Drift instability of standing Faraday waves

Martín Ortega, Elena and Vega de Prada, José Manuel (2002). Drift instability of standing Faraday waves. "Journal of Fluid Mechanics", v. 467 (n. 1); pp. 57-79. ISSN 0022-1120. https://doi.org/10.1017/S002211200200134.

Description

Title: Drift instability of standing Faraday waves
Author/s:
  • Martín Ortega, Elena
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: Journal of Fluid Mechanics
Date: September 2002
ISSN: 0022-1120
Volume: 467
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

We consider the weakly nonlinear evolution of the Faraday waves produced in a vertically vibrated two-dimensional liquid layer, at small viscosity. It is seen that the surface wave evolves to a drifting standing wave, namely a wave that is standing in a moving reference frame. This wave is determined up to a spatial phase, whose calculation requires consideration of the associated mean flow. This is just the streaming flow generated in the boundary layer attached to the lower plate supporting the liquid. A system of equations is derived for the coupled slow evolution of the spatial phase and the streaming flow. These equations are numerically integrated to show that the simplest reflection symmetric steady state (the usual array of counter-rotating eddies below the surface wave) becomes unstable for realistic values of the parameters. The new states include limit cycles (the array of eddies oscillating laterally), drifted standing waves (patterns that are standing in a uniformly propagating reference frame) and some more complex attractors.

More information

Item ID: 6030
DC Identifier: http://oa.upm.es/6030/
OAI Identifier: oai:oa.upm.es:6030
DOI: 10.1017/S002211200200134
Official URL: http://journals.cambridge.org
Deposited by: Memoria de Investigacion 2
Deposited on: 16 Feb 2011 11:57
Last Modified: 20 Apr 2016 14:40
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