Two pipes of identical diameter and material are connected in parallel. The length of pipe A is five times the length of pipe B. Assuming the flow is fully turbulent in both pipes and thus the friction factor is independent of the Reynolds number and disregarding minor losses, determine the ratio of the flow rates in the two pipes.

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?

Water flows from a lake through a 300-m-long pipe having a diameter of 300 mm and a friction factor of f = 0.035. The flow from the pipe passes through a 60-mm-diameter nozzle and is used to drive the Pelton wheel, where the bucket deflection angles are 145 ∘. Neglect minor losses. Determine the power produced when the wheel is turning under optimum conditions. Determine torque produced when the wheel is turning under optimum conditions.