Chapter 11, Problem 11.29PP

In a water pollution control project, the polluted water is pumped vertically upward 80 ft and then sprayed into the air to increase the oxygen content in the water and to evaporate volatile materials. The system is sketched in Fig. 11.28. The polluted water has a specific weight of 64.0 lb/ft³ and a dynamic viscosity of $4.0\times {10}^{-5}lb-s/f{t}^2$. The flow rate is $0.50f{t}^3/s$. The pressure at the inlet to the pump is 3.50 psi below atmospheric pressure. The total length of discharge pipe is 82 ft. The nozzle has a resistance coefficient of 32.6 based on the velocity head in the discharge pipe. Compute the power delivered by the pump to the fluid. If the pump efficiency is 76 percent, compute the power input to the pump.