Stratorotational instability in MHD Taylor-Couette flows

Abstract

The stability of dissipative Taylor-Couette flows with an axial stable density stratification and a prescribed azimuthal magnetic field is considered. Global nonaxisymmetric solutions of the linearized MHD equations with toroidal magnetic field, axial density stratification and differential rotation are found for both insulating and conducting cylinder walls. Flat rotation laws such as the quasi-Kepler law are unstable against the nonaxisymmetric stratorotational instability (SRI). The influence of a current-free toroidal magnetic field depends on the magnetic Prandtl number Pm: SRI is supported by Pm > 1 and it is suppressed by Pm \lsim 1. For too flat rotation laws a smooth transition exists to the instability which the toroidal magnetic field produces in combination with the differential rotation. This nonaxisymmetric azimuthal magnetorotational instability (AMRI) has been computed under the presence of an axial density gradient. If the magnetic field between the cylinders is not current-free then also the Tayler instability occurs and the transition from the hydrodynamic SRI to the magnetic Tayler instability proves to be rather complex. Most spectacular is the `ballooning' of the stability domain by the density stratification: already a rather small rotation stabilizes magnetic fields against the Tayler instability. An azimuthal component of the resulting electromotive force only exists for density-stratified flows. The related alpha-effect for magnetic SRI of Kepler rotation appears to be positive for negative dρ/dz <0.

10 pages, 13 figures, submitted to Astron. Astrophys

References in corpus (7)

• An hydrodynamic shear instability in stratified disks
• Experimental analysis of the Strato-rotational Instability in a cylindrical Couette flow
• Stability of density-stratified viscous Taylor-Couette flows
• Destabilisation of hydrodynamically stable rotation laws by azimuthal magnetic fields
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Cited by in corpus (3)

• Connections between centrifugal, stratorotational and radiative instabilities in viscous Taylor-Couette flow
• The stratorotational instability of Taylor-Couette flows of moderate Reynolds numbers
• Centrifugal instability of Taylor-Couette flow in stratified and diffusive fluids