SIMULATION OF THE AVERAGED FLOW OF A METAL MELT IN AN ALTERNATING MAGNETIC FIELD WITH VARIABLE AMPLITUDE AND FREQUENCY

The movement of a metal melt in an inhomogeneous high-frequency magnetic fi eld is considered. A system of equations with boundary conditions defi ning the diffusion of the magnetic fi eld and the heat conduction in such a melt in the Boussinesq approximation with account of the Joule heat released in the melt and the volume Lorentz forces acting in it is presented. The correctness of the mathematical model proposed is demonstrated. The amplitude distributions of the magnetic fi elds of the eddy currents induced in a metal melt, the velocity distributions of the heat fl ows in it, and the distribution of temperatures in the melt were calculated for the control parameters of its fl ow determined by the frequency and amplitude of the alternating magnetic fi eld acting on it. The conditions under which the structure of this fl ow is completely determined by the parameters of the magnetic fi eld and the problem on determination of the heat and mass transfer in the metal melt can be reduced to the calculation of its forced convection in the Lorentz force fi eld and the temperature distribution in the melt at a defi nite velocity of its fl ow were determined.
   
Author:  I. L. Nikulin and A. V. Perminov
Keywords:  induction melting, electrically conducting liquid, alternating magnetic fi eld, magnetic-fi eld diffusion, inductive current, heat convection, forced convection, Boussinesq approximation, Lorentz force, metal-melt fl ow
Page:  556