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On the macroscopic description of slow viscous flow past a random array of spheres

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Abstract

We give rigorous derivation of Brinkman's equation as the effective equation for slow viscous flow in porous media with high porosity. The medium is composed of spherical obstacles distributed randomly, and the microscopic flow is described by the Stokes equation. Along the road we giveW 12 convergence estimates for the point-sources approximation.

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Authors and Affiliations

  1. Institute for Mathematics and its Applications, University of Minnesota, 55455, Minneapolis, Minnesota

    Jacob Rubinstein

  2. Department of Mathematics, Stanford University, 94305, Stanford, California

    Jacob Rubinstein

Authors
  1. Jacob Rubinstein
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Rubinstein, J. On the macroscopic description of slow viscous flow past a random array of spheres. J Stat Phys 44, 849–863 (1986). https://doi.org/10.1007/BF01011910

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  • DOI: https://doi.org/10.1007/BF01011910

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