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http://dx.doi.org/10.5762/KAIS.2011.12.7.2931

Analytical Study on Effective Thermal Conductivity of Three-Phase Composites  

Lee, Jae-Kon (School of Mechanical and Automotive Engineering, Catholic University of Daegu)
Kim, Jin-Gon (School of Mechanical and Automotive Engineering, Catholic University of Daegu)
Publication Information
Journal of the Korea Academia-Industrial cooperation Society / v.12, no.7, 2011 , pp. 2931-2938 More about this Journal
Abstract
Effective thermal conductivity of three-phase composites, consisting of matrix and two kinds of spherical inclusions, has been derived as an explicit form by extending modified Eshelby model (MEM) for two-phase composites. The present results are compared with those by differential effective medium model (DEMM), which are also compared with the experimental results of two- and three-phase composites in the literatures to be validated. For two-phase composites, the results by MEM are better than those by DEMM for the inclusion volume fraction smaller than 0.5. Comparisons between the results by two models and experimental results have been made for three-phase composite, resulting in that MEM predicts better than DEMM for smaller volume fraction of the inclusion having larger inclusion-to-matrix thermal conductivity ratio, but DEMM predicts better as its volume fraction increases. It has been observed through parametric study that its volume fraction is the critical factor affecting the deviation of predictions by the two models. The results by them show a good agreement with the three-phase composite proposed by Molina et al..
Keywords
Thermal Conductivity; Three-Phase Composite; Modified Eshelby Model; Differential Effective Medium Model;
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