Reconsider Couette flow between two parallel plates as derived in class, but with the top plate moving with a known velocity +i and the bottom plate is moving with a known velocity of-Vi,i. Derive the velocity field in the fluid layer.
Calculate the shear stress vector that the fluid exerts onto the top and bottom plates. Assume steady flow, incompressible, 2D, fully developed, no pressure gradient in the x direction. Fluid density and viscosity can also be treated as known.