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Continuum Modeling of Diffusive Transport in Inhomogeneous Solids Read chapter Read first chapter

2011 | OriginalPaper | Chapter

Lattice Monte Carlo Analysis of Thermal Diffusion in Multi-Phase Materials

Authors : T. Fiedler, I. V. Belova, A. Öchsner, G. E. Murch

Published in: Heat Transfer in Multi-Phase Materials

Publisher: Springer Berlin Heidelberg

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Abstract

This Chapter addresses the numerical simulation of thermal diffusion in multi-phase materials. A Lattice Monte Carlo method is used in the analysis of two- and three-dimensional calculation models. The composites considered are assembled by two or three phases, each exhibiting different thermal conductivities. First, a random distribution of phases is considered and the dependence of the effective thermal conductivity on the phase composition is investigated. The second part of this analysis uses a random-growth algorithm that simulates the influence of surface energy on the formation of composite materials. The effective thermal conductivity of these structures is investigated and compared to random structures. The final part of the Chapter addresses percolation analyses. It is shown that the simulation of surface energy distinctly affects the percolation behavior and therefore the thermal properties of composite materials.

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previous chapter Predictions of Effective Thermal Conductivity of Complex Materials
next chapter Optimization of a Unit Periodic Cell in Lattice Block Materials Aimed at Thermo-Mechanical Applications
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Metadata
Title
Lattice Monte Carlo Analysis of Thermal Diffusion in Multi-Phase Materials
Authors
T. Fiedler
I. V. Belova
A. Öchsner
G. E. Murch
Copyright Year
2011
Publisher
Springer Berlin Heidelberg
Book
Heat Transfer in Multi-Phase Materials

Print ISBN: 978-3-642-04402-1

Electronic ISBN: 978-3-642-04403-8

Copyright Year: 2011

DOI
https://doi.org/10.1007/8611_2010_6

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