Formulation of the problem of a viscous boundary layer on a cold electrode

G. A. Lyubimov - I. P. Semenova

Abstract
In papers devoted to the solution of viscous magnetohydrodynamic boundary layer problems at low magnetic Reynolds numbers the equations of the one-dimensional theory are usually used to calculate the core flow [1]. In this case, it is assumed that there is no axial electric field in the flow core. It was shown earlier [2] that, when the electrical conductivity of the medium is constant, the potential variation can be ignored in formulating the problem for the flow core. The present paper is devoted to an estimation of the effect on core flow of an axial electric field formed when the electrode is cold and the dependence of electrical conductivity upon temperature must be taken into account. Figs 3, Refs 2.