2020-01-22T21:55:04Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:6083
2015-11-27T10:12:19Z
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Viscous Faraday waves in two-dimensional large-aspect-ratio containers
Mancebo, Francisco J.
Vega de Prada, José Manuel
Mathematics
Aeronautics
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.
E.T.S.I. Aeronáuticos (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2006-07
info:eu-repo/semantics/article
Article
Journal of fluid mechanics, ISSN 0022-1120, 2006-07, Vol. 560
PeerReviewed
application/pdf
eng
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=455364&fulltextType=RA&fileId=S0022112006000589
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1017/S0022112006000589
http://oa.upm.es/6083/