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An internal variable description of solidification suitable for macrosegregation modeling

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Abstract

A mathematical description of solidification suitable for macrosegregation modeling is presented. The concept incorporates the effect of finite solid diffusion locally in the dendrites, and remelting can be modeled without any need to trace the solute concentrations in the dendritic structure during solidification. This is accomplished by interpreting the mean solute concentrations in the solid as internal variables on which the solid fraction depends and by accounting for the rate of change of these variables due to solidification, remelting, and solid diffusion by additional evolution equations. The material coefficients needed in the model are estimated for a ternary AlFeSi alloy of commercial purity, and the internal variable equations are incorporated in a simple model problem for interdendritic melt flow leading to macrosegregation. The results are compared to similar studies based on the lever rule and the Scheil approach, and it is shown that the choice of solidification description has a pronounced effect on the predicted amount of macrosegregation.

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  1. SINTEF, 0314, Oslo, Norway

    Asbjørn Mo (Senior Scientist)

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  1. Asbjørn Mo
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Mo, A. An internal variable description of solidification suitable for macrosegregation modeling. Metall Mater Trans B 25, 597–605 (1994). https://doi.org/10.1007/BF02650080

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  • DOI: https://doi.org/10.1007/BF02650080

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