English

Non-axisymmetric Magnetorotational Instabilities in Cylindrical Taylor-Couette Flow

Fluid Dynamics 2010-01-28 v2

Abstract

We study the stability of cylindrical Taylor-Couette flow in the presence of azimuthal magnetic fields, and show that one obtains non-axisymmetric magnetorotational instabilities, having azimuthal wavenumber m=1. For Omega_o/Omega_i only slightly greater than the Rayleigh value (r_i/r_o)^2, the critical Reynolds and Hartmann numbers are Re_c ~ 10^3 and Ha_c ~ 10^2, independent of the magnetic Prandtl number Pm. These values are sufficiently small that it should be possible to obtain these instabilities in the PROMISE experimental facility.

Keywords

Cite

@article{arxiv.0910.0206,
  title  = {Non-axisymmetric Magnetorotational Instabilities in Cylindrical Taylor-Couette Flow},
  author = {Rainer Hollerbach and Vijaya Teeluck and Gunther Rudiger},
  journal= {arXiv preprint arXiv:0910.0206},
  year   = {2010}
}

Comments

final version as accepted by Phys Rev Lett