Abstract
Three sufficient conditions for stability are established for a general class of rotating flows with the velocity and the density distribution varying in both the axial and radial directions. Two are the classical Richardson criteria in the axial and radial directions. The third, measured by a newly defined Richardson number, acts as a constraint on the other two. The newly defined Richardson number is a ratio between the interaction of the density variations with the force fields and the interaction of the velocity gradients in two directions. The former interaction is a result of the pressure restraint condition and is measured by a new Brunt–Väisälä frequency. The latter interaction determines whether the velocity gradients in the second direction strengthen or weaken the resultant shear effect. Because of the generality of the flow profiles being considered, the criteria established in this investigation are valid for a wide range of problems in oceanographic and atmospheric studies.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
