In-class exercise: Analysis of differential fluid elements Couette flow is the flow between two parallel plates, which are H apart, as shown in the figure below. Normally, the bottom plate is at rest, while the top plate is moving at a velocity U. Then, sketch the velocity profiles in the following cases: a. Find an equation describing the velocity of the flow in this figure. b. Sketch the velocity profiles in the following cases: dxdP0,dxdP=0,dxdP0