On the self-similar heat boundary layer problems in magnetohydrodynamics.

V. Kremenetsky

Institute of Physics, University of Latvia, Salaspils-1, LV-2169, Latvia

Abstract
Usually all self-similar heat boundary layer problems in the presence of a magnetic field are solved neglecting the Joule heat created by the current induced in fluid by the interaction of velocity and the magnetic field. However, the analysis of this heat shows that its influence on the temperature field is very important. For vertical flows, it is impossible to find a self-similar solution of the boundary layer problems due to the Joule heat influence on the temperature field. For horizontal flows, only two self-similar boundary layer problems can be formulated: a flow near the critical point in a magnetic field with neutral point, and a flow in a transverse steady magnetic field. Figs 1, Refs 3.