A solid sheet of aluminum sinks through a viscous molten polymer in a novel coating process (see attached sketch). The sheet has a small thickness (2d) compared to a large surface area (A) that is into the paper as drawn in the sketch. The gap (H) between the sinking sheet and the fixed walls is the same on both sides of the sheet. The aluminum sheet sinks at a constant velocity V . Since molten polymers are extremely viscous, the fluid flow in the gap between the aluminum sheet and heated walls is laminar. a.) (2 pts.) Write an expression for the shear stress in the fluid in the gap. b.) (1 pts.) Assuming that the fluid is Newtonian, develop an expression for the x component of velocity as a function of position in the gap. c.) (1 pts.) Develop an expression for the shear stress at the moving wall. 1