Fluid flows due to a pressure difference in the x-direction in a narrow channel between two stationary, flat plates with the coordinate system as shown in the figure. The length of the plate is L, and the depth D. For laminar flow, answer the following questions. a. List all simplifying assumptions and boundary conditions. b. Simplify the continuity equation for the system c. Reduce the Navier-Stokes equations by eliminating terms d. Solve the differential equation and boundary conditions for the velocity profile. Sketch the velocity profile. e. At what point does the maximum velocity exist and what is the maximum velocity? f. At what point does the minimum velocity exist and what is the minimum velocity? g. Determine the average velocity in the narrow channel. How is the average velocity related to the maximum velocity? h. How does the shear stress change with y-coordinate? Where is the shear stress of maximum magnitude and what is its value? Where is the shear stress of minimum magnitude and what is its value