaft power = 8hp, and the pressure of 150 psig.

The flow rate =[ 80 × 1500] ÷ 100g = 118.9 gpm.

Hence, the discharge pressure = 150 × [ 1500/100]² = 331.5 psig.

Also, the required shaft power = 8 × [ 1500/100]³ = 26.3 hp.

The last part that is the efficiency can be calculated as given below:

Efficiency = [ 80 × 0.00223 × 144 × 150 ] ÷ [550 × 8 ] = 0.875 = 87.5%.