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contributor authorMiller, Timothy L.
contributor authorGall, Robert L.
date accessioned2017-06-09T14:24:10Z
date available2017-06-09T14:24:10Z
date copyright1983/09/01
date issued1983
identifier issn0022-4928
identifier otherams-18657.pdf
identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4154686
description abstractA rotating cylindrical annulus of an incompressible fluid with horizontal density gradients is studied by the use of numerical models. Steady axisymmetric states are calculated using the full Navier-Stokes equations for a broad range of thermal Rossby number (Ror) and Taylor number (Ta). These states are tested for stability to nonaxisymmetric perturbations by the use of a model based upon the linearized hydrostatic primitive equations. The results include a prediction of the transition curve, the curve separating axisymmetric flow and nonaxisymmetric flow. This predicted curve is very close to that observed in the laboratory. The structure and energetics of the fastest growing eigenmodes are examined. It is found that the structure of the linear wave, for one point in the nonaxisymmetric regime, has only small differences from the nonlinear wave calculated by Williams. The structures of the waves at this and other points are similar to the classic Eady wave, except near the extreme lower part of the transition curve. There, the waves have little structure with height, and the present models fail to predict the cutoff of nonaxisymmetric flow, probably due to the assumption that the upper surface is flat. In all regions in parameter space, the eddy kinetic energy generation was found to be baroclinic in nature. Large static stability of the basic state is important in suppressing the generation of eddy potential energy near the upper part of the transition curve but not near the lower part, in agreement with previous theoretical results. Dissipation of the eddies is important near all boundaries.
publisherAmerican Meteorological Society
titleA Linear Analysis of the Transition Curve for the Baroclinic Annulus
typeJournal Paper
journal volume40
journal issue9
journal titleJournal of the Atmospheric Sciences
identifier doi10.1175/1520-0469(1983)040<2293:ALAOTT>2.0.CO;2
journal fristpage2293
journal lastpage2303
treeJournal of the Atmospheric Sciences:;1983:;Volume( 040 ):;issue: 009
contenttypeFulltext


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