Chapter 7, Problem 7.5P

Consider the velocity boundary layer profile for flow over a 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 $u_{\infty }.$ 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 7.2.1) and the integral solution with a cubic profile (Appendix G).