Magnetorotational Instability in Electrically Driven Flow of Liquid   Metal: Spectral Analysis
  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. 
I. V. Khalzov (1, 2), A. I. Smolyakov (1, 2) and V. I. Ilgisonis (1)   ((1) Russian Research Center "Kurchatov Institute", (...