关于不等强度无粘涡对中尘埃捕获的注记
Note on dust trapping in inviscid vortex pairs with unequal strengths
摘要：
本文从理论上研究了由两点涡组成的平面无粘流中输运的微小重被动粒子的运动，以了解涡相互作用过程中粒子的弥散和捕获。尽管粒子的密度很大，但它们不一定会从旋涡中被离心分离出来。结果表明，只要颗粒响应时间和涡强比在适当的范围内，它们在随涡旋转的参考系中可以有不同的平衡位置。稳定性分析表明，这些点中的一些可以是渐近稳定的，因此可以捕获在其吸引盆中释放的粒子。导出了一个完整的捕集图，表明任何涡对都有可能成为尘埃捕集器，只要涡强度比不同于0（单涡）和-1（平移对称涡）。无论是同向旋转还是反向旋转的涡对都存在捕获现象。在后一种情况下，还观察到极限环上的粒子捕获，并通过使用推广到非惯性参考系的Sapsis和Haller方法[Chaos，20，017515，2010]进行确认。
英文摘要：
We investigate theoretically the motion of tiny heavy passive particles transported in a plane inviscid flow consisting of two point vortices, in order to understand particle dispersion and trapping during vortex interaction. In spite of their large density, particles are not necessarily centrifugated away from vortices. It is observed that they can have various equilibrium positions in the reference frame rotating with the vortices, provided the particle response time and the vortex strength ratio lie in appropriate ranges. A stability analysis reveals that some of these points can be asymptotically stable, and can therefore trap particles released in their basin of attraction. A complete trapping diagram is derived, showing that any vortex pair can potentially become a dust trap, provided the vortex strength ratio is different from 0 (single vortex) and -1 (translating symmetrical vortices). Trapping exists for both co-rotating or contra-rotating vortex pairs. In the latter case, particle trapping on a limit cycle is also observed, and confirmed by using Sapsis and Haller's method [Chaos, 20, 017515, 2010] generalized to non-inertial reference frames.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
