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Fractal porous media III: Transversal Stokes flow through random and Sierpinski carpets

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Abstract

The transversal Stokes flow of a Newtonian fluid through random and Sierpinski carpets is numerically calculated and the transversal permeability derived. In random carpets derived from site percolation, the average macroscopic permeability varies as (ε- ɛ c)3/2, close to the critical porosityɛ c. This exponent is found to be slightly different from the conductivity exponent. Results for Sierpinski carpets are presented up to the fourth generation. The Carman equation is not verified in these two model porous media.

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References

  1. Adler, P. M., 1986,Phys. Fluids 29, 15.

    Google Scholar 

  2. Scheidegger, A. E., 1957,The Physics of Flow through Porous Media, University of Toronto, Toronto.

    Google Scholar 

  3. Happel, J. and Brenner, H., 1965,Low Reynolds Number Hydrodynamics, Prentice-Hall, Englewood Cliffs, NJ.

    Google Scholar 

  4. Jacquin, Ch. G. and Adler, P. M., 1987,Transport in Porous Media 2, 571–596.

    Google Scholar 

  5. Mandelbrot, B. B., 1982,The Fractal Geometry of Nature, Freeman, San Francisco.

    Google Scholar 

  6. Adler, P. M., 1986,C.R. Acad. Sc. Paris,302, Série II, 691.

    Google Scholar 

  7. Adler, P. M. and Jacquin, Ch. G., 1987,Transport in Porous Media 2, 553–569.

    Google Scholar 

  8. Stauffer, D., 1985,Introduction to Percolation Theory, Taylor and Francis, London and Philadelphia.

    Google Scholar 

  9. Peyret, R. and Taylor, T. D., 1985,Computational Methods for Fluid Flow, Springer Series in Computational Physics, Springer-Verlag, Berlin.

    Google Scholar 

  10. Adler, P. M., 1987,Faraday Discuss. Chem. Soc. 83.

  11. Sangani, A. S. and Acrivos, A., 1982,Int. J. Multiphase Flow 8, 193.

    Google Scholar 

  12. Fisher, M. E., 1971, in M. S. Green (ed.),Critical Phenomena:Proc. Enrico Fermi Internat. Phys. Summer School, Academic Press, New York.

    Google Scholar 

  13. Mitescu, C. D. and Musolf, M. J., 1983,J. Phys. Lett. 44, L679.

    Google Scholar 

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  1. Laboratoire d' Aérothermique du CNRS, 92190, Meudon, France

    P. M. Adler

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  1. P. M. Adler
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Adler, P.M. Fractal porous media III: Transversal Stokes flow through random and Sierpinski carpets. Transp Porous Med 3, 185–198 (1988). https://doi.org/10.1007/BF00820345

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  • DOI: https://doi.org/10.1007/BF00820345

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