Two-dimensional phonon hydrodynamics in narrow strips

A. Sellitto; I. Carlomagno; D. Jou

doi:https://doi.org/10.1098/rspa.2015.0376

Two-dimensional phonon hydrodynamics in narrow strips

A. Sellitto, I. Carlomagno, D. Jou

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

36 Citations (Scopus)

Abstract

© 2015 The Author(s) Published by the Royal Society. All rights reserved. Heat flow along two-dimensional strips as a function of the Knudsen number is examined in two different versions of heat-transport equations with non-local terms, with or without heat slip flow. In both of them, a parabolic heat profile corresponding to the Poiseuille phonon flow may appear in some domains of temperature, or of the Knudsen number, in the transition from the Fourier regime to the ballistic one. The influence of the slip heat flow on such a transition is discussed.

Original language	English
Article number	20150376
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	471
DOIs	https://doi.org/10.1098/rspa.2015.0376
Publication status	Published - 8 Oct 2015

Keywords

Ballistic regime
Diffusive regime
Effective thermal conductivity
Phonon hydrodynamics
Two-dimensional nanosystems

Access to Document

https://doi.org/10.1098/rspa.2015.0376

Cite this

@article{a2d8508f6f5a4a92a2fdb81e5c084cdc,

title = "Two-dimensional phonon hydrodynamics in narrow strips",

abstract = "{\textcopyright} 2015 The Author(s) Published by the Royal Society. All rights reserved. Heat flow along two-dimensional strips as a function of the Knudsen number is examined in two different versions of heat-transport equations with non-local terms, with or without heat slip flow. In both of them, a parabolic heat profile corresponding to the Poiseuille phonon flow may appear in some domains of temperature, or of the Knudsen number, in the transition from the Fourier regime to the ballistic one. The influence of the slip heat flow on such a transition is discussed.",

keywords = "Ballistic regime, Diffusive regime, Effective thermal conductivity, Phonon hydrodynamics, Two-dimensional nanosystems",

author = "A. Sellitto and I. Carlomagno and D. Jou",

year = "2015",

month = oct,

day = "8",

doi = "https://doi.org/10.1098/rspa.2015.0376",

language = "English",

volume = "471",

}

TY - JOUR

T1 - Two-dimensional phonon hydrodynamics in narrow strips

AU - Sellitto, A.

AU - Carlomagno, I.

AU - Jou, D.

PY - 2015/10/8

Y1 - 2015/10/8

N2 - © 2015 The Author(s) Published by the Royal Society. All rights reserved. Heat flow along two-dimensional strips as a function of the Knudsen number is examined in two different versions of heat-transport equations with non-local terms, with or without heat slip flow. In both of them, a parabolic heat profile corresponding to the Poiseuille phonon flow may appear in some domains of temperature, or of the Knudsen number, in the transition from the Fourier regime to the ballistic one. The influence of the slip heat flow on such a transition is discussed.

AB - © 2015 The Author(s) Published by the Royal Society. All rights reserved. Heat flow along two-dimensional strips as a function of the Knudsen number is examined in two different versions of heat-transport equations with non-local terms, with or without heat slip flow. In both of them, a parabolic heat profile corresponding to the Poiseuille phonon flow may appear in some domains of temperature, or of the Knudsen number, in the transition from the Fourier regime to the ballistic one. The influence of the slip heat flow on such a transition is discussed.

KW - Ballistic regime

KW - Diffusive regime

KW - Effective thermal conductivity

KW - Phonon hydrodynamics

KW - Two-dimensional nanosystems

U2 - https://doi.org/10.1098/rspa.2015.0376

DO - https://doi.org/10.1098/rspa.2015.0376

M3 - Article

VL - 471

M1 - 20150376

ER -

Two-dimensional phonon hydrodynamics in narrow strips

Abstract

Keywords

Access to Document

Fingerprint

Cite this