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Converging duct flow is modeled by the steady, two-

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala ISBN: 9780071284219 39

Solution for problem 53P Chapter 4

Fluid Mechanics | 2nd Edition

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Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Fluid Mechanics | 2nd Edition

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Problem 53P

Converging duct flow is modeled by the steady, two- dimensional velocity field of Prob. 4‒17. Since the flow is symmetric about the.x-axis. line segment AB along the x-axis remains on the axis, but stretches from length ξ to length ξ+∆ξ  as it flows along the channel centerline (Fig. P4‒55). Generate an analytical expression for the change in length of the line segment. ∆ξ .(Hint: Use the result of Prob. 4‒54.)

FIGURE P4‒55

Step-by-Step Solution:

ANSWER:

Step 1:-

The velocity field is given as,

Where,

     

And .

By certain calculations we found the acceleration field as,

.

Step 2 of 2

Chapter 4, Problem 53P is Solved
Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

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Converging duct flow is modeled by the steady, two-