Weakly dissipative Faraday waves in 2D large aspect ratio annuli

Lapuerta González, María Victoria and Martel, Carlos and Vega de Prada, José Manuel (2002). Weakly dissipative Faraday waves in 2D large aspect ratio annuli. "Physica D: Nonlinear Phenomena", v. 173 (n. 3-4); pp. 178-203. ISSN 0167-2789. https://doi.org/10.1016/S0167-2789(02)00661-9.

Description

Title: Weakly dissipative Faraday waves in 2D large aspect ratio annuli
Author/s:
  • Lapuerta González, María Victoria
  • Martel, Carlos
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: Physica D: Nonlinear Phenomena
Date: December 2002
ISSN: 0167-2789
Volume: 173
Subjects:
Freetext Keywords: Faraday waves; Streaming flow; Gravity-capillary waves; Parametric resonance
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

Weakly dissipative parametrically excited (by vertical vibration) surface gravity-capillary waves in a two-dimensional, horizontally periodic container are considered. A set of equations is derived for the coupled evolution of the left- and right-traveling surface waves and the associated mean flow, in the case when the container depth is small compared to its length but large compared to the wavelength of the excited waves. The stability of the spatially uniform standing waves (SWs) is first analyzed and then the large time spatio-temporal behavior of the system beyond threshold is numerically studied. The viscous mean flow is found to drastically affect the dynamics of the system and the resulting surface wave patterns.

More information

Item ID: 6036
DC Identifier: http://oa.upm.es/6036/
OAI Identifier: oai:oa.upm.es:6036
DOI: 10.1016/S0167-2789(02)00661-9
Official URL: http://www.sciencedirect.com
Deposited by: Memoria de Investigacion 2
Deposited on: 16 Feb 2011 13:02
Last Modified: 20 Apr 2016 14:41
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