The Mathematical Model of Metal Melt State under Induction Melting

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.

• Periodical: Applied Mechanics and Materials (Volume 770)
• Pages: 242-247
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.770.242
• Online since: June 2015
• Authors: I. Nikulin*, A. Perminov
• Keywords: Heat Transfer, Induction Current, Magnetic Field, Magnetic Field Diffusion Equation, Magnetic Reynolds Number, Mass Transfer, Mathematical Modeling

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