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Understanding turbulent free-surface vortex flows using a Taylor-Couette flow analogy

机译:使用泰勒-库埃特流类比理解湍流自由表面涡流

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摘要

Free-surface vortices have long been studied to develop an understanding of similar rotating flow phenomena observed in nature and technology. However, a complete description of its turbulent three-dimensional flow field still remains elusive. In contrast, the related Taylor-Couette flow system has been well explicated which classically exhibits successive instability phases manifested in so-called Taylor vortices. In this study, observations made on the turbulent free-surface vortex revealed distinguishable, time-dependent “Taylor-like” vortices in the secondary flow field similar to the Taylor-Couette flow system. The observations were enabled by an original application of 2D ultrasonic Doppler velocity profiling complemented with laser induced fluorescence dye observations. Additional confirmation was provided by three-dimensional numerical simulations. Using Rayleigh’s stability criterion, we analytically show that a wall bounded free-surface vortex can indeed become unstable due to a centrifugal driving force in a similar manner to the Taylor-Couette flow. Consequently, it is proposed that the free-surface vortex can be treated analogously to the Taylor-Couette flow permitting advanced conclusions to be drawn on its flow structure and the various states of free-surface vortex flow stability.
机译:长期以来,人们一直在研究自由表面涡流,以加深对自然界和技术界所观察到的类似旋转流现象的理解。但是,对其湍流三维流场的完整描述仍然难以捉摸。相反,已经很好地说明了相关的泰勒-库埃特流系统,该系统经典地表现出在所谓的泰勒涡流中表现出的连续的不稳定性阶段。在这项研究中,对湍流自由表面涡流的观测揭示了在次级流场中与泰勒-库埃特流场类似的,可区分的,时间相关的“泰勒式”涡流。这些观察是通过最初应用二维超声多普勒速度分布图并辅以激光诱导的荧光染料观察而实现的。三维数值模拟进一步证实了这一点。使用瑞利的稳定性判据,我们分析表明,壁的自由表面涡流确实会由于与泰勒-库埃特流相似的离心驱动力而变得不稳定。因此,提出可以将自由表面涡流类似于泰勒-库埃特流进行处理,从而可以对其流动结构和自由表面涡流稳定性的各种状态做出更高级的结论。

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