Estimating Entropy Generation Rate for Ballistic-Diffusive Phonon Transport Using Effective Thermal Conductivity

Saad Bin Mansoor*, Bekir S. Yilbas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The entropy generation rate in a low dimensional film is formulated incorporating the heat flux and effective thermal conductivity of the film material. In the analysis, the mathematical formulation employed is kept the same as that used in the diffusive regime. However, the entropy generation rate is corrected by replacing the bulk thermal conductivity with an effective thermal conductivity evaluated from the Boltzmann equation. The entropy generation rate using the phonon distribution from the equation of phonon radiative transport in the film material is employed. The results show that both formulations result in a very close match for the entropy generation rates.

Original languageEnglish
Pages (from-to)321-327
Number of pages7
JournalJournal of Non-Equilibrium Thermodynamics
Volume46
Issue number3
DOIs
StatePublished - 1 Jul 2021

Bibliographical note

Publisher Copyright:
© 2021 Walter de Gruyter GmbH, Berlin/Boston 2021.

Keywords

  • Boltzmann equation
  • effective thermal conductivity
  • entropy generation rate

ASJC Scopus subject areas

  • General Chemistry
  • General Physics and Astronomy

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