A model of solute diffusion in unsaturated double-porosity medium by homogenization

Dual-porosity model of solute diffusion in biological tissue modified by electroporation.

In many electroporation applications mass transport in biological tissue is of primary concern. This paper presents a theoretical advancement in the field and gives some examples of model use in electroporation applications. The study focuses on post-treatment solute diffusion. We use a dual-porosity approach to describe solute diffusion in electroporated biological tissue. The cellular membran...

Thermomechanical Response in Thermoelastic Medium with Double Porosity

A dynamic two dimensional problem of thermoelasticity with double porous structure has been considered to investigate the disturbance due to normal force and thermal source. Laplace and Fourier transform technique is applied to the governing equations to solve the problem. The transformed components of stress and temperature distribution are obtained .The resulting expressions are obtained in t...

A Fully Coupled THM Double Porosity Formulation for Unsaturated Soils

Modelling of Water Flow and Solute Transport in Double Porosity Unsaturated Media: Theory, Two-scale Computations and Experiments

“Multi-scale, multi-components, multi-phases” are the key words that characterize the double porosity media, like fissured rocks, aggregated soils or composite geomaterials, subject to environmental conditions. In relation to this context an integrated upscaling approach to the modelling of water flow and solute transport under unsaturated conditions in double porosity media, is presented. The ...

Homogenization of Heat Diffusion in a Cracked Medium

We develop in this Note a homogenization method to tackle the problem of a diffusion process through a cracked medium. We assume that the cracks are orthogonal to the surface of the material, where an incoming heat flux is applied. The cracks are supposed to be of depth 1, of small width, and periodically arranged. We show that the cracked surface of the domain induces a volume source term in t...