Mathematical modeling of the 2D MHD flow around infinite cylinders with square-section placed periodically

H. Kalis - M. Marinaki - A. Gedroics

Departament of Physics and Mathematics, University of Latvia, 8 Zellu street, Rīga LV-1002, Latvia

Abstract
In many technological applications it is important to stir an electrically conducting liquid using various magnetic fields. The viscous electrically conducting incompressible liquid moves between infinite cylinders of square section placed periodically. We analyze a 2D flow around these cylinders subject to an external uniform magnetic field. The distribution of electromagnetic fields, forces and velocity fields around the cylinders has been calculated. The 2D magnetohydrodynamic flow in the plane of the cylinders' cross-section is calculated using the finite difference method. Tables 4, Figs 14, Refs 10.