A centrifugal pump is pumping water at the design conditions with a flowrate of 2300 gpm and a tangential velocity of U2=65ft/s. The flow passage area at the outlet is A2=1ft2. About 5% of the flow is recirculated internally and pumped again. The actual head rise of the pump is 94ft and the blade angle at outlet is 28º. Knowing that the total number of blades is Zb=24, the power needed to operate the pump is Ps=65hp.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A centrifugal pump is pumping water at the design conditions with a flowrate of 2300 gpm and a tangential velocity of U2=65ft/s. The flow passage area at the outlet is A2=1ft2. About 5% of the flow is recirculated internally and pumped again. The actual head rise of the pump is 94ft and the blade angle at outlet is 28º. Knowing that the total number of blades is Zb=24, the power needed to operate the pump is Ps=65hp.

 Take g = 9.81 m/s2 = 32.2 ft/s2 & ρw = 998 kg/m3 =1.94 Slug/ft3.

 

Estimate the theoretical head of the pump in ft using Stodola’s formula (Hi).


 

 

 

Determine the mechanical efficiency of the pump (ηm).

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