Some stability properties of large-scale baroclinic flows with nonlinear zonal current profile |
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| Authors: | Jae Min Hyun |
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| Institution: | (1) Korea Research Institute of Ship and Ocean, Korea Institute of Science and Technology, Dong Dae Mun, P.O. Box 131, Seoul, Korea;(2) Present address: Dept. of Physics and Atmospheric Science, Drexel Univ., 19104 Philadelphia, Pennsylvania, USA |
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| Abstract: | The stability properties of a baroclinic zonal current with nonlinear velocity profile are investigated. The integral method is applied to the governing eigenvalue equation having the vertical velocity as the dependent variable. Expressed in terms of the Rossby number and the Richardson number, stability criteria, unstable regions in the complexc plane, and the upper bound of the unstable wave growth rate are found. Some differences in the results are noted between the present model and the quasi-geostrophic streamfunction model, particularly in connection with the effect of the velocity profile curvature termU
zz
. It is conjectured in the present model that, depending on extreme behaviors ofU
zz
, the propagation speed of unstable waves can be greater thanU
max
or smaller thanU
min
. |
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| Keywords: | |
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