Numerical simulations of time-dependent thermal energy transport in semiconductor thin films are performed using the lattice Boltzmann method applied to phonon transport. The discrete lattice Boltzmann Method is derived from the continuous Boltzmann transport equation assuming nonlinear, frequency-dependent phonon dispersion for acoustic and optical phonons. Results indicate that the heat conduction in silicon thin films displays a transition from diffusive to ballistic energy transport as the characteristic length of the system becomes comparable to the phonon mean free path and that the thermal energy transport process is characterized by the propagation of multiple superimposed phonon waves. The methodology is used to characterize the time-dependent temperature profiles inside films of decreasing thickness. Thickness-dependent thermal conductivity values are computed based on steady-state temperature distributions obtained from the numerical models. It is found that reducing feature size into the subcontinuum regime decreases thermal conductivity when compared to bulk values, at a higher rate than what was displayed by the Debye-based gray lattice Boltzmann method.
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e-mail: rescobar@ing.puc.cl
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September 2008
This article was originally published in
Journal of Heat Transfer
Research Papers
Thin Film Phonon Heat Conduction by the Dispersion Lattice Boltzmann Method
Rodrigo A. Escobar,
Rodrigo A. Escobar
Departamento de Ingeniería Mecánica y Metalúrgica,
e-mail: rescobar@ing.puc.cl
Pontificia Universidad Católica de Chile
, Vicuña Mackenna 4860, Macul Santiago, Chile
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Cristina H. Amon
Cristina H. Amon
Raymond Lane Distinguished Professor
ASME Life Fellowcamon@cmu.edu
Mechanical Engineering Department,
Carnegie Mellon University
, Pittsburgh, PA 15213
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Rodrigo A. Escobar
Departamento de Ingeniería Mecánica y Metalúrgica,
Pontificia Universidad Católica de Chile
, Vicuña Mackenna 4860, Macul Santiago, Chilee-mail: rescobar@ing.puc.cl
Cristina H. Amon
Raymond Lane Distinguished Professor
ASME Life Fellowcamon@cmu.edu
Mechanical Engineering Department,
Carnegie Mellon University
, Pittsburgh, PA 15213J. Heat Transfer. Sep 2008, 130(9): 092402 (8 pages)
Published Online: July 10, 2008
Article history
Received:
May 16, 2007
Revised:
December 7, 2007
Published:
July 10, 2008
Citation
Escobar, R. A., and Amon, C. H. (July 10, 2008). "Thin Film Phonon Heat Conduction by the Dispersion Lattice Boltzmann Method." ASME. J. Heat Transfer. September 2008; 130(9): 092402. https://doi.org/10.1115/1.2944249
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