ABSTRACT Transpired boundary layers are of major interest for many industrial applications. Although well described, there is no turbulence model specifically dedicated to the prediction of boundary layers for both blowing and suction configurations. Revisiting closure relations of turbulence models, a general strategy was established to recover Stevenson's law of the wall that described the behaviour of transpired boundary layers in the wall region. The methodology is applied to the SST turbulence model and compared to Wilcox's correction, only applicable to blowing cases. A version of the proposed correction, more suited to RANS solvers, was also derived. Several experimental boundary layer configurations with blowing or suction were computed using both versions of the correction. The good agreements observed on all cases prove the relevance and the efficiency of the present strategy. Abbreviations: l: mixing length; u: longitudinal velocity component; v: wall-normalvelocity component; : longitudinal velocity fluctuation; : wall-normal velocityfluctuation; x: longitudinal direction; y: wall-normal direction; k: turbulent kineticenergy; ω: specific dissipation; : displacement thickness; τ: shear stress; ρ: density; ν: kinematic viscosity; : eddy viscosity; μ: dynamic viscosity; κ: Kàrmàn constant; :superscript for dimensionless wall quantities; : subscript for quantities at the wall; :Reynolds average

中文翻译：

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蒸腾湍流边界层：RANS 湍流模型的一般策略

摘要 蒸腾边界层是许多工业应用的主要关注点。尽管描述得很好，但没有专门用于预测吹气和吸入配置的边界层的湍流模型。重新审视湍流模型的闭合关系，建立了一个通用策略来恢复描述壁区域中蒸发边界层行为的史蒂文森壁定律。该方法适用于 SST 湍流模型，并与 Wilcox 校正进行比较，仅适用于吹气情况。还推导出了更适合 RANS 求解器的建议修正版本。使用两种版本的修正计算了几个带有吹气或吸力的实验边界层配置。在所有案例中观察到的良好协议证明了当前战略的相关性和效率。缩写： l：混合长度；u：纵向速度分量；v：壁面法向速度分量；：纵向速度波动；: 壁面法向速度波动；x：纵向；y：壁法向；k：湍流动能；ω：比耗散；：位移厚度；τ：剪应力；ρ：密度；ν：运动粘度；：涡流粘度；μ：动态粘度；κ：Kàrmàn 常数；:无量纲墙数量的上标；: 墙上数量的下标；:雷诺平均 纵向；y：壁法向；k：湍流动能；ω：比耗散；：位移厚度；τ：剪应力；ρ：密度；ν：运动粘度；：涡流粘度；μ：动态粘度；κ：Kàrmàn 常数；:无量纲墙数量的上标；: 墙上数量的下标；:雷诺平均 纵向；y：壁法向；k：湍流动能；ω：比耗散；：位移厚度；τ：剪应力；ρ：密度；ν：运动粘度；：涡流粘度；μ：动态粘度；κ：Kàrmàn 常数；:无量纲墙数量的上标；: 墙上数量的下标；:雷诺平均