To determine The required power output of the pump for the given discharge. Explanation Given: The height between the reservoirs ( z B ) is 20 m. The diameter of the pipe ( d ) is 200 mm . The pipe length ( L ) is 4 km. The head loss due to friction in the pipe ( h f 200 m ) is ( 2.5 m 500 m ) . The discharge of water ( Q ) is 0.8 m 3 / s . Calculation: Calculate the head loss throughout the pipe length. h L = L × ( 2.5 m 500 m ) h L = ( 4 km × 1,000 m 1 km ) × ( 2.5 m 500 m ) = 20 m Consider that water flow in the pipe as control volume. Consider that oil in the pipe as control volume. Inlet and outlet of the pipe are opened to atmosphere so the pressure at inlet and outlet are zero. p in = 0 and p out = 0 . The intake and outlet velocity is very small because of the high reservoir capacity. thus, V in = 0 and V out = 0 . Pipe Inlet and outlet is in the same horizontal position. So datum level, z in = 0 and z out = 0 . Write the expression for the discharge to obtain the outlet velocity ( V o u t ) . Q = V o u t A 0.8 m 3 /s = V o u t × ( π 4 × ( 200 mm ) 2 ) 0.8 m 3 /s = V o u t × ( π 4 × ( 200 mm × 1 m 1000 mm ) 2 ) V o u t = 25

2nd Edition

ISBN: 9780134649290

Author: Russell C. Hibbeler

Publisher: PEARSON

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A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

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Chapter 5, Problem 84P

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The required power output of the pump for the given discharge.

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Chapter 5, Problem 83P

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Fluid Mechanics (2nd Edition)

Ch. 5 - Prob. 1FP Ch. 5 - Oil is subjected to a pressure of 300 kPa at A,...Ch. 5 - Prob. 3FP Ch. 5 - Water flows through the pipe at 8 m/s. Determine...Ch. 5 - The tank has a square base and is filled with...Ch. 5 - Prob. 6FP Ch. 5 - Water flows from the reservoir through the...Ch. 5 - Crude oil flows through the 50-mm-diameter pipe...Ch. 5 - Water at A has a pressure of 400 kPa and a...Ch. 5 - Water from the reservoir flows through the...

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