To determine The flow rate of the nozzle. 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 + V 2 2 g ( f l D + K L ) (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 , pressure at the pipe is V , 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 continuity equation for the pipe and the nozzle. A V = A 2 V 2 V 2 = ( A A 2 ) V (III) Here, area of the pipe is A and area of the nozzle is V 2 . Substitute equation (III) in equation (II). V 2 = ( D D 2 ) 2 V (IV) 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 discharge. Q = A V (V) Conclusion: Substitute 15 mm for D and 7.5 mm for D 2 in equation (IV). V 2 = ( 15 mm 7.5 mm ) 2 V V 2 = 4 V Refer the figure P8.86, Calculate the elevation at point 2. z 2 = l sin 40 ° z 2 = 1.9 m × sin ( 40 ° ) = 1.2213 m Substitute 150 kPa 0 for p 1 , 9.81 kN/m 3 for γ , 0 for V 1 , 0.80 m for z 1 , 0 for p 2 , 4 V for V 2 , 1.2213 m ft for z 2 , 0.11 for f , 1.9 m for l , and 15 mm for D , and 9.81 m/s 2 for g in equation (I). 150 kPa 9.81 kN/m 3 + ( 0 ) + 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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Chapter 8.5, Problem 86P

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The flow rate of the nozzle.

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Chapter 8.5, Problem 85P

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