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Effective thermal conductivity of rectangular nanowires based on phonon hydrodynamics

Abstract:

A mathematical model is presented for thermal transport in nanowires with rectangular cross sections. Expressions for the effective thermal conductivity of the nanowire across a range of temperatures and cross-sectional aspect ratios are obtained by solving the Guyer–Krumhansl hydrodynamic equation for the thermal flux with a slip boundary condition. Our results show that square nanowires transport thermal energy more efficiently than rectangular nanowires due to optimal separation between th...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1016/j.ijheatmasstransfer.2018.05.096

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 Economy and Competitiveness 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 Journal of Heat and Mass Transfer Journal website
Volume:
126
Pages:
1120-1128
Publication date:
2018-05-29
Acceptance date:
2018-05-18
DOI:
ISSN:
0017-9310
Pubs id:
pubs:929983
URN:
uri:b312bdf6-c864-40ac-b0cf-0697ed88c27a
UUID:
uuid:b312bdf6-c864-40ac-b0cf-0697ed88c27a
Local pid:
pubs:929983

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