Abstract
The isothermal laminar viscous flow in a long horizontal channel is maintained by a constant pressure drop, while the flowfield is represented by a parabolic profile of the longitudinal velocity component. Nonuniform heating or cooling of the walls leads to a fundamental change in the flow pattern. As is known, heating from below (unstable fluid stratification) is accompanied by the appearance of the Benard cells in the flow [1, 2]. It turns out that closed vortex structures can also appear on heating from above (stable stratification) under certain conditions; they are capable of considerably reducing or increasing the channel drag depending on the flow direction. This paper is devoted to their theoretical study.
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