Jl. Auriault et Hi. Ene, MACROSCOPIC MODELING OF HEAT-TRANSFER IN COMPOSITES WITH INTERFACIAL THERMAL BARRIER, International journal of heat and mass transfer, 37(18), 1994, pp. 2885-2892
Macroscopic modelling of heal transfer in composites in the presence o
f interfacial thermal resistance is determined from a description at t
he heterogeneity scale using a method of double-scale asymptotic devel
opments. The analysis shows five different models. Their domains of va
lidity are defined by the value of a dimensionless parameter. That per
mits the determination of the correct model for a given macroscopic bo
undary value problem. The models for a binary composite are shown to b
elong to two main types: one-temperature and two-temperature field mod
els.