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

被引：31

作者：

Valdes-Parada, Francisco J. ^{[1
]}

Ochoa-Tapia, Alberto ^{[1
]}

Alvarez-Ramirez, Jose ^{[1
]}

机构：

[1] Univ Autonoma Metropolitana Iztapalapa, Dept Ingn Proc & Hidraul, Mexico City 09340, DF, Mexico

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2006年 / 369卷 / 02期

关键词：

reaction-diffusion; porous media; effective medium equations; pseudo-homogeneous equations;

D O I：

10.1016/j.physa.2006.02.030

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：318 / 328

页数：11

共 21 条

[1] Modeling river flows with heavy tails [J].