Instabilities of rotational flows in azimuthal magnetic fields of arbitrary radial dependence
Instabilities of rotational flows in azimuthal magnetic fields of arbitrary radial dependence
Kirillov, O.; Stefani, F.; Fukumoto, Y.
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 Bφ(R). 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.
Keywords: Asymptotic methods; stability; magnetohydrodynamics; magnetorotational instability; azimuthal field
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Fluid Dynamics Research 46(2014)3, 031403
DOI: 10.1088/0169-5983/46/3/031403
ISSN: 0169-5983
Cited 5 times in Scopus
Permalink: https://www.hzdr.de/publications/Publ-20441