The drinking water to a village is supplied from a reservoir which is 475 m above and 25 km away from the village. The water is transported from the reservoir to an open-top storage tank in the village via a circular pipe with a diameter of 18 cm and a roughness of 0.15 mm. The population of the village is 1500 people. There are two valves (K=2) and five 90° elbows (K=1.5) along the pipe. Assuming that an average person in the village consumes 225 L/day, determine the power (kW) of the pump needed to transter the water from the reservoir to the storage tank. You can take the density and viscosity of water as 1000 kg/m and 0.001 kg/m s, respectively, and you can neglect the inlet and exit losses and the kinetic energy correction factor effects.

Consider a pump system that delivers water at a flow of Q = 5 cubic feet per second (cfs) in a steel pipe (ɛ = 0.00020 feet) between two large open reservoirs. The diameter of both the suction pipe and the discharge pipe is D = 12 inches. The friction factor is f = 0.015646. The total length of the pipe is L = 1,525 feet. The water surface elevation of the receiving reservoir is 80 feet higher than the water surface elevation of the supply reservoir so (z2 – z1) = 80 feet. The water temperature is 50°F. The kinematic viscosity of the water is 1.41 x 10 5 ft2/s. The efficiency of the pump is 68% and the efficiency of the electric motor is 88%. Use the Darcy-Weisbach equation to evaluate the friction head loss. Also, evaluate the minor head losses. The pipe section on the suction side of the pump and has a diameter of D1 = 12 inches, a length of L1 = 25 feet, and a friction factor of f = 0.015646. The entrance from the reservoir into the suction pipe is a projecting entrance. Then, there…

Water is transported by gravity through a 10-cmdiameter 550-m-long plastic pipe with an elevation gradient of 0.01 (i.e., an elevation drop of 1 m per 100 m of pipe length). Taking ? = 1000 kg/m3 and ? = 1 × 10−6 m2/s for water, determine the flow rate of water through the pipe. If the pipe were horizontal, what would the power requirements be to maintain the same flow rate?