A constant-density, Newtonian fluid is subjected to a steady flow in a parallel-plate apparatus as sketched below. The two long, wide parallel plates...

A constant-density, Newtonian fluid is subjected to a steady flow in a parallel-plate apparatus as sketched below. The two long, wide parallel plates are separated by a distance H. The top plate is moving with a velocity Vwall to the right, as shown. There is a small backwards pressure gradient −∆p / L in the x−direction. You may neglect gravity. Calculate the velocity profile.