MULTI-SCALE ANALYSIS METHOD FOR COMBINED CONDUCTION-RADIATION HEAT TRANSFER OF PERIODIC COMPOSITES

摘要

A Multi-scale analysis metuod is developed for the Rosseland equation, the most common model for the cotnbined conduction-radiation heat transfer. This equation is strongly nonlinear and the composites bring forth rapidly oscillating coefficients.Under some physical conditions,we prove the existence,uniqueness and the estimation of the maximum and lower bound.We first define the asymptotic expansion formulas. Then the effective coefficients and predictor-corrector finite element algorithms are obtained.Numerical results compared with both fine mesh and volume-averaged method show that it can be applied to predict the meso-scale thermal behavior of periodic composites with good accuracy.