Instabilities in magnetized spherical Couette flow
arXiv:1106.0319 · doi:10.1103/PhysRevE.84.026308
Abstract
We report 3D numerical simulations of the flow of an electrically conducting fluid in a spherical shell when a magnetic field is applied. Different spherical Couette configurations are investigated, by varying the rotation ratio between the inner and the outer sphere, the geometry of the imposed field, and the magnetic boundary conditions on the inner sphere. Either a Stewartson layer or a Shercliff layer, accompanied by a radial jet, can be generated depending on the rotation speeds and the magnetic field strength, and various non-axisymmetric destabilizations of the flow are observed. We show that instabilities arising from the presence of boundaries present striking similarities with the magnetorotational instability (MRI). To this end, we compare our numerical results to experimental observations of the Maryland experiment, who claimed to observe MRI in a similar setup.
11 pages, 12 figures
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- Observation of axisymmetric standard magnetorotational instability in the laboratory
- The role of boundaries in the MagnetoRotational Instability
- Magneto--Coriolis waves in a spherical Couette flow experiment
- Identification of a non-axisymmetric mode in laboratory experiments searching for standard magnetorotational instability
- Taylor-Couette flow for astrophysical purposes
- Weakly magnetized, Hall dominated plasma Couette flow
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- Chaotic wave dynamics in weakly magnetised spherical Couette flows
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- Four-frequency solution in a magnetohydrodynamic Couette flow as a consequence of azimuthal symmetry breaking
- On the saturation of non-axisymmetric instabilites of magnetized spherical Couette flow
- Long term time dependent frequency analysis of chaotic waves in the weakly magnetized spherical Couette system
- Differential rotation in neutron stars with open and closed magnetic topologies
- High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows
- Shercliff layers in strongly magnetic cylindrical Taylor-Couette flow
- Laboratory modeling of MHD accretion disks
- Transitions in a magnetized quasi-laminar spherical Couette Flow
- Laboratory experiments and numerical simulations on magnetic instabilities