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arXiv 2008.09756physics.flu-dyn
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在刺耳的射流中的波浪

Waves in screeching jets

Daniel Edgington-Mitchell, Tianye Wang, Petronio Nogueira, Oliver Schmidt, Vincent Jaunet, Daniel Duke, Peter Jordan, Aaron Towne

摘要:

通过实验测量和线性稳定性理论,考虑了尖叫射流中各种波动结构之间的相互作用。通过适当的正交分解,尖叫射流的速度快照用于产生尖叫循环的降阶模型。然后应用流向傅立叶滤波来隔离负波数分量和正波数分量,对于该射流中感兴趣的波,负波数分量和正波数分量对应于上游和下游行波。实验得出的基流进行了全局稳定性分析,表现出密切的匹配,通过实验获得的结果,表明这里考虑的机制是很好地表示在一个线性框架。在这两种分析中,三种不同的波浪状结构是明显的。这三种波是Tam & Hu(1989)首次提出的由圆柱涡面支持的波。一个是开尔文-亥姆霍兹模式。另一个是上游引导射流模式,这是最近讨论的一个话题。第三个组成部分,与正相速度,以前没有被确定在尖叫射流。我们提供的证据表明,这种下游行波是一种类似管道的模式,类似于Towne等人(2017)最近在高亚音速射流中发现的模式。根据Tam & Tanna(1982)首次提出的理论,我们进一步证明了后两种波都是由Kelvin-Helmholtz波包与流动中的激波单元相互作用产生的。最后,我们认为周期性的空间调制的相干速度波动明显尖叫射流,并表明,这种调制是三个波状结构的叠加的结果,没有证据表明,在流中的冲击调制的开尔文-亥姆霍兹波包的增长。

英文摘要:

The interaction between various wavelike structures in screeching jets is considered via both experimental measurements and linear stability theory. Velocity snapshots of screeching jets are used to produce a reduced order model of the screech cycle via proper orthogonal decomposition. Streamwise Fourier filtering is then applied to isolate the negative and positive wavenumber components, which for the waves of interest in this jet correspond to upstream and downstream-travelling waves. A global stability analysis on an experimentally derived base flow is conducted, demonstrating a close match to the results obtained via experiment, indicating that the mechanisms considered here are well represented in a linear framework. In both analyses, three distinct wavelike structures are evident. These three waves are those first shown by Tam & Hu (1989) to be supported by a cylindrical vortex sheet. One is the Kelvin-Helmholtz mode. Another is the upstream-travelling guided jet mode that has been a topic of recent discussion. The third component, with positive phase velocity, has not previously been identified in screeching jets. We provide evidence that this downstream-travelling wave is a duct-like mode similar to that recently identified in high-subsonic jets by Towne et al. (2017). We further demonstrate that both of the latter two waves are generated by the interaction between the Kelvin-Helmholtz wavepacket and the shock cells in the flow, according to a theory first proposed in Tam & Tanna (1982). Finally, we consider the periodic spatial modulation of the coherent velocity fluctuation evident in screeching jets, and show that this modulation is the result of the superposition of the three wavelike structures, with no evidence that the shocks in the flow modulate the growth of the Kelvin-Helmholtz wavepacket.

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