Concept explainers
The streamwise velocity component of a steady incompressible. laminar. flat plate boundary laver of boundary layer thickness
The approximate values of
Answer to Problem 113P
The approximate values of
Explanation of Solution
Write the expression for the velocity profile of sine wave.
Write the expression for the displacement thickness.
Here, the boundary layer thickness is
Substitute
Integrate the Equation (III) between the limits
Thus, the expression for the displacement thickness is
Write the expression for the momentum thickness.
Substitute
Integrate the Equation (V) between the limit
Thus, the momentum thickness is
Write the expression of displacement thickness ratio to boundary layer thickness.
Substitute
Write the expression to calculate the ratio of momentum thickness to boundary layer thickness.
Substitute the
Write the expression for boundary layer thickness by blasius solution.
Here, the location on the flat plate is
Write the expression for displacement thickness by blasius solution.
Write the expression for the momentum thickness by Blasius solution.
Substitute
Substitute
Conclusion:
The approximate values of
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