Skip to main content
SpringerLink
Log in

Cell models of porous media composed of impenetrable spherical particles coated with nonuniform porous layers

  • Published:
Colloid Journal Aims and scope Submit manuscript

Abstract

The Happel—Brenner cell model is employed to calculate the hydrodynamic permeability of membranes composed of impenetrable spherical particles coated with nonuniform porous layers. All of the boundary conditions corresponding to the Happel, Kuwabara, Kvashnin, and Cunningham models are considered at the cell surface. Liquid flows in the porous layers are described by the Brinkman equation. The force applied to a composite particle flowed around by a uniform stream is calculated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Churaev, N., Sergeeva, I., and Derjaguin, B., J. Colloid Interface Sci., 1981, vol. 84, p. 451.

    Article  CAS  Google Scholar 

  2. Varoqui, R. and Dejardin, P., J. Chem. Phys., 1977, vol. 66, p. 4395.

    Article  CAS  Google Scholar 

  3. Hiller, J. and Hoffman, H., J. Comput. Physiol., 1953, vol. 42, p. 203.

    Google Scholar 

  4. Parsons, D. and Subjeck, J., Biochem. Biophys. Acta, 1972, vol. 55, p. 440.

    Google Scholar 

  5. Masliyah, J., Neale, G., Malysa, K., and Van de Ven, T., Chem. Eng. Sci., 1987, vol. 42, p. 24.

    Google Scholar 

  6. Garvey, M., Tadros, Th., and Vincent, B., J. Colloid Interface Sci., 1975, vol. 55, p. 440.

    Article  Google Scholar 

  7. Pefferkorn, E., Dejardin, P., and Varoqui, R., J. Colloid Interface Sci., 1975, vol. 63, p. 353.

    Article  Google Scholar 

  8. Happel, J. and Brenner, H., Low Reynolds Number Hydrodynamics with Special Applications to Particulate Media, Englewood Cliffs: Prentice-Hall, 1965.

    Google Scholar 

  9. Saffman, P.G., Stud. Appl. Math., 1971, vol. 50, p. 93.

    Google Scholar 

  10. Koplic, J., Levine, H., and Zee, A., Phys. Fluids, 1983, vol. 26, p. 2864.

    Article  Google Scholar 

  11. Starov, V., Zhdanov, V., Meireles, M., and Molle, C., Adv. Colloid Interface Sci., 2002, vol. 96, p. 279.

    Article  CAS  Google Scholar 

  12. Lundgren, T., J. Fluid Mech., 1972, vol. 51, p. 273.

    Article  Google Scholar 

  13. Ochoa-Tapia, J.A. and Whitaker, S., Int. J. Heat Mass Transfer, 1995, vol. 38, p. 2635.

    Article  CAS  Google Scholar 

  14. Ochoa-Tapia, J.A. and Whitaker, S., Int. J. Heat Mass Transfer, 1995, vol. 38, p. 2647.

    Article  CAS  Google Scholar 

  15. Kuwabara, S., J. Rhys. Soc. Jpn., 1959, vol. 14, p. 527.

    Article  Google Scholar 

  16. Kvashnin, A.G., Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, 1979, no. 4, p. 154.

    Google Scholar 

  17. Mehta, G. and Morse, T., J. Chem. Phys., 1975, vol. 63, p. 1877.

    Article  Google Scholar 

  18. Lamb, H., Hydrodynamics, New York: Dover, 1945.

    Google Scholar 

  19. De Groot, S. and Mazur, P., Non-Equilibrium Thermodynamics, Amsterdam: North-Holland, 1962.

    Google Scholar 

  20. Vasin, S.I. and Filippov, A.N., Kolloidn. Zh., 2009, vol. 71, p. 32.

    Google Scholar 

  21. Chernyakov, A.L., Zh. Eksp. Teor. Fiz., 2001, vol. 120, p. 883.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow State University of Food Production, Volokolamskoe sh. 11, Moscow, 125080, Russia

    S. I. Vasin

Authors
  1. S. I. Vasin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © S.I. Vasin, 2010, published in Kolloidnyi Zhurnal, 2010, Vol. 72, No. 3, pp. 297–304

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vasin, S.I. Cell models of porous media composed of impenetrable spherical particles coated with nonuniform porous layers. Colloid J 72, 307–314 (2010). https://doi.org/10.1134/S1061933X10030038

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1061933X10030038

Keywords

Search

Navigation