In: Mechanical Engineering
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.