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Matematicheskoe modelirovanie, 2023, Volume 35, Number 8, Pages 3–13
DOI: https://doi.org/10.20948/mm-2023-08-01 (Mi mm4482) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On one class of exact solutions of the Navie–Stokes system of equations for an incompressible fluid

V. A. Galkinab, A. O. Dubovikab

a Surgur Branch of the Federal Science Center Scientific Research Institute for System Analysis of the Russian Academy of Science
b Surgut State University
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DOI: https://doi.org/10.20948/mm-2023-08-01
Abstract: A class of exact solutions of the system of Navier–Stokes equations corresponding to the vortex flow of an incompressible fluid in a cylinder and a coaxial cylinder is obtained. The behavior of the solution in the vicinity of singular points lying on the axis of the cylinder is studied. The temperature field is calculated based on the control volume method corresponding to the found class of exact solutions.
Keywords: exact solutions, Navier–Stokes equations, cylindrical flow region.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0580-2021-0007
Received: 06.02.2023
Revised: 06.02.2023
Accepted: 26.06.2023
English version:
Mathematical Models and Computer Simulations, 2023, Volume 15, Issue 1 suppl., Pages S78–S85
DOI: https://doi.org/10.1134/S2070048223070037
Document Type: Article
Language: Russian
Citation: V. A. Galkin, A. O. Dubovik, “On one class of exact solutions of the Navie–Stokes system of equations for an incompressible fluid”, Matem. Mod., 35:8 (2023), 3–13; Math. Models Comput. Simul., 15:1 suppl. (2023), S78–S85
Citation in format AMSBIB
\Bibitem{GalDub23}
\by V.~A.~Galkin, A.~O.~Dubovik
\paper On one class of exact solutions of the Navie–Stokes system of equations for an incompressible fluid
\jour Matem. Mod.
\yr 2023
\vol 35
\issue 8
\pages 3--13
\mathnet{http://mi.mathnet.ru/mm4482}
\crossref{https://doi.org/10.20948/mm-2023-08-01}
\transl
\jour Math. Models Comput. Simul.
\yr 2023
\vol 15
\issue 1 suppl.
\pages S78--S85
\crossref{https://doi.org/10.1134/S2070048223070037}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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