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Non-linear baroclinic instability of a continuous zonal flow

✍ Scribed by P. G. Drazin


Publisher
John Wiley and Sons
Year
1970
Tongue
English
Weight
588 KB
Volume
96
Category
Article
ISSN
0035-9009

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✦ Synopsis


Abstract

In this theoretical paper, Eady's linear model of baroclinic instability of a zonal basic flow of an inviscid non‐conducting Boussinesq fluid in quasi‐geostrophic motion is extended by consideration of non‐linearity. The method of normal mode cascade is used to find the non‐linear development of a slightly unstable linear disturbance. Amplitude vacillations are found, similar to some observed in experiments on a differentially‐heated rotating annulus. Interactions of the zonal flow and non‐linear waves are described analytically and related to instability of the westerlies in mid‐latitudes.


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