2) V2 = 0 water tank B Z2 - Z1 (1) Z1 D water tank A pump valve 72
A water pump is used to pump the water to a large water tank as shown in Figure. The free surfaces of both water tanks are under atmospheric pressure. Dimensions and local losses are given below. The flow rate of the pump is determined as 16.2 L/min.
Calculate the required manometric head of the pump and the required motor power if the total efficiency is 76.2 percent. The water at 10oC. density r = 996.2 kg/m3, dynamic viscosity µ = 1.362x10-3kg /ms. z2-z1 = 7.62 m (height difference), D = 2.62 cm (pipe diameter), L = 176.2 m (total pipe length), ɛ = 0.2562 mm (pipe roughness value) Local loss coefficients: KL,inlet = 0.562 (pipe inlet) KL,valve = 16.2 (valve), KL,elbow = 0.9262 (there are 5 elbows totally in pipe line), KL,outlet = 1.0562 (pipe outlet).
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V2 = 0
water tank B
Z2 - Z1
(1)
Z1
D
water tank A
pump
valve
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