论文标题

湍流喷气机中的喷嘴动力和波袋

Nozzle dynamics and wavepackets in turbulent jets

论文作者

Kaplan, Oğuzhan, Jordan, Peter, Cavalieri, André, Brès, Guillaume A.

论文摘要

我们研究了从圆柱喷嘴发出的湍流喷射,以表征在湍流边界层中演变的相干结构。使用来自Mach 0.4射流的大涡模拟的数据进行分析。喷嘴中速度场的方位角分解表明,湍流动能主要驻留在高方位角波数中。对声音发电很重要的前三个方位角波数幅度较低但非零的幅度。使用两点统计,显示喷嘴边界层中的低方位角模式显示出与自由喷射区域中相同顺序的显着相关性。光谱正确的正交分解(SPOD)用于提炼流动动力学的低级别近似值。这揭示了喷嘴边界层中倾斜的相干结构的存在,并表明这些结构与射流中的波袋结合在一起。受过教育的喷嘴边界层结构是使用喷嘴平均流量的局部线性稳定性分析来建模的。领先的SPOD模式在稳定性本本上的投影表明,可以使用特征光谱的边界层分支的少量稳定特征模型对有组织的边界层结构进行建模,这表明非模块化效应的普遍性。最后,对平均流量进行了本地和全局的分解分析。结果表明,可以通过最佳的解析响应模式成功地描述了最能量的喷嘴结构,该模式被观察到相关的强迫模式以倾斜针对喷嘴边界层,这表明ORR机制是这些有组织,湍流,边界层面结构的基础。

We study a turbulent jet issuing from a cylindrical nozzle to characterise coherent structures evolving in the turbulent boundary layer. The analysis is performed using data from a large-eddy simulation of a Mach 0.4 jet. Azimuthal decomposition of the velocity field in the nozzle shows that turbulent kinetic energy predominantly resides in high azimuthal wavenumbers; the first three azimuthal wavenumbers, that are important for sound generation, contain much lower, but non-zero amplitudes. Using two-point statistics, low azimuthal modes in the nozzle boundary layer are shown to exhibit significant correlations with modes of same order in the free-jet region. Spectral Proper Orthogonal Decomposition (SPOD) is used to distill a low-rank approximation of the flow dynamics. This reveals the existence of tilted coherent structures within the nozzle boundary layer and shows that these are coupled with wavepackets in the jet. The educed nozzle boundary-layer structures are modelled using a local linear stability analysis of the nozzle mean flow. Projection of the leading SPOD modes on the stability eigenmodes shows that the organised boundary-layer structures can be modelled using a small number of stable eigenmodes of the boundary-layer branch of the eigenspectrum, indicating the prevalence of non-modal effects. Finally local and global resolvent analysis of the mean-flow are performed. It is shown that the most-energetic nozzle structures can be successfully described with optimal resolvent response modes, whose associated forcing modes are observed to tilt against the nozzle boundary-layer, suggesting that the Orr mechanism underpins these organised, turbulent, boundary-layer structures.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源