Asymptotic analysis of axisymmetric drop spreading

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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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Autores principales: Treviño, C., Ferro-Fontán, C., Méndez, F.
Formato: Artículo publishedVersion
Publicado: 1998
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
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_1063651X_v58_n4_p4478_Trevino_oai
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spelling I28-R145-paper_1063651X_v58_n4_p4478_Trevino_oai2024-08-16 Treviño, C. Ferro-Fontán, C. Méndez, F. 1998 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. application/pdf http://hdl.handle.net/20.500.12110/paper_1063651X_v58_n4_p4478_Trevino info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Phys Rev E. 1998;58(4):4478-4484 Asymptotic analysis of axisymmetric drop spreading info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_1063651X_v58_n4_p4478_Trevino_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
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
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_1063651X_v58_n4_p4478_Trevino_oai
work_keys_str_mv AT trevinoc asymptoticanalysisofaxisymmetricdropspreading
AT ferrofontanc asymptoticanalysisofaxisymmetricdropspreading
AT mendezf asymptoticanalysisofaxisymmetricdropspreading
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