Modeling the growth of nonmetallic inclusions can be realized in a number of ways. Authors worked out their own mathematical model for calculating the increase of nonmetallic phase in liquid steel. The spherical shape of the particle and independent increase of inclusions were assumed; the participation of the diffusion of the component dissolved in the liquid phase was ignored. The mixing of metallic bath with the neutral gas of high intensity was assumed as the initial state. The simulations were performed both for the increase of a precipitate composed of two oxides: Al2O3 and Y2O3. Assumption was made that each of the oxides grows in the precipitate area of the precipitate of the same chemical composition. It was assumed that in a metallic bath there are 1 000 000 nuclei, each 5 µm. The calculations were performed for the initial oxygen concentration in steel of 0.05 % assuming two variants of aluminum and yttrium contents in the metallic bath: 0.06 % Al, 0.09 % Y – variant 1 and 0.09 % Al and 0.06 % Y – variant 2. The obtained results were presented in the form of plots of oxides increase in a function of time and change of O, Y and Al content in liquid bath in the precipitation process.Keywords: Nonmetallic inclusions, precipitations growth, Al2O3, Y2O3, numerical modelling
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