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

Abstract:
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.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Authors


Calvo-Schwarzwälder, M More by this author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
ORCID:
0000-0002-5928-6256
Alvarez, FX More by this author
‘la Caixa’ Foundation More from this funder
Spanish Ministry of Science and Innovation More from this funder
Government of Catalonia More from this funder
Publisher:
Elsevier Publisher's website
Journal:
International Communications in Heat and Mass Transfer Journal website
Volume:
91
Pages:
57-63
Publication date:
2017-12-15
Acceptance date:
2017-12-15
DOI:
ISSN:
0735-1933
Pubs id:
pubs:929986
URN:
uri:3f0a652e-da5a-4e09-8210-51fb199b8f18
UUID:
uuid:3f0a652e-da5a-4e09-8210-51fb199b8f18
Local pid:
pubs:929986

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