Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979719 | Physica A: Statistical Mechanics and its Applications | 2006 | 11 Pages |
Abstract
This paper focuses on the reaction-diffusion problem in a disordered porous medium. The objective is to obtain an effective medium description of the concentration dynamics having a fractional Cattaneo's law equation as the flux constitutive equation. The methodology is based on a volume averaging procedure, and simplifications are made on the basis of an order of magnitude analysis with physical grounds. Sufficient conditions to obtain pseudo-homogeneous models are given. The closure problem associated with the effective diffusivity definition results to be the same that the one corresponding to Fickian diffusion.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Francisco J. Valdes-Parada, J. Alberto Ochoa-Tapia, Jose Alvarez-Ramirez,