Faraday waves, streaming flow, and relaxation oscillations in nearly circular containers

Higuera Torron, Maria Jesus and Porter, Jeffrey Brent and Knobloch, Edgar (2008). Faraday waves, streaming flow, and relaxation oscillations in nearly circular containers. "Chaos", v. 18 (n. 1); p. 15104. ISSN 1054-1500. https://doi.org/10.1063/1.2779860.

Description

Title: Faraday waves, streaming flow, and relaxation oscillations in nearly circular containers
Author/s:
  • Higuera Torron, Maria Jesus
  • Porter, Jeffrey Brent
  • Knobloch, Edgar
Item Type: Article
Título de Revista/Publicación: Chaos
Date: March 2008
ISSN: 1054-1500
Volume: 18
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Matemática Aplicada a la Ingeniería Aeroespacial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Faraday waves near onset in an elliptical container are described by a third-order system of ordinary differential equations with characteristic slow-fast structure. These equations describe the interaction of standing waves with a weakly damped streaming flow driven by Reynolds stresses in boundary layers at the free surface and the rigid walls, and capture the proliferation with decreasing damping of periodic and nonperiodic relaxation oscillations observed near onset in previous simulations. These structures are the result of slow drift through symmetry-related Hopf bifurcations.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainESP2006-03091UnspecifiedAna Laverón SimavillaExperimentos fluidos vibrados en microgravedad

More information

Item ID: 53468
DC Identifier: http://oa.upm.es/53468/
OAI Identifier: oai:oa.upm.es:53468
DOI: 10.1063/1.2779860
Deposited by: Memoria Investigacion
Deposited on: 20 Feb 2019 08:45
Last Modified: 20 Feb 2019 08:45
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