利用共振控制平移旋转液滴的混沌混合
Using Resonances to Control Chaotic Mixing within a Translating and Rotating Droplet
摘要：
增强和控制液滴内的混沌平流或混沌混合对于包括使用微观“离散”流体体积（液滴）作为微反应器的数字微流体装置的各种应用是至关重要的。在这项工作中，我们考虑斯托克斯流动的平移球形液滴，我们通过施加一个时间周期性的刚体旋转扰动。使用动力系统的工具，我们已经表明，在以前的工作中，旋转不仅导致一个或多个三维混沌混合区域，其中混合发生通过拉伸和折叠的材料线，但也提供了控制的大小和位置的可能性混沌混合内的下降。这种控制是通过适当调整旋转的幅度和频率来实现的，以便利用系统的固有频率与外部力的固有频率之间的共振。在本文中，我们研究的旋转轴的方向上的混沌混合区作为第三个参数的影响，以及提出了一个实验设置来实现所讨论的技术。
英文摘要：
Enhancing and controlling chaotic advection or chaotic mixing within liquid droplets is crucial for a variety of applications including digital microfluidic devices which use microscopic ``discrete'' fluid volumes (droplets) as microreactors. In this work, we consider the Stokes flow of a translating spherical liquid droplet which we perturb by imposing a time-periodic rigid-body rotation. Using the tools of dynamical systems, we have shown in previous work that the rotation not only leads to one or more three-dimensional chaotic mixing regions, in which mixing occurs through the stretching and folding of material lines, but also offers the possibility of controlling both the size and the location of chaotic mixing within the drop. Such a control was achieved through appropriate tuning of the amplitude and frequency of the rotation in order to use resonances between the natural frequencies of the system and those of the external forcing. In this paper, we study the influence of the orientation of the rotation axis on the chaotic mixing zones as a third parameter, as well as propose an experimental set up to implement the techniques discussed.
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。
