Instabilities of vibroequilibria in rectangular containers

Fernandez Fraile, Jose Javier ORCID:, Tinao Perez-Miravete, Ignacio ORCID:, Porter, Jeffrey Brent ORCID: and Laveron Simavilla, Ana ORCID: (2017). Instabilities of vibroequilibria in rectangular containers. "Physics of Fluids", v. 29 (n. 2); pp.. ISSN 1070-6631.


Title: Instabilities of vibroequilibria in rectangular containers
Item Type: Article
Título de Revista/Publicación: Physics of Fluids
Date: February 2017
ISSN: 1070-6631
Volume: 29
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Matemática Aplicada a la Ingeniería Aeroespacial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Vibroequilibria theory, based on minimizing an averaged energy functional, predicts the quasi-equilibrium shape that a fluid volume will take when subjected to high-frequency vibrations. Here we present a detailed comparison of the predictions of vibroequilibria theory with the results of direct numerical simulations in horizontally vibrated rectangular containers, finding very good agreement over a range of parameters. The calculations also reveal an important difference in the behavior between small and large fluid volumes. With dimensionless volume larger than about 0.36, the symmetric vibroequilibria solution suffers a saddle-node instability prior to contact with the container bottom. This saddle-node bifurcation is analyzed using a simplified family of surfaces and shown to persist when gravity is included. Finally, an investigation of dynamic effects is presented, where a strong correlation is found between modulated subharmonic surface waves and the first odd sloshing mode. At large enough amplitude, this sloshing destroys the underlying vibroequilibria state and thus represents a possible instability for vibroequilibria in low viscosity fluids.

Funding Projects

Government of Spain
Government of Spain

More information

Item ID: 53496
DC Identifier:
OAI Identifier:
DOI: 10.1063/1.4976719
Official URL:
Deposited by: Memoria Investigacion
Deposited on: 04 Feb 2019 12:43
Last Modified: 23 Apr 2019 13:38
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