Geodesic
Plane-Parallel Advective Flow in a Horizontal Layer of
Russian journal of nonlinear dynamics, Tome 19 (2023) no. 2, pp. 219-226

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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: advective flow, Navier – Stokes equation.
Mots-clés : exact solution 
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     author = {K. G. Shvarts},
     title = {Plane-Parallel {Advective} {Flow} in a {Horizontal} {Layer} of},
     journal = {Russian journal of nonlinear dynamics},
     pages = {219--226},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2023_19_2_a3/}
}
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K. G. Shvarts. Plane-Parallel Advective Flow in a Horizontal Layer of. Russian journal of nonlinear dynamics, Tome 19 (2023) no. 2, pp. 219-226. http://geodesic.mathdoc.fr/item/ND_2023_19_2_a3/