Motion of an electrically conducting fluid in a cylindrical volume acted on by superimposed rotating and travelling magnetic fields

The motion of an electrically conducting fluid in a cylindrical volume acted on by simultaneous rotating and travelling magnetic fields is examined. The finite length of both the fluid volume and the windings used to create the field are taken into account in calculating the electromagnetic forces acting on the liquid. The hydrodynamic characteristics are determined by solving the Navier-Stokes equation. The distribution of the angular rotation velocity of the fluid and the distribution of the meridional flows are calculated for various combinations of the rotating and travelling fields, and the trajectories of the individual particles in the fluid are determined. Superposing these two fields is found to increase the efficiency with which a fluid is mixed and inhibits segregation and sedimentation effects within it.