Oblique cross-waves in horizontally vibrated containers

Pérez Gracia, José María and Portter, Jeff and Varas Merida, Fernando and Vega, J. (2014). Oblique cross-waves in horizontally vibrated containers. "Fluid Dynamics Research", v. 46 (n. 4); p. 41410. ISSN 0169-5983. https://doi.org/10.1088/0169-5983/46/4/041410.


Title: Oblique cross-waves in horizontally vibrated containers
  • Pérez Gracia, José María
  • Portter, Jeff
  • Varas Merida, Fernando
  • Vega, J.
Item Type: Article
Título de Revista/Publicación: Fluid Dynamics Research
Date: April 2014
ISSN: 0169-5983
Volume: 46
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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The excitation of subharmonic waves on the free surface of a horizontally vibrated, rectangular container of liquid is considered and the properties of threshold patterns are obtained and discussed. These waves are generally quasiperiodic and oblique (not aligned with the container walls). The parametric forcing mechanism generated by the harmonic oscillatory bulk flow is assumed to dominate over that associated with harmonic surface waves and a linear theory recently developed by the authors [Perez-Gracia et al 2014 J. Fluid Mech. 739 196?228] is used to compute both the threshold forcing amplitude and the pattern orientation. Two distinct regimes are considered: (1) large containers where the subharmonic waves generated at each endwall do not interact appreciably and (2) smaller containers where interaction occurs. The nature of the critical eigenfunction is examined in each case, and a contrast drawn between pure 2:1 resonance and the general case of quasiperiodic instability.

Funding Projects

Government of SpainTRA2010–18054UnspecifiedUnspecifiedModelos reducidos en ingeniería aeronáutica
Government of SpainMTM–2010–21135-C02–02UnspecifiedUnspecifiedModelos, análisis matemáticso y resolución numérica de algunos problemas en ciencias e ingeniería basados en EDPS
Government of SpainAYA2010–19081UnspecifiedUnspecifiedFluidos vibrados en microgravedad

More information

Item ID: 53487
DC Identifier: https://oa.upm.es/53487/
OAI Identifier: oai:oa.upm.es:53487
DOI: 10.1088/0169-5983/46/4/041410
Official URL: http://stacks.iop.org/1873-7005/46/i=4/a=041410
Deposited by: Memoria Investigacion
Deposited on: 19 Feb 2019 11:54
Last Modified: 19 Feb 2019 11:54
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