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The effect of vibrations on sideways double-diffusive instabilities: strong stratification asymptotics

Published online by Cambridge University Press:  19 July 2006

OLIVER S. KERR  and
ABDELFATTAH ZEBIB
OLIVER S. KERR
Affiliation:
Centre for Mathematical Science, City University, Northampton Square, London EC1V 0HB, UK
ABDELFATTAH ZEBIB
Affiliation:
Mechanical and Aerospace Engineering, Rutgers University, Piscataway, NJ 08854-8058, USA
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Abstract

A body of salt-stratified fluid in a vertical slot can undergo double-diffusive instabilities when laterally heated. A previous study has indicated the possibility that vibrations could induce instabilities in the cases of a strong salinity gradient in regimes that are not only linearly stable, but also nonlinearly stable. We investigate this limit using the method of averaging and confirm that any level of high-frequency vibrations will lead to a reduction in the heating required for instability for a sufficiently strong salinity gradient, but that this is probably not of great importance to terrestrial experimenters.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 559 , 25 July 2006 , pp. 299 - 306
Copyright
© 2006 Cambridge University Press

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