期刊
EUROPEAN PHYSICAL JOURNAL E
卷 35, 期 11, 页码 -出版社
SPRINGER
DOI: 10.1140/epje/i2012-12114-x
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资金
- Ecole Normale Superieure of Paris
- Natural Sciences and Engineering Research Council of Canada
- German Research Foundation (DFG) [BA 3406/2]
- Chaire Total-ESPCI
- Saint Gobain Fellowship
We report on the numerical implementation of thin-film equations that describe the capillary-driven evolution of viscous films, in two-dimensional configurations. After recalling the general forms and features of these equations, we focus on two particular cases inspired by experiments: the leveling of a step at the free surface of a polymer film, and the leveling of a polymer droplet over an identical film. In each case, we first discuss the long-term self-similar regime reached by the numerical solution before comparing it to the experimental profile. The agreement between theory and experiment is excellent, thus providing a versatile probe for nanorheology of viscous liquids in thin-film geometries.
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