Abstract
The present paper deals with the effect of geometry of filler particles on the effective thermal conductivity for polymer composites. In the earlier models, less emphasis has been given on the shape of filler particles. In this paper, expressions for effective thermal conductivity has been derived using the law of minimal thermal resistance and equal law of the specific equivalent thermal conductivity for three different shapes i.e. spherical, elliptical and hexagonal of filler particles respectively. Calculated values of effective thermal conductivity for various samples using the derived expressions then compared with experimental data available and other models developed in the literature. The results calculated are in good agreement with the earlier experimental data and the deviation, is least in our expressions showing the success of the model.
Highlights
Particle filled polymer composites have become important because of their wide applications in science and engineering for technological developments
Expressions for effective thermal conductivity has been derived using the law of minimal thermal resistance and equal law of the specific equivalent thermal conductivity for three different shapes i.e. spherical, elliptical and hexagonal of filler particles respectively
We have obtained semi empirical relations for effective thermal conductivities given by Equations (17)-(19). These equations have been derived taking into account the different shapes of filler particles as spherical, elliptical and hexagonal
Summary
Particle filled polymer composites have become important because of their wide applications in science and engineering for technological developments. Liang and Liu [10] gave a theoretical model for evaluating the effective thermal conductivity of inorganic particulate polymer composites. Tekce et al [12] studied the thermal conductivity of copper filled polyamide composites using the Hot-Disk method in the range of filler content 0% - 30% by volume for short fibers and 50% - 60% by volume for particle shape of plates and spheres. Liang and Lia [16] studied the heat transfer mechanism in inorganic hollow micro-spheres filled polymer composites and proposed a heat transfer model. Expressions for effective thermal conductivity ( Keff ) of various inorganic particles filled polymer composites has been developed for different shapes of filler particles as spherical, elliptical and hex-. The calculations were done for samples and compared with the experimental results available in the literature
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More From: International Journal of Modern Nonlinear Theory and Application
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