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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Detalles Bibliográficos
Autor principal: Ferro Fontán, Constantino
Publicado: 1998
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v58_n4_p4478_Trevino
http://hdl.handle.net/20.500.12110/paper_1063651X_v58_n4_p4478_Trevino
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_1063651X_v58_n4_p4478_Trevino2023-06-08T16:03:42Z Asymptotic analysis of axisymmetric drop spreading Ferro Fontán, Constantino 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v58_n4_p4478_Trevino 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)
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.
author Ferro Fontán, Constantino
spellingShingle Ferro Fontán, Constantino
Asymptotic analysis of axisymmetric drop spreading
author_facet Ferro Fontán, Constantino
author_sort Ferro Fontán, Constantino
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v58_n4_p4478_Trevino
http://hdl.handle.net/20.500.12110/paper_1063651X_v58_n4_p4478_Trevino
work_keys_str_mv AT ferrofontanconstantino asymptoticanalysisofaxisymmetricdropspreading
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