<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The purpose of this work is to present a study on heat conduction in systems that are composed out of spherical and cylindrical micro- and nanoparticles dispersed in a bulk matrix. Special emphasis is put on the dependence of the effective heat conductivity on various selected parameters as particle size and also its shape, surface specularity and density, including particle-matrix interaction. The heat transfer at nanometric scales is modelled using extended irreversible thermodynamics, whose main feature is to elevate the heat flux vector to the status of independent variable. The model is illustrated by a Copper-Silicium (Cu-Si) system. It is shown that all the investigated parameters have a considerable influence, the particle size being especially useful to either increase or decrease the effective thermal conductivity.</p></abstract>

The purpose of this work is to present a study on heat conduction in systems that are composed out of spherical and cylindrical micro- and nanoparticles dispersed in a bulk matrix. Special emphasis is put on the dependence of the effective heat conductivity on various selected parameters as particle size and also its shape, surface specularity and density, including particle-matrix interaction. The heat transfer at nanometric scales is modelled using extended irreversible thermodynamics, whose main feature is to elevate the heat flux vector to the status of independent variable. The model is illustrated by a Copper-Silicium (Cu-Si) system. It is shown that all the investigated parameters have a considerable influence, the particle size being especially useful to either increase or decrease the effective thermal conductivity.

Heat transfer at nanometric scales described by extended irreversible thermodynamics

Thermodynamics of Irreversible Phenomena, University of Liège, Liège, Belgium

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The purpose of this work is to present a study on heat conduction in systems that are composed out of spherical and cylindrical micro- and nanoparticles...

Heat transfer at nanometric scales described by extended irreversible thermodynamics

Published Online: May 20, 2016

Page range: 177 - 195

Received: Dec 09, 2014

Accepted: May 07, 2015

DOI: https://doi.org/10.1515/caim-2016-0013

Keywords
nanometric heat transfer, thermal conductivity, extended irreversible thermodynamics, spherical and cylindrical nanocomposites

© 2016 Hatim Machrafi, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Heat transfer at nanometric scales described by extended irreversible thermodynamics

Published Online: May 20, 2016

Page range: 177 - 195

Received: Dec 09, 2014

Accepted: May 07, 2015

DOI: https://doi.org/10.1515/caim-2016-0013

Keywordsnanometric heat transfer, thermal conductivity, extended irreversible thermodynamics, spherical and cylindrical nanocomposites

© 2016 Hatim Machrafi, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
nanometric heat transfer, thermal conductivity, extended irreversible thermodynamics, spherical and cylindrical nanocomposites