Influence of the Dufour Effect on Shear Thermal Diffusion Flows
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Influence of the Dufour Effect on Shear Thermal Diffusion Flows
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| Автор |
Burmasheva, N. V.
Prosviryakov, E. Y. |
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| Тематика |
COMPATIBILITY CONDITION
DUFOUR EFFECT EXACT SOLUTION OVERDETERMINED SYSTEM SHEAR FLOW THERMAL DIFFUSION |
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| Описание |
The article considers thermal diffusion shear flows of a viscous incompressible fluid with spatial acceleration. The simulation uses a system of thermal diffusion equations (in the Boussinesq approximation), taking into account the Dufour effect. This system makes it possible to describe incompressible gases, for which this effect prevails, from a unified standpoint. It is shown that for shear flows, the system of equations under study is nonlinear and overdetermined. In view of the absence of a theorem on the existence and smoothness of the solution of the Navier–Stokes equation, the integration of the existing system seems to be an extremely difficult task. The article studies the question of the existence of a solution in the class of functions represented as complete linear forms in two Cartesian coordinates with non-linear (with respect to the third Cartesian coordinate) coefficients. It is shown that the system is non-trivially solvable under a certain condition (compatibility condition) constructed by the authors. The corresponding theorem is formulated and proven. These conclusions are illustrated by a comparison with the previously obtained results. © 2022 by the authors.
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| Дата |
2024-04-08T11:08:09Z
2024-04-08T11:08:09Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Burmasheva, NV & Prosviryakov, EY 2022, 'Influence of the Dufour Effect on Shear Thermal Diffusion Flows', Dynamics, Том. 2, № 4, стр. 367-379. https://doi.org/10.3390/dynamics2040021
Burmasheva, N. V., & Prosviryakov, E. Y. (2022). Influence of the Dufour Effect on Shear Thermal Diffusion Flows. Dynamics, 2(4), 367-379. https://doi.org/10.3390/dynamics2040021 2673-8716 Final All Open Access; Gold Open Access https://www.mdpi.com/2673-8716/2/4/21/pdf?version=1667296343 https://www.mdpi.com/2673-8716/2/4/21/pdf?version=1667296343 http://elar.urfu.ru/handle/10995/131582 10.3390/dynamics2040021 85172808880 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
Multidisciplinary Digital Publishing Institute (MDPI)
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| Источник |
Dynamics
Dynamics |
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