Two-dimensional phonon hydrodynamics in narrow strips

A. Sellitto, I. Carlomagno, D. Jou

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44 Citations (Scopus)


© 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 languageEnglish
Article number20150376
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Publication statusPublished - 8 Oct 2015


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


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