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Statistical characteristics of the tilts of the aero-optical aberration caused by the supersonic turbulent boundary layer

机译：超音速湍流边界层引起的航空像差倾斜度的统计特征

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摘要

The tilt of the aero-optical aberration caused by the supersonic turbulent boundary layer is obtained by analyzing the center wandering of the far-field optical pattern, and its characteristics are examined from the viewpoint of statistics. When the diameter of the beam propagating through the flow is small compared with the boundary layer thickness, the probability density function (PDF) of the tilt coefficient is centered and can be approximated with a Gaussian distribution. For a larger beam diameter, the PDF of the tilt in the spanwise direction can still be regarded as centered and Gaussian, but the tilt in the streamwise direction clearly deviates from a Gaussian distribution. The correlation of the tilts in the two directions is investigated by computing the correlation coefficient, and the results indicate that the correlation is negative and strong for a small beam diameter and becomes positive and weak for a large beam diameter. These characteristics are explained by the hairpin vortex structures in the boundary layer, which prevail and meander for a very long distance streamwise.
机译：通过分析远场光学图案的中心漂移，获得由超声速湍流边界层引起的航空像差的倾斜，并从统计学的角度研究其特性。当通过流传播的光束的直径小于边界层厚度时，倾斜系数的概率密度函数（PDF）居中，并可以用高斯分布近似。对于较大的光束直径，仍可以将翼展方向上的倾斜度的PDF视为居中和高斯，但流向方向上的倾斜度明显偏离高斯分布。通过计算相关系数研究了两个方向上的倾斜度的相关性，结果表明，对于较小的光束直径，相关性为负且强，而对于较大的光束直径，相关性为正而弱。这些特征由边界层中的发夹形涡旋结构解释，该结构在流向很长的距离上占优势并蜿蜒曲折。

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