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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 4, Pages 162–173 (Mi pmtf1937)  
This article is cited in 2 scientific papers (total in 2 papers)

Flow of electrolytes in a porous medium

V. V. Shelukhina, Y. Amiratb

a Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Blaise Pascal University, Clermont-Ferrand, France, 631177
Full-text PDF (263 kB) Citations (2)
Abstract: A two-scale model of ion transfer in a porous medium is obtained for one-dimensional horizontal flows under the action of a pressure gradient and an external electric field by the method of homogenization. Steady equations of electroosmotic flows in flat horizontal nano-sized slits separated by thin dielectric partitions are averaged over a small-scale variable. The resultant macroequations include Poisson’s equation for the vertical component of the electric field and Onsager’s relations between flows and forces. The total horizontal flow rate of the fluid is found to depend linearly on the pressure gradient and external electric field, and the coefficients in this linear relation are calculated with the use of microequations.
Keywords: filtration of electrolytes, two-scale expansions, homogenization, nanoscale, nonlocal Poisson–Boltzmann equation.
Received: 16.07.2007
Accepted: 11.10.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2008, Volume 49, Issue 4, Pages 655–665
DOI: https://doi.org/10.1007/s10808-008-0083-6
Bibliographic databases:
Document Type: Article
UDC: 532.546; 533.15
Language: Russian
Citation: V. V. Shelukhin, Y. Amirat, “Flow of electrolytes in a porous medium”, Prikl. Mekh. Tekh. Fiz., 49:4 (2008), 162–173; J. Appl. Mech. Tech. Phys., 49:4 (2008), 655–665
Citation in format AMSBIB
\Bibitem{SheAmi08}
\by V.~V.~Shelukhin, Y.~Amirat
\paper Flow of electrolytes in a porous medium
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 4
\pages 162--173
\mathnet{http://mi.mathnet.ru/pmtf1937}
\elib{https://elibrary.ru/item.asp?id=11784360}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 4
\pages 655--665
\crossref{https://doi.org/10.1007/s10808-008-0083-6}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1937
  • https://www.mathnet.ru/eng/pmtf/v49/i4/p162
    This publication is cited in the following 2 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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