A multi-stage pump is required to feed preheated water to a boiler. T…

Question

A multi-stage pump is required to feed preheated water to a boiler. The quantity of water to be handled is 40 liter per second against a pressure difference of $3200\text{ kN/m}^2$. The speed of rotation of impeller being 3000 rpm. The specific weight of the preheated water is $960\text{ kg/m}^3$. All impellers are identical and the specific speed per stage is not to exceed 5400. Determine:

(i) The minimum number of stages and the head per stage.

(ii) The diameter of the impeller assuming a peripheral velocity 0.95 power required to drive the pump, if the overall efficiency is 80%

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