Some stability properties of largescale baroclinic flows with nonlinear zonal current profile
Abstract
The stability properties of a baroclinic zonal current with a 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 complex c plane, and the upper bound of the unstablewave growth rate are found. Some differences in the results are noted between the present model and the quasigeostrophic streamfunction model, particularly in connection with the effect of the velocityprofile curvature term Uzz. It is conjectured in the present model that, depending on the extreme behavior of Uzz, the propagation speed of unstable waves can be greater than the maximum flow velocity or smaller than the minimum flow velocity.
 Publication:

Oceanographical Society of Japan Journal
 Pub Date:
 April 1977
 Bibcode:
 1977OSJaJ..33...55H
 Keywords:

 Baroclinity;
 Flow Stability;
 Flow Velocity;
 Stratified Flow;
 Velocity Distribution;
 Richardson Number;
 Rossby Regimes;
 Stream Functions (Fluids);
 Wave Propagation