MATHEMATICAL MODELLING OF 2D MAGNETOHYDRODYNAMIC FLOW BETWEEN TWO COAXIAL CYLINDERS IN AN EXTERNAL MAGNETIC FIELD

摘要

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.