Taylor‐Couette flow with an imposed magnetic field — linear and nonlinear results
- Conference date: 29 February-2 March 2004
- Location: Acitrezza, Catania (Italy)
Using numerical simulations we investigate the (in)‐stability and saturation behaviour of moderately compressible, cylindrical Taylor‐Couette flow in the presence of a uniform axial magnetic field. For Rayleigh‐stable configurations, we find magnetically induced Taylor vortices as predicted by linear theory, with both axisymmetric and non‐axisymmetric solutions, depending on the Hartmann number.
The flow shows clear indications of the magneto‐rotational instability which is well‐known from numerical simulations in accretion disc geometry. In the saturated state, the structure of the flow and the magnetic field can be very different from the linear phase of the instability.
- Flow instabilities
- Magnetic fields
- Compressible flows
- Number theory
- Numerical solutions
- Rotating flows
- Saturation moments
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