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Plane-Parallel Advective Flow in a Horizontal Layer of Incompressible Permeable Fluid
Russian Journal of Nonlinear Dynamics. 2023. Vol. 19. No. 2. P. 219–226.
Shvarts K. G.
In this paper a new exact solution of the Navier – Stokes equations in the Boussinesq approximation describing advective flow in a horizontal liquid layer with free boundaries, where the vertical velocity component is a constant value, is obtained. The temperature is linear along the boundaries of the layer. Solutions of this kind are used to close three-dimensional equations averaged across the layer in the derivation of two-dimensional models of nonisothermal large-scale flows in a thin layer of liquid or incompressible gas. The properties of advective flow at different values of Reynolds number and Prandtl number are investigated.
Keywords: exact solution
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Mukhin S., Mukherjee A., Seidov S., Journal of Experimental and Theoretical Physics 2021 Vol. 132
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