The effect of quickly rotating magnetic field on the instability of rolls in a horizontal layer of fluid with stress­free

E. S. Sadilov

Institute of Continuous Media Mechanics, 1 Koroleva str., Perm, Russia

Abstract
The influence of a quickly rotating magnetic field on the stability of rolls in a horizontal layer of an electrically conducting fluid with stress-free boundaries is studied using a multi-scale method. The dependence of the critical Prandtl number on the Hartmann number is determined. The Hartmann number increases the critical Prandtl number for some instabilities. Figs 3, Refs 10.