Spatial magnetohydrodynamic boundary layer in an incompressible fluid

G. M. Bam-Zelikovich

Abstract
It is shown that if the projection of the electromagnetic force on a direction orthogonal to the streamlines of the external flow is constant across the boundary layer, then in the magnetohydrodynamic boundary layer, secondary flows do not exist (just as in the case of an ordinary boundary layer) when the streamlines of the external flow are geodesics of the surface adjacent to the flow. For small regions in which large forces act, simplified equations for the spatial magnetohydrodynamic boundary layer are obtained, which enable one to reduce the calculation of the flow picture to the integration of the equations of a two-dimensional boundary layer. Examples of flows in spatial magnetohydrodynamic boundary layers are considered.