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: JOUR
Acceso en línea: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
id todo:paper_1063651X_v58_n4_p4478_Trevino
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spelling todo:paper_1063651X_v58_n4_p4478_Trevino2023-10-03T16:01:22Z Asymptotic analysis of axisymmetric drop spreading 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. JOUR 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)
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 JOUR
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
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
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