1. For a flow field of interest you estimate the velocity profile in the laminar boundary layer to be the following U - [2 - 1] (1) for ywhere u = u(x, y) and 6 = 8(x). (a) Make a sketch of the problem. Include your definition of x and y and show the boundary layer with a dashed line. Include on your plot a sketch of the velocity profile u(y) at some particular value of x. (b) Show that this velocity profile satisfies the appropriate boundary conditions. (c) Start from the momentum integral boundary layer equation Tw = PU2 do dx and the definition of the boundary layer momentum thickness to derive an expres- sion for the boundary layer thickness it can be expressed as δ X == = (x). Rearrange your result to show that 5.48 ✓ Rex (d) Compare your result for 8(x) with the exact Blasius solution. Describe any interest- ing features in a sentence or two.