Title

Propagation Of Rossby Waves In Stratified Shear Flows

Keywords

critical levels; Rossby Waves; singularities of the wave equation; valve effect; wave action flux

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. © 1989, Hindawi Publishing Corporation. All rights reserved.

Publication Date

1-1-1989

Publication Title

International Journal of Mathematics and Mathematical Sciences

Volume

12

Issue

3

Number of Pages

547-557

Document Type

Article

Identifier

scopus

DOI Link

https://doi.org/10.1155/S0161171289000682

Socpus ID

84958299927 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84958299927

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