论文标题

紧密间隔的共旋转螺旋涡旋:通用解决方案

Closely spaced co-rotating helical vortices: General solutions

论文作者

Castillo-Castellanos, Andrés, Venegas, Eduardo Durán, Dizès, Stéphane Le

论文摘要

在这项工作中,我们提出了使用细丝方法紧密间隔的共旋转螺旋涡旋的通用解决方案。对于这些涡旋结构,螺旋对称性被损坏,但解决方案保持了一种空间周期性的形式。我们显示存在一个移动的框架,其中涡流元素沿着结构移动而不会变形。这些溶液可用于表征在尖端拆分转子叶片后产生的双尖涡旋的演变。由此产生的唤醒具有双重性质。在局部,结构的行为与与局部切线流对齐的螺旋对对。但是,随着我们远离涡旋结构,引起的流动让人联想到具有较厚芯的“等效”螺旋涡流。

In this work, we present general solutions for closely spaced co-rotating helical vortices using a filament approach. For these vortex structures, helical symmetry is broken, but solutions maintain a form of spatial periodicity. We show there exists a moving frame where vortex elements move along the structure without distorting it. These solutions can be used to characterize the evolution of the twin-tip vortices produced in the wake of a tip-splitting rotor blade. The resulting wake has a dual nature. Locally, the structure behaves much like an helical pair aligned with the locally tangent flow. However, as we move away from the vortex structure the induced flow is reminiscent of an 'equivalent' helical vortex with thicker core.

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