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首页> 外文期刊>Journal of Heat Transfer >Continuum and Kinetic Simulations of Heat Transfer Trough Rarefied Gas in Annular and Planar Geometries in the Slip Regime
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Continuum and Kinetic Simulations of Heat Transfer Trough Rarefied Gas in Annular and Planar Geometries in the Slip Regime

机译：滑动状态下角和平面几何形状中稀有气体传热的连续和动力学模拟

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摘要

Steady-state heat transfer through a rarefied gas confined between parallel plates or coaxial cylinders, whose surfaces are maintained at different temperatures, is investigated using the nonlinear Shakhov (S) model kinetic equation and Direct Simulation Monte Carlo (DSMC) technique in the slip regime. The profiles of heat flux and temperature are reported for different values of gas rarefaction parameter δ, ratios of hotter to cooler surface temperatures T, and inner to outer radii ratio R. The results of S-model kinetic equation and DSMC technique are compared to the numerical and analytical solutions of the Fourier equation subjected to the Lin and Willis temperature-jump boundary condition. The analytical expressions are derived for temperature and heat flux for both geometries with hotter and colder surfaces having different values of the thermal accommodation coefficient. The results of the comparison between the kinetic and continuum approaches showed that the Lin and Willis temperature-jump model accurately predicts heat flux and temperature profiles for small temperature ratio T = 1.1 and large radius ratios R ≥0.5; however, for large temperature ratio, a pronounced disagreement is observed.
机译：通过在滑移状态下使用非线性Shakhov（S）模型动力学方程和直接模拟Monte Carlo（DSMC）技术研究了通过限制在平行板或同轴圆柱体之间的稀有气体的稳态传热，这些稀薄气体的表面保持在不同温度下。报告了气体稀疏参数δ的不同值，较冷表面温度T与较冷表面温度T的比以及内外半径比R的热通量和温度曲线。将S模型动力学方程和DSMC技术的结果与Lin和Willis温度跳跃边界条件下傅里叶方程的数值和解析解。推导了具有更热和更冷表面的几何形状的温度和热通量的解析表达式，这些几何形状具有不同的热调节系数值。动力学方法和连续方法的比较结果表明，Lin和Willis温度跳跃模型可准确预测小温度比T = 1.1和大半径比R≥0.5时的热通量和温度曲线。然而，对于大的温度比，观察到明显的分歧。

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  • 来源
    《Journal of Heat Transfer》 |2017年第4期|042002.1-042002.8|共8页
  • 作者

    Mustafa Hadj-Nacer; Dilesh Maharjan; Minh-Tuan Ho; Stefan K. Stefanov; Irina Graur; Miles Greiner;

  • 作者单位

    Mechanical Engineering Department, University of Nevada, Reno, Reno, NV 89557;

    Mechanical Engineering Department, University of Nevada, Reno, Reno, NV 89557;

    Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow G1 1XJ 5, UK;

    Institute of Mechanics, Bulgarian Academy of Science, Sofia 1113, Bulgaria;

    Aix Marseille Universite, CNRS, IUSTI UMR 7343, 13453, Marseille, France;

    Mechanical Engineering Department, University of Nevada, Reno, Reno, NV 89557;

  • 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
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