Permeability of packs of polydisperse hard spheres

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

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
• Public URL: https://durham-repository.worktribe.com/output/1221106