Special Session 83: New Aspects of Mathematical Modeling and Analysis in Materials Science

Derivation and Analysis of Macroscopic Models Describing Reaction and Diffusion in Porous Media
CHRISTOS NIKOLOPOULOS
University of the Aegean
Greece
Co-Author(s):    
Abstract:
The derivation and analysis of mathematical models describing diffusion and reaction of chemical components in porous media is presented. More specifically there is emphasis on the variation of the overall diffusion resulting from the changing shape of a single pore due to reaction process. These models are derived by averaging, with the use of the multiple scales method. Aspects such as the volume expansion of the material, clogging, etc, due to the material transformation are investigated. The derived macroscopic models are solved numerically and a series of simulations are presented.