Asymptotic analysis of the dewetting rim

被引:49
作者
Snoeijer, Jacco H. [1 ,2 ]
Eggers, Jens [3 ]
机构
[1] Univ Twente, Phys Fluids Grp, NL-7500 AE Enschede, Netherlands
[2] Univ Twente, JM Burgers Ctr Fluid Dynam, NL-7500 AE Enschede, Netherlands
[3] Univ Bristol, Dept Math, Bristol BS8 1TW, Avon, England
来源
PHYSICAL REVIEW E | 2010年 / 82卷 / 05期
关键词
CONTACT LINES; DYNAMICS; RELEVANT; SURFACE; LIQUID; MODEL; DROP;
D O I
10.1103/PhysRevE.82.056314
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Consider a film of viscous liquid covering a solid surface, which it does not wet. If there is an initial hole in the film, the film will retract further, forming a rim of fluid at the receding front. We calculate the shape of the rim as well as the speed of the front using lubrication theory. We employ asymptotic matching between the contact line region, the rim, and the film. Our results are consistent with simple ideas involving dynamic contact angles and permit us to calculate all free parameters of this description, previously unknown.
引用
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页数:8
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