Question

In: Mechanical Engineering

1) The flow rate of a liquid which is discharged by a pump is given by...

1) The flow rate of a liquid which is discharged by a pump is given by Q and the head is given by H. The specific gravity of the liquid which has a standard unit of kg/m2.s2, is denoted by SG. Using dimensional analysis, find the expression for pumping power (P) for this machine.

2) An axial pump has a rotor diameter of 32 cm. The pump discharges water (ρwater = 1000 kg/m3) at a rate of 2.5 m3/min while rotating at 1450 RPM. The energy input to the pump is 120 J/kg and the overall efficiency is 78%. If a scale model of this pump has a rotor diameter of 22 cm and rotates at 2900 RPM, calculate:
(i) flow rate of water in the model pump;
(ii) change in total pressure from the model pump; and
(iii) input power to the model pump.

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