Instabilities of Taylor columns in a rotating stratified fluid |
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Authors: | Rainer Hollerbach |
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Affiliation: | Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, United Kingdom |
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Abstract: | 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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