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Effective Permeability of a Staggered Array of Solid Slats Embedded in a Porous Medium

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Abstract

The effective permeability of a composite composed of staggered slats embedded in a porous medium is determined. By concentrating on the intermediate (slat) scale, fluid permeation is analyzed by the exact fluid transport equations. Detailed pressure and velocity distributions are found by a semi-numerical eigenfunction expansion and point match method. It is found that both the geometry of the slats and the embedding porous medium contribute to the effective permeability, which is anisotropic in the three principal directions.

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Data are available upon reasonable request.

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Authors and Affiliations

  1. Departments of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, MI, 48824, USA

    C. Y. Wang

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  1. C. Y. Wang
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Correspondence to C. Y. Wang.

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Wang, C.Y. Effective Permeability of a Staggered Array of Solid Slats Embedded in a Porous Medium. Transp Porous Med 139, 615–625 (2021). https://doi.org/10.1007/s11242-021-01684-1

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  • DOI: https://doi.org/10.1007/s11242-021-01684-1

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