(Solved): 5. The basic design of a centrifugal pump has a dimensionless specific speed of \( 0.008 \) rev. T ...

5. The basic design of a centrifugal pump has a dimensionless specific speed of \( 0.008 \) rev. The blades are forward facing on the impeller and the outlet angle is \( 120^{\circ} \) to the tangent, with an impeller passage width at outlet equal to one-tenth of the diameter. The purmp is to be used to pump water a vertical distance of \( 35 \mathrm{~m} \) at a flow rate of \( 0.05 \mathrm{~m}^{3} / \mathrm{s} \). The suction and delivery pipe are esch \( 150 \mathrm{~mm} \) demeter and have a combined length of \( 40 \mathrm{~m} \) with a friction factor of 0.005. Ouher lasses at pipe entry, exit, bends etc- are thee times the velocity head in the pipes. Assume that the blades occupy \( 5 \% \) of the circumferential area and the hydraulic efficiency (neglecting slip) is \( 80 \% \). What must be the diamster of the pump impeller?