Email this article Radiative Instability of a Barotropic Jet Flow in a Rotating Stratified Atmosphere
- Authors: Kalashnik M.V.1,2
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Affiliations:
- Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences
- Schmidt Institute of Physics of the Earth, Russian Academy of Sciences
- Issue: Vol 55, No 3 (2019)
- Pages: 229-234
- Section: Article
- URL: https://journals.rcsi.science/0001-4338/article/view/148709
- DOI: https://doi.org/10.1134/S0001433819030022
- ID: 148709
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Abstract
This paper investigates the stability of a jet flow with a piecewise linear velocity profile in a rotating stratified atmosphere. The linearized set of perturbation equations is reduced to one longitudinal-velocity amplitude equation with turning points. An asymptotic solution of the equation, valid at small Rossby numbers, is derived in terms of the Airy functions. A flow that is stable in a quasi-geostrophic approximation is shown to become unstable due to the emission of inertia–gravity waves. An analytic expression for the growth increment of the perturbations is derived.
About the authors
M. V. Kalashnik
Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences; Schmidt Institute of Physics of the Earth, Russian Academy of Sciences
Author for correspondence.
Email: kalashnik-obn@mail.ru
Russian Federation, Moscow, 109017; Moscow, 123242
