Expression for ETC of the solid phase of randomly packed granular materials

Abstract Effective thermal conductivity (ETC) is an important parameter describing the thermal behavior of particulate materials, and has been extensively examined in the past decades. In this paper, a theoretical model called parallel-column model is proposed and based on this model, an analytical expression is developed to predict the ETC of the solid phase of granular materials. The ETC is expressed in terms of particle size distribution, the compressive strain and thermal conductivity of individual particle. Different types of contact force models and grain size distribution is incorporated into the parallel-column model and the expression for ETC is derived for different types of contact force models and grain size distribution.

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