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Solution: Converging duct flow is modeled by the steady,

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

Solution for problem 58P 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 58P

Converging duct flow is modeled by the steady, two- dimensional velocity field of Prob. 4‒17. Use the equation for volumetric strain rate to verify that this flow field is incompressible.

Step-by-Step Solution:

Step 1:

        The given converging duct flow is steady and two dimensional velocity field. We need to show that flow field is incompressible and express the equation for volumetric strain rate.

Step 2:        

The expression for two dimensional velocity field

        = =  - -----(1)

 =  --------(2)

 = --------(3)

Step 3:

        Volumetric strain rate is the rate of increase in volume of a fluid element per unit volume. The expression for volumetric strain given by the cartesian coordinate system is

         =  = ++ ------(4)

        Where  ,and  are the linear strain rates in the cartesian coordinates.

        =

        =

        =

Step 4 of 5

Chapter 4, Problem 58P is Solved
Step 5 of 5

Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

The answer to “Converging duct flow is modeled by the steady, two- dimensional velocity field of Prob. 4?17. Use the equation for volumetric strain rate to verify that this flow field is incompressible.” is broken down into a number of easy to follow steps, and 30 words. Since the solution to 58P from 4 chapter was answered, more than 276 students have viewed the full step-by-step answer. Fluid Mechanics was written by and is associated to the ISBN: 9780071284219. The full step-by-step solution to problem: 58P from chapter: 4 was answered by , our top Engineering and Tech solution expert on 07/03/17, 04:51AM. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2. This full solution covers the following key subjects: Field, flow, prob, equation, Converging. This expansive textbook survival guide covers 15 chapters, and 1547 solutions.

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Solution: Converging duct flow is modeled by the steady,

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