A new theoretical model that accounts for the excess surface energy, viscous dissipation, surface adhesion, the droplet wetting state, the droplet and fiber radii, and the fiber surface property is developed to predict the coalescence-induced droplet jumping velocity on hydrophobic fibers. The effects of the droplet and fiber radii on the energy terms, the jumping velocity, and the jumping critical contact angle of symmetric and/or asymmetric coalescence are investigated. The results indicate that for the symmetric coalescence, the jumping velocity falls after first increasing along with the increase of the radii of the droplets, despite the larger excess surface energy. However, for the asymmetric coalescence, the highest jumping velocity is achieved when the droplets have the same size. With the increase of the radii difference between the two coalesced droplets, the jumping velocity gradually decreases, even if a greater excess surface energy is released upon coalescence.

中文翻译：

---

疏水性纤维上凝聚诱导液滴跳变的新理论模型

建立了一个新的理论模型，该模型考虑了多余的表面能，粘性耗散，表面附着力，液滴的润湿状态，液滴和纤维的半径以及纤维的表面性质，以预测在疏水性纤维上聚结引起的液滴跳跃速度。研究了液滴和纤维半径对对称和/或不对称聚结的能量项，跳跃速度和跳跃临界接触角的影响。结果表明，对于对称聚结，尽管表面多余能量较大，但跳跃速度随着液滴半径的增加而先增加后下降。但是，对于不对称聚结，当液滴具有相同大小时，可以实现最高的跳跃速度。