A Couette Flow is a simple channel in which an infinitely large plate of velocity U moves over an infinitely large stationary plate. The hydraulic dimension (channel height) is 2b, and the lower and upper plates are at temperature Ts and T1, respectively. Using the mass, momentum, and energy conservation equations, determine (1) the temperature distribution, Ty) inside the channel, and (2) the Nusselt number, Nu2b(Pr, Ec) in terms of the Prandtl number and Eckert number.