Plane-Parallel Advective Flow in a Horizontal Layer of Incompressible Permeable Fluid
Received 23 September 2022; accepted 23 May 2023; published 16 June 2023
2023, Vol. 19, no. 2, pp. 219-226
Author(s): 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.
Download File PDF, 318.59 Kb |
This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License