Theoretical and Experimental Study of the Vibration of Axisymmetric Viscous Liquid Bridges

Meseguer Ruiz, José and Perales Perales, José Manuel (1992). Theoretical and Experimental Study of the Vibration of Axisymmetric Viscous Liquid Bridges. "Physics of Fluids A", v. 4 (n. 6); pp. 1110-1130. ISSN 0899-8213. https://doi.org/10.1063/1.858230.

Description

Title: Theoretical and Experimental Study of the Vibration of Axisymmetric Viscous Liquid Bridges
Author/s:
  • Meseguer Ruiz, José
  • Perales Perales, José Manuel
Item Type: Article
Título de Revista/Publicación: Physics of Fluids A
Date: June 1992
ISSN: 0899-8213
Volume: 4
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Vehículos Aeroespaciales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

n this paper the dynamics of axisymmetric liquid columns held by capillary forces between two circular, concentric, solid disks is considered. The problem has been solved by using a one‐dimensional model known in the literature as the Cosserat model, which includes viscosity effects, where the axial velocity is considered constant in each section of the liquid bridge. The dynamic response of the bridge to an excitation consisting of a small‐amplitude vibration of the supporting disks has been solved by linearizing the Cosserat model. It has been assumed that such excitation is harmonic so that the analysis has been performed in the frequency domain. The particular case of a cylindrical liquid bridge has been analytically studied and the transfer function has been calculated in the cases of oscillation of both disks (either in phase or in counterphase) or only of one of them. The resolution of the general formulation for a noncylindrical liquid bridge has been numerically made by using an implicit finite difference method. In this case, the influence of the volume of the liquid column and of the residual gravity level on the first resonance has been studied, and the results compared, for the inviscid case, with other potential models, both one and three dimensional. To demonstrate the usefulness of this theoretical model in predicting the vibrational behavior of axisymmetric viscous liquid bridges, some experiments have been performed by using the neutral buoyancy technique (also known as the Plateau technique) to simulate reduced gravity conditions, with good agreement between the results of the model and experiments.

More information

Item ID: 4835
DC Identifier: http://oa.upm.es/4835/
OAI Identifier: oai:oa.upm.es:4835
DOI: 10.1063/1.858230
Official URL: http://pof.aip.org/resource/1/pfadeb/v4/i6/p1110_s1?isAuthorized=no
Deposited by: Memoria Investigacion
Deposited on: 05 Nov 2010 10:41
Last Modified: 20 Apr 2016 13:54
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