Air at a free stream temperature of T=20C is in parallel flow over a flat plate of length L=2m and temperature Ts=50C. However, obstacles placed in the flow intensify mixing with increasing distance x from the leading edge, and the spatial variation of temperatures measured in the boundary layer is correlated by an expression of the form T(C)=a+becxy, where x and y are in meters. Determine and plot the manner in which the local convection coefficient h varies with x. Evaluate the average convection coefficient h for the plate. Consider a=10C;b=50C; and c=500(1/m2)