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Solution of the linear problem of thermal convection in liquid rotating layer
Victor K. Andreeva, Liliya I. Latonovab a Institute of Computational Modeling SB RAS, Krasnoyarsk, Russian Federation
b Siberian Federal University, Krasnoyarsk, Russian Federation
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.
Keywords:
thermal convection, Laplace transform, stationary solution.
Received: 29.10.2021 Received in revised form: 19.12.2021 Accepted: 10.02.2022
Citation:
Victor K. Andreev, Liliya I. Latonova, “Solution of the linear problem of thermal convection in liquid rotating layer”, J. Sib. Fed. Univ. Math. Phys., 15:3 (2022), 273–280
Linking options:
https://www.mathnet.ru/eng/jsfu996 https://www.mathnet.ru/eng/jsfu/v15/i3/p273
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Abstract page: | 82 | Full-text PDF : | 28 | References: | 24 |
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