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Higuera, María and Nicolás, José A. and Vega de Prada, José Manuel (2002). Weakly nonlinear nonaxisymmetric oscillations of capillary bridges at small viscosity. "Physics of Fluids", v. 14 (n. 9); ISSN 1070-6631. https://doi.org/10.1063/1.1495870.
Title: | Weakly nonlinear nonaxisymmetric oscillations of capillary bridges at small viscosity |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | Physics of Fluids |
Date: | September 2002 |
ISSN: | 1070-6631 |
Volume: | 14 |
Subjects: | |
Faculty: | E.T.S.I. Aeronáuticos (UPM) |
Department: | Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014] |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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Weakly nonlinear nonaxisymmetric oscillations of a capillary bridge are considered in the limit of small viscosity. The supporting disks of the liquid bridge are subjected to small amplitude mechanical vibrations with a frequency that is close to a natural frequency. A set of equations is derived for accounting the slow dynamics of the capillary bridge. These equations describe the coupled evolution of two counter-rotating capillary waves and an associated streaming flow. Our derivation shows that the effect of the streaming flow on the capillary waves cannot be a priori ignored because it arises at the same order as the leading (cubic) nonlinearity. The system obtained is simplified, then analyzed both analytically and numerically to provide qualitative predictions of both the relevant large time dynamics and the role of the streaming flow. The case of parametric forcing at a frequency near twice a natural frequency is also considered
Item ID: | 6028 |
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DC Identifier: | https://oa.upm.es/6028/ |
OAI Identifier: | oai:oa.upm.es:6028 |
DOI: | 10.1063/1.1495870 |
Official URL: | http://pof.aip.org/resource/1/phfle6/v14/i9/p3251_... |
Deposited by: | Memoria de Investigacion 2 |
Deposited on: | 16 Feb 2011 11:25 |
Last Modified: | 28 Apr 2015 15:47 |