Inhomogeneous Couette flows for a two-layer fluidстатья
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Дата последнего поиска статьи во внешних источниках: 15 февраля 2024 г.
Аннотация:The paper presents a new exact solution to the Navier–Stokes equations which describes a steady shearing isothermal flow of an incompressible
two-layer fluid stratified in terms of density and/or viscosity, the vertical
velocity of the fluid being zero. This exact solution belongs to the class of
functions linear in terms of spatial coordinates, and it is an extension of the
classical Couette flow in an extended horizontal layer to the case of nonone-dimensional non-uniform flows. The solution constructed for each layer is studied for the ability to describe the appearance of stagnation points
in the velocity field and the generation of counterflows. It has been found
that the flow of a two-layer fluid is stratified into two zones where the fluid
flows in counter directions. It is also shown that the tangential stress tensor
components can change their sign.