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Lattice Boltzmann Modeling of Thermal Conduction in Composites with Thermal Contact Resistance

Published online by Cambridge University Press:  30 April 2015

Chiyu Xie ,
Jinku Wang ,
Dong Wang ,
Ning Pan  and
Moran Wang
Chiyu Xie
Affiliation:
Department of Engineering Mechanics and CNMM, Tsinghua University, Beijing 100084, China
Jinku Wang
Affiliation:
National Institute of Metrology, Beijing 100084, China
Dong Wang
Affiliation:
School of Materials Science, Wuhan Textile University, Wuhan, Hubei 430200, China
Ning Pan
Affiliation:
Nanomaterials in Environment, Agriculture & Technology (NEAT), University of California, Davis, CA 95616, USA
Moran Wang*
Affiliation:
Department of Engineering Mechanics and CNMM, Tsinghua University, Beijing 100084, China School of Materials Science, Wuhan Textile University, Wuhan, Hubei 430200, China
*
*Corresponding author. Email addresses: chiyu.xie@gmail.com (C. Xie), wangjk@nim.ac.cn (J. Wang), wangdon08@126.com (D. Wang), npan@ucdavis.edu (N. Pan), mrwang@tsinghua.edu.cn (M. Wang)
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Abstract

The effective thermal conductivity of composite materials with thermal contact resistance at interfaces is studied by lattice Boltzmann modeling in this work. We modified the non-dimensional partial bounce-back scheme, proposed by Han et al. [Int. J. Thermal Sci., 2008. 47: 1276-1283], to introduce a real thermal contact resistance at interfaces into the thermal lattice Boltzmann framework by re-deriving the redistribution function of heat at the phase interfaces for a corrected dimensional formulation. The modified scheme was validated in several cases with good agreement between the simulation results and the corresponding theoretical solutions. Furthermore, we predicted the effective thermal conductivities of composite materials using this method where the contact thermal resistance was not negligible, and revealed the effects of particle volume fraction, thermal contact resistance and particle size. The results in this study may provide a useful support for materials design and structure optimization.

Keywords

65.80.-gLattice Boltzmann methodpartial bounce-back schemethermal contact resistanceeffective thermal conductivity
Type
Research Article
Information
Communications in Computational Physics , Volume 17 , Issue 4 , April 2015 , pp. 1037 - 1055
Copyright
Copyright © Global-Science Press 2015 

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