Two infinite parallel plates separated by a distance of H with the upper plate moving at a velocity U with respect to the lower plate are given. An incompressible, constant-property fluid moves through the two plates because of the movement of the upper plate. Assume laminar flow. Lower plate releases a constant heat flux of q , into the liquid and the upper plate is insulated. 1. Reduce mass, momentum and energy equations to their simpler forms for this situation. Use these expressions as their original forms. (20%) op a at Ox (pu) + a ay (pv)=0 Qu a'u a'u P + pu-+ pv ap at Ox ay Ox Ox ? t H dy ? Ov av ov a'v a'v P + pu + pv op + H ax ay ay + H aT aT aT a'T pc a'T at + pc u + pc u = k ax ax + k ay ay 2. Derive algebraic expressions for velocity, and temperature profiles between the two plates. (30%) 3. Derive an expression for Nusselt number at the lower plate using the temperature profile. What is the value of Nusselt number at the top plate and why? (50%)