Nearly inviscid Faraday waves in annular containers of moderately large aspect ratio

Vega de Prada, José Manuel and Knobloch, Edgar and Martel, Carlos (2001). Nearly inviscid Faraday waves in annular containers of moderately large aspect ratio. "Physica D: Nonlinear Phenomena", v. 154 (n. 3-4); pp. 313-336. ISSN 0167-2789. https://doi.org/10.1016/S0167-2789(01)00238-X.

Description

Title: Nearly inviscid Faraday waves in annular containers of moderately large aspect ratio
Author/s:
  • Vega de Prada, José Manuel
  • Knobloch, Edgar
  • Martel, Carlos
Item Type: Article
Título de Revista/Publicación: Physica D: Nonlinear Phenomena
Date: June 2001
ISSN: 0167-2789
Volume: 154
Subjects:
Freetext Keywords: PACS: 47.20.Ky; 47.20.Ma; 47.35.+i; 47.54.+r 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 domains of finite depth 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. Under suitable conditions the mean flow consists of an inviscid part together with a viscous mean flow driven by a tangential stress due to an oscillatory 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. For moderately large aspect ratio domains the amplitude equations are nonlocal but decouple from the equations describing the interaction of the slow spatial phase and the viscous mean flow. Two cases are considered in detail, gravity–capillary waves and capillary waves in a microgravity environment.

More information

Item ID: 6023
DC Identifier: http://oa.upm.es/6023/
OAI Identifier: oai:oa.upm.es:6023
DOI: 10.1016/S0167-2789(01)00238-X
Official URL: http://www.sciencedirect.com
Deposited by: Memoria de Investigacion 2
Deposited on: 16 Feb 2011 10:15
Last Modified: 20 Apr 2016 14:40
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