Water at 10 degree C pumped from a centrifugal pump. D=5 in. impeller at 3500 rp

Question

Water at 10 degree C pumped from a centrifugal pump. D=5 in. impeller at 3500 rpm. Head-capacity characteristic H=95-(1.5*10^-3)*Q^2

H is ft; Q is gpm

The stream from the nozzle rise 40 ft into air. The cross-sectional area of the nozzle is 0.005ft^2

Sine Fire protection, the system send water at least 50 ft high and as much higher as feasible

The two identical pumps may be connected in series or in parallel. We choose which arrangement will shoot the water stream higher

Ev=A*Q^2

Where A is a constant and has same value for all three arrangements.

Question:

Find the flow rate of the existing system. Hint: perform a mechanical energy balance on the rising water stream

Explanation / Answer

flow rate of the existing system = 5.6 gpm

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