DOI: 10.18503/1995-2732-2026-24-1-40-47
Abstract
The paper describes a practically implemented physical problem related to the crystallization of a eutectic silumin melt (AK12M2Mg) in a non-uniform alternating magnetic field generated by a short solenoidal inductor. Experimental results demonstrate that the application of magnetic fields of various types to a crystallizing melt alters the thermodynamic and kinetic parameters governing nucleation and the growth of nuclei during crystallization. The research results have demonstrated that non-uniform magnetic fields significantly disperse silicon throughout the volume of the solidified ingot. Diffusion and convection processes occurring in the crystallizing eutectic silumin melt play a crucial role in this effect. For a deeper understanding of the mechanisms governing diffusion and convection in the crystallizing eutectic silumin melt under a non-uniform alternating magnetic field, a comprehensive mathematical model has been developed. This model includes diffusion equations accounting for concentration, thermal, and field-driven fluxes of excess silicon, as well as heat conduction equations, magnetohydrodynamic equations, and Maxwell’s electromagnetic equations. A solution to one of the diffusion equations from the system of diffusion equations, associated with excess silicon at the crystal-melt interface, is presented. This solution has made it possible to calculate the growth rate and thickness of silicon plates.
Keywords
silumin, diffusion, non-uniform alternating magnetic field, silicon, mathematical model, silicon diffusion fluxes, microstructure
For citation
Dubsky G.A., Misheneva N.I., Dolgushin D.M., Nefediev A.A., Mavrinsky V.V. Mathematical Modeling of Silicon Heat and Mass Transfer Processes During Crystallization of Eutectic Silumin Melt in a Non-Uniform Alternating Magnetic Field. Vestnik Magnitogorskogo Gosudarstvennogo Tekhnicheskogo Universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2026, vol. 24, no. 1, pp. 40-47. https://doi.org/10.18503/1995-2732-2026-24-1-40-47
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