Exact Solutions to the Navier - Stokes Equations for Describing the Convective Flows of Multilayer Fluids
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Exact Solutions to the Navier - Stokes Equations for Describing the Convective Flows of Multilayer Fluids
|
|
| Автор |
Burmasheva, N. V.
Prosviryakov, E. Yu. |
|
| Тематика |
EXACT SOLUTION
MULTILAYER FLUIDS OBERBECK - BOUSSINESQ EQUATIONS SELF-SIMILAR FLOWS WITH SPATIAL ACCELERATION SHEAR FLOWS |
|
| Описание |
In this paper, we report on several classes of exact solutions for describing the convective flows of multilayer fluids. We show that the class of exact Lin - Sidorov - Aristov solutions is an exact solution to the Oberbeck - Boussinesq system for a fluid discretely stratified in density and viscosity. This class of exact solutions is characterized by the linear dependence of the velocity field on part of coordinates. In this case, the pressure field and the temperature field are quadratic forms. The application of the velocity field with nonlinear dependence on two coordinates has stimulated further development of the Lin - Sidorov - Aristov class. The values of the degrees of the forms of hydrodynamical fields satisfying the Oberbeck - Boussinesq equation are determined. Special attention is given to convective shear flows since the reduced Oberbeck - Boussinesq system will be overdetermined. Conditions for solvability within the framework of these classes are formulated. © 2022 Institute of Computer Science Izhevsk. All rights reserved.
|
|
| Дата |
2024-04-08T11:07:27Z
2024-04-08T11:07:27Z 2022 |
|
| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
|
| Идентификатор |
Burmasheva, NV & Prosviryakov, EY 2022, 'Exact Solutions to the Navier - Stokes Equations for Describing the Convective Flows of Multilayer Fluids', Russian Journal of Nonlinear Dynamics, Том. 18, № 3, стр. 397-410. https://doi.org/10.20537/nd220305
Burmasheva, N. V., & Prosviryakov, E. Y. (2022). Exact Solutions to the Navier - Stokes Equations for Describing the Convective Flows of Multilayer Fluids. Russian Journal of Nonlinear Dynamics, 18(3), 397-410. https://doi.org/10.20537/nd220305 2658-5324 Final All Open Access; Gold Open Access http://nd.ics.org.ru/upload/iblock/833/nd220305.pdf http://nd.ics.org.ru/upload/iblock/833/nd220305.pdf http://elar.urfu.ru/handle/10995/131460 50264545 10.20537/nd220305 85142927313 |
|
| Язык |
en
|
|
| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by-nd https://creativecommons.org/licenses/by-nd/4.0/ |
|
| Формат |
application/pdf
|
|
| Издатель |
Institute of Computer Science Izhevsk
|
|
| Источник |
Nelineinaya Dinamika
Russian Journal of Nonlinear Dynamics |
|