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Matematicheskoe modelirovanie, 2010, Volume 22, Number 6, Pages 69–83 (Mi mm2987)  

This article is cited in 1 scientific paper (total in 1 paper)

Determination of the saturated region shape for liquid impregnation into laminated porous material

M. M. Alimov

Сhebotarev Research Institute of Mathematics and Mechanics, Kazan State University
Full-text PDF (960 kB) Citations (1)
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Abstract: Numerical solution of the problem of liquid impregnation into laminated porous material is presented. For case steady-state process with high contrast of layer's thickness and permeability this problem is formulated as specific free boundary problem, which is characterized by small angle between free boundary and interlaminar boundary. Proposed iterative method of solution is efficient for angle greater by 0.003. The comparison of numerical results and known asymptotic analysis results is presented.
Keywords: layer, interface, saturated region shape.
Received: 31.08.2009
Bibliographic databases:
Document Type: Article
UDC: 519.63+532.546
Language: Russian
Citation: M. M. Alimov, “Determination of the saturated region shape for liquid impregnation into laminated porous material”, Matem. Mod., 22:6 (2010), 69–83
Citation in format AMSBIB
\Bibitem{Ali10}
\by M.~M.~Alimov
\paper Determination of the saturated region shape for liquid impregnation into laminated porous material
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 6
\pages 69--83
\mathnet{http://mi.mathnet.ru/mm2987}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2731526}
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  • https://www.mathnet.ru/eng/mm2987
  • https://www.mathnet.ru/eng/mm/v22/i6/p69
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Математическое моделирование
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    Abstract page:294
    Full-text PDF :113
    References:53
    First page:12
     
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