ON THE THEORY OF SLOPE FLOWS OVER A THERMALLY INHOMOGENEOUS SURFACE

A two-dimensional stationary linear model of flows arising in a stably (neutral) stratified medium over a thermally inhomogeneous flat inclined surface is analyzed analytically. Temperature deviations that harmonically depend on the horizontal coordinate transverse to the slope are set at the lower...

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Bibliographic Details
Published in:Journal of applied mechanics and technical physics 2022-11, Vol.63 (5), p.843-850
Main Author: Ingel’, L. Kh
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical and Continuum Physics
Classical Mechanics
Exact solutions
Fluid- and Aerodynamics
Inhomogeneity
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Physics
Physics and Astronomy
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Summary:A two-dimensional stationary linear model of flows arising in a stably (neutral) stratified medium over a thermally inhomogeneous flat inclined surface is analyzed analytically. Temperature deviations that harmonically depend on the horizontal coordinate transverse to the slope are set at the lower boundary. Explicit analytical solutions allowing one to analyze emerging density flows are obtained. It is shown that these flows can qualitatively differ, depending on the ratio of the slope angle of the lower boundary and the analog of the Rayleigh number. An expression for the latter includes the horizontal scale of the thermal inhomogeneity region as a spatial scale. An appropriate criterion for distinguishing these flows is established.
ISSN:0021-8944
1573-8620
DOI:10.1134/S0021894422050133