Study of various geometric inclusions on effective thermal conductivity estimation of two phase materials

Abstract

The two-phase materials such as ceramics, porous materials, etc play a vital role in engineering applications. The prediction of the effective thermal conductivity of such two-phase materials is, therefore, essential. The two-phase materials comprise of natural and chemical structures and combined with the formation of continuous and which when dispersed phases supports their attributes. The geometry dependent resistance models are employed to approximate the effective thermal conductivity of two-phase materials. In this work, algebraic equations are derived based on isotherm approach for various asymmetric geometry such as triangle and pentagon models by contemplating the influence of basic parameters are concentration, conductivity ratio and contact resistance. For any range of a conductivity ratio, the Maxwell equation and Hashin-Shtrikman equation are considered for the concentration varying from 0 to 0.1 and 0.9 to 1, respectively and the proposed equation is valid for the concentration ranging from 0.11 to 0.89 for approximating the effective thermal conductivity of the two-phase materials. The proposed models and standard models are compared with experimental data for diverse kinds of two phase materials for validation. newline