New Models for Thermal Conductivity of Particulate Composites

Three new models for the effective thermal conductivity of concentrated particulate composites are developed using the differential effective medium approach. One model predicts the relative thermal conductivity (Kr) of a particulate composite to be a function of two variables, namely thermal conductivity ratio λ (ratio of dispersed-phase to continuous-phase conductivities) and volume fraction of particles φ. The other two models predict K r to be a function of three variables, namely, λ, φ, and φ m where φm is the maximum packing volume fraction of particles. The proposed models are evaluated using twelve sets of published experimental data on the thermal conductivity of particulate composites, covering broad ranges of λ and φ.

[1]  Thomas J. Dougherty,et al.  A Mechanism for Non‐Newtonian Flow in Suspensions of Rigid Spheres , 1959 .

[2]  D. Chung,et al.  Thermally conducting aluminum nitride polymer-matrix composites , 2001 .

[3]  Shangdong Tu,et al.  Thermal Conductivities of PTFE Composites with Random Distributed Graphite Particles , 2002 .

[4]  M. Mooney,et al.  The viscosity of a concentrated suspension of spherical particles , 1951 .

[5]  D. A. G. Bruggeman.  Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen. I. Dielektrizitätskonstanten und Leitfähigkeiten der Mischkörper aus isotropen Substanzen , 1935 .

[6]  Dilek Kumlutaş,et al.  Thermal conductivity of particle filled polyethylene composite materials , 2003 .

[7]  J. D. Ford,et al.  Thermal conductivities of powder‐filled epoxy resins , 1993 .

[8]  Igor Krupa,et al.  Electrically and thermally conductive polyethylene/graphite composites and their mechanical properties , 2004 .

[9]  J. Throne,et al.  Methods for predicting the thermal conductivity of composite systems: A review , 1976 .

[10]  D. A. G. Bruggeman.  Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen. III. Die elastischen Konstanten der quasiisotropen Mischkörper aus isotropen Substanzen , 1937 .

[11]  Laurent Ibos,et al.  Thermophysical properties of polypropylene/aluminum composites , 2004 .

[12]  Lawrence E. Nielsen,et al.  Dynamic mechanical properties of particulate‐filled composites , 1970 .

[13]  Y. Agari,et al.  Estimation on thermal conductivities of filled polymers , 1986 .

[14]  R. Gupta,et al.  Thermal conductivity of concentrated, sterically stabilized suspensions , 1992 .

[15]  S. Cheng,et al.  The prediction of the thermal conductivity of two and three phase solid heterogeneous mixtures , 1969 .

[16]  I. Tavman.  Thermal and mechanical properties of aluminum powder‐filled high‐density polyethylene composites , 1996 .

[17]  Y. Agari,et al.  Thermal conductivity of polymer filled with carbon materials: Effect of conductive particle chains on thermal conductivity , 1985 .