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Calculation of the effective thermal conductivity in composites using finite element and Monte Carlo Methods

In this paper, the Finite Element and lattice Monte Carlo methods are used to calculate the effective thermal conductivity of two models of a composite: circular and square inclusions arranged in a square planar arrangement. A new lattice Monte Carlo method based around Fick’s First Law is also pres...

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Main Authors: Fiedler, Thomas, Öchsner, Andreas, Muthubandara, Nilindu, V. Belova, Irina, E. Murch, Graeme
Format: Article
Language:English
Published: 2007
Subjects:
TJ Mechanical engineering and machinery
Online Access:http://eprints.utm.my/id/eprint/17090/1/Andreas%C3%96chsner2007_CalculationoftheEffectiveThermalConductivity.pdf
http://eprints.utm.my/id/eprint/17090/
http://dx.doi.org/10.4028/www.scientific.net/MSF.553.51
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spelling my.utm.170902011-11-30T04:00:25Z http://eprints.utm.my/id/eprint/17090/ Calculation of the effective thermal conductivity in composites using finite element and Monte Carlo Methods Fiedler, Thomas Öchsner, Andreas Muthubandara, Nilindu V. Belova, Irina E. Murch, Graeme TJ Mechanical engineering and machinery In this paper, the Finite Element and lattice Monte Carlo methods are used to calculate the effective thermal conductivity of two models of a composite: circular and square inclusions arranged in a square planar arrangement. A new lattice Monte Carlo method based around Fick’s First Law is also presented. Excellent agreement is found between these quite different methods. It is also shown that the results are in excellent agreement with the century-old Maxwell Equation. 2007 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/17090/1/Andreas%C3%96chsner2007_CalculationoftheEffectiveThermalConductivity.pdf Fiedler, Thomas and Öchsner, Andreas and Muthubandara, Nilindu and V. Belova, Irina and E. Murch, Graeme (2007) Calculation of the effective thermal conductivity in composites using finite element and Monte Carlo Methods. Materials Science Forum, 553 . pp. 51-56. http://dx.doi.org/10.4028/www.scientific.net/MSF.553.51 10.4028/www.scientific.net/MSF.553.51
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic TJ Mechanical engineering and machinery
spellingShingle TJ Mechanical engineering and machinery
Fiedler, Thomas
Öchsner, Andreas
Muthubandara, Nilindu
V. Belova, Irina
E. Murch, Graeme
Calculation of the effective thermal conductivity in composites using finite element and Monte Carlo Methods
description In this paper, the Finite Element and lattice Monte Carlo methods are used to calculate the effective thermal conductivity of two models of a composite: circular and square inclusions arranged in a square planar arrangement. A new lattice Monte Carlo method based around Fick’s First Law is also presented. Excellent agreement is found between these quite different methods. It is also shown that the results are in excellent agreement with the century-old Maxwell Equation.
format Article
author Fiedler, Thomas
Öchsner, Andreas
Muthubandara, Nilindu
V. Belova, Irina
E. Murch, Graeme
author_facet Fiedler, Thomas
Öchsner, Andreas
Muthubandara, Nilindu
V. Belova, Irina
E. Murch, Graeme
author_sort Fiedler, Thomas
title Calculation of the effective thermal conductivity in composites using finite element and Monte Carlo Methods
title_short Calculation of the effective thermal conductivity in composites using finite element and Monte Carlo Methods
title_full Calculation of the effective thermal conductivity in composites using finite element and Monte Carlo Methods
title_fullStr Calculation of the effective thermal conductivity in composites using finite element and Monte Carlo Methods
title_full_unstemmed Calculation of the effective thermal conductivity in composites using finite element and Monte Carlo Methods
title_sort calculation of the effective thermal conductivity in composites using finite element and monte carlo methods
publishDate 2007
url http://eprints.utm.my/id/eprint/17090/1/Andreas%C3%96chsner2007_CalculationoftheEffectiveThermalConductivity.pdf
http://eprints.utm.my/id/eprint/17090/
http://dx.doi.org/10.4028/www.scientific.net/MSF.553.51
_version_ 1643646726827933696
score 13.164666

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