×
Get Full Access to Fluid Mechanics - 2 Edition - Chapter 4 - Problem 62p
Get Full Access to Fluid Mechanics - 2 Edition - Chapter 4 - Problem 62p

×

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

ISBN: 9780071284219 39

## Solution for problem 62P Chapter 4

Fluid Mechanics | 2nd Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Fluid Mechanics | 2nd Edition

4 5 1 246 Reviews
23
3
Problem 62P

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

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

#### Related chapters

Unlock Textbook Solution