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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2015, Volume 56, Issue 5, Pages 5–17
DOI: https://doi.org/10.15372/PMTF20150501 (Mi pmtf894) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Mathematical model of motion of a mixture of gases and hollow microspheres with selective permeability

A. S. Vereshchaginabc, V. M. Fominabc

a Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
c Novosibirsk State Technical University, Novosibirsk, 630073, Russia
Full-text PDF (243 kB) Citations (5)
DOI: https://doi.org/10.15372/PMTF20150501
Abstract: A mathematical model of motion of solid particles with selective permeability and a mixture of moving gases is developed with the use of averaging principles of mechanics of multiphase media. The derived system of quasi-linear partial differential equations is studied for a particular one-dimensional isothermal case.
Keywords: permeability, helium, microsphere, mathematical model, mechanics of multiphase media.
Received: 02.03.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2015, Volume 56, Issue 5, Pages 737–749
DOI: https://doi.org/10.1134/S0021894415050016
Bibliographic databases:
Document Type: Article
UDC: 539.217.5
Language: Russian
Citation: A. S. Vereshchagin, V. M. Fomin, “Mathematical model of motion of a mixture of gases and hollow microspheres with selective permeability”, Prikl. Mekh. Tekh. Fiz., 56:5 (2015), 5–17; J. Appl. Mech. Tech. Phys., 56:5 (2015), 737–749
Citation in format AMSBIB
\Bibitem{VerFom15}
\by A.~S.~Vereshchagin, V.~M.~Fomin
\paper Mathematical model of motion of a mixture of gases and hollow microspheres with selective permeability
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 5
\pages 5--17
\mathnet{http://mi.mathnet.ru/pmtf894}
\crossref{https://doi.org/10.15372/PMTF20150501}
\elib{https://elibrary.ru/item.asp?id=25454192}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 5
\pages 737--749
\crossref{https://doi.org/10.1134/S0021894415050016}
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  • https://www.mathnet.ru/eng/pmtf/v56/i5/p5
    • This publication is cited in the following 5 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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