The stramwise velocity component of steady, incompressible, laminar, flat plate boundary layer thickness
Answer: 0.500, 0.167
FIGURE P10-97
The comparison between different ratio when approximation method and blasius methods are used simultaneously.
Answer to Problem 97P
The approximation value for
The approximation value for
The blasius solution for
The blasius solution for
Explanation of Solution
Given information:
Write the expression for velocity profile if
Here, boundary layer thickness is
Write the expression for velocity profile if
Here, maximum velocity of the laminar flow over the flat plate is
Write the expression for displacement thickness.
Write the expression for momentum thickness.
Write the expression for Blasius solution for boundary layer thickness.
Here, any location on flat plate is
Write the expression for Blasius solution for displacement thickness.
Write the expression for Blasius solution for momentum thickness.
Write the expression for the ratio of displacement thickness to boundary layer thickness.
Write the expression for momentum thickness to boundary layer thickness.
Calculation:
Substitute
The displacement thickness
Substitute
The momentum thickness
Substitute
Ratio of displacement thickness to boundary layer thickness is
Substitute
Ratio of displacement thickness to boundary layer thickness is
Divide Equation (VI) with Equation (V) when blasius solution is considered.
Divide Equation (VII) with Equation (V) when blasius solution is considered.
Conclusion:
The approximation value for
The approximation value for
The blasius solution for
The blasius solution for
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Chapter 10 Solutions
Fluid Mechanics: Fundamentals and Applications
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