NUMERICAL INVESTIGATION OF ELECTROMAGNETIC EFFECTS AND AVERAGED METAL MELT FLOWS GENERATED BY HIGH-FREQUENCY MAGNETIC FIELD

摘要

We describe in detail a mathematical model of averaged flows generated by an external high-frequency magnetic field in a molten metal. The model involves an eddy current magnetic field and a fluid dynamics problem. A system of equations for the eddy current magnetic field is given. This system allows to calculate harmonics of the eddy current magnetic field by standard numerical methods. A system of equations for metal flows in terms of the eddy field problem has been derived with the use of a multiple time scale method. The system was split into equations for averaged physical characteristics and for their pulsations. It is shown that the external alternating magnetic field generates time-independent volume forces and heat sources. Based on the results of the numerical simulations, the eddy current magnetic field distribution in molten metal and its influence on the averaged flows were analyzed. The averaged flow patterns are given. An application of this model is proposed.