A semi-infinite body of liquid with constant density and viscosity is bounded below by a horizontal surface (the x-z plane). Initially the fluid and the solid are at rest. Then at time t=0, the solid...

A semi-infinite body of liquid with constant density and viscosity is bounded below by a horizontal surface (the x-z plane). Initially the fluid and the solid are at rest. Then at time t=0, the solid surface is set in motion in the positive x direction with velocity v0. Find the velocity vx as a function of y and t. There is no pressure gradient or gravity force in x direction and the flow is presumed to be laminar.