Explanation Express the average axial velocity from the following relation. V a v g = V 1 + V 2 + V 3 + ..... + V 16 n (I) Here, velocities in the corresponding rectangles are V 1 , V 2 , V 3 .... , V 16 and number of smaller rectangular sections is n . Express the relation to calculate the volume flow rate. Q = ∫ A V ⋅ n ^ d A Here, differential area is d A and velocity is V . The velocity in each small rectangular area is taken as the average velocity for that area. Q = ∑ i = 1 16 V ¯ i A i = A i ∑ i = 1 16 V ¯ i (II) Conclusion: Substitute 3 ft / s for V 1 , 3 .4 ft / s for V 2 , 3 .6 ft / s for V 3 , 3 .1 ft / s for V 4 , 3 .7 ft / s for V 5 , 4 ft / s for V 6 , 3 .9 ft / s for V 7 , 3 .8 ft / s for V 8 , 3 .9 ft / s for V 9 , 4 .6 ft / s for V 10 , 4.5 ft / s for V 11 , 4.2 ft / s for V 12 , 3 .7 ft / s for V 13 , 4 .4 ft / s for V 14 , 4 .3 ft / s for V 15 , 3 .9 ft / s for V 16 and 16 for n in Equation (I). V a v g = [ 3 + 3.4 + 3.6 + 3.1 + 3.7 + 4 + 3.9 + 3.8 + 3.9 + 4.6 + 4.5 + 4.2 + 3.7 + 4.4 + 4.3 + 3.9 ] 16 = 62 16 = 3

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ISBN: 9781119547990

Author: HOCHSTEIN

Publisher: JOHN WILEY+SONS INC.

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Chapter 5.1, Problem 23P

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Determine the volume flow rate and average axial velocity.

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Chapter 5 Solutions

EBK MUNSON, YOUNG AND OKIISHI'S FUNDAME

Ch. 5.1 - Prob. 1P Ch. 5.1 - An incompressible fluid flows horizontally in the...Ch. 5.1 - Water flows steadily through the horizontal piping...Ch. 5.1 - Water flows out through a set of thin, closely...Ch. 5.1 - Estimate the rate (in gal/hr) that your car uses...Ch. 5.1 - The pump shown in Fig. P5.6 produces a steady flow...Ch. 5.1 - The fluid axial velocities shown in Fig. P5.7 are...Ch. 5.1 - The human circulatory system consists of a complex...Ch. 5.1 - Air flows steadily between two cross sections in a...Ch. 5.1 - A hydraulic jump (see Video V10.11) is in place...

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