Explanation Write the expression for the energy balance equation for the given system including the major losses. p 1 γ + V 1 2 2 g + z 1 + h P = p 2 γ + V 2 2 2 g + z 2 + f l V 2 2 g (I) Here, the pressure at point 1 is p 1 , the velocity at point 1 is V 1 , the elevation at point 1 is z 1 , the power input to the pump is h p , the pressure at point 2 is p 2 , the velocity at point 2 is V 2 , the elevation at point 2 is z 2 , loss coefficient is K L , friction factor is f , and length of the pipe is l . Write the expression to calculate the area of pipe. A = π 4 D 2 (II) Here, the diameter of pipe is D . Write the expression for the velocity using continuity equation. V = Q A (III) Here, discharge is Q . Write the equation for Reynolds number. Re = V D ν (IV) Here, the Reynolds number is Re , the velocity of the fluid is V and the kinematic viscosity of fluid is ν . Write the expression for the power required to operate the pump. P = γ × Q × h p (V) Conclusion: Substitute 3 in. for D in equation (II). A = π 4 ( 3 in . ) 2 = π 4 ( 3 in . × 1 ft 12 in . ) 2 = 0 .04909 ft 2 Substitute 0 .26 ft 3 /s for Q and 0 .04909 ft 2 for A in equation (III). V = 0 .26 ft 3 /s 0 .04909 ft 2 V = 5 .2964 ft/s V 2 = V V 2 = 5 .30 ft/s Refer table B.1, “Physical properties of water” at a temperature of 40 ° F , ν = 1.664 × 10 − 5 ft 2 /s Substitute 5 .30 ft/s for V , 3 in. for D , and 1.664 × 10 − 5 ft 2 /s for ν in equation (IV). Re = ( 5 .30 ft/s ) ( 3 in . ) 1.664 × 10 − 5 ft 2 /s = ( 5 .30 ft/s ) ( 3 in . × 1 ft 12 in . ) 1.664 × 10 − 5 ft 2 /s = 7 .96 × 10 4 >4000 Thus, the flow in the pipe is turbulent flow. Refer Table 8.1 “Equivalent Roughness for New Pipes”, Equivalent Roughness for steel pipe is 0.00015 ft. Calculate the relative roughness of the pipe. ε D = 0.00015 ft ( 3 in . ) ε D = 0.00015 ft ( 3 in . × 1 ft 12 in

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 73P

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Chapter 8.5, Problem 72P

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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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