Consider the integral boundary layer equations for momentum and energy below: dx pu(U. -u)dy-dd pudy + = dT dx dx 0 эт Ju(T. -T) dy = Judy + a(37) dx مرا For flow over a flat plate, assume the boundary layer velocity and temperature profiles are LINEAR, as shown below: u(y) y U δ -= T(y)-T y T-T δε For these velocity and temperature profiles, assuming that 8, <8 (i.e. Pr >1), use the procedure for solution of the integral boundary layer equations demonstrated in class to determine an equation for: a) The variation of the velocity boundary layer thickness along the plate, δ τ b) The variation of the friction coefficient along the plate, C.- 1/2pU x c) For the parts above, compare your answers to the results shown in Table 2.1. Also, determine a and az using Eqn. 2.56' and 2.57' and compare to the constants determined in parts a and b. d) The relationship of the temperature boundary layer thickness as a function of the velocity boundary layer thickness, & δ e) The variation of the Nusselt number along the plate, Nu