Weakly Nonlinear Oscillations of Nearly Inviscid Axisymmetric Liquid Briges

Nicolás, José A. and Vega de Prada, José Manuel (1996). Weakly Nonlinear Oscillations of Nearly Inviscid Axisymmetric Liquid Briges. "Journal of Fluid Mechanics", v. 328 ; pp. 95-128. ISSN 0022-1120. https://doi.org/10.1017/S002211209600866X.

Description

Title: Weakly Nonlinear Oscillations of Nearly Inviscid Axisymmetric Liquid Briges
Author/s:
  • Nicolás, José A.
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: Journal of Fluid Mechanics
Date: 1996
ISSN: 0022-1120
Volume: 328
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

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (1MB) | Preview

Abstract

A weakly nonlinear analysis is presented of the small oscillations of nearly inviscid liquid bridges subjected to almost resonant axial vibrations of the disks. An amplitude equation is derived for the evolution of the complex amplitude of the oscillations that exhibits hysteresis and period doublings. We also analyse the steady streaming in the bulk forced by the oscillatory boundary layers near the disks; the boundary layer near the free surface produces no forcing terms. In particular some experimentally observed patterns are explained, and some new, non-observed ones are predicted. We conclude that the structure of this steady flow is not the appropriate one to counterbalance steady thermocapillary convection, but our results indicate how to get the desired counterbalancing effect.

More information

Item ID: 6189
DC Identifier: http://oa.upm.es/6189/
OAI Identifier: oai:oa.upm.es:6189
DOI: 10.1017/S002211209600866X
Official URL: https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/div-classtitleweakly-nonlinear-oscillations-of-nearly-inviscid-axisymmetric-liquid-bridgesdiv/071141BFE3732C5032EC8387388E214C
Deposited by: Memoria de Investigacion 2
Deposited on: 25 Feb 2011 14:01
Last Modified: 17 Jan 2017 10:54
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM