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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 4, Pages 72–83 (Mi pmtf1504)  

This article is cited in 1 scientific paper (total in 1 paper)

Group properties and exact solutions of equations for vibrational convection of a binary mixture

I. I. Ryzhkov, I. V. Stepanova

Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036, Russia
Full-text PDF (275 kB) Citations (1)
Abstract: A model of vibrational convection of a binary mixture with the thermodiffusion effect is considered. The symmetries of model equations are found, depending on the values of physical parameters. A partially invariant solution, which describes separation of the binary mixture in a thermodiffusion column, is constructed and studied. The influence of streamwise vibrations on the flow regime and separation of the mixture is investigated.
Keywords: vibrational convection, binary mixture, thermodiffusion, group classification, partially invariant solutions.
Received: 20.07.2010
English version:
Journal of Applied Mechanics and Technical Physics, 2011, Volume 52, Issue 4, Pages 560–570
DOI: https://doi.org/10.1134/S0021894411040080
Bibliographic databases:
Document Type: Article
UDC: 512.816:532.529.2
Language: Russian
Citation: I. I. Ryzhkov, I. V. Stepanova, “Group properties and exact solutions of equations for vibrational convection of a binary mixture”, Prikl. Mekh. Tekh. Fiz., 52:4 (2011), 72–83; J. Appl. Mech. Tech. Phys., 52:4 (2011), 560–570
Citation in format AMSBIB
\Bibitem{RyzSte11}
\by I.~I.~Ryzhkov, I.~V.~Stepanova
\paper Group properties and exact solutions of equations for vibrational convection of a binary mixture
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 4
\pages 72--83
\mathnet{http://mi.mathnet.ru/pmtf1504}
\elib{https://elibrary.ru/item.asp?id=16973562}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 4
\pages 560--570
\crossref{https://doi.org/10.1134/S0021894411040080}
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  • https://www.mathnet.ru/eng/pmtf/v52/i4/p72
  • This publication is cited in the following 1 articles:
    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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