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Updated: Jun 14, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Nonaxisymmetric magnetorotational instabilities in cylindrical Taylor-Couette flow
Rainer Hollerbach1, Vijaya Teeluck, Günther Rüdiger
1Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, United Kingdom.
Abstract:
We study the stability of cylindrical Taylor-Couette flow in the presence of azimuthal magnetic fields, and show that one obtains nonaxisymmetric magnetorotational instabilities, having azimuthal wave number m=1. For Omega{o}/Omega{i} only slightly greater than the Rayleigh value (r{i}/r{o}){2}, the critical Reynolds and Hartmann numbers are Re{c} approximately 10{3} and Ha{c} approximately 10{2}, independent of the magnetic Prandtl number Pm. These values are sufficiently small that it should be possible to obtain these instabilities in the Potsdam Rossendorf Magnetic Instability Experiment.
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