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arXiv 2107.02015physics.flu-dyn
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黏性透镜聚并的理论

Theory for the coalescence of viscous lenses

Walter Tewes, Michiel A. Hack, Charu Datt, Gunnar G. Peng, Jacco H. Snoeijer

AI总结:

本文基于薄片方程,通过数值模拟和匹配渐近分析,研究了二维黏性液体透镜的聚并动力学,发现其前导阶自相似解受边界条件修正,并可能伴随液滴整体平移。

摘要:

液滴聚并通过连接两个液滴的液桥快速生长而发生。在接触后的早期阶段,液桥动力学通常是自相似的,其细节取决于液体的几何形状和黏度。本文分析了漂浮在静止深池上的二维黏性液滴的聚并;此类液滴称为液体透镜。分析基于薄片方程,该方程最近被证明能准确捕捉液体透镜聚并的实验结果。研究发现,液桥动力学在前导阶遵循自相似解,但根据液滴上的大尺度边界条件,该解可能出现显著修正。我们通过数值模拟和匹配渐近展开详细研究了这一动力学过程。我们表明,液体透镜聚并可能涉及液滴的整体平移,这一特征已通过实验得到证实。

英文摘要:

Drop coalescence occurs through the rapid growth of a liquid bridge that connects the two drops. At early times after contact, the bridge dynamics is typically self-similar, with details depending on the geometry and viscosity of the liquid. In this paper we analyse the coalescence of two-dimensional viscous drops that float on a quiescent deep pool; such drops are called liquid lenses. The analysis is based on the thin-sheet equations, which were recently shown to accurately capture experiments of liquid lens coalescence. It is found that the bridge dynamics follows a self-similar solution at leading order, but, depending on the large-scale boundary conditions on the drop, significant corrections may arise to this solution. This dynamics is studied in detail using numerical simulations and through matched asymptotics. We show that the liquid lens coalescence can involve a global translation of the drops, a feature that is confirmed experimentally.

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。

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