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多孔介质期刊
影响因子: 1.061 5年影响因子: 1.151 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v3.i3.50
7 pages

Effective Conductivity for Porous Media: A Maxwellian Approach

Rogerio E. Martinez-Gomez
Universidad Autonoma Metropolitana—Iztapalapa, Av. Michoacan y La Purisima, Col.Vicentina, 09340 Mexico D.F.
Alberto Soria
Universidad Autonoma Metropolitana—Iztapalapa, Av. Michoacan y La Purisima, Col.Vicentina, 09340 Mexico D.F.

ABSTRACT

In the present work, our objective is the development of an expression for the effective conductivity of transport processes that obey Laplace equation at the steady state, such as mass diffusivity, coefficient for diffusive mass transport, or thermal diffusivity for molecular heat transport. The Laplace equation for the electrical potential was solved for a cylindrical domain that contains a concentric nonconductive obstruction. As the central obstruction radius approaches zero, an equation for electrical potential in an homogeneous domain is obtained, leading to an expression for the effective conductivity.


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