Calculation of the electromagnetic force field for induction stirring in continuous casting.

Abstract

A mathematical statement is developed describing the three-dimensional magnetic field and electromagnetic force field induced in a slab or in a billet, through the application of stirring coils in a continuous casting process. These problems are necessarily three-dimensional because of the inherent features of the system geometry, although two-dimensional simplifications are of course possible.The resultant equations are solved numerically, and results are presented for both a slab with a linear stirrer and a billet with a rotary stirrer. The computed results have shown that within the vertical sections covered by the inductor the electromagnetic force fields obtained were very close to values that would have been obtainable through a two-dimensional approximation. However, on approaching the vertical position corresponding to the outer edge of the inductor, the electromagnetic force field vector decayed quite rapidly and additional force field components appeared. This behavior could not have been predicted on the basis of a two-dimensional analysis.