A pump is required to dewater a site as illustrated in Figure EP 4.22. It is required that the water (at 70◦F) be pumped from reservoir 1 to reservoir 2 to an elevation of 450 ft at a discharge of 1.6 ft3 /sec. Assume that the total head loss due to both major (pipe friction) and minor losses (pipe components) is 2 ft between point 1 and the suction side of the pump at point s and 3.9 ft between the discharge side of the pump at point d and point 2. (a) Determine the maximum height, zs to which the fluid may be pumped; otherwise, there will be no flow in the suction line at the suction side of the pump. (b) Determine the maximum allowable velocity of the flow in the pipe without causing cavitation. (c) Determine the minimum required design pipe size diameter in order to accommodate the maximum allowable velocity and the required flowrate. (d) Determine the required head to be delivered by the pump. (e) Determine the required hydraulic power output from the pump. (f) Assuming a typical pump efficiency of 90%, determine the required shaft power input to the pump by the motor. (g) Assuming a typical motor efficiency of 95%, determine the required chemical or electric power input to the motor. (h) Determine the resulting overall pump–motor system efficiency.
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