Liquid is confined between a top plate having an area A and a fixed surface. A force F is applied to the plate and gives the plate a velocity U. If this causes laminar flow, and the pressure does not...

Liquid is confined between a top plate having an area A and a fixed surface. A force F is applied to the plate and gives the plate a velocity U. If this causes laminar flow, and the pressure does not vary, show that the Navier–Stokes and continuity equations indicate that the velocity distribution for this flow is defined by u = U(y/h), and that the shear stress within the liquid is t_xy
= F/A.