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TECHNICAL PAPERS: Micro/Nanoscale Heat Transfer

Modified Method of Characteristics for Simulating Microscale Energy Transport

[+] Author and Article Information
Laurent Pilon, Kamal M. Katika

Mechanical and Aerospace Engineering Department, Henri Samueli School of Engineering and Applied Science, University of California, Los Angeles, Los Angeles, CA 90095

J. Heat Transfer 126(5), 735-743 (Nov 16, 2004) (9 pages) doi:10.1115/1.1795233 History: Received June 11, 2003; Revised February 20, 2004; Online November 16, 2004
Copyright © 2004 by ASME
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References

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Figures

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Typical computational cell used for inverse marching method containing the pathline of the phonons
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Block diagram of the numerical procedure for solving the spectral EPRT by the modified method of characteristics
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Numerical solution for transient heat conduction in the ballistic limit for a 1 μm thick gray diamond type IIa thin film with black bounding surfaces using different grids and 30 directions
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Numerical solution for steady-state heat conduction in the ballistic limit for a 400 nm thick gray gallanium arsenide thin film with black bounding surfaces
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Numerical solution for transient heat conduction across a 1 μm thick diamond type IIa thin film
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Numerical solution for steady-state heat conduction across a diamond type IIa thin film of different thicknesses L
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Schematic for heat conduction problem along a silicon crystal thin film of length L
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Comparison of numerical simulations of heat conduction along a 1 μm thick and 10 μm long silicon crystal thin-film.

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