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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 1, Pages 95–108 (Mi pmtf2115)  
This article is cited in 2 scientific papers (total in 2 papers)

Invariant solutions of the thermal-diffusion equations for a binary mixture in the case of plane motion

I. I. Ryzhkov

Institute of Computational Modeling, Siberian Division, Russian Academy of Sciences, Krasnoyarsk, 660036, Russia
Full-text PDF (300 kB) Citations (2)
Abstract: The group properties of the thermal-diffusion equations for a binary mixture in plane flow are studied. Optimal systems of first-and second-order subalgebras are constructed for the admissible Lie operator algebra, which is infinite-dimensional. Examples of the exact invariant solutions are given, which are found by solving ordinary differential equations. Exact solutions are found that describe thermal diffusion in an inclined layer with a free boundary and in a vertical layer in the presence of longitudinal temperature and concentration gradients. The effect of the thermal-diffusion parameter on the flow regime is studied.
Keywords: thermal diffusion, binary mixture, group analysis, invariant solutions.
Received: 08.12.2004
Accepted: 24.02.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 1, Pages 79–90
DOI: https://doi.org/10.1007/s10808-006-0011-6
Bibliographic databases:
Document Type: Article
UDC: 519.46:533.375
Language: Russian
Citation: I. I. Ryzhkov, “Invariant solutions of the thermal-diffusion equations for a binary mixture in the case of plane motion”, Prikl. Mekh. Tekh. Fiz., 47:1 (2006), 95–108; J. Appl. Mech. Tech. Phys., 47:1 (2006), 79–90
Citation in format AMSBIB
\Bibitem{Ryz06}
\by I.~I.~Ryzhkov
\paper Invariant solutions of the thermal-diffusion equations for a binary mixture in the case of plane motion
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 1
\pages 95--108
\mathnet{http://mi.mathnet.ru/pmtf2115}
\elib{https://elibrary.ru/item.asp?id=16546838}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 1
\pages 79--90
\crossref{https://doi.org/10.1007/s10808-006-0011-6}
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  • https://www.mathnet.ru/eng/pmtf/v47/i1/p95
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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