Universality of probability density distributions in the overlap region in high Reynolds number turbulent boundary layers
Universality of probability density distributions in the overlap region in high Reynolds number turbulent boundary layers
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DOI：
10.1063/1.1738416
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发表时间：
2004-06
影响因子：
4.6
通讯作者：
B. Lindgren;A. Johansson;Y. Tsuji
中科院分区：
文献类型：
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作者：
B. Lindgren;A. Johansson;Y. Tsuji
本文研究了高雷诺数湍流边界层中流向平均速度的概率密度函数。自相似的假设，归一化的均方根速度，PDF已被测试使用KTH数据库的高雷诺数零压力梯度湍流边界层流动。利用Kullback-Leibler发散度对自相似性进行了检验，发现自相似PDF的区域从约160个粘性壁单元延伸到约0.3个边界层厚度（δ95）。该区域比通用重叠区域稍大。通用重叠区域中的PDF形状接近高斯，允许测量的PDF的Gram-Charlier展开近似。发现普遍重叠区域内不同位置的57个标准化PDF分布和基于动量损失厚度在4300和12 600之间的雷诺数出现显着崩溃，强烈表明高度的..
The probability density functions (PDFs) of the streamwise mean velocity in high Reynolds number turbulent boundary layers have been studied. The hypothesis of self-similar, normalized with the root mean square velocity, PDFs has been tested using the KTH database of high Reynolds number zero pressure-gradient turbulent boundary layer flow. The self-similarity was tested using the Kullback–Leibler divergence measure and it was found that the region of self-similar PDFs extends from about 160 viscous wall units to about 0.3 boundary layer thicknesses (in δ95). This region is somewhat larger than the universal overlap region. The PDF shape in the universal overlap region is close to Gaussian allowing for a Gram–Charlier expansion approximation of the measured PDFs. A remarkable collapse was found for 57 normalized PDF distributions for different positions within the universal overlap region and Reynolds numbers based on the momentum-loss thickness between 4300 and 12 600, strongly indicating a high degree o...