Phonon transport across nano-scale curved thin films

Mansoor, Saad Bin; Yilbaş, Bekir Sami

doi:10.1016/j.physb.2016.09.034

Cited by 13 publications

(2 citation statements)

References 23 publications

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“…(21) may now be solved numerically by approximating its various derivatives by finite difference formulas as well as by approximating the integral on the right-hand-side. Much of the details of the numerical method can be obtained from [14] and [15]. Here, we discuss some details that are specific to the solution of the EPRT in a non-orthogonal coordinate system.…”

Section: Application To Steady-state Heat Transport In Micro-scale Smentioning

confidence: 99%

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Computational Aspects of Radiative Transfer Equation in Non-Orthogonal Coordinates

Mansoor

2019

Journal of Thermal Engineering

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Non-equilibrium energy transfer takes place for thin films when thermal disturbance is introduced. In this case, phonon transport inside the film governs the heat transport and temperature distribution in the film. In the present study an attempt is made to formulate and illustrate the phonon transfer in micro-scale silicon film of various shapes incorporating the non-orthogonal coordinate system. Successful application of the discreteordinates method to the solution of the equation for phonon radiative transport in non-orthogonal coordinates requires the application of various numerical techniques connected to the finite-difference method. The numerical solution of the equation for phonon transfer in non-orthogonal coordinate is introduced via adapting the discrete ordinate method. Phonon intensity distribution in the thin film is presented in terms of equivalent equilibrium temperature. It is found that film shape has significant effect on equivalent equilibrium temperature distribution inside the film. The validation study demonstrates that the code developed solving the equation for phonon transport is also applicable to the phonon transport in non-orthogonal coordinate system.

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Section: Application To Steady-state Heat Transport In Micro-scale Smentioning

confidence: 99%

“…Building on the work of previous researchers, Freimanis [13] finally extended the radiative transfer equation to be applicable in any orthogonal or non-orthogonal coordinate system. Mansoor and Yilbas [14,15] employed this generalized RTE to the solution of phonon radiative transfer involving orthogonal coordinates.…”

Section: Introductionmentioning

confidence: 99%