Solution 110P

Step 1 of 4</p>

The x- component of the velocity of the two dimensional steady flow field in xy plane is given, we need to find the expression for y component of velocity such that the flow field is incompressible.

The x component of the velocity is given to be,

………...1

Where a , b and c are constants.

Step 2 of 4</p>The volumetric strain is defined as the ratio of change in volume to original volume or the unit change in volume and is related to linear strain rate for two dimension as,

………..2

Where linear strain rates along x and y direction is and respectively.

In the given case, as the flow is incompressible, the volumetric strain rate must be zeroThat is

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