For the pump having the characteristics shown in Problem 14.14, operating at maximum efficiency with the speed increased to 1000 rpm, what will be (a) the new discharge flow rate and (b) the power required at this new speed?

Data From Problem 14.14

Performance curves for an operating centrifugal pump are shown below in both conventional units and in dimensionless form. The pump is used to pump water at maximum efficiency at a head of 90 m. Determine, at these new conditions, (a) the pump speed required and (b) the rate of discharge.

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6. CH 1.00 Efficiency, n 0.75 Cp 3 0.50 0.25 0.04 0.08 0.12 0.16 Co dɔ u 250 100 200 80 Efficiency Power input 150 60 Нead 100 40 360 грm 50 d = 39 cm 0.05 0.10 0.15 0.20 0.25 Discharge, m³/s Head, m; Power, kW 20 Efficiency, %