Abstract
A nongeostrophic version of the classical problem of zonal flow instability with constant shear (the Eady problem) is considered. The linearized set of dynamic equations for two-dimensional disturbances is reduced to a single wave-type second-order equation relative to modified pressure (a linear combination of pressure and stream function). Dynamic features of disturbances with zero potential vorticity are studied in the framework of the equations formulated. Asymptotic solutions of the spectral problem of hydrodynamic stability theory are derived. The initial-value problem at large Richardson numbers is considered using multiple-time-scale expansions. The solution to the problem is represented as the sum of fast (wave) and slow (quasi-geostrophic) components. In the unstable regime, the slow component describes baroclinic waves (cyclones and anticyclones) generated by inhomogeneous initial buoyancy (potential temperature) distributions at the boundaries.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.