Electronic edition ISSN 1574-0579

Electrically driven plane free shear flows in a duct under transverse uniform magnetic field parallel to walls with current sources

Yu. Kolesnikov¹ , H. Kalis²

¹ Institute of Thermodynamics and Fluid Mechanics, Ilmenau University of Technology, Ilmenau 98693, Germany
² Institute of Mathematics and Computer Science, University of Latvia, Riga LV-1586, Latvia

Abstract
A mathematical model of electrically driven laminar free shear flows in a straight duct under the action of a horizontal transverse magnetic field is investigated. Depending on the direction of the electric current supplied to two pairs of electrodes located on the upper and lower walls, either two adjacent oppositely directed jet flows or four pairwise adjacent opposite jet flows are excited. A system of stationary partial differential equations with two unknown functions of velocity and induced magnetic field is solved analytically by the Fourier method and numerically using MATLAB. An increase in the applied magnetic field leads to essential internal restructuring of the flows. The Hartmann number Ha varies from 1 to 10, at which MHD effects are already quite clearly manifested. Figs 16, Refs 15.