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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}
Linking options:
  • https://www.mathnet.ru/eng/pmtf894
  • https://www.mathnet.ru/eng/pmtf/v56/i5/p5
    • This publication is cited in the following 5 articles:
    1. A. S. Vereshchagin, “Accounting for resistance and temperature in a steam-helium mixture flowing through a layer of microsphere-based porous composite sorbent”, J. Appl. Mech. Tech. Phys., 62:2 (2021), 245–254  mathnet  mathnet  crossref  crossref
    2. A. S. Vereshchagin, V. N. Zinovyev, I. V. Kazanin, A. Yu. Pak, V. A. Lebiga, V. M. Fomin, “Model of Helium and Water Vapor Adsorption by a Microsphere-Based Porous Composite Sorbent”, Dokl. Phys., 65:2 (2020), 46  crossref
    3. A S Vereshchagin, V N Zinovyev, I V Kazanin, A Yu Pak, V A Lebiga, V M Fomin, “Mathematical model of gas mixture adsorption by a composite adsorbent”, J. Phys.: Conf. Ser., 1404:1 (2019), 012048  crossref
    4. A. S. Vereshchagin, V. M. Fomin, V. N. Zinovyev, I. V. Kazanin, A. Yu. Pak, V. A. Lebiga, AIP Conference Proceedings, 1893, 2017, 030012  crossref
    5. A. S. Vereshchagin, V. M. Fomin, V. N. Zinovyev, I. V. Kazanin, A. Yu. Pak, V. A. Lebiga, AIP Conference Proceedings, 1893, 2017, 030009  crossref
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