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...
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| Formato: | Artículo publishedVersion |
| Lenguaje: | Inglés |
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1998
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_1063651X_v58_n4_p4478_Trevino |
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paperaa:paper_1063651X_v58_n4_p4478_Trevino2023-06-12T16:49:10Z Asymptotic analysis of axisymmetric drop spreading Phys Rev E. 1998;58(4):4478-4484 Treviño, C. Ferro-Fontán, C. Méndez, F. 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. Fil:Ferro-Fontán, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1998 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1063651X_v58_n4_p4478_Trevino |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| description |
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. |
| format |
Artículo Artículo publishedVersion |
| author |
Treviño, C. Ferro-Fontán, C. Méndez, F. |
| spellingShingle |
Treviño, C. Ferro-Fontán, C. Méndez, F. Asymptotic analysis of axisymmetric drop spreading |
| author_facet |
Treviño, C. Ferro-Fontán, C. Méndez, F. |
| author_sort |
Treviño, C. |
| title |
Asymptotic analysis of axisymmetric drop spreading |
| title_short |
Asymptotic analysis of axisymmetric drop spreading |
| title_full |
Asymptotic analysis of axisymmetric drop spreading |
| title_fullStr |
Asymptotic analysis of axisymmetric drop spreading |
| title_full_unstemmed |
Asymptotic analysis of axisymmetric drop spreading |
| title_sort |
asymptotic analysis of axisymmetric drop spreading |
| publishDate |
1998 |
| url |
http://hdl.handle.net/20.500.12110/paper_1063651X_v58_n4_p4478_Trevino |
| work_keys_str_mv |
AT trevinoc asymptoticanalysisofaxisymmetricdropspreading AT ferrofontanc asymptoticanalysisofaxisymmetricdropspreading AT mendezf asymptoticanalysisofaxisymmetricdropspreading |
| _version_ |
1769810037529640960 |