To determine The value of flow rate. Explanation Write the expression for the area of the pipe. A = π 4 D 2 (I) Here, diameter is D . Write the expression for the velocity of the water in the pipe. V = Q A (II) Here, volume flow rate is Q . Write the expression for Reynolds number. Re = V D ν (III) Here, kinematic viscosity is ν . Write the expression for diameter ratio. β = d D (IV) Here, orifice diameter is d . Write the expression for area of orifice. A n = π 4 d 2 (V) Write the expression for volume flow rate through the orifice meter. Q = C n A n 2 ( p 1 − p 2 ) ρ ( 1 − β 4 ) (VI) Here, discharge coefficient is C n , change in pressure is p 1 − p 2 and density is ρ . Write the expression for change in pressure. p 1 − p 2 = ρ g h (VII) Here, acceleration due to gravity is g . Substitute ρ g h for p 1 − p 2 in Equation (VI) Q = C n A n 2 ρ g h ρ ( 1 − β 4 ) = C n A n 2 g h ( 1 − β 4 ) (VIII) Conclusion: Substitute 2 in for D in Equation (I). A = π 4 ( 2 in ) 2 = π 4 ( 2 in × 1 ft 12 in ) 2 = π 4 ( 1 6 ft ) 2 = 0.0218166 ft 2 Substitute 2 in for D and 1.5 in for d in Equation (IV). β = 1.5 in 2 in = 0.75 Substitute 1.5 in for d in Equation (V). A n = π 4 ( 1.5 in ) 2 = π 4 ( 1.5 in × 1 ft 12 in ) 2 = 0

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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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 8.6, Problem 123P

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The value of flow rate.

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Chapter 8.6, Problem 122P

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

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