Subharmonic capillary-gravity waves in large containers subject to horizontal vibrations

Pérez-Gracia, José M. and Porter, J. R. and Varas, Fernando and Vega, José M. (2014). Subharmonic capillary-gravity waves in large containers subject to horizontal vibrations. "Journal of Fluid Mechanics", v. 739 ; pp. 196-228. ISSN 0022-1120. https://doi.org/10.1017/jfm.2013.606.

Description

Title: Subharmonic capillary-gravity waves in large containers subject to horizontal vibrations
Author/s:
  • Pérez-Gracia, José M.
  • Porter, J. R.
  • Varas, Fernando
  • Vega, José M.
Item Type: Article
Título de Revista/Publicación: Journal of Fluid Mechanics
Date: January 2014
ISSN: 0022-1120
Volume: 739
Subjects:
Freetext Keywords: Capillary waves; parametric instability; pattern formation
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Aeronaves y Vehículos Espaciales
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

This paper deals with nearly inviscid, capillary?gravity, modulated waves parametrically excited by monochromatic horizontal vibrations in liquid containers whose width and depth are both large compared with the wavelength of the excited waves. A general linear amplitude equation is derived with appropriate boundary conditions that provides the threshold acceleration and associated spatiotemporal patterns, which compare very well with experimental measurements and visualizations. The primary instability is associated with a pair of complex Floquet multipliers that are close to (but strictly different from) ?1, meaning that the instability is not strictly (2:1) subharmonic. The resulting (quasi-periodic) waves are generally oblique, not perpendicular to the vibrating endwalls. The extension of the theory to other confined systems such as vibrating containers of arbitrary shape and vibrating drops is also considered.

More information

Item ID: 53486
DC Identifier: http://oa.upm.es/53486/
OAI Identifier: oai:oa.upm.es:53486
DOI: 10.1017/jfm.2013.606
Official URL: https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/div-classtitlesubharmonic-capillarygravity-waves-in-large-containers-subject-to-horizontal-vibrationsdiv/83FD4B29CEFC16C82139623944F5FCE6
Deposited by: Memoria Investigacion
Deposited on: 19 Feb 2019 12:50
Last Modified: 19 Feb 2019 12:50
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