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Heat Conduction in Two-Phase Composite Materials with Three-Dimensional Microstructures and Interfacial Thermal Resistance

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Book cover Heat Transfer in Multi-Phase Materials

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 2))

Abstract

The goals envisioned for the current chapter are threefold. First, it gives a general overview of heat conduction in two-phase composite materials with three dimensional microstructures and interfacial thermal resistance. Second, it describes the application of homogenization theory to the multiscale heat conduction problem in the composite medium in order to derive the boundary-value problem defined on a representative volume element of the composite microstructure (the cell problem) and an expression for the composite effective thermal conductivity. Third, it describes a finite-element-based computational scheme to calculate the effective thermal conductivity of composite materials with general 3-D microstructures and interfacial thermal resistance. Numerical results for the effective conductivity are presented and, when possible, compared with available analytical predictions. The numerical results reported here confirm that computational approaches are a helpful tool for understanding the complex macroscopic thermal behavior of composite materials.

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Acknowledgement

M.E. Cruz would like to thank the Brazilian Council for Development of Science and Technology (CNPq) for Grants PQ-306592/2006-1 and APQ-471801/2004-6. The authors also thank Dr. Joachim Schöberl, from Johannes Kepler Universität Linz, Austria, for the free academic license of NETGEN 4.4.

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Authors and Affiliations

  1. Electric Power Research Center, Av. Horácio Macedo 354, CP 68007, Rio de Janeiro, 21941-590, RJ, Brazil

    Carlos Frederico Matt

  2. Federal University of Rio de Janeiro, Politécnica/COPPE/UFRJ, Av. Horácio Macedo 2030, 68503, 21941-972, Rio de Janeiro, RJ, Brazil

    Manuel Ernani Cruz

Authors
  1. Carlos Frederico Matt
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  2. Manuel Ernani Cruz
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Correspondence to Carlos Frederico Matt .

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Editors and Affiliations

  1. Faculty of Mechanical Engineering, Department of Applied Mechanics, Technical University of Malaysia, Johor, Malaysia

    Andreas Öchsner

  2. Dept. Mechanical Engineering, University of Newcastle, Callaghan, 2308, New South Wales, Australia

    Graeme E. Murch

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Matt, C.F., Cruz, M.E. (2010). Heat Conduction in Two-Phase Composite Materials with Three-Dimensional Microstructures and Interfacial Thermal Resistance. In: Öchsner, A., Murch, G. (eds) Heat Transfer in Multi-Phase Materials. Advanced Structured Materials, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/8611_2010_10

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