Abstract
Using the Wentzel–Kramers–Brillouin (WKB) approximation we perform a linear stability analysis for a rotational flow of a viscous and electrically conducting fluid in an external azimuthal magnetic field that has an arbitrary radial profile. In the inductionless approximation, we find the growth rate of the three-dimensional perturbation in a closed form and demonstrate in particular that it can be positive when the velocity profile is Keplerian and the magnetic field profile is slightly shallower than 1/R.
Original language | English |
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Pages (from-to) | 031403 |
Journal | Fluid Dynamics Research |
Volume | 46 |
Issue number | 3 |
DOIs | |
Publication status | Published - 27 May 2014 |