Developed flow of a thin liquid metal layer in an inclined magnetic field

V. M. Kudrin - S. Yu. Smolentsev - A. V. Tananaev

Abstract
Using the finite difference method, calculations were performed of a fully developed liquid metal film flow in a trough in a magnetic field inclined with respect to the liquid level. The trough's side walls and bottom have arbitrary electrical conductivities. We employed the alternating direction implicit scheme with successive relaxation. We implemented a coordinate substitution designed to concentrate the grid nodes within the shear layers. The flow pecularities caused by the changes in the film thickness, the side wall conductivities, as well as in the magnetic field direction angle are discussed. It has been found that even at small field inclination angles, considerable flow asymmetry can occur, and that even at large Hartmann number, the velocity distribution in the direction of the co-planar field components is not always a Hartmannian one.