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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 4, Pages 48–53 (Mi pmtf1765)  

This article is cited in 13 scientific papers (total in 13 papers)

Viscous fluid flow around a semipermeable particle

V. M. Shapovalov

Volgograd State Technical University, Volgograd, 400103, Russia
Abstract: The problem of hydrodynamic interaction between a laminar flow of a viscous fluid and a partially permeable spherical particle is formulated and solved analytically. The filtration flow inside the particle is assumed to obey the Darcy law. Expressions for the filtration flow velocity, drag, sedimentation velocity, and stream functions are obtained. The effect of the permeability of the particle on the flow characteristics is studied. Stream functions of the flow are constructed.
Keywords: Stokes flow, filtration, viscosity, velocity, pressure.
Received: 05.12.2007
Accepted: 16.06.2008
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 4, Pages 584–588
DOI: https://doi.org/10.1007/s10808-009-0079-x
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: V. M. Shapovalov, “Viscous fluid flow around a semipermeable particle”, Prikl. Mekh. Tekh. Fiz., 50:4 (2009), 48–53; J. Appl. Mech. Tech. Phys., 50:4 (2009), 584–588
Citation in format AMSBIB
\Bibitem{Sha09}
\by V.~M.~Shapovalov
\paper Viscous fluid flow around a semipermeable particle
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 4
\pages 48--53
\mathnet{http://mi.mathnet.ru/pmtf1765}
\elib{https://elibrary.ru/item.asp?id=12846448}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 4
\pages 584--588
\crossref{https://doi.org/10.1007/s10808-009-0079-x}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1765
  • https://www.mathnet.ru/eng/pmtf/v50/i4/p48
  • This publication is cited in the following 13 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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