Asymptotic analysis of axisymmetric drop spreading
We study in this paper the time evolution of the spreading process of a small drop in contact with a flat dry surface, using asymptotic techniques. We reduced the problem by solving a quasisteady self-similar macroscopic problem and matched with the precursor region solution, where the van der Waals...
| Autores principales: | , , |
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| Formato: | Artículo publishedVersion |
| Publicado: |
1998
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_1063651X_v58_n4_p4478_Trevino https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_1063651X_v58_n4_p4478_Trevino_oai |
| Aporte de: |
| Sumario: | We study in this paper the time evolution of the spreading process of a small drop in contact with a flat dry surface, using asymptotic techniques. We reduced the problem by solving a quasisteady self-similar macroscopic problem and matched with the precursor region solution, where the van der Waals forces are important. A final nonlinear third-order ordinary differential equation has been solved numerically using shooting methods based on the fourth-order Runge-Kutta techniques. We obtained how the capillary number changes when the drop size decreases with time. The evolution process then diverges slightly from that obtained using the spherical cap approximation. The influence of gravity is also considered for both hanging and sitting drops. © 1998 The American Physical Society. |
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