Effects of the side walls in generalized Couette flow

The effects of the side walls on the flow of an incompressible viscous fluid in a conduit of rectangular cross-section by the combined effect of the velocity of the top wall and a constant pressure gradient along the conduit are considered. For this purpose, four different flow conditions are used. In the first case, a separation occurs at the bottom wall. In the second case, the volume flux is zero. In the third case, a separation occurs at the top wall. In the fourth case, the flow is set up by the motion of the top wall in the absence of the pressure gradient. Furthermore, the effect of the side walls in a channel of rectangular cross-section is discussed.