Counter-propagating Rossby waves in the barotropic Rayleigh model of shearinstability

Wave development, using Rayleigh's 1880 model of barotropic, inviscid and i ncompressible flow, with a mean zonal wind which is linearly sheared betwee n two edges, is described in terms of the interaction between two counter-p ropagating Rossby waves (CRWs). Although the solutions described by this ap proach could also be described by a sum of the normal modes originally obta ined by Rayleigh, we offer a CRW description of Rayleigh's model because it provides a useful pedagogical framework for illustrating, in a precise and quantifiable manner, the interacting Rossby wave view of instability. A CR W interpretation of a modified Version of the Rayleigh model, consisting of a jet-like flow featuring two strips of vorticity with opposite signs, is also given.