Control of Rayleigh-Taylor instability by vertical vibration in large aspect ratio containers

Lapuerta González, María Victoria and Mancebo, Francisco J. and Vega de Prada, José Manuel (2001). Control of Rayleigh-Taylor instability by vertical vibration in large aspect ratio containers. "Physics Letters E", v. 64 (n. 016318); pp. 1-17. ISSN 1063-651X. https://doi.org/10.1103/PhysRevE.64.016318.

Description

Title: Control of Rayleigh-Taylor instability by vertical vibration in large aspect ratio containers
Author/s:
  • Lapuerta González, María Victoria
  • Mancebo, Francisco J.
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: Physics Letters E
Date: July 2001
ISSN: 1063-651X
Volume: 64
Subjects:
Faculty: E.U.I.T. Aeronáutica (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We consider a horizontal heavy fluid layer supported by a light, immiscible one in a wide (as compared to depth) container, which is vertically vibrated intending to counterbalance the Rayleigh-Taylor instability of the flat, rigid-body vibrating state. In the simplest case when the density and viscosity of the lighter fluid are small compared to their counterparts in the heavier fluid, we apply a long wave, weakly nonlinear analysis that yields a generalized Cahn-Hilliard equation for the evolution of the fluid interface. This equation shows that the stabilizing effect of vibration is like that of surface tension, and is used to analyze the linear stability of the flat state, the local bifurcation at the instability threshold and some global existence and stability properties concerning the steady states without dry spots. The analysis is extended to two cases of practical interest. Namely, (a) the viscosity of one of the fluids is much smaller than that of the other one, and (b) the densities and viscosities of both fluids are quite close to each other.

More information

Item ID: 6025
DC Identifier: http://oa.upm.es/6025/
OAI Identifier: oai:oa.upm.es:6025
DOI: 10.1103/PhysRevE.64.016318
Official URL: http://link.aps.org/doi/10.1103/PhysRevE.64.016318
Deposited by: Memoria de Investigacion 2
Deposited on: 16 Feb 2011 10:52
Last Modified: 20 Apr 2016 14:40
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