Observatorio de I+D+i UPM

Memorias de investigación
Thesis:
Pattern Formation of Parametrically Driven Surface Waves Induced by Vibration
Year:2016
Research Areas
  • Aeronautical engineering
Information
Abstract
This thesis focus on the generation of subharmonic surface waves on fluids subject to forced vibration in the gravity-capillary regime with liquids of small viscosity. Three different problems have been considered: a rectangular container under horizontal vibration; the same geometry but under a combination of horizontal and vertical vibration; and a fully submerged vertically vibrated obstacle in a large container. An amplitude equation is derived from first principles that fairly precisely describes the subharmonic surfaces waves parametrically driven by vibration. That equation is two dimensional while the underlying problem is three-dimensional and permits spatially nonuniform forcing. Using this equation, the three systems have been analyzed, focusing on the calculation of the threshold amplitude, the pattern orientation, and the temporal character of the spatio-temporal patterns, which can be either strictly subharmonic or quasi-periodic, showing an additional modulation frequency. Dependence on the non-dimensional parameters is also considered. The theory is compared with the experiments available in the literature.
International
No
Type
Doctoral
Mark Rating
Sobresaliente cum laude
Date
08/01/2016
Participants
  • Autor: Jose Miguel Perez de Gracia Delgado (UPM)
  • Director: Jose Manuel Vega De Prada (UPM)
  • Director: Fernando Varas Merida (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Dinámica y estabilidad no lineal en ingeniería aeroespacial
  • Departamento: Matemática Aplicada a la Ingeniería Aeroespacial
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