An incompressible, steady, viscous, and fully developed flow is established between two horizontal parallel plates by moving the upper plate with a constant velocity of U in the (+) X direction, while the lower plate is stationary. The distance between the plates is 2h. Neglect the body force. The fluid has a density of p, viscosity of and thermal conductivity of k. In solving Problem T3.1 (Tutorial3), you have already determined the velocity as, Uo 2h The origin of the reference coordinate axis is placed on the lower wall (y=0), so y=2h for the upper plate. Assume, the wall surface temperatures of the lower plate and the upper plate are kept at Tw1 and Tw2, respectively (where, Tw1 > Tw2 ), a) First, determine the viscous-dissipation function b) Then, obtain the energy equation for this flow configuration c) Now, solve the energy equation of b) to determine the steady temperature distribution of the fluid, T=f(y) d) Simplify the solution of c) if there is no flow (i.e., U,=0). Does this temperature profile represent the conduction heat transfer between the plates? e) f) Assume, both the wall temperatures are the same, (Tw = Tw2 ), what will be new temperature distribution of c)? For this temperature distribution, show that the maximum fluid temperature occurs at y=h. Hint: At the maximum temperature, dy For the velocity distribution of e), will the maximum fluid temperature increase or decrease, if the velocity of the upper plate is increased?