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 - 10.1098/rspa.2015.0376
DO - 10.1098/rspa.2015.0376
M3 - Article
SN - 1364-5021
VL - 471
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
M1 - 20150376
ER -