Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 3, Pages 49–54 (Mi vmumm239)  
This article is cited in 2 scientific papers (total in 2 papers)

Mechanics

Exact solutions to nonlinear equations of suspension flow through a porous medium

N. E. Leont'ev, D. A. Tatarenkova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (447 kB) Citations (2)
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Abstract: The general solution to a nonlinear system of differential equations describing one-dimensional flows of a low-concentrated suspension through a porous medium with consideration of particle deposition is constructed. A number of closed-form solutions are specified in terms of elementary functions. The formation of non-physical singularities is studied.
Key words: flow through a porous medium, suspension, deep bed filtration, particle deposition, gradient catastrophe.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00056
Received: 14.02.2014
English version:
Moscow University Mechanics Bulletin, 2015, Volume 70, Issue 3, Pages 61–65
DOI: https://doi.org/10.3103/S0027133015030024
Bibliographic databases:
Document Type: Article
UDC: 532.685
Language: Russian
Citation: N. E. Leont'ev, D. A. Tatarenkova, “Exact solutions to nonlinear equations of suspension flow through a porous medium”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 3, 49–54; Moscow University Mechanics Bulletin, 70:3 (2015), 61–65
Citation in format AMSBIB
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