Inhomogeneous Couette flows for a two-layer fluid
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Inhomogeneous Couette flows for a two-layer fluid
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| Автор |
Burmasheva, N. V.
Larina, E. A. Prosviryakov, E. Yu. |
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| Тематика |
COUNTERCURRENT
EXACT SOLUTION FIELD STRATIFICATION STRATIFIED VISCOUS FLUID |
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| Описание |
The paper presents a new exact solution to the Navier–Stokes equations which describes a steady shearing isothermal flow of an incompressible two-layer fluid stratified in terms of density and/or viscosity, the vertical velocity of the fluid being zero. This exact solution belongs to the class of functions linear in terms of spatial coordinates, and it is an extension of the classical Couette flow in an extended horizontal layer to the case of non-one-dimensional non-uniform flows. The solution constructed for each layer is studied for the ability to describe the appearance of stagnation points in the velocity field and the generation of counterflows. It has been found that the flow of a two-layer fluid is stratified into two zones where the fluid flows in counter directions. It is also shown that the tangential stress tensor components can change their sign. © Authors, 2023.
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| Дата |
2024-04-05T16:37:55Z
2024-04-05T16:37:55Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Burmasheva, N, Larina, E & Prosviryakov, E 2023, 'Inhomogeneous Couette flows for a two-layer fluid', Вестник Самарского государственного технического университета. Серия: Физико-математические науки, Том. 27, № 3, стр. 530-543. https://doi.org/10.14498/vsgtu1968
Burmasheva, N., Larina, E., & Prosviryakov, E. (2023). Inhomogeneous Couette flows for a two-layer fluid. Вестник Самарского государственного технического университета. Серия: Физико-математические науки, 27(3), 530-543. https://doi.org/10.14498/vsgtu1968 1991-8615 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85180080773&doi=10.14498%2fVSGTU1968&partnerID=40&md5=557a05da99dd5465f8843c1aa36d7fcc https://www.mathnet.ru/php/getFT.phtml?jrnid=vsgtu&paperid=1968&what=fullt&option_lang=rus http://elar.urfu.ru/handle/10995/131061 54955297 10.14498/VSGTU1968 85180080773 001125031100008 |
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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/ |
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| Формат |
application/pdf
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| Издатель |
Samara State Technical University
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| Источник |
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta, Seriya Fiziko-Matematicheskie Nauki |
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