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Sibirskii Zhurnal Industrial'noi Matematiki, 2020, Volume 23, Number 3, Pages 139–151
DOI: https://doi.org/10.33048/SIBJIM.2020.23.311 (Mi sjim1104) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Some model of a suspension filtration in a porous media that accounts for the two-zone and multistage character of deposition kinetics

B. Kh. Khuzhayorov, J. M. Makhmudov, B. M. Fayziev, T. I. Begmatov

Samarkand State University, University blv. 15, Samarkand 140100, Uzbekistan
Full-text PDF (683 kB) Citations (13)
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DOI: https://doi.org/10.33048/SIBJIM.2020.23.311
Abstract: The problem of suspension filtration in a porous medium consisting of active and passive zones is posed and numerically solved in the case of a multistage kinetics of particle deposition. Some mathematical model of the process is proposed that is based on the general conservation laws and additional phenomenological assumptions. The influence of the multistage kinetics of particle deposition on the filtration characteristics is considered. We establish that, as the parameter characterizing the duration of the stage of formation of the irreversible deposition increases, a region with complete saturation of the passive zone capacity appears near the filter inlet. No further increase of the deposition concentration in the passive zone is observed, while the process of particles movement in suspension and deposition of them in the active zone continues.
Keywords: mathematical model, multistage kinetics, porous medium, suspension, filtration.
Received: 10.05.2020
Revised: 10.05.2020
Accepted: 16.07.2020
English version:
Journal of Applied and Industrial Mathematics, 2020, Volume 14, Issue 3, Pages 513–523
DOI: https://doi.org/10.1134/S1990478920030102
Bibliographic databases:
Document Type: Article
UDC: 532.546
Language: Russian
Citation: B. Kh. Khuzhayorov, J. M. Makhmudov, B. M. Fayziev, T. I. Begmatov, “Some model of a suspension filtration in a porous media that accounts for the two-zone and multistage character of deposition kinetics”, Sib. Zh. Ind. Mat., 23:3 (2020), 139–151; J. Appl. Industr. Math., 14:3 (2020), 513–523
Citation in format AMSBIB
\Bibitem{KhuMakFay20}
\by B.~Kh.~Khuzhayorov, J.~M.~Makhmudov, B.~M.~Fayziev, T.~I.~Begmatov
\paper Some model of a suspension filtration in a porous media that accounts for the two-zone and multistage character of deposition kinetics
\jour Sib. Zh. Ind. Mat.
\yr 2020
\vol 23
\issue 3
\pages 139--151
\mathnet{http://mi.mathnet.ru/sjim1104}
\crossref{https://doi.org/10.33048/SIBJIM.2020.23.311}
\elib{https://elibrary.ru/item.asp?id=45183580}
\transl
\jour J. Appl. Industr. Math.
\yr 2020
\vol 14
\issue 3
\pages 513--523
\crossref{https://doi.org/10.1134/S1990478920030102}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85094637136}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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