Investigation of the thermal conductivity of composite materials with a spherical filler

In the light of the disadvantages of existing methods for determining the thermal conductivity of composite materials, the major practical issue is the need for creating more advanced calculation methods that take into account the geometry of the dispersed inclusions and their properties, i.e., those capable of evaluating the heat-conducting parameters of the composite with consideration of the properties of its components and their relative positions. In this paper, the analytical formulas, containing the ratio of the thermal conductivity coefficients of the base material and the filler, are derived for calculating the thermal conductivity of composite. The proposed model uses averaging of parameters at the "matrix-dispersed inclusion" phase boundary. We consider several well-known models developed by domestic and foreign researchers in recent years, which allows us to calculate the coefficient of thermal conductivity of such composites. The results of comparison of these models with the analytical dependence obtained in this paper are presented, and its applicability intervals are specified for different ratios of the inclusion thermal conductivity coefficient and the matrix material...