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

Siarhei Khirevich; Tadeusz Patzek

doi:10.1063/1.5116700

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 language	English (US)
Pages (from-to)	109101
Journal	Physics of Fluids
Volume	31
Issue number	10
DOIs	https://doi.org/10.1063/1.5116700
State	Published - Oct 11 2019

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: We are grateful for the allocation of computational resources by the Supercomputing Laboratory at King Abdullah University of
Science and Technology (KAUST) in Thuwal, Saudi Arabia.

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10.1063/1.5116700

https://repository.kaust.edu.sa/bitstream/10754/658595/1/1.5116700.pdf

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

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.",

author = "Siarhei Khirevich and Tadeusz Patzek",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: We are grateful for the allocation of computational resources by the Supercomputing Laboratory at King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia.",

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doi = "10.1063/1.5116700",

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T1 - Comment on “A periodic grain consolidation model of porous media” [Phys. Fluids A 1, 38 (1989)]

AU - Khirevich, Siarhei

AU - Patzek, Tadeusz

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: We are grateful for the allocation of computational resources by the Supercomputing Laboratory at King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia.

PY - 2019/10/11

Y1 - 2019/10/11

N2 - 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.

AB - 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.

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DO - 10.1063/1.5116700

M3 - Article

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JO - Physics of Fluids

JF - Physics of Fluids

IS - 10

ER -

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

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