Effect of edge curvature on the entropy generation rate in micro/nano scale flakes of equal area

Saad Bin Mansoor*, Bekir Sami Yilbas, Hussain Mohammad Al-Qahtani

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Micro/nanoscale heat transport in low dimensional films remains vital in the design and sustainable operation of microelectronic devices. Heat conduction in 2D, microscale flakes of diamond with curvilinear geometry is investigated utilising the phonon radiative transport model. The form of the equation of phonon radiative transfer (EPRT) is arranged such that it applies to non-orthogonal coordinate systems. The entropy generation rate in a low dimensional film is formulated incorporating the phonon intensity distribution. Numerically-generated body-fitted grids are used in the solution of the EPRT. In the procedure adopted, the phonon intensity distribution is predicted first and later used to compute the entropy generation rate. This procedure is repeated for various edge curvatures and the effect of changing curvature on the entropy generation rate is studied. It is found that increasing edge curvature results in a decrease of the total entropy generation rate per unit depth.

Original languageEnglish
Pages (from-to)129-141
Number of pages13
JournalInternational Journal of Exergy
Issue number2
StatePublished - 2022

Bibliographical note

Funding Information:
The authors acknowledge the support of The Deanship of Research (DSR) at King Fahd University of Petroleum and Minerals (KFUPM) for the funded project RG181003 and for the funded project DF191001; and acknowledgement is extended to King Abdullah City for Atomic and Renewable Energy (K. A. CARE) and Interdisciplinary Research Centre for Renewable Energy and Power Systems.

Publisher Copyright:
Copyright © 2022 Inderscience Enterprises Ltd.


  • EPRT
  • discrete ordinates method
  • entropy
  • equation of phonon radiative transfer
  • metric tensor
  • microscale heat transfer
  • phonons
  • radiative transport

ASJC Scopus subject areas

  • General Energy


Dive into the research topics of 'Effect of edge curvature on the entropy generation rate in micro/nano scale flakes of equal area'. Together they form a unique fingerprint.

Cite this