Coupled Amplitude-Streaming Flow Equations for Nearly Inviscid Faraday Waves in Small Aspect Ratio Containers

Higuera, María and Vega de Prada, José Manuel and Knobloch, Edgar (2002). Coupled Amplitude-Streaming Flow Equations for Nearly Inviscid Faraday Waves in Small Aspect Ratio Containers. "Journal of Nonlinear Science", v. 12 (n. 5); pp. 505-551. ISSN 0938-8974. https://doi.org/10.1007/s00332-002-0500-.

Description

Title: Coupled Amplitude-Streaming Flow Equations for Nearly Inviscid Faraday Waves in Small Aspect Ratio Containers
Author/s:
  • Higuera, María
  • Vega de Prada, José Manuel
  • Knobloch, Edgar
Item Type: Article
Título de Revista/Publicación: Journal of Nonlinear Science
Date: 2002
ISSN: 0938-8974
Volume: 12
Subjects:
Freetext Keywords: vibrating flows, amplitude equations, streaming flow, mean flow, Faraday waves, mode interaction
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 derive a set of asymptotically exact coupled amplitude-streaming flow ({CASF}) equations governing the evolution of weakly nonlinear nearly inviscid multimode Faraday waves and the associated streaming flow in finite geometries. The streaming flow is found to play a particularly important role near mode interactions. Such interactions come about either through a suitable choice of parameters or through breaking of degeneracy among modes related by symmetry. An example of the first case is provided by the interaction of two nonaxisymmetric modes in a circular container with different azimuthal wavenumbers. The second case arises when the shape of the container is changed from square to slightly rectangular, or from circular to slightly noncircular but with a plane of symmetry. The generation of streaming flow in each of these cases is discussed in detail and the properties of the resulting CASF equations are described. A preliminary analysis suggests that these equations can resolve discrepancies between existing theory and experimental results in the first two of the above cases.

More information

Item ID: 6048
DC Identifier: http://oa.upm.es/6048/
OAI Identifier: oai:oa.upm.es:6048
DOI: 10.1007/s00332-002-0500-
Official URL: http://www.springerlink.com/content/xnmtfqp07akxxjk3/
Deposited by: Memoria de Investigacion 2
Deposited on: 17 Feb 2011 09:46
Last Modified: 28 Apr 2015 15:47
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