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Experimental and numerical study of miscible Faraday instability

Published online by Cambridge University Press:  01 June 2009

F. ZOUESHTIAGH ,
S. AMIROUDINE  and
R. NARAYANAN
F. ZOUESHTIAGH*
Affiliation:
Institut d'Electronique, de Microélectronique et de Nanotechnologie UMR CNRS 8520, Avenue Poincaré, 59652 Villeneuve d'Ascq, France
S. AMIROUDINE
Affiliation:
LPMI-Arts et Métiers ParisTech., 2 Bd du Ronceray, BP 93525, 49035 Angers, France
R. NARAYANAN
Affiliation:
University of Florida, Department of Chemical Engineering, Gainesville, FL 32611-6005, USA
*
†Email address for correspondence: [email protected]
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Abstract

A study of the Faraday instability of diffuse interfaces between pairs of miscible liquids of different densities, by means of experiments and by a nonlinear numerical model, is presented. The experimental set-up consisted of a rectangular cell in which the lighter liquid was placed above the denser one. The cell in this initially stable configuration was then subjected to vertical vibrations. The subsequent behaviour of the ‘interface’ between the two liquids was observed with a high-speed camera. This study shows that above a certain acceleration threshold an instability developed at the interface. The amplitude of the instability grew during the experiments which then led to the mixing of the liquids. The instability finally disappeared once the two liquids were fully mixed over a volume, considerably larger than the initial diffuse region. The results of a companion two-dimensional nonlinear numerical model that employs a finite volume method show very good agreement with the experiments. A physical explanation of the instability and the observations are advanced.

JFM classification

Instability: Instability Waves/Free-surface Flows: Faraday waves Mixing: Mixing
Type
Papers
Information
Journal of Fluid Mechanics , Volume 628 , 10 June 2009 , pp. 43 - 55
Copyright
Copyright © Cambridge University Press 2009

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References

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Zoueshtiagh et al. supplementary movie

Movie 1. Faraday instability between miscible fluids. Experimental parameters are: A=3 cm, f=4 Hz, t0= 5 min.

Download Zoueshtiagh et al. supplementary movie(Video)
Video 8.1 MB

Zoueshtiagh et al. supplementary movie

Movie 2. Faraday instability between miscible fluids. Experimental parameters are: A=1 cm, f=8 Hz, t0= 5 min.

Download Zoueshtiagh et al. supplementary movie(Video)
Video 10.1 MB