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Generalized energetics for inertially stable parallel shear flows

Published online by Cambridge University Press:  07 August 2007

R. C. KLOOSTERZIEL  and
G. F. CARNEVALE
R. C. KLOOSTERZIEL
Affiliation:
School of Ocean & Earth Science & Technology, University of Hawaii, Honolulu, HI 96822, USA
G. F. CARNEVALE
Affiliation:
Scripps Institution of Oceanography, University of California, San Diego, La Jolla, CA 92093, USA
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Abstract

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.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 585 , 25 August 2007 , pp. 117 - 126
Copyright
Copyright © Cambridge University Press 2007

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