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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.
Title: | Viscous Faraday waves in two-dimensional large-aspect-ratio containers |
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Author/s: |
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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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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.
Item ID: | 6083 |
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DC Identifier: | https://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 |