WKB thresholds of standard, helical, and azimuthal magnetorotational instability

Kirillov, Oleg and Stefani, Frank (2012) WKB thresholds of standard, helical, and azimuthal magnetorotational instability. Proceedings of the International Astronomical Union, 8 (S290). pp. 233-234. ISSN 1743-9213

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Official URL: http://dx.doi.org/10.1017/S1743921312019771

Abstract

We consider rotating flows of an electrically conducting, viscous and resistive fluid in an external magnetic field with arbitrary combinations of axial and azimuthal components. Within the short-wavelength approximation, the local stability of the flow is studied with respect to perturbations of arbitrary azimuthal wavenumbers. In the limit of vanishing magnetic Prandtl number (Pm) we find that the maximum critical Rossby number (Ro) for the occurrence of the magnetorotational instability (MRI) is universally governed by the Liu limit which is below the value for Keplerian rotation

Item Type: Article
Uncontrolled Keywords: Magnetorotational instability, WKB approximation, accretion disks
Subjects: F300 Physics
F500 Astronomy
Department: Faculties > Engineering and Environment > Mathematics and Information Sciences
Depositing User: Oleg Kirillov
Date Deposited: 10 Jan 2017 09:41
Last Modified: 11 Jan 2017 09:43
URI: http://nrl.northumbria.ac.uk/id/eprint/29039

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