Faraday instability threshold in large-aspect-ratio containers

Mancebo, Francisco J. and Vega de Prada, José Manuel (2002). Faraday instability threshold in large-aspect-ratio containers. "The Journal of Fluid Mechanics", v. 467 (n. 1); pp. 307-330. ISSN 0022-1120. https://doi.org/10.1017/S0022112002001398.

Description

Title: Faraday instability threshold in large-aspect-ratio containers
Author/s:
  • Mancebo, Francisco J.
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: The Journal of Fluid Mechanics
Date: 2002
ISSN: 0022-1120
Volume: 467
Subjects:
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

We consider the Floquet linear problem giving the threshold acceleration for the appearance of Faraday waves in large-aspect-ratio containers, without further restrictions on the values of the parameters. We classify all distinguished limits for varying values of the various parameters and simplify the exact problem in each limit. The resulting simplified problems either admit closed-form solutions or are solved numerically by the well-known method introduced by Kumar & Tuckerman (1994). Some comparisons are made with (a) the numerical solution of the original exact problem, (b) some ad hoc approximations in the literature, and (c) some experimental results.

More information

Item ID: 6046
DC Identifier: http://oa.upm.es/6046/
OAI Identifier: oai:oa.upm.es:6046
DOI: 10.1017/S0022112002001398
Official URL: http://www.jfm.damtp.cam.ac.uk/
Deposited by: Memoria de Investigacion 2
Deposited on: 17 Feb 2011 09:17
Last Modified: 20 Apr 2016 14:41
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