FLUID MECHANICS FUNDAMENTALS+APPS
4th Edition
ISBN: 2810022150991
Author: CENGEL
Publisher: MCG
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Chapter 9, Problem 49P
AS a follow-up to Prob. 9-48, calculate the volume flow rate per unit width into the page of Fig. 9-48 from first principles (integration of the velocity field.) Compare your result to that obtaines directly From the stream function. Discuss.
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(a) In a variety of environmental problems, it is common to find fluid motions
that have a cellular character; i.e. the fluid streamlines form closed loops in
the form of a cell. An example of a 2D cellular flow is
ū = sin(rx) cos(ry)î – cos(rx) sin(ry)j
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Ay j. Is this a possible case of incompres-
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%3D
sible flow? If yes, obtain the stream function and find the value of constant A for
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(3, 4) is 18 units.
Axy
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Chapter 9 Solutions
FLUID MECHANICS FUNDAMENTALS+APPS
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