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首页> 外文期刊>European Journal of Mechanics, B. Fluids >The influence of sweep on the linear stability of a series of swept laminar separation bubbles
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The influence of sweep on the linear stability of a series of swept laminar separation bubbles

机译：扫描对一系列扫描层流分离气泡的线性稳定性的影响

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摘要

The effect of sweep on the linear stability of a series of pressure-induced laminar separation bubbles is investigated for a range of sweep angles W = 0°, 15°, 30°, 45° by means of linear stability theory and solutions of the linear parabolised stability equations. An application of the independence principle for infinite swept configurations ensures identical chordwise cross sections of the separation bubbles in the DNS-base flows, which enables direct comparisons. Systematic investigations of the local stability and the properties of the linearly most amplified disturbances for each sweep angle show that Tollmien-Schlichting waves, not cross-flow instabilities, dominate even for higher sweep angles. Similar to the situation in attached boundary layers oblique Tollmien-Schlichting waves, which propagate approximately in free stream direction, experience the strongest linear growth in the swept cases. Compared to the strong growth in the separated shear layer, however, their maximum amplification increases only moderately with the sweep angle. The general influence of cross-flow instabilities is weak in the given configuration, despite a relevant cross-flow inside the separation bubble. Finally, the investigation yielded that the comprehensive influence of the independence principle on the base flow is not extendible to the linear stability equations, so that with respect to disturbance amplification in general each sweep angle constitutes a unique case.
机译：利用线性稳定性理论和线性解，研究了扫掠对一系列扫压层流分离气泡的线性稳定性的影响，扫掠角度范围为W = 0°，15°，30°，45°代谢稳定性方程。独立原理在无限扫掠配置中的应用可确保DNS基流中分离气泡的弦向横截面相同，从而可以进行直接比较。对每个扫描角的局部稳定性和线性最大放大干扰的特性的系统研究表明，即使对于较大的扫描角，Tollmien-Schlichting波（而不是横流不稳定性）也占主导地位。与附着边界层的情况类似，倾斜的Tollmien-Schlichting波大约在自由流方向上传播，在扫掠情况下经历了最强的线性增长。但是，与分离的剪切层中的强劲增长相比，它们的最大放大率仅随扫描角的增加而适度增加。尽管分离气泡内部存在相关的交叉流，但是在给定的配置中，交叉流不稳定性的总体影响微弱。最后，研究得出，独立性原理对基流的综合影响无法扩展到线性稳定性方程，因此，就扰动放大而言，一般而言，每个扫掠角都是一个特例。

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