Baroclinic instability of quasi-geostrophic flows localized in a thin layer

This paper examines the baroclinic instability of a quasi-geostrophic flow with vertical shear in a continuously stratified fluid. The flow and density stratification are both localized in a thin upper layer. (i) Disturbances whose wavelength is much smaller than the deformation radius (based on the...

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Bibliographic Details
Published in:Journal of Fluid Mechanics
Main Author: Benilov, ES
Format: Article in Journal/Newspaper
Language:English
Published: Cambridge Univ Press 1995
Subjects:
Online Access:https://doi.org/10.1017/S002211209500111X
http://ecite.utas.edu.au/3520
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Summary:This paper examines the baroclinic instability of a quasi-geostrophic flow with vertical shear in a continuously stratified fluid. The flow and density stratification are both localized in a thin upper layer. (i) Disturbances whose wavelength is much smaller than the deformation radius (based on the depth of the upper layer) are demonstrated to satisfy an equivalent two-layer model with properly chosen parameters. (ii) For disturbances whose wavelength is of the order of, or greater than, the deformation radius we derive a sufficient stability criterion. The above analysis is applied to the subtropical and subarctic frontal currents in the Northern Pacific. The effective time of growth of disturbances (i) is found to be 1622 days, the characteristic spatial scale is 130150 km. 1995, Cambridge University Press. All rights reserved.