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Journal of Non-Equilibrium Thermodynamics

Founded by Keller, Jürgen U.

Editor-in-Chief: Hoffmann, Karl Heinz

Managing Editor: Prehl, Janett / Paul, Raphael

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


IMPACT FACTOR 2018: 2.083

CiteScore 2018: 1.84

SCImago Journal Rank (SJR) 2018: 0.564
Source Normalized Impact per Paper (SNIP) 2018: 0.876

Online
ISSN
1437-4358
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Volume 39, Issue 3

Issues

Entropy generation in silicon thin film: Influence of film thickness on entropy generation rate

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
  • Department of Mechanical Engineering, King Fahd University of Petroleum & Minerals, KFUPM Box 1913, Dhahran 31261, Saudi Arabia
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Published Online: 2014-07-02 | DOI: https://doi.org/10.1515/jnet-2014-0008

Abstract

Thermodynamic irreversibility in thin silicon film is considered and entropy generation in the film is predicted. The Boltzmann equation is incorporated to formulate the phonon transport in the film due to temperature disturbance across the film edges. Frequency-dependent and frequency-independent phonon transport are introduced to compare the entropy predictions due to both cases. The study is extended to include the effect of the film thickness on the entropy generation in the film. A numerical code is developed using the discrete ordinate method and the predictions are validated with the data presented in our previous study. It is found that entropy generation is higher in the close region of the high temperature film edge. As the film thickness increases towards the cold temperature of the film edge, entropy generation rate becomes gradual. Entropy generation due to the frequency-independent case is higher than that corresponding to the frequency-dependent case. This behavior is attributed to the ballistic phonons, which do not contribute to the film resistance; therefore, they do not contribute to entropy generation in the film.

Keywords: Entropy; phonon transport; thin film; Boltzmann equation

About the article

Received: 2014-04-02

Revised: 2014-06-03

Accepted: 2014-06-10

Published Online: 2014-07-02

Published in Print: 2014-09-01


Citation Information: Journal of Non-Equilibrium Thermodynamics, Volume 39, Issue 3, Pages 147–158, ISSN (Online) 1437-4358, ISSN (Print) 0340-0204, DOI: https://doi.org/10.1515/jnet-2014-0008.

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