Derivation of a Convection Process in a Steady Diffusion-Transfer Problem by Homogenization

Details Derivation of a Convection Process in a Steady Diffusion-Transfer Problem by Homogenization Derivation of a Convection Process in a Steady Diffusion-Transfer Problem by Homogenization

2007-10-27

arxiv.org/abs/0710.5222v1

International Journal of Applied Mathematics, Volume 21 No. 1 2008, 83-97

Mathematics

Analysis of PDEs

14 pages

Scientific paper

We study the homogenization of a steady diffusion equation in a highly heterogeneous medium made of two subregions separated by a periodic barrier through which the flow is proportional to the jump of the temperature by a layer conductance of the same order of magnitude of the materials in consideration. The macroscopic governing equations and the effective conductivity of the homogenized model are obtained by means of the two scale convergence technique. We show that under some hypothesis the homogenized systems contain convective terms of order one.

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