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Permeability of packs of polydisperse hard spheres

Vasseur, Jérémie; Wadsworth, Fabian B.; Coumans, Jason P.; Dingwell, Donald B.

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Authors

Jérémie Vasseur

Jason P. Coumans

Donald B. Dingwell



Abstract

The permeability of packs of spheres is important in a wide range of physical scenarios. Here, we create numerically generated random periodic domains of spheres that are polydisperse in size and use lattice-Boltzmann simulations of fluid flow to determine the permeability of the pore phase interstitial to the spheres. We control the polydispersivity of the sphere size distribution and the porosity across the full range from high porosity to a close packing of spheres. We find that all results scale with a Stokes permeability adapted for polydisperse sphere sizes. We show that our determination of the permeability of random distributions of spheres is well approximated by models for cubic arrays of spheres at porosities greater than ∼0.38, without any fitting parameters. Below this value, the Kozeny-Carman relationship provides a good approximation for dense, closely packed sphere packs across all polydispersivity.

Citation

Vasseur, J., Wadsworth, F. B., Coumans, J. P., & Dingwell, D. B. (2021). Permeability of packs of polydisperse hard spheres. Physical Review E, 103(6), https://doi.org/10.1103/physreve.103.062613

Journal Article Type Article
Acceptance Date May 27, 2021
Online Publication Date Jun 25, 2021
Publication Date 2021
Deposit Date Nov 23, 2021
Publicly Available Date Nov 23, 2021
Journal Physical Review E
Print ISSN 2470-0045
Electronic ISSN 2470-0053
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 103
Issue 6
DOI https://doi.org/10.1103/physreve.103.062613

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Published by the American Physical Society under the terms of the
Creative Commons Attribution 4.0 International license. Further
distribution of this work must maintain attribution to the author(s)
and the published article’s title, journal citation, and DOI.





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