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Editorial Type:
Article
Article Type:
Research Article

Baroclinic Instability of the Zonal Wind: Part III

John W. Miles1
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  • 1 Institute of Advanced Studies, Australian National University, Canberra, Australia
Print Publication:
01 Nov 1964
DOI:
https://doi.org/10.1175/1520-0469(1964)021<0603:BIOTZW>2.0.CO;2
Page(s):
603–609
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Abstract

A zonal-wind configuration in which wind speed is proportional to pressure-altitude and stability is proportional to the square of the density is posed. A solution to the eigenvalue problem governing the stability of this configuration with respect to small disturbances is obtained in terms of hypergeometric functions. It is proved that one and only one (exponentially) unstable mode exists for each point in a wavelength, wind-shear plane.

Abstract

A zonal-wind configuration in which wind speed is proportional to pressure-altitude and stability is proportional to the square of the density is posed. A solution to the eigenvalue problem governing the stability of this configuration with respect to small disturbances is obtained in terms of hypergeometric functions. It is proved that one and only one (exponentially) unstable mode exists for each point in a wavelength, wind-shear plane.

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