178k views
5 votes
Consider the velocity boundary layer profile for flow over u flat plate to be of the form u = C_1 + C_2 y. Applying appropriate boundary conditions, obtain an expression for the velocity profile in terms of the boundary layer thickness delta and the free stream velocity Using the integral form of the boundary layer momentum equation (Appendix G). obtain expressions for the boundary layer thickness and the local friction coefficient, expressing your result in terms of the local Reynolds number. Compare your results with those obtained from the exact solution (Section 7.2.11 and the integral solution with a cubic profile (Appendix G).

User Petty
by
3.7k points

1 Answer

3 votes

Answer:

The result in terms of the local Reynolds number ⇒ Re = [μ_∞ · x] / v

Step-by-step explanation:

See below my full workings so you can compare the results with those obtained from the exact solution.

Consider the velocity boundary layer profile for flow over u flat plate to be of the-example-1
Consider the velocity boundary layer profile for flow over u flat plate to be of the-example-2
Consider the velocity boundary layer profile for flow over u flat plate to be of the-example-3
User Mike Gleason
by
3.0k points