ISSN Online: 2377-424X
ISBN Print: 1-56032-797-9
International Heat Transfer Conference 11
COMPUTATION OF THE EFFECTIVE CONDUCTIVITY OF THREE-DIMENSIONAL ORDERED COMPOSITES WITH A THERMALLY-CONDUCTING DISPERSED PHASE
Аннотация
In this paper we extend a finite-element-based
methodology to solve the problem of three-dimensional
heat conduction in ordered composites with a thermally-conducting dispersed phase. The effective property of interest is the effective thermal conductivity. The method of homogenization is employed to derive the continuous cell problem and an expression for the effective conductivity. Finite elements are used for numerical solution of the cell problem. Our continuous and numerical formulations are
applicable to both ordered and random composites;
however, here we only compute the effective conductivity
of the former. We validate our results against a
well-known semi-analytical solution to the same problem.
Future work will extend the current implementation
to random composites, which model more closely
the materials usually encountered in practice.