湍流内部流动的平均温度曲线

IF 2.6 3区工程技术 Q2 ENGINEERING, MECHANICAL

International Journal of Heat and Fluid Flow Pub Date : 2024-08-27 DOI:10.1016/j.ijheatfluidflow.2024.109544

Sergio Pirozzoli , Davide Modesti

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引用次数: 0

摘要

我们推导出了强迫湍流对流中温度（模拟为被动标量）平均剖面的明确公式，它是雷诺数和普朗特数的函数。推导利用了观察到的内层热涡度扩散率在雷诺数和普朗特数变化以及不同流体中的普遍性，以及核心流中被动标量缺陷的普遍性。内层和外层表达式的匹配产生了平滑的复合平均温度曲线。我们发现，在各种热强迫条件下，在很大的雷诺数和普朗特数范围内，分析曲线与管道和通道流的直接数值模拟数据非常吻合。

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Mean temperature profiles in turbulent internal flows

We derive explicit formulas for the mean profiles of temperature (modeled as a passive scalar) in forced turbulent convection, as a function of the Reynolds and Prandtl numbers. The derivation leverages on the observed universality of the inner-layer thermal eddy diffusivity with respect to Reynolds and Prandtl number variations and across different flows, and on universality of the passive scalar defect in the core flow. Matching of the inner- and outer-layer expression yields a smooth compound mean temperature profile. We find excellent agreement of the analytical profile with data from direct numerical simulations of pipe and channel flows under various thermal forcing conditions, and over a wide range of Reynolds and Prandtl numbers.

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来源期刊

International Journal of Heat and Fluid Flow 工程技术-工程：机械

CiteScore

5.00

自引率

7.70%

发文量

131

审稿时长

33 days

期刊介绍： The International Journal of Heat and Fluid Flow welcomes high-quality original contributions on experimental, computational, and physical aspects of convective heat transfer and fluid dynamics relevant to engineering or the environment, including multiphase and microscale flows. Papers reporting the application of these disciplines to design and development, with emphasis on new technological fields, are also welcomed. Some of these new fields include microscale electronic and mechanical systems; medical and biological systems; and thermal and flow control in both the internal and external environment.