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Cross-plane heat conduction in thin solid films

Hua, Chengyun and Minnich, Austin J. (2014) Cross-plane heat conduction in thin solid films. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20141027-095518248

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Abstract

Cross-plane heat transport in thin films with thickness comparable to the phonon mean free paths is of both fundamental and practical interest. However, physical insight is difficult to obtain for the cross-plane geometry due to the challenge of solving the Boltzmann equation in a finite domain. Here, we present a semi-analytical series expansion method to solve the transient, frequency-dependent Boltzmann transport equation that is valid from the diffusive to ballistic transport regimes and rigorously includes frequency-dependence of phonon properties. Further, our method is more than three orders of magnitude faster than prior numerical methods and provides a simple analytical expression for the thermal conductivity as a function of film thickness. Our result enables a more accurate understanding of heat conduction in thin films.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1410.2845arXivDiscussion Paper
Additional Information:This work was sponsored in part by Robert Bosch LLC through Bosch Energy Research Network Grant no. 13.01.CC11, by the National Science Foundation under Grant no. CBET CAREER 1254213, and by Boeing under the Boeing-Caltech Strategic Research & Development Relationship Agreement.
Funders:
Funding AgencyGrant Number
Robert Bosch LLC Bosch Energy Research Network 13.01.CC11
NSF CBET CAREER1254213
Boeing-Caltech Strategic Research & Development Relationship AgreementUNSPECIFIED
Record Number:CaltechAUTHORS:20141027-095518248
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20141027-095518248
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:50835
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:27 Oct 2014 17:02
Last Modified:03 Oct 2019 07:27

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