Application of path-percolation theory and Lattice-Boltzmann method to investigate structure-property relationships in porous media
- Authors
- Cekmer, Ozgur; Um, Sukkee; Mench, Matthew M.
- Issue Date
- Jul-2015
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Lattice-Boltzmann model; Path-percolation theory; Porous media; Fluid flow; Mass diffusion; Effective diffusion coefficient
- Citation
- INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, v.86, pp.101 - 112
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
- Volume
- 86
- Start Page
- 101
- End Page
- 112
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/156832
- DOI
- 10.1016/j.ijheatmasstransfer.2015.02.023
- ISSN
- 0017-9310
- Abstract
- In this study, path-percolation theory was applied to randomly generate porous media, and effective porosities of these domains were determined. A statistical approach was pursued to determine effective porosity with confidence levels of 95%, 97%, and 99%. Furthermore, the Lattice-Boltzmann method was applied to obtain the velocity distribution throughout the porous channels to evaluate effective tortuosity. Two dimensional lattices with nine velocity components were utilized for fluid flow simulations. A new effective diffusivity model for porous media was developed using the effective porosity and tortuosity determined by path-percolation and Lattice-Boltzmann theories, respectively. Diffusion behavior of gasses in porous media as a function of porosity is typically unpredictable when the porosity is below 0.6, but the developed diffusion model as a function of effective porosity is shown to be useful in all effective porosity ranges.
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