Double conductivity media: a comparison between phenomenological and homogenization approaches

Jean-Louis Auriault (1) , Pascale Royer (1)

1 3SR - Laboratoire sols, solides, structures - risques [Grenoble]

The heat lransfer mode) for the double conductivity medium is investigated. The medium is composed of two homogeneous materials which differ considerably in their conductivity characteristics. The aim of this paper is to compare the descriptions obtained by a phenomenological and a homogenization approach. The first one, which introduces two temperature fields, is shown to be inefficient for a large range of the phenomena. The latter gives the rigorous description. The study enables us to improve the phenomenological description. It provides an approximation which is valid for the quasi-static conditions.

Domaines: Thermique [physics.class-ph]

Jean-Louis Auriault, Pascale Royer. Double conductivity media: a comparison between phenomenological and homogenization approaches. International Journal of Heat and Mass Transfer, 1993, 36 (10), pp.2613 - 2621. ⟨10.1016/S0017-9310(05)80198-X⟩. ⟨hal-01713562⟩