Open AccessRadiative instability of a barotropic jet flow in a stratified rotating atmosphere
Author(s) -
М. В. Калашник,
М. В. Калашник
Publication year - 2019
Publication title -
izvestiâ akademii nauk sssr. fizika atmosfery i okeana
Language(s) - English
Resource type - Journals
ISSN - 0002-3515
DOI - 10.31857/s0002-35155533-10
Subject(s) - barotropic fluid , physics , mechanics , instability , atmosphere (unit) , jet (fluid) , flow (mathematics) , classical mechanics , radiative transfer , stratified flow , inertial wave , rossby number , amplitude , piecewise , mathematical analysis , mathematics , meteorology , longitudinal wave , turbulence , optics , wave propagation , mechanical wave
The problem of the stability of a jet flow with a piecewise linear velocity profile in a stratified rotating atmosphere is considered. The linearized system of equations for perturbations is reduced to a single equation with respect to the amplitude of the longitudinal velocity component containing the turning points. In terms of Airy functions, an asymptotic solution of the equation is constructed that is valid for small values of the Rossby number. It is shown that the flow becomes unstable due to radiation of inertial-gravitational waves. An analytical expression is obtained for the growth rate of perturbations.