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首页> 外文期刊>European Journal of Mechanics, B. Fluids >Identifying the route to chaos in the flow past a flapping airfoil
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Identifying the route to chaos in the flow past a flapping airfoil

机译：在流过拍打翼型的流动中识别在流动中的途径

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Abstract Chaotic wake patterns in the flow past flapping airfoils have been reported earlier for high plunge velocities. The present work focuses on analysing the dynamics and identifying the route to chaos in this phenomenon. The unsteady flow-field is investigated using an incompressible Navier–Stokes solver. A bifurcation analysis with the plunge amplitude as the control parameter reveals that, for high plunge amplitudes, periodic vortex patterns in the wake are interrupted by abrupt chaotic patterns. The frequency of occurrence of these chaotic patterns increases on further increasing the bifurcation parameter and eventually the flow-field becomes completely chaotic. This behaviour is typically observed in systems exhibiting intermittency route to chaos, and to the best of our knowledge this has not been reported for flows past flapping airfoils. The intermittency route to chaos is conclusively established using techniques from time series analysis, such as, phase space reconstruction and recurrence plots. A qualitative analysis of the patterns in the recurrence plots is used to identify the type of intermittency to be Type I. Moreover, the implication of Type I intermittency into the flow dynamics has been studied through various vortex interaction mechanisms and its effect on the thrust generation. Quantitative measures obtained from the recurrence plots provide more insights into the dynamics as well as an early indication for the onset of chaos. Highlights ？ Numerical investigation of flow past a sinusoidally plunging airfoil undertaken. ？ Parametric study shows periodic wakes changing to chaotic patterns. ？ Dynamics and route to chaos investigated by time series analysis tools. ？ Recurrence plots and quantification used to establish the dynamics. ？ Type I intermittency route to chaos observed. ]]>
机译：<！[cdata [ Abstract 在扇形翼型中的流动中的混沌唤醒图案始先用于高插入速度。目前的工作侧重于分析动态，并在这种现象中识别混沌的路线。使用不可压缩的Navier-Stokes求解器调查不稳定的流场。随着控制参数的泄漏幅度的分叉分析显示，对于高暴幅幅度，尾迹中的周期性涡流模式被突然的混沌模式中断。这些混沌模式的发生频率在进一步增加分叉参数上增加，并且最终流场变得完全混乱。在表现出混沌间隔路线的系统中通常观察到这种行为，并且据我们所知，这尚未据报道过往扑翼翼型的流动。混沌的间歇性路线使用时间序列分析的技术确定，例如相空间重建和复发图。通过各种涡流相互作用机制研究了对复发图中的模式中的图案的定性分析来识别I型I型的间歇性。 。从复发图获得的定量措施为动态提供了更多的见解以及混沌发作的早期迹象。 突出显示 ？ 流过流过翼型的流量的数值调查。 ？ 参数研究显示周期性唤醒变为混沌模式。 ？ 动态和路由Chaos调查时间序列分析工具。 ？ 用于建立动态的复发图和定量。 ？ I型Int间歇性路由观察到混沌。 ]]>

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