Computer-aided analysis of induction heating the moving cylindrical ferromagnetic billets

Abstract

Mathematical model making allowances for the billet’s phase heterogeneity as well as voltage difference in various inductor turns and the current density nonuniformity in the tube section is proposed in this paper. It is shown that proper mathematical modeling the process of moving cylinder ferromagnetic billets induction heating, using the finite element method, requires a solution of the coupled heat and electromagnetic boundary problem, supplemented by additional degrees of freedom, describing the nonuniformity of the voltage distribution in the inductor turns.