MAGNETOHYDRODYNAMIC FLOW IN A TRUNCATED CONICAL ENCLOSURE

Abstract

The effect of an axial magnetic field on the flow produced by counter-rotation of the top and bottom disks in a truncated conical enclosure filled with a liquid metal is studied. The governing Navier-Stokes, and potential equations are solved by using the finite-volume method. It was observed that the Reynolds number is increased, the axisymmetric basic state loses stability and giving an asymmetric mode m=1. It is also found that the primary thresholds Recr corresponding to the modes m=1 increase with increasing of the Hartmann number (Ha). Finally, stability diagram (Re-Ha) has been established according to the numerical results of this investigation.