ABSTRACT In-flight ice accretion code predictions depend on heat loss over rough surfaces. The equivalent sand grain roughness models the friction coefficient, but an additional model is needed for heat transfer predictions. In this paper, a two parameters model based on a turbulent Prandtl number correction is derived from the sublayer Stanton-based model. For flow over rough surfaces, the new model predictions will be compared to a three parameters model from the literature. First, the models are coupled with the Spalart–Allmaras turbulence model to predict heat transfers over rough surfaces. Thereafter, the two models are implemented in the open-source software, SU2, and then verified and validated for flow over rough flat plates. Lastly, the predictions of the two models are shown to be similar for ice accretion roughness on flat plates, aerofoils and a wing. Model discrepancies are always within the experimental 15% error margin.

中文翻译：

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用于粗糙表面 Stanton 评估的湍流 Prandtl 数校正模型的比较

摘要 飞行中积冰代码预测取决于粗糙表面的热损失。等效砂粒粗糙度模拟摩擦系数，但需要额外的模型来预测传热。在本文中，基于湍流普朗特数校正的双参数模型是从基于 Stanton 的子层模型推导出来的。对于粗糙表面上的流动，新模型预测将与文献中的三参数模型进行比较。首先，这些模型与 Spalart-Allmaras 湍流模型相结合，以预测粗糙表面上的热传递。此后，这两个模型在开源软件 SU2 中实现，然后验证和验证粗糙平板上的流动。最后，两个模型的预测对于平板上的积冰粗糙度相似，机翼和机翼。模型差异始终在 15% 的实验误差范围内。