Effects of the side walls in generalized Couette flow. (English) Zbl 0906.76015

Summary: We consider the effects of the side walls on the flow of an incompressible viscous fluid in a channel of rectangular cross-section. More precisely, we consider the combined effects of the velocity of the top wall and of a constant pressure gradient along the channel. 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.


76D99 Incompressible viscous fluids