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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 2, Pages 88–96 (Mi pmtf1201)  
This article is cited in 9 scientific papers (total in 9 papers)

Mathematical model of permeability of microspheres with allowance for their size distribution

A. S. Vereshchaginab, I. V. Kazanina, V. N. Zinovieva, A. Yu. Paka, A. F. Fominaa, V. A. Lebigaa, V. M. Fominab

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
Full-text PDF (251 kB) Citations (9)
Abstract: A mathematical model of helium absorption by a sorbent consisting of hollow spherical particles with allowance for the distributions of permeability coefficients and particle sizes is constructed. A possibility of reconstructing the permeability coefficients of the microsphere materials from the known sorption curves and particle size distribution is demonstrated. The model is analyzed and tested by examples of two different sorbents.
Keywords: permeability, helium, microsphere, mathematical model, distribution.
Received: 18.06.2012
Revised: 04.10.2012
English version:
Journal of Applied Mechanics and Technical Physics, 2013, Volume 54, Issue 2, Pages 243–250
DOI: https://doi.org/10.1134/S0021894413020090
Bibliographic databases:
Document Type: Article
UDC: 539.217.5
Language: Russian
Citation: A. S. Vereshchagin, I. V. Kazanin, V. N. Zinoviev, A. Yu. Pak, A. F. Fomina, V. A. Lebiga, V. M. Fomin, “Mathematical model of permeability of microspheres with allowance for their size distribution”, Prikl. Mekh. Tekh. Fiz., 54:2 (2013), 88–96; J. Appl. Mech. Tech. Phys., 54:2 (2013), 243–250
Citation in format AMSBIB
\Bibitem{VerKazZin13}
\by A.~S.~Vereshchagin, I.~V.~Kazanin, V.~N.~Zinoviev, A.~Yu.~Pak, A.~F.~Fomina, V.~A.~Lebiga, V.~M.~Fomin
\paper Mathematical model of permeability of microspheres with allowance for their size distribution
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 2
\pages 88--96
\mathnet{http://mi.mathnet.ru/pmtf1201}
\elib{https://elibrary.ru/item.asp?id=20653875}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 2
\pages 243--250
\crossref{https://doi.org/10.1134/S0021894413020090}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1201
  • https://www.mathnet.ru/eng/pmtf/v54/i2/p88
    • This publication is cited in the following 9 articles:
    1. M. V. Frolov, A. S. Vereshchagin, I. V. Kazanin, “Study of helium permeability for silica microspheres”, Thermophys. Aeromech., 31:2 (2024), 321  crossref
    2. A. S. Vereshchagin, I. V. Kazanin, V. N. Zinoviev, V. M. Fomin, “Numerical simulation of enrichment of the air–helium mixture with a bifunctional sorbent based on glass microspheres”, J. Appl. Mech. Tech. Phys., 63:5 (2022), 731–745  mathnet  crossref  crossref  elib
    3. A. S. Vereshchagin, V. M. Fomin, V. N. Zinoviev, I. V. Kazanin, A. Yu. Pak, V. A. Lebig, “Investigation of helium absorption by microspheres and composite sorbent on their basis”, J. Appl. Mech. Tech. Phys., 62:3 (2021), 401–410  mathnet  crossref  crossref  elib
    4. A. S. Vereshchagin, V. M. Fomin, V. N. Zinovyev, I. V. Kazanin, A. Yu. Pak, V. A. Lebiga, AIP Conference Proceedings, 2027, 2018, 030130  crossref
    5. I. V. Kazanin, V. N. Zinoviev, V. A. Lebiga, A. Y. Pak, V. M. Fomin, A. S. Vereshchagin, N. G. Tsibulsky, AIP Conference Proceedings, 1893, 2017, 030013  crossref
    6. V. N. Zinovyev, I. V. Kazanin, V. A. Lebiga, A. Y. Pak, A. S. Vereshchagin, V. M. Fomin, AIP Conference Proceedings, 1893, 2017, 020016  crossref
    7. 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
    8. 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
    9. S. V. Klishin, A. F. Revuzhenko, “A class of vortex flows in granular medium”, J Min Sci, 51:6 (2015), 1070  crossref
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