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Three-dimensional baroclinic instability of a Hadley cell for small Richardson numberA three-dimensional, linear stability analysis of a baroclinic flow for Richardson number, Ri, of order unity is presented. The model considered is a thin horizontal, rotating fluid layer which is subjected to horizontal and vertical temperature gradients. The basic state is a Hadley cell which is a solution of the complete set of governing, nonlinear equations and contains both Ekman and thermal boundary layers adjacent to the rigid boundaries; it is given in a closed form. The stability analysis is also based on the complete set of equations; and perturbation possessing zonal, meridional, and vertical structures were considered. Numerical methods were developed for the stability problem which results in a stiff, eighth-order, ordinary differential eigenvalue problem. The previous work on three-dimensional baroclinic instability for small Ri was extended to a more realistic model involving the Prandtl number, sigma, and the Ekman number, E, and to finite growth rates and a wider range of the zonal wavenumber.
Document ID
19850012295
Acquisition Source
Legacy CDMS
Document Type
Technical Publication (TP)
Authors
Antar, B. N. (NASA Marshall Space Flight Center Huntsville, AL, United States)
Fowlis, W. W. (NASA Marshall Space Flight Center Huntsville, AL, United States)
Date Acquired
September 5, 2013
Publication Date
March 1, 1985
Subject Category
Meteorology And Climatology
Report/Patent Number
NASA-TP-2450
NAS 1.60:2450
Accession Number
85N20605
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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