A slip-based model for the size-dependent effective thermal conductivity of nanowires

The heat flux across a nanowire is computed based on the Guyer-Krumhansl equation. Slip conditions with a slip length depending on both temperature and nanowire radius are introduced at the outer boundary. An explicit expression for the effective thermal conductivity is derived and compared to exist...

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Bibliographic Details
Published in:International communications in heat and mass transfer 2018-02, Vol.91, p.57-63
Main Authors: Calvo-Schwarzwälder, M., Hennessy, M.G., Torres, P., Myers, T.G., Alvarez, F.X.
Format: Article
Language:English
Subjects:
Guyer-Krumhansl
Heat Transfer
Nanotechnology
Phonon Hydrodynamics
Thermal Conductivity
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Summary:The heat flux across a nanowire is computed based on the Guyer-Krumhansl equation. Slip conditions with a slip length depending on both temperature and nanowire radius are introduced at the outer boundary. An explicit expression for the effective thermal conductivity is derived and compared to existing models across a given temperature range, providing excellent agreement with experimental data for Si nanowires.
ISSN:0735-1933
1879-0178
DOI:10.1016/j.icheatmasstransfer.2017.11.013