Analysis and Modelling of Turbulence Anisotropy of a Swirled Hot Streak Flow

Christopher Wingel, Nicolas Binder, Yannick Bousquet, J. Boussuge, N. Buffaz, Sébastien Le Guyader
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Abstract

This study is carried out in the context of hot streak flows in high-pressure turbines, for which a correct prediction of the temperature evolution is required. The present work particularly focuses on the turbulence anisotropy analysis of a swirled hot streak flow in a bent channel representative of a NGV passage of a high-pressure turbine. LES are conducted with the in-house solver IC3 in order to measure and characterise the anisotropy of turbulence. Moreover, to evaluate turbulence modelling, steady simulations of the bent channel are performed with the ELSA software, which solves the RANS equations. LES is firstly used to complete a TKE budget that enables to understand the energetic transfers associated with turbulence. This budget reveals two distinct zones where turbulence activity is impacted when the curvature is reached. The analysis of the anisotropy of turbulence based on two metrics highlights a misalignment of the Reynolds stress tensor and the mean strain-rate tensor (Schmitt's criterion), and a strong anisotropy developing inside the bent duct (Lumley's analysis) that may cause the failure of the classical RANS turbulence models based on Boussinesq's hypothesis. To check this hypothesis, RANS is positioned against LES with different turbulence models that accounts or not for the anisotropy of turbulence. Both turbulence activity (TKE budgets, Lumley's analysis) and aerothermal fields (radial distributions) are compared. Results show that EARSM models enable to better account for the anisotropy of turbulence, which in turn promote a better prediction of temperature, both in terms of intensity and trajectory.
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漩涡热流的湍流各向异性分析与建模
这项研究是在高压涡轮机中热条纹流的背景下进行的,为此需要对温度演变进行正确预测。本研究特别关注高压涡轮机 NGV 通道弯曲通道中漩涡热条纹流的湍流各向异性分析。为了测量和描述湍流各向异性,使用内部求解器 IC3 进行了 LES 分析。此外,为了评估湍流建模,还使用 ELSA 软件对弯曲通道进行了稳定模拟,该软件可求解 RANS 方程。LES 首先用于完成 TKE 预算,以了解与湍流相关的能量传递。该预算显示,在达到曲率时,湍流活动会受到两个不同区域的影响。基于两个指标对湍流各向异性的分析突出显示了雷诺应力张量和平均应变率张量的错位(施密特准则),以及弯曲管道内部形成的强烈各向异性(卢姆利分析),这可能会导致基于布森斯克假设的经典 RANS 湍流模型失效。为了验证这一假设,采用不同的湍流模型将 RANS 模型与 LES 模型进行了对比,以确定是否考虑了湍流的各向异性。对湍流活动(TKE 预算、Lumley 分析)和气热场(径向分布)进行了比较。结果表明,EARSM 模型能够更好地考虑湍流的各向异性,从而在强度和轨迹方面更好地预测温度。
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