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For flow over a plate, the variation of velocity with

Chapter 2, Problem 69P

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QUESTION:

Problem 69P

For flow over a plate, the variation of velocity with vertical distance y from the plate is given as u(y) = ay  by2where a and b are constants. Obtain a relation for the wall shear stress in terms ofa, b, andµ.

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QUESTION:

Problem 69P

For flow over a plate, the variation of velocity with vertical distance y from the plate is given as u(y) = ay  by2where a and b are constants. Obtain a relation for the wall shear stress in terms ofa, b, andµ.

ANSWER:

Step 1

The shear stress  is given by

Here  is the coefficient of viscosity.

 as a function of  is given in this question, we have to find out .

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