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Oblique cross waves in horizontally vibrated container
Áreas de investigación
  • Física química y matemáticas
The behaviour of vibrated fuids is of great interest in a variety of fields and can be very complex. The simplest and most studied configuration is that of a container of fluid vibrated vertically because the basic (unexcited) state is quiescent in the reference frame of the moving container. Horizontally vibrated fluids are generally less straightforward to treat and have received less attention, especially in the limit in which the vibrating frequency is large compared to that of the first capillarity-gravity sloshing mode. Horizontal vibrations directly force harmonic waves and, beyond a critical acceleration, can also excite subharmonic cross-waves, which can be analyzed by semi-analytic means in the small viscosity limit. In this limit, the vibrating end-walls produce a (harmonic) oscillatory bulk flow, which is slowly varying in space and extends over a distance comparable to the container depth. It is this oscillatory bulk flow that triggers the cross-waves (as the forcing amplitude exceeds a threshold value) by a mechanism analogous to that responsible for Faraday waves in vertically vibrated containers; the main difference is that the oscillatory pressure field is not uniform but dependent on distance from the end-walls. The resulting cross-waves are not perpendicular to the vibrating end-walls, as standard cross-waves produced by partially immersed wave makers typically are. A linear theory will be presented to calculate the threshold amplitude, which compares well with experimentally measured thresholds. As a result of this, we obtain a general linear amplitude equation that governs pattern selection in containers of arbitrary cross-section.
Nombre congreso
Bifurcations and instabilities in fluid dynamics, Fifth International Symposium
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Título de las actas
Special issue: Bifurcations in fluid dynamics. Selected papers from the BIFD2013 Conference
Esta actividad pertenece a memorias de investigación
  • Autor: Jose Miguel Perez de Gracia Delgado (UPM)
  • Autor: Fernando Varas Merida (UPM)
  • Autor: Jose Manuel Vega De Prada (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Dinámica y estabilidad no lineal en ingeniería aeroespacial
  • Departamento: Fundamentos Matemáticos de la Tecnología Aeronáutica
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