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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2018, Volume 59, Issue 2, Pages 63–73
DOI: https://doi.org/10.15372/PMTF20180107 (Mi pmtf596) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Vortex scattering of monatomic gas along plane curves

R. F. Shayakhmetova

Institute of Mechanics of Ufa Federal Research Center, Russian Academy of Sciences, Ufa, 450054, Russia
Full-text PDF (471 kB) Citations (2)
DOI: https://doi.org/10.15372/PMTF20180107
Abstract: An invariant submodel of gas dynamics equations constructed on a three-dimensional subalgebra with a projective operator for the case of monatomic gas is under consideration. The submodel is reduced to an Abel equation, with integral curves constructed for it. For a separatrix of a saddle, an approximate solution is studied. Such solutions describe the vortex scattering of gas along plane curves placed on the surface of revolution.
Keywords: gas dynamics, invariant solution, projective operator, Abel equation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0246-2018-0005
Received: 15.12.2015
Revised: 25.04.2017
English version:
Journal of Applied Mechanics and Technical Physics, 2018, Volume 59, Issue 2, Pages 241–250
DOI: https://doi.org/10.1134/S0021894418020074
Bibliographic databases:
Document Type: Article
UDC: 533+517.958
Language: Russian
Citation: R. F. Shayakhmetova, “Vortex scattering of monatomic gas along plane curves”, Prikl. Mekh. Tekh. Fiz., 59:2 (2018), 63–73; J. Appl. Mech. Tech. Phys., 59:2 (2018), 241–250
Citation in format AMSBIB
\Bibitem{Sha18}
\by R.~F.~Shayakhmetova
\paper Vortex scattering of monatomic gas along plane curves
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2018
\vol 59
\issue 2
\pages 63--73
\mathnet{http://mi.mathnet.ru/pmtf596}
\crossref{https://doi.org/10.15372/PMTF20180107}
\elib{https://elibrary.ru/item.asp?id=32773494}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2018
\vol 59
\issue 2
\pages 241--250
\crossref{https://doi.org/10.1134/S0021894418020074}
Linking options:
  • https://www.mathnet.ru/eng/pmtf596
  • https://www.mathnet.ru/eng/pmtf/v59/i2/p63
    • This publication is cited in the following 2 articles:
    1. Dilara Siraeva, “The invariant solution with blow-up for the gas dynamics equations from one-parameter three-dimensional subalgebra consisting of space, Galilean and pressure translations”, MATH, 9:1 (2024), 89  crossref
    2. Renata Nikonorova, Dilara Siraeva, Yulia Yulmukhametova, “New Exact Solutions with a Linear Velocity Field for the Gas Dynamics Equations for Two Types of State Equations”, Mathematics, 10:1 (2022), 123  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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