Mathematical modelling of 2D magnetohydrodynamic flow %between two coaxial cylinders in an external magnetic field

A. Gedroics - H. Kalis

Institute of Mathematics and Informatics, University of Latvia, 29 Raina bulv., Riga, LV-1459, Latvia

Abstract
A viscous electrically conducting incompressible liquid is located between two infinite coaxial cylinders (rings), surfaces of which can rotate with different angular velocities. External magnetic fields (homogeneous, radial, axial, dipolar) are imposed. Distributions of electromagnetic forces and 2D magnetohydrodynamic flow induced by an external magnetic field in the cross-section of the rings are obtained by finite difference methods. An original method is used to calculate the circular matrices. Tables 4, Figs 10, Refs 6.