Homogenization of a composite medium with a thermal barrier
Mongi Mabrouk, Samadi Hassan · Mathematical Methods in the Applied Sciences · 2004
Abstract In this work, we consider a heat transfer problem between two periodic connected media exchanging a heat flux throughout their common interface. The interfacial exchange coefficient λ is assumed to tend to zero or to infinity following a rate λ=λ(ε) when the size εof the basic cell tends to zero. Three homogenized problems are determined according to the value of δ=limε→0λ/ε. Copyright © 2004 John Wiley & Sons, Ltd.