论文标题
在流向振荡的圆柱唤醒中,从不稳定到准稳态的动态
From unsteady to quasi-steady dynamics in the streamwise-oscillating cylinder wake
论文作者
论文摘要
围绕频率的气缸的流动以频率为$ f_f $的流动方向振荡,远低于脱落频率,$ f_s $,比这些频率具有相同的数量级或横向振荡配置的情况相对较小。在这项研究中,使用粒子图像速度计和Koopman模式分解用于研究强迫频率的流向振荡的圆柱唤醒$ f_f/f_s \ sim 0.04-0.2 $和平均雷诺数,$ re_0 = 900 $。振荡的幅度使得瞬时雷诺数始终保持涡旋脱落的临界值高于临界值。尾流的表征揭示了与两个频率相互作用相关的一系列现象,包括通过强迫调节尾流结构的幅度和频率。 Koopman分析揭示了Koopman模式的频率传播。开发了缩放参数和相关的转换,以将系统的不稳定或强制性动态与准稳态或不强制的系统相关联。对于流向流动的圆柱体,这表明这种转换导致了类似于非强制系统的库普曼模式分解。
The flow around a cylinder oscillating in the streamwise direction with a frequency, $f_f$, much lower than the shedding frequency, $f_s$, has been relatively less studied than the case when these frequencies have the same order of magnitude, or the transverse oscillation configuration. In this study, Particle Image Velocimetry and Koopman Mode Decomposition are used to investigate the streamwise-oscillating cylinder wake for forcing frequencies $f_f/f_s \sim 0.04-0.2$ and mean Reynolds number, $Re_0 = 900$. The amplitude of oscillation is such that the instantaneous Reynolds number remains above the critical value for vortex shedding at all times. Characterization of the wake reveals a range of phenomena associated with the interaction of the two frequencies, including modulation of both the amplitude and frequency of the wake structure by the forcing. Koopman analysis reveals a frequency spreading of Koopman modes. A scaling parameter and associated transformation are developed to relate the unsteady, or forced, dynamics of a system to that of a quasi-steady, or unforced, system. For the streamwise-oscillating cylinder, it is shown that this transformation leads to a Koopman Mode Decomposition similar to that of the unforced system.