Numerical Simulation of Crystallization of a Carbon Steel Melt Modified by Spherical Polydisperse Nanoparticles Under Pulsed High-Energy Induction Heating of the Surface

The solidification of the carbon steel melt modified after heating the substrate by a pulsed high-frequency electromagnetic field is numerically simulated. The proposed nonstationary mathematical model describes the heating and melting of the metal and the nucleation and solidification on cooling its melt. Heterogeneous nucleation is facilitated by refractory polydisperse spherical nanoparticles, which penetrate into the melt from the substrate surface. The primary crystalline phase in the melt nucleates on the surface of these particles. The relation between the undercooling and nucleation rate of the nuclei formed on the polydisperse particles is determined. The primary phase solidifies in the melt when the melt is cooled from the liquidus to the eutectic temperature. The distribution of the concentration of solid phase particles over the volume of the melt, achieved at the end of the nucleation processes, determines the primary grain structure of solidified metal.