Instabilities of rotational flows in azimuthal magnetic fields of arbitrary radial dependence

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 grow...

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Bibliographic Details
Published in:Fluid dynamics research 2014-06, Vol.46 (3), p.1-14
Main Authors: Kirillov, Oleg N, Stefani, Frank, Fukumoto, Yasuhide
Format: Article
Language:English
Subjects:
Approximation
Conducting fluids
Exact solutions
Magnetic fields
Mathematical analysis
Perturbation methods
Rotational
Three dimensional
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Summary: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 R−1.
ISSN:0169-5983
1873-7005
DOI:10.1088/0169-5983/46/3/031403