The formation and growth of holes in apolar nonslipping Newtonian thin films subjected to long-range Lifshitz-van der Waals forces are investigated based directly on numerical solutions of the thin-film equation. The nonphysical divergences of the hydrodynamic model and of the van der Waals force at
Dynamic Considerations in the Closing and Opening of Holes in Thin Liquid Films
โ Scribed by J.A. Moriarty; L.W. Schwartz
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 410 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0021-9797
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โฆ Synopsis
Whether holes in thin films close or open is an important issue in the design of liquid coatings. Previous analyses, for example the work of Taylor and Michael ( J. Fluid Mech. 58, 625 (1973)) predict a static criterion for hole closure based on a balance between capillary and gravitational forces. In the present work we develop a numerical model which follows the evolution of holes to determine whether they close or open. The model is based on the lubrication approximations and requires input of the advancing and receding contact angles. Because viscous forces are also included in the present model, the static criteria can be reevaluated using the more complete theory. We find that holes which the static criteria predict will close can actually open, and vice versa. (9) 1993 Academic Press, Inc.
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