Pilot-wave hydrodynamics in a rotating frame: Exotic orbits
Pilot-wave hydrodynamics in a rotating frame: Exotic orbits
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旋转框架中的导波流体动力学：奇异轨道
DOI：
10.1063/1.4891568
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发表时间：
2014
影响因子：
4.6
通讯作者：
J. M. Bush
中科院分区：
文献类型：
--
作者：
Anand U. Oza;Øistein Wind;D. Harris;R. Rosales;J. M. Bush
我们给出了液滴在旋转振动流体槽上行走的数值研究结果。用积分-微分方程组描述了液滴的运动轨迹，并对不同参数下的液滴轨迹进行了数值模拟。随着强迫加速度的逐渐增大，稳定的圆形轨道让位于摇摆轨道，继而是轨道中心的不稳定性，其特征是稳定漂移然后离散跳跃。在大振动力的作用下，步行者的运动轨迹变得混沌，但其统计行为反映了不稳定轨道解的影响。这项研究产生了一个完整的状态图，总结了步行者行为对系统参数的依赖。我们的预测与Harris和Bush的实验观测结果相比是有利的[《水滴在旋转坐标系中行走：从量子化轨道到多峰统计》，J.流体力学。739,444-464(2014)]。
We present the results of a numerical investigation of droplets walking on a rotating vibrating fluid bath. The drop's trajectory is described by an integro-differential equation, which is simulated numerically in various parameter regimes. As the forcing acceleration is progressively increased, stable circular orbits give way to wobbling orbits, which are succeeded in turn by instabilities of the orbital center characterized by steady drifting then discrete leaping. In the limit of large vibrational forcing, the walker's trajectory becomes chaotic, but its statistical behavior reflects the influence of the unstable orbital solutions. The study results in a complete regime diagram that summarizes the dependence of the walker's behavior on the system parameters. Our predictions compare favorably to the experimental observations of Harris and Bush [“Droplets walking in a rotating frame: from quantized orbits to multimodal statistics,” J. Fluid Mech. 739, 444–464 (2014)].