Exact Solutions of Navier–Stokes Equations for Quasi-Two-Dimensional Flows with Rayleigh Friction
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Exact Solutions of Navier–Stokes Equations for Quasi-Two-Dimensional Flows with Rayleigh Friction
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| Автор |
Burmasheva, N.
Ershkov, S. Prosviryakov, E. Leshchenko, D. |
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| Тематика |
EXACT SOLUTIONS
GRADIENT FLOWS ISOBARIC FLOWS KOLMOGOROV FLOW NAVIER–STOKES EQUATIONS OVERDETERMINED SYSTEM RAYLEIGH FRICTION SOLVABILITY CONDITION |
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| Описание |
To solve the problems of geophysical hydrodynamics, it is necessary to integrally take into account the unevenness of the bottom and the free boundary for a large-scale flow of a viscous incompressible fluid. The unevenness of the bottom can be taken into account by setting a new force in the Navier–Stokes equations (the Rayleigh friction force). For solving problems of geophysical hydrodynamics, the velocity field is two-dimensional. In fact, a model representation of a thin (bottom) baroclinic layer is used. Analysis of such flows leads to the redefinition of the system of equations. A compatibility condition is constructed, the fulfillment of which guarantees the existence of a nontrivial solution of the overdetermined system under consideration. A non-trivial exact solution of the overdetermined system is found in the class of Lin–Sidorov–Aristov exact solutions. In this case, the flow velocities are described by linear forms from horizontal (longitudinal) coordinates. Several variants of the pressure representation that do not contradict the form of the equation system are considered. The article presents an algebraic condition for the existence of a non-trivial exact solution with functional arbitrariness for the Lin–Sidorov–Aristov class. The isobaric and gradient flows of a viscous incompressible fluid are considered in detail. © 2023 by the authors.
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| Дата |
2024-04-05T16:20:10Z
2024-04-05T16:20:10Z 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, Ershkov, S, Prosviryakov, E & Leshchenko, D 2023, 'Exact Solutions of Navier–Stokes Equations for Quasi-Two-Dimensional Flows with Rayleigh Friction', Fluids, Том. 8, № 4, 123. https://doi.org/10.3390/fluids8040123
Burmasheva, N., Ershkov, S., Prosviryakov, E., & Leshchenko, D. (2023). Exact Solutions of Navier–Stokes Equations for Quasi-Two-Dimensional Flows with Rayleigh Friction. Fluids, 8(4), [123]. https://doi.org/10.3390/fluids8040123 2311-5521 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85153745747&doi=10.3390%2ffluids8040123&partnerID=40&md5=e75946ea66fc17e57853a6f3fc4893d5 https://www.mdpi.com/2311-5521/8/4/123/pdf?version=1680513447 http://elar.urfu.ru/handle/10995/130419 10.3390/fluids8040123 85153745747 000977490300001 |
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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 |
MDPI
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| Источник |
Fluids
Fluids |
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