To determine The flow rate for the given condition. Explanation Apply Bernoulli's equation at point (1) free surface of the tank and point (2) exit of the pipe. p 1 ρ g + V 1 2 2 g + z 1 = p 2 ρ g + V 2 2 2 g + z 2 + h l o s s e s p 1 ρ g + V 1 2 2 g + z 1 = p 2 ρ g + V 2 2 2 g + z 2 − f L V 2 2 2 g d (I) Here, the pressure is p , the velocity is V , the datum head is z , the friction factor is f , the density is ρ . Write the expression for Reynolds number. Re = V d υ (II) Write the Haaland equation. 1 f = − 1.8 log [ ( ε / d 3.7 ) 1.11 + 6.9 Re ] (III) Write the expression to find the Flow rate. Q = A V (IV) Conclusion: Substitute, 0 for p 1 , p 2 , 0 for V 1 , 0 for z 1 , − 4 ft for z 2 , 0.02 for f , 0.125 in for d in Equation (I). 0 ρ g + 0 2 2 g + 0 = 0 ρ g + V 2 2 2 × 32.2 − 4 + 0.02 × 48 in × 1 12 ft in . × V 2 2 2 × 32.2 × 0.125 × 1 12 ft in . 0.1347 V 2 2 = 4 V 2 = 5.447 ft / s Obtain the equivalent roughness for commercial steel pipe from; “ Table 8.1 Equivalent Roughness for New Pipes”. ε = 0.00015 ft Calculate ε d . ε d = 0.00015 ft 0.125 12 ft ε d = 0.0144 Obtain the properties of water at ambient conditions 70 ° F from; “ Table B.1 Physical properties of water. υ = 1.06 × 10 − 5 ft 2 / s Substitute, 5.447 ft / s for V , 1.06 × 10 − 5 ft 2 / s for and 0.125 in for d in Equation (II). Re = 5

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version

8th Edition

ISBN: 9781119080701

Author: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein

Publisher: WILEY

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Chapter 8.5, Problem 94P

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Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version

Ch. 8.1 - Prob. 1P Ch. 8.1 - Rainwater runoff from a parking lot flows through...Ch. 8.1 - Blue and yellow streams of paint at 60 °F (each...Ch. 8.1 - Air at 200 °F flows at standard atmospheric...Ch. 8.1 - To cool a given room it is necessary to supply 4...Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - (See The Wide World of Fluids article titled...Ch. 8.2 - For fully developed laminar pipe flow in a...Ch. 8.2 - Prob. 10P

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