For a simple water distribution system, a centrifugal water pump is applied to lift water up by Az = 50 (m) through a L = 1,000 (m) long and D = 0.3 (m) diameter pipe. The Darcy-Weisbach frictional factor of the pipe is a constant f= 0.00588. The pump head characteristic curve is given by the pump manufacturer (see figures below). All minor losses are ignored. (1) Please calculate and plot the system curve Hp (m) ~Q (m³/s) on the same graph of the pump curves. Estimate the actual discharge and pump head at the operating point. (Note: suggest calculating pump head Hp for discharge Q = 0.4, 0.5 and 0.6 m³/s to reconstruct the system curve) (2) The atmospheric pressure head is 9.12 m, the vapor pressure head of water is 0.24 m, the length of the suction pipe is 100 m, and the net positive suction head required by the manufacturer is NPSHR = 3.0 m. What is the maximum height above the lower reservoir that the pump can be placed without causing cavitation? 160 140 120 100 80 60 40 50 m Z 20 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 Q (m³/s) Suggested calculation sheet for system curve: Discharge (m³/s) Pump head Hp (m) 0.4 0.5 0.6