Planetary Waves in Horizontal and Vertical Shear: The Generalized Eliassen-Palm Relation and the Mean Zonal Acceleration.

Details Planetary Waves in Horizontal and Vertical Shear: The Generalized Eliassen-Palm Relation and the Mean Zonal Acceleration. Planetary Waves in Horizontal and Vertical Shear: The Generalized Eliassen-Palm Relation and the Mean Zonal Acceleration.

Nov 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976jats...33.2031a&link_type=abstract

Journal of Atmospheric Sciences, vol. 33, Issue 11, pp.2031-2048

Physics

220

Scientific paper

Using a new generalization of the Eliassen-Palm relations, we discuss the zonal-mean-flow tendency /t due to waves in a stratified, rotating atmosphere, with particular attention to equatorially trapped modes. Wave transience, forcing and dissipation are taken into account in a very general way. The theory makes it possible to discuss the latitudinal (y) and vertical (z) dependence of /t qualitatively and calculate it directly from an approximate knowledge of the wave structure. For equatorial modes it reveals that the y profile of /t is strongly dependent on the nature of the forcing or dissipation mechanism. A by-product of the theory is a far-reaching generalization of the theorems of Charney-Drazin, Dickinson and Holton on the forcing of /t by conservative linear waves.Implications for the quasi-biennial oscillation in the equatorial stratosphere are discussed. Graphs of y profiles of /t are given for the equatorial waves considered in the recent analysis of observational data by Lindzen and Tsay (1975). The y profile of uI t for Rossby-gravity and inertio-gravity modes, in Lindzen and Tsay's parameter ranges, prove extremely sensitive to whether or not small amounts of mechanical dissipation are present alongside the radiative-photochemical dissipation of the waves. The probable importance of low-frequency Rossby waves for the momentum budget of the descending easterlies is suggested.

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