Weakly nonlinear nonaxisymmetric oscillations of capillary bridges at small viscosity

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.

Description

Title: Weakly nonlinear nonaxisymmetric oscillations of capillary bridges at small viscosity
Author/s:
  • Higuera, María
  • Nicolás, José A.
  • Vega de Prada, José Manuel
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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Abstract

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

More information

Item ID: 6028
DC Identifier: http://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_s1?isAuthorized=no
Deposited by: Memoria de Investigacion 2
Deposited on: 16 Feb 2011 11:25
Last Modified: 28 Apr 2015 15:47
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