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Plane Couette flow. Let's focus on a two-parallel (horizontal) plates system of a separation 2B with the upper plate moving at a positive speed V1 while the lower plate remains stationary. The system contains an incompressible (density ) and Newtonian fluid (viscosity ) with a constant pressure drop (xP>0) along the x direction. The steady-state flow is in the laminar region and is fully developed without any entrance/exit effects. *Please use the coordinates defined as below. The plates are at y=B and y=B Answer the rollowings: (a) Derive velocity distribution and the shear stress component yx. (b) Determine the location where the maximum velocity occurs. (c) Sketch the velocity profile. *Please note that, in b and c of this problem, you will need to discuss two different scenarios - (i) when the contribution of the pressure drop is notably larger than that of the moving plate or (ii) vice versa