To determine The power output of the turbine. Explanation Given: The diameter at C ( d C ) is 50 mm. The length of the pipe ( L ) is 150 m. The head loss in the pipe is ( 1.5 m 100 m L ) . The efficiency of the turbine ( ε ) is 60%. The velocity of the water at point C ( V c ) is 8 m/s . Calculation: Calculate the discharge ( Q ) . Q = V C A C Q = V C × π 4 × d C 2 Q = 8 m/s × π 4 × ( 50 mm × 1 m 1 , 000 mm ) 2 = 0.015707 m 3 / s Calculate the head loss for the pipe ( h L ) . h L = 1.5 100 L h L = 1.5 100 × 150 = 2.25 m Consider water flow from A to C as control volume. Apply Bernoulli equation between A and C . p A γ w + V A 2 2 g + z A + h pump = p C γ w + V C 2 2 g + z C + h turb + h L (I) Point A and C are opened to atmosphere so the pressure at point A and C are zero

2nd Edition

ISBN: 9780134626055

Author: HIBBELER

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Applied Fluid Mechanics

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 10FP

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