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Two-dimensional instabilities of steady double-diffusive interleaving

Published online by Cambridge University Press:  26 April 2006

Oliver S. Kerr
Oliver S. Kerr
Affiliation:
School of Mathematics, University of Bristol, Bristol BS8 1TW, UK
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Abstract

The stability of finite-amplitude double–diffusive interleaving driven by linear gradients of salinity and temperature is considered. We show that as the sinusoidal interleaving predicted by linear analysis grows to finite amplitude it is subject to instabilities centred along the lines of minimum vertical density gradient and maximum shear. These secondary instabilities could lead to the step-like density profiles observed in experiments. We show that these instabilities can occur for large Richardson numbers and hence are not driven by shear, but are driven, by double-diffusive effects.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 242 , September 1992 , pp. 99 - 116
Copyright
© 1992 Cambridge University Press

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