To determine The value of height. 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 0.0218166 ft 2 for A and 0.1 ft 3 / s for Q in Equation (II). V = 0.1 ft 3 / s 0.0218166 ft 2 = 4.58 ft / s Refer to table-1.5 “Approximate physical properties of some common fluids”.to obtain kinematic viscosity as 1.21 × 10 − 5 ft 2 / s Substitute 1

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 8.6, Problem 122P

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The value of height.

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Chapter 8 Solutions

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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