A centrifugal pump is used to raise water against a static head of 18.0 m. The suction and delivery pipes, both 0.15 m diameter, have, respectively, friction head losses amounting to 2.25 and 7.5 times the dynamic head. The impeller, which rotates at 1450 rev/min, is 0.25 m diameter with eight vanes, radius ratio 0.45, inclined backward at β'2 = 60°. The axial width of the impeller is designed so as to give constant radial velocity at all radii and is 20 mm at impeller exit. Assuming a hydraulic efficiency of 0.82 and an overall efficiency of 0.72, determine
a. the volume flow rate;
b. the slip factor using Busemann's method;
c. the impeller vane inlet angle required for zero incidence angle;
d. the power required to drive the pump.