(1) Forschungszentrum Rossendorf, P.O. Box 51 01 19, D-01314 Dresden, Germany;(2) Institute of Physics, University of Latvia, Salaspils 1, LV-2169, Latvia;(3) Hamburg Ship Model Basin, Bramfelder Str.~164, D-22305 Hamburg, Germany
Abstract:
We investigate the fully developed flow in a fluid-saturated porous medium channel with an electrically conducting fluid under
the action of a parallel Lorentz force. The Lorentz force varies exponentially in the vertical direction due to low fluid
electrical conductivity and the special arrangement of the magnetic and electric fields at the lower plate. Exact analytical
solutions are derived for fluid velocity and the results are presented in figures. All these flows are new and are presented
for the first time in the literature.