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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 5, Pages 41–52
DOI: https://doi.org/10.15372/PMTF20190505 (Mi pmtf390) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Stokes flow through a membrane built up by nonhomogeneous porous cylindrical particles

P. K. Yadava, P. Singhb, A. Tiwaric, S. Deod

a Motilal Nehru National Institute of Technology Allahabad, Prayagraj, 211004, India
b National Institute of Technology Patna, Patna, 800005, India
c Birla Institute of Technology and Science, India
d University of Allahabad, Prayagraj, 211002, India
Full-text PDF (434 kB) Citations (2)
DOI: https://doi.org/10.15372/PMTF20190505
Abstract: This work deals with the creeping flow of an incompressible viscous fluid through a membrane. It is assumed that the membrane is composed of nonhomogeneous porous cylindrical particles with radially varying permeability enclosing a cavity. The flow within the nonhomogeneous porous medium is governed by the Darcy equation. The flow inside the cavity and outside the nonhomogeneous porous region is governed by the Stokes equations. An analytical solution of the problem is obtained by using the cell model technique. Exact expressions for the drag force acting on the membrane and hydrodynamic permeability of the membrane are derived. The influence of radially varying permeability on flow parameters is considered. The effects of various parameters of the problem on hydrodynamic permeability of the membrane are discussed for four models. Some previous results for hydrodynamic permeability are verified as special limiting cases.
Keywords: cell model, stream function, Darcy equation, hydrodynamic permeability.
Funding agency Grant number
Science and Engineering Research Board SR/FTP/MS-47/2012
Received: 22.11.2018
Revised: 06.04.2019
Accepted: 29.04.2019
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 5, Pages 816–826
DOI: https://doi.org/10.1134/S0021894419050055
Bibliographic databases:
Document Type: Article
UDC: 532.546
Language: Russian
Citation: P. K. Yadav, P. Singh, A. Tiwari, S. Deo, “Stokes flow through a membrane built up by nonhomogeneous porous cylindrical particles”, Prikl. Mekh. Tekh. Fiz., 60:5 (2019), 41–52; J. Appl. Mech. Tech. Phys., 60:5 (2019), 816–826
Citation in format AMSBIB
\Bibitem{YadSinTiw19}
\by P.~K.~Yadav, P.~Singh, A.~Tiwari, S.~Deo
\paper Stokes flow through a membrane built up by nonhomogeneous porous cylindrical particles
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 5
\pages 41--52
\mathnet{http://mi.mathnet.ru/pmtf390}
\crossref{https://doi.org/10.15372/PMTF20190505}
\elib{https://elibrary.ru/item.asp?id=41017698}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 5
\pages 816--826
\crossref{https://doi.org/10.1134/S0021894419050055}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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