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激波/湍流边界层干扰物面剪切应力统计特性
Statistical characteristics of wall shear stress in shock wave and turbulent boundary layer interactions

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童福林 1,2   周桂宇 1   周浩 3   张培红 1 *   李新亮 2,3  
文摘 为了揭示激波/湍流边界层干扰区内物面剪切应力统计特性的演化规律,采用直接数值模拟方法对来流马赫数2.9、12°激波角的入射激波与平板湍流边界层相互作用问题进行了研究。通过与风洞试验数据的比较分析,验证了计算结果的可靠性。系统地探究了干扰区内物面剪切应力的典型特征,如预乘谱、概率密度分布和相干结构等。研究结果表明,分离激波的低频振荡运动对流向及展向分量的预乘谱均没有实质影响,其脉动仍以高频特征为主,低频能量变化较小。干扰区内流向剪切应力概率密度函数分布变化剧烈,分离泡内对数正态分布规律不再适用,而展向剪切应力在干扰区内与正态分布较为接近。相较于上游湍流边界层,分离泡内物面剪切应力矢量夹角与幅值的联合概率密度变化显著,峰值概率降低,峰值范围增大。此外,流向剪切应力脉动场的本征正交分解分析指出,主能量模态与分离激波的低频振荡以及下游再附边界层内的Gortler-like流向涡结构密切相关。
其他语种文摘 To reveal the evolution of wall shear stress characteristics in the interaction region, direct numerical simulation of a reflected shock wave and turbulent boundary layer interaction for the incident shock of 12° at Mach number 2.9 is performed. The accuracy of numerical results has been validated against the experimental data and previous direct numerical simulations under matching conditions. The statistical characteristics of wall shear stress, including pre-multiplied power spectral density, probability density function and coherent structures have been analyzed in detail. Results indicate that the low-frequency motions of separated shock wave have no substantial influence on the power spectrum of streamwise and spanwise components of wall shear stress vector. The fluctuations are dominated by high-frequency content and the low-frequency energy exhibits little change. The distribution of probability density functions of streamwise wall shear stress varies dramatically through the interaction region and the law of logarithmic normal distribution is not applicable to the separation bubble, but the distribution of spanwise component is approximately of normal distribution throughout the interaction region. Compared with the upstream undisturbed turbulent boundary layer, the joint probability density function between the angle and magnitude of wall shear stress vector is significantly changed in the separation bubble, with the peak of probability decreasing and the range of maximum values increasing. The proper orthogonal decomposition analysis of the fluctuating streamwise shear stress indicates that the dominant modes are closely associated with the low-frequency oscillations of the separated shock wave and the Gortler-like streamwise vortex structures in the reattachment boundary layer downstream.
来源 航空学报 ,2019,40(5):122504 【核心库】
DOI 10.7527/S1000-6893.2018.22504
关键词 激波/湍流边界层干扰 ; 物面剪切应力 ; 预乘谱 ; 概率密度函数 ; 本征正交分解
地址

1. 中国空气动力研究与发展中心计算空气动力研究所, 绵阳, 621000  

2. 中国科学院力学研究所, 中国科学院高温气体动力学重点实验室, 北京, 100190  

3. 中国科学院大学工程科学学院, 北京, 100049

语种 中文
文献类型 研究性论文
ISSN 1000-6893
学科 数学;航空
基金 国家自然科学基金 ;  国家重点研发计划
文献收藏号 CSCD:6495607

参考文献 共 33 共2页

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引证文献 6

1 童福林 超声速膨胀角入射激波/湍流边界层干扰直接数值模拟 航空学报,2020,41(3):123328
CSCD被引 10

2 童福林 膨胀效应对激波/湍流边界层干扰的影响 航空学报,2020,41(9):123731
CSCD被引 4

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