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超疏水圆柱棒上的水下气泡输运

Underwater bubble transport on superhydrophobic cylindrical rod

Rajalingam A, Sunghwan Jung, Pallab Sinha Mahapatra

arXiv 2609.22722首次发表:更新:

发表机构

Indian Institute of Technology Madras; Cornell University(印度马德拉斯理工学院; 康奈尔大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究通过力平衡模型和实验模拟,揭示了超疏水圆柱棒上气泡输运受倾角、尺寸比及尾流耦合影响,并建立了输运机制图。

AI 中文摘要

气泡沿弯曲超疏水表面的输运不仅受浮力控制,还受几何约束、毛细力和接触线阻力以及水动力阻力之间相互作用的影响。我们系统研究了被输运气泡的毛细数($Ca$)和邦德数($Bo$),以及棒相对于气泡的尺寸。建立了一个解析力平衡模型来预测输运速度,该模型考虑了浮力、水动力阻力和毛细阻力。识别了从输运到脱离的转变。实验按顺序进行,并辅以轴对称数值模拟,以研究尾流引起的气泡间相互作用。气泡输运受棒倾角和气泡与棒尺寸比的强烈影响,表明曲率引起的约束改变了驱动力和阻力之间的平衡。解析模型捕捉了实验趋势,在大多数情况下偏差小于10%。气泡在临界邦德数下从倾斜棒上脱离,该临界邦德数取决于棒直径,从而促进了输运机制图的建立。研究还发现,连续气泡的运动是强耦合的。当后续气泡进入前导气泡的尾流时,它会加速并获得比前导气泡更高的毛细数。实验和数值模拟均一致再现了这种尾流介导的加速,这表明气泡输运既受单个气泡上的力平衡控制,也受相邻气泡之间的水动力相互作用控制。这些发现为在超疏水界面上控制气泡输运、脱离和集体运动奠定了基础。

英文摘要

The transport of bubbles along a curved superhydrophobic surface is not governed by buoyancy alone, but also by the interaction between the geometric confinement, the capillary and contact-line resistance, and the hydrodynamic resistance. We systematically investigated the capillary number ($Ca$) and Bond number ($Bo$) of the transported bubble, as well as the size of the rod relative to the bubble. An analytical force-balance model was developed to predict transport velocity, accounting for buoyancy, hydrodynamic drag, and capillary resistance. The transition from transport to detachment was identified. The experiments were carried out sequentially and supplemented by axisymmetric numerical simulations to investigate wake-induced interactions between bubbles. Bubble transport is strongly influenced by rod inclination and the bubble-to-rod size ratio, demonstrating that curvature-induced confinement alters the balance between driving and resistive forces. The analytical model captured the experimental trends with deviations of less than 10\% in most cases. The bubble detaches from the inclined rod at a critical Bond number that depends on rod diameter, facilitating the development of a transport regime map. The study also found that the motion of successive bubbles is strongly coupled. When a following bubble enters the wake of a preceding bubble, it speeds up and attains a higher capillary number than the leading bubble. Both experiments and numerical simulations consistently reproduce this wake-mediated acceleration, which shows that bubble transport is governed by both the force balance on individual bubbles and the hydrodynamic interactions between adjacent bubbles. These findings form the basis for controlling bubble transport, detachment, and collective motion on superhydrophobic interfaces.

论文原文

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