2. Water needs to be delivered from a reservoir using centrifugal pump(s) at a flow rate of 400 m³/h through a pipe of internal diameter 150 mm, to a tank

30m higher. The connecting pipe system consists of total 80 m length of pipe containing two 90° standard elbows. Additionally, it has two pipe fittings. Across the first pipe fitting there is a loss of 7 m of water and the second pipe fitting is equivalent of 45 pipe diameters. The pipe internal roughness height, e = 0.045mm. a) Calculate the mean velocity of the flow in the pipeline and, assuming the viscosity of the water is 0.001 kg/m s, calculate the Reynolds number, Re, for the pipe flow and the friction factor using the Churchill b) Calculate the total head the pump must supply (Hdemand) to deliver the required flow rate of water in the system. Note that minor losses for pipe entrance, pipe exit and 90°standard elbow are 25, 50 and 35 number of diameters of pipe equivalent length, respectively. (6) c) Using the pump characteristics supplied in Figure Q2 determine how many intermediate pumping stations will be required and what diameter impeller would you select? (6) d) What is the efficiency of the pump and what is the total power requirement?(4) e) What is the net positive suction head (NPSH) required in order to guarantee no cavitation? (3)