An Inhomogeneous Steady-State Convection of a Vertical Vortex Fluid
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
An Inhomogeneous Steady-State Convection of a Vertical Vortex Fluid
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| Автор |
Berestova, S. A.
Prosviryakov, E. Yu. |
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| Тематика |
ARISTOV SOLUTIONS
BOUSSINESQ SYSTEM CLASS OF LIN CONVECTION EXACT SOLUTION INHOMOGENEOUS FLOW OBERBECK REVERSE FLOW SHEAR FLOW SIDOROV STRATIFICATION VERTICAL SWIRL OF FLUID |
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| Описание |
An exact solution of the Oberbeck – Boussinesq equations for the description of the steady-state Bénard – Rayleigh convection in an infinitely extensive horizontal layer is presented. This exact solution describes the large-scale motion of a vertical vortex flow outside the field of the Coriolis force. The large-scale fluid flow is considered in the approximation of a thin layer with nondeformable (flat) boundaries. This assumption allows us to describe the large-scale fluid motion as shear motion. Two velocity vector components, called horizontal components, are taken into account. Consequently, the third component of the velocity vector (the vertical velocity) is zero. The shear flow of the vertical vortex flow is described by linear forms from the horizontal coordinates for velocity, temperature and pressure fields. The topology of the steady flow of a viscous incompressible fluid is defined by coefficients of linear forms which have a dependence on the vertical (transverse) coordinate. The functions unknown in advance are exactly defined from the system of ordinary differential equations of order fifteen. The coefficients of the forms are polynomials. The spectral properties of the polynomials in the domain of definition of the solution are investigated. The analysis of distribution of the zeroes of hydrodynamical fields has allowed a definition of the stratification of the physical fields. The paper presents a detailed study of the existence of steady reverse flows in the convective fluid flow of Bénard – Rayleigh – Couette type. © 2023 Institute of Computer Science Izhevsk. All rights reserved.
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| Дата |
2024-04-05T16:19:46Z
2024-04-05T16:19:46Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Berestova, SA & Prosviryakov, EY 2023, 'An Inhomogeneous Steady-State Convection of a Vertical Vortex Fluid', Russian Journal of Nonlinear Dynamics, Том. 19, № 2, стр. 167-186. https://doi.org/10.20537/nd230201
Berestova, S. A., & Prosviryakov, E. Y. (2023). An Inhomogeneous Steady-State Convection of a Vertical Vortex Fluid. Russian Journal of Nonlinear Dynamics, 19(2), 167-186. https://doi.org/10.20537/nd230201 2658-5324 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85152799184&doi=10.20537%2fnd230201&partnerID=40&md5=da74957befe1ddd15e3af760f152d3cc http://nd.ics.org.ru/upload/iblock/2b0/nd230201.pdf http://elar.urfu.ru/handle/10995/130399 54237550 10.20537/nd230201 85152799184 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by-nd https://creativecommons.org/licenses/by-nd/4.0/ |
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| Формат |
application/pdf
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| Издатель |
Institute of Computer Science Izhevsk
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| Источник |
Nelineinaya Dinamika
Russian Journal of Nonlinear Dynamics |
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