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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
Full-text PDF (170 kB) Citations (13)
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:
    1. Selvi Ramasamy, Satyendra Singh Chauhan, “Creeping flow of a couple stress fluid past a semipermeable spherical particle consisting of a solid core: magnetic field effect”, J Braz. Soc. Mech. Sci. Eng., 46:8 (2024)  crossref
    2. S. O. Gladkov, “On the Drag Force of a Hot Ball”, Tech. Phys., 2024  crossref
    3. S. O. Gladkov, N. S. Nagibin, “On the Analytical Determination of the Best Form of Flows Past Bodies in a Viscous Continuum”, Tech. Phys., 2024  crossref
    4. R. Selvi, “Drag on a semipermeable spherical particle covered by a couple stress fluid”, Math Methods in App Sciences, 2023  crossref
    5. Ravendra Prasad Namdeo, Bali Ram Gupta, “Magnetic effect on the creeping flow around a slightly deformed semipermeable sphere”, Arch Appl Mech, 92:1 (2022), 241  crossref
    6. R. P. Namdeo, B. R. Gupta, “Creeping flow around a spherical particle covered by semipermeable shell in presence of magnetic field”, IOP Conf. Ser.: Mater. Sci. Eng., 1136:1 (2021), 012032  crossref
    7. M Krishna Prasad, Tina Bucha, “Magnetohydrodynamic creeping flow around a weakly permeable spherical particle in cell models”, Pramana - J Phys, 94:1 (2020)  crossref
    8. Krishna Prasad Madasu, Tina Bucha, “MHD Viscous Flow Past a Weakly Permeable Cylinder Using Happel and Kuwabara Cell Models”, Iran J Sci Technol Trans Sci, 44:4 (2020), 1063  crossref
    9. Madasu Krishna Prasad, “Cell Models for Non-Newtonian Fluid Past a Semipermeable Sphere”, Int J Math, Eng, Manag Sci, 4:6 (2019), 1352  crossref
    10. Madasu Krishna Prasad, Tina Bucha, “Effect of Magnetic Field on the Steady Viscous Fluid Flow Around a Semipermeable Spherical Particle”, Int. J. Appl. Comput. Math, 5:3 (2019)  crossref
    11. Krishna Prasad Madasu, Tina Bucha, “Steady Viscous Flow Around a Permeable Spheroidal Particle”, Int. J. Appl. Comput. Math, 5:4 (2019)  crossref
    12. N. Srivastava, “Flow of a viscous fluid past a heterogeneous porous sphere at low Reynolds numbers”, J. Appl. Mech. Tech. Phys., 57:6 (2016), 1022–1030  mathnet  mathnet  crossref  crossref
    13. A. S. Vereshchagin, S. V. Dolgushev, “Low-velocity viscous incompressible fluid flow around a hollow porous sphere”, J. Appl. Mech. Tech. Phys., 52:3 (2011), 406–414  mathnet  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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