量化涡旋不稳定性对翼尖涡旋平均速度场统计的影响

IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Acta Mechanica Sinica Pub Date : 2024-07-01 DOI:10.1007/s10409-024-24085-x
Zepeng Cheng  (, ), Chong Pan  (, ), Jiangsheng Wang  (, )
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引用次数: 0

摘要

在向远场演化过程中,翼尖涡旋表现出复杂的不稳定行为,如长波/短波不稳定性和涡旋徘徊。然而,涡旋不稳定性对其速度场统计的量化影响还没有得到很好的研究。为此,我们使用粒子图像测速仪对椭圆机翼在不同攻角和雷诺数条件下产生的典型翼尖漩涡进行了实验测量。结果发现,徘徊振幅的流向变化在中远尾流区呈指数增长,在远尾流区渐近饱和至 10-1b,这与之前报告的近尾流区的线性增长趋势不同。此外,还采用了两种平均方法,即时间平均(TA)和集合平均(EA)来比较速度场统计量。在TA和EA得到的流场中,涡旋半径rc、峰值涡度\(\Omega_{x}^{p}\)和涡旋环流Γ都表现出与流向位置有关的幂律缩放关系,即\分别为:(r_{c}/propto x^{k_{r}},(Omega_{x}^{p}/propto x^{-k_{\omega}}/)和(\Gamma/propto x^{-k_{\Gamma}}/)。对于中远距离尾流区域的全滚动翼尖涡旋,kΓ = kω - 2kr 这一事实表明,涡旋环流可以缩放为\(\Gamma=\Omega_{x}^{p}(r_{c})^{2}\)。另一方面,TA 高估了峰值涡度的衰减率 kω 和涡旋半径的增长率 kr。此外,还发现 TA 引入的峰值涡度和涡半径的偏差水平分别与徘徊振幅之间的幂律经验值成比例关系。这些发现为在唤醒涡间距系统中探测唤醒涡提供了重要的实用价值。
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Quantifying the influence of vortex instability on mean velocity field statistics of wingtip vortex

During its evolution to the far field, the wingtip vortex exhibits complex instability behaviors such as long-wave/short-wave instability and vortex wandering. However, the quantification influence of vortex instability on its velocity field statistics has not been well investigated. To this end, experimental measurements of a canonical wingtip vortex generated by an elliptical wing under various angles of attack and Reynolds numbers were conducted using particle image velocimetry. It is found that the streamwise variation of wandering amplitude presents an exponential growth within the middle-to-far wake region and asymptotically saturates to 10−1b in the far wake, which differs from the previous report of a linear growth trend in the near-wake region. Further, two average methods, i.e., time average (TA) and ensemble average (EA), were adopted to compare the velocity field statistics. In both TA- and EA-obtained flow fields, the vortex radius rc, peak vorticity \(\Omega_{x}^{p}\), and vortex circulation Γ all demonstrate a power-law scaling with respect to the streamwise location, i.e., \(r_{c}\propto x^{k_{r}},\Omega_{x}^{p}\propto x^{-k_{\omega}}\), and \(\Gamma\propto x^{-k_{\Gamma}}\), respectively. For a full rolling-up wingtip vortex in the middle-to-far wake region, the fact that kΓ = kω − 2kr demonstrates that the vortex circulation can be scaled as \(\Gamma=\Omega_{x}^{p}(r_{c})^{2}\). On the other hand, TA overestimates the decay rate of peak vorticity kω and the growth rate of vortex radius kr. Furthermore, the TA-introduced bias level of the peak vorticity and vortex radius is found to be scaled with an empirical scaling between the wandering amplitude by a power law, respectively. These findings provide significant practical value for detecting wake vortex in wake vortex spacing systems.

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来源期刊
Acta Mechanica Sinica
Acta Mechanica Sinica 物理-工程:机械
CiteScore
5.60
自引率
20.00%
发文量
1807
审稿时长
4 months
期刊介绍: Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences. Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences. In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest. Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics
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