Mean Flow Effects in Model Equations for Faraday Waves

Rüdiger, Sten y Vega de Prada, José Manuel (2004). Mean Flow Effects in Model Equations for Faraday Waves. En: "Dynamics and Bifurcation of Patterns in Dissipative Systems". Series B, 12 . World Scientific Publishing, Londres, UK, pp. 174-193. ISBN 981-238-946-6.

Descripción

Título: Mean Flow Effects in Model Equations for Faraday Waves
Autor/es:
  • Rüdiger, Sten
  • Vega de Prada, José Manuel
Tipo de Documento: Sección de Libro
Título del Libro: Dynamics and Bifurcation of Patterns in Dissipative Systems
Título de Revista/Publicación: Dynamics and Bifurcation of Patterns in Dissipative Systems
Fecha: 2004
ISBN: 981-238-946-6
Volumen: 12
Materias:
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

We review model equations for parametric surface waves (Faraday waves) in the limit of small viscous dissipation. The equations account for two effects of viscosity, namely damping of the waves and slowly varying streaming and large scale flows (mean flow). Equations for the mean flow can be derived by a multiple scale analysis and are coupled to an order parameter equation describing the evolution of the surface waves. In addition, the equations incorporate a phenomenological damping term due to viscous dissipation. The nonlinear terms, which are undetermined by the derivation of the equation for the surface waves, are chosen so that the primary bifurcation is to a set of standing waves in the form of stripes. Results for the secondary instabilities of the primary waves are presented, including a weak amplification of both Eckhaus and Transverse Amplitude Modulation instabilities due to the mean flow, and a new longitudinal oscillatory instability which is absent without mean flow. Generation of mean flow due to dislocation defects in regular patterns is studied by numerical simulations.

Más información

ID de Registro: 6174
Identificador DC: http://oa.upm.es/6174/
Identificador OAI: oai:oa.upm.es:6174
URL Oficial: http://ebooks.worldscinet.com/ISBN/9789812567840/9789812567840_0010.html
Depositado por: Memoria de Investigacion 2
Depositado el: 25 Feb 2011 13:24
Ultima Modificación: 20 Abr 2016 15:29
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