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Instabilities of Taylor columns in a rotating stratified fluid Export

Physics Letters A, Vol. 373, No. 41. (05 October 2009), pp. 3775-3778.

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fluids instabilities rotation stratification

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We numerically solve for the flow in a differentially rotating spherical shell, with a stable stratification imposed along the rotation axis. The axisymmetric basic state evolves from a Stewartson layer in the unstratified limit to a Taylor column in the strongly stratified limit. For the Taylor columns, we next compute the linear onset of non-axisymmetric instabilities, and show that small (0.1) and large (10) Prandtl numbers yield very different results. For Pr =10 , positive and negative differential rotations also yield fundamentally different instabilities.


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