Thermal instabilities in rapidly rotating systems

F. H. Busse

doi:10.1017/s0022112070001921

Thermal instabilities in rapidly rotating systems

DOI Web Site 被引用文献24件

F. H. Busse

書誌事項

公開日: 1970-11-26

権利情報

https://www.cambridge.org/core/terms

DOI

10.1017/s0022112070001921

公開者: Cambridge University Press (CUP)

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説明

<jats:p>Thermal instabilities of a contained fluid are investigated for a fairly general class of problems in which the dynamics are dominated by the effects of rotation. In systems of constant depth in the direction of the axis of rotation the instability develops when the buoyancy forces suffice to overcome the stabilizing effects of thermal conduction and of viscous dissipation in the Ekman boundary layers. Owing to the Taylor–Proudman theorem, a slight gradient in depth exerts a strongly stabilizing influence. The theory is applied to describe the instability of the ‘lower symmetric régime’ in the rotating annulus experiments at high rotation rates. An example of geophysical relevance is the instability of a self-gravitating, internally heated, rotating fluid sphere. The results of the perturbation theory for this problem agree reasonably well with the results of an extension of the analysis by Roberts (1968).</jats:p>