Abstract The present work extends a recently proposed P-function based model for describing the near-wall variation of temperature in forced convective turbulent flow to the case with temperature-dependent material properties. The extension essentially modifies the model formulations for describing the local variation of the turbulent mixing length and the turbulent Prandtl number. Direct Numerical Simulations (DNS) and experimental measurements are carried to provide comprehensive validation data for a wide range of Reynolds numbers, considering molecular Prandtl numbers well beyond unity. The observed good agreement of the predictions with the DNS data and experiments proves the present extended model as a well-suited approach for prescribing reliable thermal boundary conditions in Reynolds Averaged Navier-Stokes (RANS) simulations, assuming temperature-dependent material properties.

中文翻译：

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用于 RANS 的具有温度相关材料属性的热壁边界条件建模

摘要 目前的工作扩展了最近提出的基于 P 函数的模型，用于描述强制对流湍流中温度的近壁变化到具有温度相关材料特性的情况。该扩展实质上修改了用于描述湍流混合长度和湍流 Prandtl 数的局部变化的模型公式。考虑到远远超出统一的分子普朗特数，进行了直接数值模拟 (DNS) 和实验测量，以为各种雷诺数提供全面的验证数据。观察到的预测与 DNS 数据和实验的良好一致性证明了本扩展模型是一种非常适合在雷诺平均纳维 - 斯托克斯 (RANS) 模拟中规定可靠热边界条件的方法，