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首页> 外文期刊>Heat Transfer Engineering >Near-Wall Determination of the Turbulent Prandtl Number Based on Experiments, Numerical Simulation and Analytical Models
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Near-Wall Determination of the Turbulent Prandtl Number Based on Experiments, Numerical Simulation and Analytical Models

机译：基于实验，数值模拟和分析模型的近壁确定湍流普朗特数

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摘要

The Reynolds-averaged computation of turbulent flow with heat transfer most commonly models the turbulent heat flux as directly related to the turbulent flux of momentum through the turbulent Prandtl number. Its significant deviation from a uniform bulk flow value for high molecular Prandtl numbers needs to be adequately described to predict accurately the heat transfer. The present study derives a model for the near-wall variation of this important parameter, used as input into an analytical solution of heated turbulent pipe flow. The basic functional form of the profile of the turbulent Prandtl number is determined from direct numerical simulations (DNS), and experimental data are used for model calibration. The analytically predicted Nusselt numbers agree very well with experimental measurements, proving the reliability of the proposed model for the turbulent Prandtl number also for Reynolds numbers well beyond the scope of DNS. The validation against experiments further highlights the significant effect of the temperature-dependent material properties of the considered high Prandtl number liquids. Numerical simulations often discard this aspect to reduce the computational effort. The present combination of DNS, analytical solution, and experiments appears as a convenient approach for modeling turbulent key quantities such as the turbulent Prandtl number, which is well applicable to other convective flow conditions and Prandtl number regimes, as well.
机译：随着传热的湍流的雷诺平均计算大多数通常模拟湍流热通量，直接与动量通过动量的动量通过湍流普朗特数量相关。它需要充分描述与高分子普朗特数量的均匀体流量值的显着偏差，以准确地预测热传递。本研究推出了该重要参数的近壁变化的模型，用作加热湍流管流的分析解。从直接数值模拟（DNS）确定湍流Prandtl号的轮廓的基本功能形式，实验数据用于模型校准。分析预测的营养数字与实验测量非常完全一致，证明了湍流普朗特数的提出模型的可靠性，也适用于雷诺数超出DNS范围的雷诺数。防止实验的验证进一步突出了所考虑的高prandtl数液体的温度依赖性材料特性的显着效果。数值模拟通常丢弃该方面以减少计算工作。 DNS，分析解决方案和实验的目前组合是一种方便的方法，用于建模湍流钥匙数量，例如湍流普朗特数，这也很好地适用于其他对流流动条件和Prandtl号码制度。

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  • 来源
    《Heat Transfer Engineering》 |2020年第18期|1341-1353|共13页
  • 作者

    Helfried Steiner; Christoph Irrenfried; Guenter Brenn;

  • 作者单位

    Institute of Fluid Mechanics and Heat Transfer Graz University of Technology Graz Austria;

    Institute of Fluid Mechanics and Heat Transfer Graz University of Technology Graz Austria;

    Institute of Fluid Mechanics and Heat Transfer Graz University of Technology Graz Austria;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
  • 原文格式 PDF
  • 正文语种 eng
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