平移液滴内部的定制混合
Tailored mixing inside a translating droplet
摘要：
在单个液滴内部进行定制混合可能有助于确保微观离散流体体积内的反应以受控方式发生，这些流体体积在“数字微流体”应用中用作微反应器。在这篇文章中，我们考虑一个平移的球形液滴，我们施加一个时间周期刚体旋转。这种旋转不仅通过混沌平流引起混合，其通过物质线的拉伸和折叠来操作，而且还提供了通过控制混合区域的位置和大小来调节混合的可能性。调谐混合是通过明智地调整旋转的振幅和频率，这是通过使用共振条件和绝热不变量的演变。随着混合区域的尺寸增加，获得液滴内的完全混合。
英文摘要：
Tailored mixing inside individual droplets could be useful to ensure that reactions within microscopic discrete fluid volumes, which are used as microreactors in ``digital microfluidic'' applications, take place in a controlled fashion. In this article we consider a translating spherical liquid drop to which we impose a time periodic rigid-body rotation. Such a rotation not only induces mixing via chaotic advection, which operates through the stretching and folding of material lines, but also offers the possibility of tuning the mixing by controlling the location and size of the mixing region. Tuned mixing is achieved by judiciously adjusting the amplitude and frequency of the rotation, which are determined by using a resonance condition and following the evolution of adiabatic invariants. As the size of the mixing region is increased, complete mixing within the drop is obtained.
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