Abstract
A mathematical model of the crystallization of a binary metal alloy inoculated with exogenous refractory nanoparticles has been developed. The process of cooling and solidification of an aluminum alloy with a phase diagram of the eutectic type is considered. Equations describing the growth of the solid phase with the continuous cooling of the alloy to the eutectic temperature and subsequent crystallization of the eutectic are given. Verification of the proposed model was carried out by comparing the results of numerical calculation of the crystallization process of the binary Al + Si system with the corresponding data of the physical experiment.
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