Lattice Monte Carlo simulation of thermal conductivity in composite materials

Abstract

Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014.

This paper addresses the numerical simulation of thermal conductivity of composite material. A Lattice Monte Caro method is used in the analysis of two-dimensional two component models with different inclusions, including circular inclusion, elliptical inclusion, square inclusion, random generated circular inclusions. Through simulation on these models, relationships among phase fraction of low conductivity phase (B phase), ratio of thermal conductivities of two phases (B and A) and relative effective thermal conductivities are obtained. Also, thermal conductivity of porous silicon with porosity of 26% is predicted and excellent agreements are achieved when compared with experimental results. Finally, research on thermal conductivity of sintered porous nickel is carried out. Microstructure image which is obtained with scanning electron microscope (SEM) is digitized by image processing method. The results exhibit a good agreement with experimental results in literature.