Chapter 9, Problem 12P

Evaluate the displacement thickness δ^* and the momentum thickness θ for a power law velocity profile given by $\frac{u}{U}={\left(\frac{y}{\delta }\right)}^{1/7}$ Plot the nondimensional velocity profile and show the thicknesses $\frac{{\delta }^{\ast }}{y}$ and $\frac{\theta }{y}$ on the plot. Does this expression satisfy the boundary conditions applicable to a laminar boundary layer?