Comment on “A periodic grain consolidation model of porous media” [Phys. Fluids A 1, 38 (1989)]

Siarhei Khirevich, Tadeusz Patzek

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Abstract

In this document, we correct the friction coefficient values presented in Table III in a study by Larson and Higdon [“A periodic grain consolidation model of porous media,” Phys. Fluids A 1, 38 (1989)]. The authors addressed the problem of Stokes flow through periodic arrays of (non)overlapping spheres and determined the friction coefficients. It appears that the volume of the overlapping region of spheres was not taken into account, which affected the total solid concentration and systematically biased the corresponding friction coefficient values. We correct the sphere concentration and friction coefficients, and validate our approach with lattice-Boltzmann simulations. The suggested correction is valid in the case of overlapping spheres only, when the volume of the overlapping region is positive.
Original languageEnglish (US)
Pages (from-to)109101
JournalPhysics of Fluids
Volume31
Issue number10
DOIs
StatePublished - Oct 11 2019

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