Continuum modeling and simulation of multiphase diffusion through a porous solid. (March 2015)

• Record Type: Journal Article
• Authors: Zhao, Qiangsheng; Papadopoulos, Panayiotis
• Other Names: Casey James guest-editor.
• Is Part Of: Mathematics and mechanics of solids. Volume 20:Number 3(2015:Mar.)
• Page Start: 251
• Page End: 267
• Publication Date: 2015-03
• Subjects: Porous media -- multiphase flow -- diffusion -- capillarity -- elasticity -- finite element method -- Nafion; Materials -- Mechanical properties -- Periodicals; Solids -- Periodicals; Materials science -- Mathematics -- Periodicals; 620.11205
• DOI: 10.1177/1081286514544854
• Languages: English
• ISSNs: 1081-2865

Abstract

A theory is proposed for the continuum modeling of liquid and gas diffusion through a deformable porous solid. The solid and the voids are locally homogenized to yield a macroscopic solid phase. Liquid saturation of the voids and gas pressure are included as state variables to model diffusion. A model based on the proposed theory is implemented numerically using the finite element method, and tested with three simulations on sand and Nafion.