Viscous Faraday waves in two-dimensional large-aspect-ratio containers

Mancebo, Francisco J. and Vega de Prada, José Manuel (2006). Viscous Faraday waves in two-dimensional large-aspect-ratio containers. "Journal of fluid mechanics", v. 560 ; pp. 369-393. ISSN 0022-1120. https://doi.org/10.1017/S0022112006000589.

Description

Title: Viscous Faraday waves in two-dimensional large-aspect-ratio containers
Author/s:
  • Mancebo, Francisco J.
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: Journal of fluid mechanics
Date: July 2006
ISSN: 0022-1120
Volume: 560
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

A weakly nonlinear analysis of one-dimensional viscous Faraday waves in two-dimensional large-aspect-ratio containers is presented. The surface wave is coupled to a viscous long-wave mean flow that is slaved to the free-surface deformation. The relevant Ginzburg–Landau-like amplitude equations are derived from first principles, and can be of three different types, depending on the ratio between wavelength, depth and the viscous length. These three equations are new in the context of Faraday waves. The coefficients of these equations are calculated for arbitrary viscosity and compared with their counterparts in the literature for small viscosity; a discrepancy in the cubic coefficient is due to a dramatic sensitivity of this coefficient on a small wavenumber shift due to interplay between viscous effects and parametric forcing.

More information

Item ID: 6083
DC Identifier: http://oa.upm.es/6083/
OAI Identifier: oai:oa.upm.es:6083
DOI: 10.1017/S0022112006000589
Official URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=455364&fulltextType=RA&fileId=S0022112006000589
Deposited by: Memoria de Investigacion 2
Deposited on: 18 Feb 2011 11:52
Last Modified: 27 Nov 2015 10:12
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