Numerical Modeling of Solidification Substitute – Thermal Capacity of Binary Alloy

Bohdan Mochnacki; R. Szopa

doi:10.4028/www.scientific.net/DDF.354.33

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Numerical Modeling of Solidification Substitute – Thermal Capacity of Binary Alloy

Abstract:

Mathematical description of alloys solidification on the macro scale can be formulated using the one domain method (fixed domain approach). The energy equation corresponding to this model contains the parameter called the substitute thermal capacity (STC). The analytical form of STC results from the assumption concerning the course of the function f_S = f_S (T) describing the changes of solid state volumetric fraction and the temperature at the point considered. Between border temperatures T_S, T_L the function f_S changes from 1 to 0. In this paper the volumetric fraction f_S (more precisely f_L = 1- f_S ) is found using the simple models of macrosegregation (the lever arm rule, the Scheil model). In this way one obtains the formulas determining the course of STC resulting from the certain physical considerations and this approach seems to be closer to the real course of thermal processes proceeding in domain of solidifying alloy.

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Periodical:

Defect and Diffusion Forum (Volume 354)

Pages:

33-40

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.354.33

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Online since:

June 2014

Authors:

Bohdan Mochnacki*, R. Szopa

Keywords:

Binary Allow, Numerical Modeling, Solidification, Thermal Capacity

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References

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