Groovy drops: Effect of groove curvature on spontaneous capillary flow

Groovy drops: Effect of groove curvature on spontaneous capillary flow
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DOI:
10.1021/la700473m
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发表时间:
2007-07-31
期刊:
影响因子:
3.9
通讯作者:
Dadheech, Gayatri Vyas
Dadheech, Gayatri Vyas
中科院分区:
化学2区
文献类型:
--
作者:
Kitron-Belinkov, Myra;Marmur, Abraham;Dadheech, Gayatri Vyas

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当满足冲击鳍(CF)条件时,液滴在具有理想尖角的凹槽中的自发毛细流动(SCF)是可能的。然而,由于理想的尖角在现实中并不存在,因此了解有限角曲率对SCF的影响是很重要的。这种效果的分析研究了长滴在V形槽与弯曲的角落,导致这样的下降的CF条件的泛化。广义条件意味着SCF取决于角部的几何形状以及液滴的无量纲长度,除了其对CF条件所覆盖的开度角和接触角的依赖之外。对于圆角给出了具体的计算。此外,还使用Surface Evolver软件对圆角V形凹槽中的短液滴进行了数值计算。这两种类型的计算结果表明,即使是一个相对较小的角落半径强烈影响SCF的可能性:当角落是不理想的尖锐,SCF需要的条件是更难以实现的CF条件的预测;此外,液滴的传播停止在一个有限的长度,并没有无限地进行。
Spontaneous capillary flow (SCF) of a drop in a groove with an ideally sharp corner is possible when the Concus-Fin (CF) condition is fulfilled. However, since ideally sharp corners do not exist in reality, it is important to understand the effect of finite corner curvature on SCF. This effect is analytically studied for long drops in a V-shaped groove with a curved corner, leading to a generalization of the CF condition for such drops. The generalized condition implies that SCF depends on the geometry of the corner as well as on the dimensionless length of the drop, in addition to its dependence on the opening angle and contact angle that is covered by the CF condition. Specific calculations are presented for rounded corners. In addition, this effect is numerically calculated for short drops in V-shaped grooves with rounded corners, using the Surface Evolver software. The results of both types of calculations show that even a relatively small corner radius strongly affects the possibility of SCF: when the corner is not ideally sharp, SCF requires conditions that are more difficult to achieve than predicted by the CF condition; also, the spreading of the drop stops at a finite length and does not proceed indefinitely.