The water is pumped from a river to a water tank with a flow rate of...
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The water is pumped from a river to a water tank with a flow rate of 1.5 ft/s using a galvanized iron pipe system having 3 flanged 90 smooth bends and a sharp-edged exit. The length of the pipe system is 125 ft, and its diameter is 5 in. The elevation difference between the river and the free surface of the tank is 12 ft. The water velocity near the river surface is 6 ft/s. Calculate the required electric power input to the pump where the overall pump efficiency is 70 percent. Assumptions: 1. The flow is steady, incompressible and fully-developed. 2. The effect of the kinetic energy correction factor is negligible, a = 1 3. The density and dynamic viscosity of water are p = 62.30 lbm/ft and = 6.556x10-4 lbm/ft.s 4. The roughness of galvanized iron pipe is = 0.0005 ft. 5. K for a 90 smooth bend = 0.3 and K for a sharp-edged exit = 1.0 6. 1 ft 12 in, 1 lbf = 32 lbm.ft/s2 and 1kW = 787 lbf.ft/s the River 5 in 125 ft 1.5 ft/s 12 ft Water tank The water is pumped from a river to a water tank with a flow rate of 1.5 ft/s using a galvanized iron pipe system having 3 flanged 90 smooth bends and a sharp-edged exit. The length of the pipe system is 125 ft, and its diameter is 5 in. The elevation difference between the river and the free surface of the tank is 12 ft. The water velocity near the river surface is 6 ft/s. Calculate the required electric power input to the pump where the overall pump efficiency is 70 percent. Assumptions: 1. The flow is steady, incompressible and fully-developed. 2. The effect of the kinetic energy correction factor is negligible, a = 1 3. The density and dynamic viscosity of water are p = 62.30 lbm/ft and = 6.556x10-4 lbm/ft.s 4. The roughness of galvanized iron pipe is = 0.0005 ft. 5. K for a 90 smooth bend = 0.3 and K for a sharp-edged exit = 1.0 6. 1 ft 12 in, 1 lbf = 32 lbm.ft/s2 and 1kW = 787 lbf.ft/s the River 5 in 125 ft 1.5 ft/s 12 ft Water tank
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To calculate the required electric power input to the pump we should consider the energy equation for fluid flow Bernoullis equation with pump work an... View the full answer
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