Coupled Mean Flow-Amplitude Equations for Nearly Inviscid Parametrically Driven Surface Waves

Knobloch, Edgar and Martel, Carlos and Vega de Prada, José Manuel (2002). Coupled Mean Flow-Amplitude Equations for Nearly Inviscid Parametrically Driven Surface Waves. "Annals of the New York Academy of Sciences", v. 974 ; pp. 201-219. ISSN 1749-6632. https://doi.org/10.1111/j.1749-6632.2002.tb05909.x.

Description

Title: Coupled Mean Flow-Amplitude Equations for Nearly Inviscid Parametrically Driven Surface Waves
Author/s:
  • Knobloch, Edgar
  • Martel, Carlos
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: Annals of the New York Academy of Sciences
Date: October 2002
ISSN: 1749-6632
Volume: 974
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

Nearly inviscid parametrically excited surface gravity-capillary waves in two-dimensional periodic domains of finite depth and both small and large aspect ratio are considered. Coupled equations describing the evolution of the amplitudes of resonant left- and right-traveling waves and their interaction with a mean flow in the bulk are derived, and the conditions for their validity established. In general the mean flow consists of an inviscid part together with a viscous streaming flow driven by a tangential stress due to an oscillating viscous boundary layer near the free surface and a tangential velocity due to a bottom boundary layer. These forcing mechanisms are important even in the limit of vanishing viscosity, and provide boundary conditions for the Navier-Stokes equation satisfied by the mean flow in the bulk. The streaming flow is responsible for several instabilities leading to pattern drift.

More information

Item ID: 6049
DC Identifier: http://oa.upm.es/6049/
OAI Identifier: oai:oa.upm.es:6049
DOI: 10.1111/j.1749-6632.2002.tb05909.x
Official URL: http://onlinelibrary.wiley.com/doi/10.1111/j.1749-6632.2002.tb05909.x/abstract
Deposited by: Memoria de Investigacion 2
Deposited on: 17 Feb 2011 09:46
Last Modified: 20 Apr 2016 14:41
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