Solving the Hydrodynamical System of Equations of Inhomogeneous Fluid Flows with Thermal Diffusion: A Review
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Solving the Hydrodynamical System of Equations of Inhomogeneous Fluid Flows with Thermal Diffusion: A Review
|
|
| Автор |
Ershkov, S. V.
Prosviryakov, E. Y. Burmasheva, N. V. Christianto, V. |
|
| Тематика |
EXACT SOLUTION
HYDRODYNAMICAL SYSTEM OF EQUATIONS INHOMOGENEOUS FLUID FLOWS NON-STATIONARY SOLUTION STABILITY OF FLOW THERMAL DIFFUSION |
|
| Описание |
The present review analyzes classes of exact solutions for the convection and thermal diffusion equations in the Boussinesq approximation. The exact integration of the Oberbeck–Boussinesq equations for convection and thermal diffusion is more difficult than for the Navier–Stokes equations. It has been shown that the exact integration of the thermal diffusion equations is carried out in the Lin–Sidorov–Aristov class. This class of exact solutions is a generalization of the Ostroumov–Birikh family of exact solutions. The use of the class of exact solutions by Lin–Sidorov–Aristov makes it possible to take into account not only the inhomogeneity of the pressure field, the temperature field and the concentration field, but also the inhomogeneous velocity field. The present review shows that there is a class of exact solutions for describing the flows of incompressible fluids, taking into account the Soret and Dufour cross effects. Accurate solutions are important for modeling and simulating natural, technical and technological processes. They make it possible to find new physical mechanisms of momentum transfer for the design of new types of equipment. © 2023 by the authors.
|
|
| Дата |
2024-04-05T16:35:19Z
2024-04-05T16:35:19Z 2023 |
|
| Тип |
Review
Review (info:eu-repo/semantics/review) |info:eu-repo/semantics/publishedVersion |
|
| Идентификатор |
Ershkov, SV, Prosviryakov, EY, Burmasheva, NV & Christianto, V 2023, 'Solving the Hydrodynamical System of Equations of Inhomogeneous Fluid Flows with Thermal Diffusion: A Review', Symmetry, Том. 15, № 10, стр. 1825. https://doi.org/10.3390/sym15101825
Ershkov, S. V., Prosviryakov, E. Y., Burmasheva, N. V., & Christianto, V. (2023). Solving the Hydrodynamical System of Equations of Inhomogeneous Fluid Flows with Thermal Diffusion: A Review. Symmetry, 15(10), 1825. https://doi.org/10.3390/sym15101825 2073-8994 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85175464525&doi=10.3390%2fsym15101825&partnerID=40&md5=8ed8894fcbf1ee53479dd61e81f89791 https://www.mdpi.com/2073-8994/15/10/1825/pdf?version=1695700063 http://elar.urfu.ru/handle/10995/130910 10.3390/sym15101825 85175464525 001089975600001 |
|
| Язык |
en
|
|
| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ |
|
| Формат |
application/pdf
|
|
| Издатель |
Multidisciplinary Digital Publishing Institute (MDPI)
|
|
| Источник |
Symmetry
Symmetry |
|