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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.

MSC:

76D99 Incompressible viscous fluids
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