The municipal district of your hometown commissions you to design a pump and piping system that redirects rainwater to a water tower 50 m above the ground. The cylindrical pipe is 0.3 m in diameter...

The municipal district of your hometown commissions you to design a pump and piping system that redirects rainwater to a water tower 50 m above the ground. The cylindrical pipe is 0.3 m in diameter and runs 1 m underground for 10 km before reaching the base of the tank (Figure 6.66). The city wants a pump with a volumetric flow rate of 500 L/min. The density of water is 1000kg/m3, and its viscosity is 1.00 X 10-3Pas.

(a) Calculate the Reynolds number for flow at maximum capacity through this pipe.

(b) Use this value to find the total friction loss along the underground horizontal section of pipe. Ignore the effects of the pipe bends. You decide to employ two pumps in your design: one pump at position X to account for the friction losses calculated in part

(b), and a second pump at position Y to make up for the energy losses associated with the height change. The pressure at position X is 125 kPa, the pressure at position Y is 120 kPa, and the pressure in the water tower is 100 kPa.

(c) Calculate the horsepower required for each pump. Neglect friction in the vertical section of pipe. Compare the power requirements of the two pumps.