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# A steady, incompressible, two-dimensional velocity field ISBN: 9780071284219 39

## Solution for problem 18P Chapter 4

Fluid Mechanics | 2nd Edition

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Problem 18P

A steady, incompressible, two-dimensional velocity field is given by the following components in the xy-plane: Calculate the acceleration field (find expressions for acceleration components a x and a y), and calculate the acceleration at the point(x, y) = (-1, 2).

Step-by-Step Solution:

Step 1:

The two dimensional velocity field for a steady, incompressible flow in the xy plane = ----(1) = -----(2)

Step 2:

To calculate the acceleration field components and Calculating x component = + + + ----(3)

Since t and w are not given in the velocity field, they get cancelled = 0 ; = 0

Step 3: =  =  =  = Step 4:

Substituting derived values = +  = +  = ----(4)

Step 5 of 7

Step 6 of 7

##### ISBN: 9780071284219

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