Non-axisymmetric Magnetorotational Instabilities in Cylindrical Taylor-Couette Flow
Abstract
We study the stability of cylindrical Taylor-Couette flow in the presence of azimuthal magnetic fields, and show that one obtains non-axisymmetric magnetorotational instabilities, having azimuthal wavenumber m=1. For Omegao/Omegai only slightly greater than the Rayleigh value (ri/ro)2, the critical Reynolds and Hartmann numbers are Rec ~ 103 and Hac ~ 102, independent of the magnetic Prandtl number Pm. These values are sufficiently small that it should be possible to obtain these instabilities in the PROMISE experimental facility.
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