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Application of path-percolation theory and Lattice-Boltzmann method to investigate structure-property relationships in porous media

Title
Application of path-percolation theory and Lattice-Boltzmann method to investigate structure-property relationships in porous media
Author
엄석기
Keywords
Lattice-Boltzmann model; Path-percolation theory; Porous media; Fluid flow; Mass diffusion; Effective diffusion coefficient
Issue Date
2015-07
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Citation
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, v. 86, Page. 101-112
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. (C) 2015 Elsevier Ltd. All rights reserved.
URI
http://www.sciencedirect.com/science/article/pii/S0017931015001866http://hdl.handle.net/20.500.11754/26541
ISSN
0017-9310; 1879-2189
DOI
10.1016/j.ijheatmasstransfer.2015.02.023
Appears in Collections:
COLLEGE OF ENGINEERING[S](공과대학) > MECHANICAL ENGINEERING(기계공학부) > Articles
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