尖肋诱导Shock Wave边界层干扰中的初始分离
Incipient Separation in Shock Wave Boundary Layer Interactions as Induced by Sharp Fin
摘要：
本文研究了激波-湍流边界层相互作用在尖鳍处引起的初始分离。现有的起动分离预测理论，如McCabe（1966）和Dou和Deng（1992）所提出的理论，迄今为止只能预测表面流线的方向，而倾向于根据Stanbrook准则对起动分离条件作过高的预测。本文首先用Dou和Deng（1992）的理论对起动分离进行了预测，然后与Lu和Settles（1990）的试验数据进行了比较。通过表面流态分析，解释了激波/湍流边界层相互作用在尖翼处引起初始分离的物理机制。此外，所观察到的预测和实验初始分离条件之间的差异的原因进行了澄清。结果表明，当激波后的壁面极限流线随激波强度的增加而与虚原点的一条射线成直线时，在壁面极限流线垂直于局部压力梯度的位置处形成了初始分离线。这种初始分离线的形成是分离过程的开始。文中还讨论了雷诺数和马赫数对起动分离的影响。最后，还给出了理论预测的起动分离角修正关系式。
英文摘要：
The incipient separation induced by the shock wave turbulent boundary layer interaction at the sharp fin is the subject of present study. Existing theories for the prediction of incipient separation, such as those put forward by McCabe (1966) and Dou and Deng (1992), can have thus far only predicting the direction of surface streamline and tend to over-predict the incipient separation condition based on the Stanbrook's criterion. In this paper, the incipient separation is firstly predicted with Dou and Deng (1992)'s theory and then compared with Lu and Settles (1990)' experimental data. The physical mechanism of the incipient separation as induced by the shock wave/turbulent boundary layer interactions at sharp fin is explained via the surface flow pattern analysis. Furthermore, the reason for the observed discrepancy between the predicted and experimental incipient separation conditions is clarified. It is found that when the wall limiting streamlines behind the shock wave becomes\ aligning with one ray from the virtual origin as the strength of shock wave increases, the incipient separation line is formed at which the wall limiting streamline becomes perpendicular to the local pressure gradient. The formation of this incipient separation line is the beginning of the separation process. The effects of Reynolds number and the Mach number on incipient separation are also discussed. Finally, a correlation for the correction of the incipient separation angle as predicted by the theory is also given.
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