AI Article Synopsis
- The study examines the permeability of sphere packs, which is crucial in various physical scenarios.
- Through lattice-Boltzmann simulations, the researchers analyze fluid flow in randomly generated periodic domains of spheres that vary in size and density.
- They find that permeability results align well with theoretical models for cube arrays at higher porosities and fit the Kozeny-Carman relationship for denser configurations, without needing fitting parameters.
Article 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.
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| http://dx.doi.org/10.1103/PhysRevE.103.062613 | DOI Listing |
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