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

Oleg Kirillov, Frank Stefani, Yasuhide Fukumoto

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

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 languageEnglish
Pages (from-to)031403
JournalFluid Dynamics Research
Volume46
Issue number3
DOIs
Publication statusPublished - 27 May 2014

Fingerprint Dive into the research topics of 'Instabilities of rotational flows in azimuthal magnetic fields of arbitrary radial dependence'. Together they form a unique fingerprint.

Cite this