Magnetorotational Instability in Electrically Driven Flow of Liquid Metal: Spectral Analysis

Details Magnetorotational Instability in Electrically Driven Flow of Liquid Metal: Spectral Analysis Magnetorotational Instability in Electrically Driven Flow of Liquid Metal: Spectral Analysis

2006-04-09

arxiv.org/abs/astro-ph/0604185v1

Phys.Fluids18:124107,2006

Astronomy and Astrophysics

Astrophysics

20 pages, 15 figures (eps-format)

Scientific paper

10.1063/1.2408513

The spectral stability of liquid metal differentially rotating in transverse magnetic field is studied numerically by solving the eigenvalue problem with rigid-wall boundary conditions. The equilibrium velocity profile used in calculations corresponds to the electrically driven flow in circular channel with the rotation law \Omega(r)~1/r^2. This type of flow profile is planned to be used in new experimental device to test the magnetorotational instability (MRI) in laboratory. Our analysis includes calculations of the eigen-frequency spectra for both axisymmetric and non-axisymmetric modes. It is found that for chosen device parameters the flow is always spectrally unstable due to MRI with the fastest growth rate corresponding to the axisymmetric mode.

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