International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1989 / Article

Open Access

Volume 12 |Article ID 796145 | https://doi.org/10.1155/S0161171289000682

Palani G. Kandaswamy, B. Tamil Selvi, Lokenath Debnath, "Propagation of Rossby waves in stratified shear flows", International Journal of Mathematics and Mathematical Sciences, vol. 12, Article ID 796145, 11 pages, 1989. https://doi.org/10.1155/S0161171289000682

Propagation of Rossby waves in stratified shear flows

Received05 Nov 1987
Revised05 Mar 1988

Abstract

A study is made of the propagation of Rossby waves in a stably stratified shear flows. The wave equation for the Rossby waves is derived in an isothermal atmosphere on a beta plane in the presence of a latitudinally sheared zonal flow. It is shown that the wave equation is singular at five critical levels, but the wave absorption takes place only at the two levels where the local relative frequency equals in magnitude to the Brunt Vaisala frequency. This analysis also reveals that these two levels exhibit valve effect by allowing the waves to penetrate them from one side only. The absorption coefficient exp(2πμ) is determined at these levels. Both the group velocity approach and single wave treatment are employed for the investigation of the problem.

Copyright © 1989 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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