Abstract
In this paper, the thermal interactions between a single particle of lead and a metal matrix (Al-Si alloy) are analysed. From the mathematical point of view, this task belongs in the field of moving boundary problems. The problem has been solved using the finite element method for spherical domains. The course of particle melting (pure metal) has been modelled on the basis of the procedure called the temperature recovery method, and the solidification of metal matrix (alloy) on the basis of the fixed domain approach. The results of numerical computations are presented in the final section of the paper.
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