Commun. Comput. Phys., 6 (2009), pp. 354-366.


Numerical Study on the Tortuosity of Porous Media via Lattice Boltzmann Method

Jianhua Lu 1, Zhaoli Guo 1, Zhenhua Chai 1, Baochang Shi 2*

1 State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, 430074, China.
2 School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China.

Received 11 April 2008; Accepted (in revised version) 23 October 2008
Available online 15 December 2008

Abstract

In this paper, we simulate the pressure driven fluid flow at the pore scale level through 2-D porous media,which is composed of different curved channels via the lattice Boltzmann method. With this direct simulation, the relation between the tortuosity and the permeability is examined. The numerical results are in good agreement with the existing theory.

AMS subject classifications: 76S05, 80M25

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Key words: Tortuosity, lattice Boltzmann, porous media, pore scale.

*Corresponding author.
Email: plough0@gmail.com (J. Lu), zlguo@hust.edu.cn (Z. Guo), hustczh@126.com (Z. Chai), sbchust@126.com (B. Shi)
 

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