MICROMECHANICAL ESTIMATES FOR THE EFFECTIVE PERMEABILITY OF 2D POROUS MATERIALS WITH ARBITRARILY SHAPED PORES
-
Published:2023
Issue:5
Volume:26
Page:57-77
-
ISSN:1091-028X
-
Container-title:Journal of Porous Media
-
language:en
-
Short-container-title:J Por Media
Author:
Tran A.-T.,Le-Quang Hung,He Q.-C.,Nguyen D.-H.
Abstract
The present work aims to determine the effective permeability of two-dimensional (2D) porous materials consisting of an isotropic permeable solid matrix in which arbitrarily shaped pores are embedded. The interfaces between the solid phase and pores are characterized by the Beavers-Joseph-Saffman conditions. To achieve the objective, by combining the complex variable method with the conformal mapping technique, we first solve the fundamental coupled Darcy-Stokes problem concerning the fluid flow in an infinite permeable solid containing a pore of arbitrary shape and undergoing a remote uniform pressure gradient. Next, with the help of this solution, each fluid-filled pore is replaced with an equivalent permeable inclusion whose permeability is determined. Finally, the dilute distribution, Mori-Tanaka, and differential schemes of micromechanics are applied to obtain estimates for the effective permeability of 2D composites with pores of different shapes. These estimates are compared with the relevant numerical results provided by the finite element method (FEM) and the boundary element method (BEM). In particular, the dependence of the effective permeability on the pore shapes is discussed.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science,Biomedical Engineering,Modeling and Simulation
Reference45 articles.
1. Auriault, J. and Boutin, C., Deformable Porous Media with Double Porosity. Quasi-Statics. I: Coupling Effects, Transp. Porous Media, vol. 7, pp. 63-82,1992. 2. Auriault, J. and Boutin, C., Deformable Porous Media with Double Porosity. Quasi-Statics. II: Memory Effects, Transp. Porous Media, vol. 10, pp. 153-169, 1993. 3. Auriault, J. and Boutin, C., Deformable Porous Media with Double Porosity. Quasi-Statics. III: Acoustic, Transp. Porous Media, vol. 14, pp. 143-162, 1994. 4. Auriault, J. and Sanchez-Palencia, E., Etude du Comportement Macroscpoique d'un Milieu Poreux Sature Deformable, J. Mecanique, vol. 16, pp. 575-603, 1977. 5. Barbetta, A. and Cameron, N.R., Morphology and Surface Area of Emulsion-Derived (Polyhipe) Solid Foams Prepared with Oil-Phase Soluble Porogenic Solvents: Span 80 as Surfactant, Macromolecules, vol. 37, no. 9, pp. 3188-3201, 2004a.
|
|