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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 6, Pages 65–70
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-6-10 (Mi vmumm4582) 		 
Mechanics

Travelling wave solutions to two-velocity deep bed filtration equations

N. E. Leont'ev, K. Taurbayeva

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-6-10
Abstract: Travelling wave solutions to the deep bed filtration system are constructed for a model with different velocities of a carrier fluid and suspended particles. The solution in quadratures is obtained when the velocity of the carrier fluid and that of the particles differ by a concentration-dependent factor. For some special cases, the physically realizable domains are found in the space of governing parameters. Solutions that may be interpreted as a clogging wave structure are presented.
Key words: flow through porous media, suspension, deep bed filtration, exact solution, clogging.
Received: 16.06.2023
English version:
Moscow University Måchanics Bulletin, 2023, Volume 78, Issue 6, Pages 159–164
DOI: https://doi.org/10.3103/S0027133023060018
Bibliographic databases:
Document Type: Article
UDC: 532.685
Language: Russian
Citation: N. E. Leont'ev, K. Taurbayeva, “Travelling wave solutions to two-velocity deep bed filtration equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 6, 65–70; Moscow University Måchanics Bulletin, 78:6 (2023), 159–164
Citation in format AMSBIB
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\by N.~E.~Leont'ev, K.~Taurbayeva
\paper Travelling wave solutions to two-velocity deep bed filtration equations
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 6
\pages 65--70
\mathnet{http://mi.mathnet.ru/vmumm4582}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-6-10}
\elib{https://elibrary.ru/item.asp?id=58422769}
\transl
\jour Moscow University Måchanics Bulletin
\yr 2023
\vol 78
\issue 6
\pages 159--164
\crossref{https://doi.org/10.3103/S0027133023060018}
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