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On the available energy density for axisymmetric motions of a compressible stratified fluid

Published online by Cambridge University Press:  15 November 2006

DAVID G. ANDREWS
DAVID G. ANDREWS
Affiliation:
Atmospheric, Oceanic and Planetary Physics, Department of Physics, Oxford OX1 3PU, UK andrews@atm.ox.ac.uk
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Abstract

An exact, local expression is obtained for the available energy density for axisymmetric motion of a compressible, stratified fluid. Under certain stated conditions the available energy density is positive definite; this fact can be used to demonstrate the stability of an appropriately defined reference state to finite-amplitude axisymmetric disturbances. The theory extends certain previous results on available energy and axisymmetric stability that are valid only for small-amplitude disturbances.

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 569 , 25 December 2006 , pp. 481 - 492
Copyright
© 2006 Cambridge University Press

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