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

Oleg N. 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 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.

Original languageEnglish
Article number031403
JournalFluid Dynamics Research
Volume46
Issue number3
DOIs
Publication statusPublished - Jun 2014

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

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