Effective medium equation for fractional Cattaneo's diffusion and heterogeneous reaction in disordered porous media

Francisco J. Valdes-Parada, J. Alberto Ochoa-Tapia and Jose Alvarez-Ramirez

Physica A: Statistical Mechanics and its Applications, 2006, vol. 369, issue 2, 318-328

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: Reaction-diffusion; Porous media; Effective medium equations; Pseudo-homogeneous equations (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437106002020
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:369:y:2006:i:2:p:318-328

DOI: 10.1016/j.physa.2006.02.030

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().