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Journal of Non-Equilibrium Thermodynamics

Founded by Keller, Jürgen U.

Editor-in-Chief: Hoffmann, Karl Heinz

Managing Editor: Prehl, Janett / Schwalbe, Karsten

Ed. by Michaelides, Efstathios E. / Rubi, J. Miguel


IMPACT FACTOR 2017: 1.633
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Online
ISSN
1437-4358
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Volume 40, Issue 3

Issues

Phonon transport characteristics across silicon thin film pair: Presence of a gap between the films

Haider Ali
  • Department of Mechanical Engineering, King Fahd University of Petroleum & Minerals, KFUPM Box 1913, Dhahran 31261, Saudi Arabia
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/ Bekir S. Yilbas
  • Corresponding author
  • Department of Mechanical Engineering, King Fahd University of Petroleum & Minerals, KFUPM Box 1913, Dhahran 31261, Saudi Arabia
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Published Online: 2015-06-18 | DOI: https://doi.org/10.1515/jnet-2015-0006

Abstract

Phonon transport across silicon thin film pair with minute gap (Casimir limit) between the films is studied. Phonon transport characteristics across the gap are examined for various gap sizes, and the transient solution of the frequency-dependent Boltzmann transport equation is presented according to relevant boundary conditions incorporating the gap between the film pair. Since the gap size is minute (Casimir limit), the radiative energy transport between the edges of the film pair is incorporated. In addition, phonon transmission and reflection is introduced at the gap edges, thus satisfying energy conservation. The thermal conductivity predicted is validated through experimental data reported in the open literature. Predicted thermal conductivity data agree well with the experimental data reported in the open literature. Increasing gap size alters the phonon transport characteristics across the film pair. Increasing gap size enhances temperature difference between the edges of the gap; in which case, the effect of phonon transmittance is more significant on the temperature difference than that corresponding to the radiation heat transfer due to Casimir limit.

Keywords: Casimir limit; film pair; gap size; phonon transport

About the article

Received: 2015-02-21

Revised: 2015-05-18

Accepted: 2015-05-27

Published Online: 2015-06-18

Published in Print: 2015-09-01


Citation Information: Journal of Non-Equilibrium Thermodynamics, Volume 40, Issue 3, Pages 153–170, ISSN (Online) 1437-4358, ISSN (Print) 0340-0204, DOI: https://doi.org/10.1515/jnet-2015-0006.

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