Abstract
In this paper mathematical model is developed for the study of metal melt flows general regularities in non-uniform alternating magnetic field, in which cylindrical area filed with paramagnetic conducting melt is considered, the symmetry axis is directed vertically. The model include the equations describing spatial magnetic field distribution, the equations for induced currents, the equation of heat energy transfer that includes movement of media and volume heat sources, the equation of melt convection in Boussinesq’s approximation including of Lorentz force action to the melt. The boundary conditions for the melt velocities, magnetic fields and heat fluxes are described detail. The governing equations and boundary conditions are given in dimensionless form. The results of numerical experiments with different magnetic Reynolds number are given.
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