Generalized energetics for inertially stable parallel shear flows

For simple parallel shear flows on the f-plane and the equatorial β-plane we derive an energy norm for zonally invariant perturbations. It is used to derive the linear stability boundary for when these flows are inertially stable in the classical sense but may be destabilized due to unequal rates of...

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Bibliographic Details
Published in:Journal of fluid mechanics 2007-08, Vol.585, p.117-126
Main Authors: KLOOSTERZIEL, R. C., CARNEVALE, G. F.
Format: Article
Language:English
Subjects:
Dynamics of the ocean (upper and deep oceans)
Earth, ocean, space
Exact sciences and technology
External geophysics
Fluid mechanics
Fluids
General circulation. Atmospheric waves
Geophysics. Techniques, methods, instrumentation and models
Mechanics
Meteorology
Physics of the oceans
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Summary:For simple parallel shear flows on the f-plane and the equatorial β-plane we derive an energy norm for zonally invariant perturbations. It is used to derive the linear stability boundary for when these flows are inertially stable in the classical sense but may be destabilized due to unequal rates of diffusion of momentum and heat. The analysis is valid when there are arbitrary, zonally invariant, no-slip boundaries which are perfect thermal conductors.
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112007006933