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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 1, Pages 42–51 (Mi pmtf1693)  

This article is cited in 6 scientific papers (total in 6 papers)

Physicomathematical modeling of the processes of capillary impregnation of porous materials

A. A. Zhilin, A. V. Fedorov

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (288 kB) Citations (6)
Abstract: The process of capillary impregnation of porous materials is studied numerically. A physicomathematical model of liquid diffusion in a porous sample is proposed. The model involves an analytical presentation of the diffusion coefficient, which describes available experimental data. A method of solving one-dimensional unsteady problems of impregnation is developed and tested on a self-similar solution of the corresponding boundary-value problem of impregnation. If the impregnation process is sufficiently long, the motion of the liquid in the sample is described by a stable self-similar solution. A classification of moisture diffusion on the basis of the initial humidity on the sample boundary is proposed.
Keywords: capillary impregnation, porous materials, diffusion.
Received: 19.07.2007
Accepted: 04.10.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 1, Pages 35–43
DOI: https://doi.org/10.1007/s10808-009-0005-2
Bibliographic databases:
Document Type: Article
UDC: 539.219
Language: Russian
Citation: A. A. Zhilin, A. V. Fedorov, “Physicomathematical modeling of the processes of capillary impregnation of porous materials”, Prikl. Mekh. Tekh. Fiz., 50:1 (2009), 42–51; J. Appl. Mech. Tech. Phys., 50:1 (2009), 35–43
Citation in format AMSBIB
\Bibitem{ZhiFed09}
\by A.~A.~Zhilin, A.~V.~Fedorov
\paper Physicomathematical modeling of the processes of capillary impregnation of porous materials
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 1
\pages 42--51
\mathnet{http://mi.mathnet.ru/pmtf1693}
\elib{https://elibrary.ru/item.asp?id=11804064}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 1
\pages 35--43
\crossref{https://doi.org/10.1007/s10808-009-0005-2}
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  • https://www.mathnet.ru/eng/pmtf1693
  • https://www.mathnet.ru/eng/pmtf/v50/i1/p42
  • This publication is cited in the following 6 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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