7. As shown in the figure below, a pump lifts water through a 100-mm diameter ductile iron pipe (friction factor f = 0.0251) from a lower to an upper reservoir. If the difference in elevation between the reservoir surfaces is 10m, and the pump performance curve is given by H = 15 - 0.1Q2, where H is in m and Q in L/s. (1) Determine the system head curve (relationship between TDH and Q) assuming the entrance and exit loss coefficients are both 1; (2) Estimate the flow rate through the system; (3) If the minimum NPSH for this case is 1.5m, determine the maximum height above the lower reservoir that the pump can be placed (assuming that the atmospheric pressure Pa=101 kPa, specific weight of water γ = 9.79 kN/m3, and the water vapor pressure Pv = 2.34 kPa).
7. As shown in the figure below, a pump lifts water through a 100-mm diameter ductile iron pipe (friction factor f = 0.0251) from a lower to an upper reservoir. If the difference in elevation between the reservoir surfaces is 10m, and the pump performance curve is given by H = 15 - 0.1Q2, where H is in m and Q in L/s.
(1) Determine the system head curve (relationship between TDH and Q) assuming the entrance and exit loss coefficients are both 1;
(2) Estimate the flow rate through the system;
(3) If the minimum NPSH for this case is 1.5m, determine the maximum height above the lower reservoir that the pump can be placed (assuming that the atmospheric pressure Pa=101 kPa, specific weight of water γ = 9.79 kN/m3, and the water vapor pressure Pv = 2.34 kPa).
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