Modulated surface waves in large-aspect-ratio horizontally vibrated containers

Varas, Fernando and Vega de Prada, José Manuel (2007). Modulated surface waves in large-aspect-ratio horizontally vibrated containers. "Journal of Fluid Mechanics", v. 579 ; pp. 271-304. ISSN 0022-1120. https://doi.org/10.1017/S0022112007005071.

Description

Title: Modulated surface waves in large-aspect-ratio horizontally vibrated containers
Author/s:
  • Varas, Fernando
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: Journal of Fluid Mechanics
Date: May 2007
ISSN: 0022-1120
Volume: 579
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 harmonic and subharmonic modulated surface waves that appear upon horizontal vibration along the surface of the liquid in a two-dimensional large-aspect-ratio (length large compared to depth) container, whose depth is large compared to the wavelength of the surface waves. The analysis requires us also to consider an oscillatory bulk flow and a viscous mean flow. A weakly nonlinear description of the harmonic waves is made which provides the threshold forcing amplitude to trigger harmonic instabilities, which are of various qualitatively different kinds. A linear analysis provides the threshold amplitude for the appearance of subharmonic waves through a subharmonic instability. The results obtained are used to make several specific qualitative and quantitative predictions.

More information

Item ID: 6095
DC Identifier: http://oa.upm.es/6095/
OAI Identifier: oai:oa.upm.es:6095
DOI: 10.1017/S0022112007005071
Official URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=1006552
Deposited by: Memoria de Investigacion 2
Deposited on: 18 Feb 2011 12:45
Last Modified: 20 Apr 2016 14:43
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