论文标题

统一电场中的串联液滴运动

Tandem droplet locomotion in a uniform electric field

论文作者

Sorgentone, Chiara, Vlahovska, Petia M.

论文摘要

均匀电场中的孤立电荷中性液滴没有任何净力。但是,液滴对可以响应于场诱导的偶极和流体动力相互作用而移动。如果液滴是相同的,则对的质量中心保持固定。在这里,我们表明,如果液滴具有不同的特性,则该对由于非偏置相互作用而经历净运动。我们使用渐近理论(假设球形液滴和较大的分离)分析了三维液滴轨迹,以及基于边界积分方法的数值模拟。该动力学可以非常复杂,这取决于液滴中心线相对于所施加的场方向的初始方向。滴倾向于朝着平行或垂直于应用场方向的中心线迁移,同时又垂直于施加的场方向,或者无限期地分离。我们阐明了这些不同的相互作用情况下的条件。有趣的是,我们发现在某些情况下,液滴可以形成一个稳定的对(串联),该对平行或垂直于所施加的场方向。

An isolated charge-neutral droplet in a uniform electric field experiences no net force. However, a droplet pair can move in response to field-induced dipolar and hydrodynamic interactions. If the droplets are identical, the center of mass of the pair remains fixed. Here, we show that if the droplets have different properties, the pair experiences a net motion due to nonreciprocal interactions. We analyze the three-dimensional droplet trajectories using asymptotic theory, assuming spherical droplets and large separations, and numerical simulations based on a boundary integral method. The dynamics can be quite intricate depending on the initial orientation of the droplets line-of-centers relative to the applied field direction. Drops tend to migrate towards a configuration with line-of-centers either parallel or perpendicular to the applied field direction, while either coming into contact or indefinitely separating. We elucidate the conditions under which these different interaction scenarios take place. Intriguingly, we find that in some cases droplets can form a stable pair (tandem) that translates either parallel or perpendicular to the applied field direction.

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