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首页> 外文期刊>International Journal of Heat and Mass Transfer >Finite element analysis of transient ballistic-diffusive phonon heat transport in two-dimensional domains
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Finite element analysis of transient ballistic-diffusive phonon heat transport in two-dimensional domains

机译：二维域内瞬态弹道扩散声子传热的有限元分析

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摘要

While sub-continuum heat conduction becomes more important as the size of microanodevices keeps shrinking under the mean free path of heat carriers, its computation still remains challenging to the general engineering community due to the lack of easily accessible numerical simulation tools. To address this challenge, this article reports the finite element analysis (FEA) of transient ballistic-diffusive phonon heat transport in a two-dimensional domain using a commercial package (COMSOL Multiphysics). The Boltzmann transport equation under the gray relaxation-time approximation was numerically solved by discretizing the angular domain with the discrete ordinate method (DOM) and the spatial domain with the FEA. The DOM-FEA method was validated by comparing the results with different benchmark studies, such as the equation of phonon radiative transfer, the ballistic-diffusive equation, and the finite difference method of the phonon Boltzmann transport equation. The calculation of phonon heat transport for a 2-D square slab reveals that heat conduction becomes more ballistic with temperature jumps at boundaries as Knudsen number (Kn) increases. The ballistic nature also significantly affects transient thermal behaviors at high Kn numbers. The obtained results clearly demonstrate the capability of the DOM-FEA as a promising engineering tool for calculating sub-continuum phonon heat transport.
机译：尽管随着微型/纳米器件的尺寸在热载体的平均自由程下不断缩小，次连续热传导变得越来越重要，但由于缺乏易于访问的数值模拟工具，其计算仍然对一般工程界构成挑战。为了解决这一挑战，本文报告了使用商业软件包（COMSOL Multiphysics）在二维域中进行瞬态弹道扩散声子传热的有限元分析（FEA）。通过使用离散纵坐标法（DOM）离散角域和使用FEA离散空间域，数值求解了灰色弛豫时间近似下的玻尔兹曼输运方程。通过将结果与不同的基准研究（例如声子辐射传递方程，弹道扩散方程和声子玻耳兹曼输运方程的有限差分方法）进行比较，验证了DOM-FEA方法的有效性。二维正方形平板的声子传热计算表明，随着Knudsen数（Kn）的增加，边界处的温度跃变会使热传导变得更加弹道。弹道性质还显着影响高Kn数下的瞬态热行为。获得的结果清楚地证明了DOM-FEA作为计算次连续声子热传递的有前途的工程工具的能力。

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  • 作者

    Sina Hamian; Toru Yamada; Mohammad Faghri; Keunhan Park;

  • 作者单位

    Department of Mechanical Engineering, University of Utah, 50 S. Central Campus , Salt Lake City, UT 84112, United States;

    Department of Energy Sciences, Division of Heat Transfer, Lund University, P.O. Box 118, SE-221 00 Lund, Sweden;

    Department of Mechanical, Industrial and Systems Engineering, University of Rhode Island, 92 Upper College Rd, Kingston, RI 02881, United States;

    Department of Mechanical Engineering, University of Utah, 50 S. Central Campus , Salt Lake City, UT 84112, United States;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Phonon; Sub-continuum heat conduction; Boltzmann transport equation; Finite element analysis;

    机译：声子次连续热传导;玻尔兹曼输运方程有限元分析;

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