Explanation Write the equation for head loss. h L = h p (I) Here, the head loss in pump is h p and the head loss is h L . Write the expression for velocity of the fluid. V = 4 Q π D 2 (II) Here, the velocity of the fluid is V , the diameter of the pipe is D and the discharge of the pipe is Q . Write the expression for head loss. h L = f l V 2 2 g D (III) Here, the friction factor is f , the length of the pipe is l and the accelerations due to gravity is g . Write the expression for pump head loss. h p = W ˙ γ Q (IV) Here, the specific weight of the fluid is γ , the power given by the water is W ˙ . Substitute W ˙ γ Q for h p and f l V 2 2 g D for h L in Equation (I). f l V 2 2 g D = W ˙ γ Q (V) Write the expression for Reynolds number. Re = ρ V D μ (VI) Here, the density of the fluid is ρ , the dynamics viscosity of the fluid is μ and the Reynolds number of the fluid is Re . Write the expression for Colebrook equation. 1 f = − 2.0 log ( 2.51 Re f ) (VII) Conclusion: Substitute 1 m 3 / s for Q in Equation (II). V = 4 × 1 m 3 / s π D 2 = 1.2732 m 3 / s D 2 Substitute 9810 N / m 3 for γ , 1 m 3 / s for Q , 1.2732 m 3 / s D 2 for V , 1.5 km for l , 9 .81 m / s 2 for g and 20 kW for W ˙ in Equation (V). f ( 1

8th Edition

ISBN: 9781119547990

Author: HOCHSTEIN

Publisher: JOHN WILEY+SONS INC.

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Chapter 8.5, Problem 102P

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The diameter of the pipe.

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Chapter 8.5, Problem 101P

Chapter 8.5, Problem 103P

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Chapter 8 Solutions

EBK MUNSON, YOUNG AND OKIISHI'S FUNDAME

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