Journal of Siberian Federal University. Mathematics & Physics / Solution of the Linear Problem of Thermal Convection in Liquid Rotating Layer

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (3)
Authors
Andreev, Victor K.; Latonova, Liliya I.
Contact information
Andreev, Victor K.: Institute of Computational Modelling SB RAS Krasnoyarsk, Russian Federation; Siberian Federal University Krasnoyarsk, Russian Federation; ; Latonova, Liliya I.: Siberian Federal University Krasnoyarsk, Russian Federation;
Keywords
thermal convection; Laplace transform; stationary solution
Abstract

The initial boundary problem arising in the modeling of viscous fluid creeping rotational motion in a flat layer was solved. A stationary solution was found. The quadrature solution in images was obtained using the Laplace transform method. The time convergence of the the non-stationary problem solution to the established stationary solution was proved under certain conditions on the temperature distribution on the walls

Pages
273–280
DOI
10.17516/1997-1397-2022-15-3-273-280
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/145506