Abstract Heat transfer modeling plays a major role in design and optimization of modern and efficient thermal-fluid systems. However, currently available models suffer from a fundamental shortcoming: their development is based on the general notion that accurate prediction of the flow field will guarantee an appropriate prediction of the thermal field, known as the Reynolds Analogy. This investigation presents a comprehensive assessment of the capability of the Reynolds Analogy in predicting turbulent heat transfer when applied to turbulent shear flows of fluids with different Prandtl numbers. It turns out that the Reynolds Analogy is able to provide acceptable results for first order statistics only when fluids with Prandtl number close to unity are considered. Further, it is shown that unsteady simulations could provide acceptable results on second order statistics concerning fluids with different Prandtl numbers, if appropriate grid design/resolution is provided that allows to resolve essential dynamics of the thermal field. However, accurate prediction of higher order statistics close to solid surface requires more advanced heat transfer models that can provide accurate information on thermal time scales, in case the grid is too coarse to support accurate resolving of the essential thermal dynamics in these regions.

中文翻译：

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雷诺类比在预测湍流壁面剪切流中的传热方面的综合评估

摘要 传热建模在现代高效热流体系统的设计和优化中起着重要作用。然而，目前可用的模型存在一个根本性的缺点：它们的发展基于这样一个普遍的概念，即流场的准确预测将保证对热场的适当预测，称为雷诺类比。本研究对雷诺类比在应用于具有不同普朗特数的流体的湍流剪切流时预测湍流传热的能力进行了综合评估。事实证明，只有在考虑 Prandtl 数接近于 1 的流体时，雷诺类比才能为一阶统计提供可接受的结果。更多，结果表明，如果提供适当的网格设计/分辨率以解决热场的基本动力学问题，则非定常模拟可以提供关于具有不同 Prandtl 数的流体的二阶统计量的可接受结果。然而，接近固体表面的高阶统计数据的准确预测需要更先进的传热模型，这些模型可以提供关于热时间尺度的准确信息，以防网格太粗糙而无法支持这些区域中基本热动力学的准确解析。