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

Authors: Saad Bin Mansoor; Bekir Sami Yilbas; Hussain Mohammad Al-Qahtani

Addresses: Mechanical Engineering Department, King Fahd University of Petroleum and Minerals, Saudi Arabia ' Mechanical Engineering Department, King Fahd University of Petroleum and Minerals, Saudi Arabia; Interdisciplinary Research Center of Renewable Energy and Power, King Fahd University of Petroleum and Minerals, Saudi Arabia; KACARE Center, King Fahd University of Petroleum and Minerals, Saudi Arabia; Turkish Japanese University of Science and Technology, Istanbul, Turkey ' Mechanical Engineering Department, King Fahd University of Petroleum and Minerals, Saudi Arabia

Abstract: 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.

Keywords: phonons; microscale heat transfer; entropy; metric tensor; radiative transport; equation of phonon radiative transfer; EPRT; discrete ordinates method.

DOI: 10.1504/IJEX.2022.125520

International Journal of Exergy, 2022 Vol.39 No.2, pp.129 - 141

Received: 17 Sep 2021
Accepted: 09 Dec 2021
Published online: 13 Sep 2022 *

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