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For the velocity field of Prob. 4?63, calculate the shear

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

Solution for problem 62P 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 62P

For the velocity field of Prob. 4‒63, calculate the shear strain rate in the xy-plane.

PROBLEM: A general equation for a steady, two-dimensional velocity field that is linear in both spatial directions (x and y) is

Where U and V and the coefficients are constants. Their dimensions are assumed to be appropriately defined. Calculate the x- and y-components of the acceleration field.

Step-by-Step Solution:

Solution to 61P

Step 1</p>

We need to find the linear strain rates for the given velocity field:

Velocity field is given as :

Where, u and v are material velocity components, a and b are arbitrary constants, x and y are coordinates.

The linear strain rates are given by,

U and v are velocity components.

Step 2 of 2

Chapter 4, Problem 62P is Solved
Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

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For the velocity field of Prob. 4?63, calculate the shear

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