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Journal of Porous Media
Impact-faktor: 1.49 5-jähriger Impact-Faktor: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v4.i4.50
14 pages

The Hydraulic Permeability of Periodic Arrays of Cylinders of Varying Size

T. D. Papathanasiou
Department of Chemical Engineering, Swearingen Engineering Center, University of South Carolina, Columbia, South Carolina 29208

ABSTRAKT

We carry out numerical simulations, using the method of boundary elements (BEM) as well as the fluid dynamics package FIDAPTM, for creeping flow across square and hexagonal arrays of fibers whose size is allowed to change in a regular manner, expressed by a size variation parameter (δ). Since such simulations are not restricted by the requirements of the lubrication approximation, they allow us to chart a wider range of δ and porosity (φ) than analytically feasible. Even though several models for the hydraulic permeability (K) of regular arrays of uniform fibers are available in the published literature, the effect of deviations from uniform fiber size on K has been analyzed only in the context of the lubrication theory (Lundstrom and Gebart, 1995). Numerical results for K are in agreement with theoretical predictions for small values of φ and of δ. At larger values of δ we predict a quantitatively and qualitatively different behavior of K, namely a local permeability maximum for square arrays at δ ≈ 0.45 followed by a plateau at δ > 0.7 and a local permeability minimum at δ ≈ 0.3 for hexagonal arrays, also followed by a plateau at δ > 0.7. Finally, the computed permeabilities are compared to the predictions of the Blake—Carman—Kozeny equation and, for certain ranges of δ, are found in reasonable agreement.


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