A unified model of microsegregation and coarsening

Using a coordinate transform in a standard microsegregation model it is shown that the effect of coarsening on the dilution of the liquid phase can be accounted for by adding a dimensionless parameter alpha exp c to the back-diffusion Fourier number. Through theory, for the case of parabolic growth,...

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Published in:Metallurgical and materials transactions. A, Physical metallurgy and materials science Physical metallurgy and materials science, 1999-08, Vol.30 (8), p.2183-2189
Main Authors: VOLLER, V. R, BECKERMANN, C
Format: Article
Language:English
Subjects:
Applied sciences
Cross-disciplinary physics: materials science
rheology
Exact sciences and technology
Materials science
Metals. Metallurgy
Phase diagrams and microstructures developed by solidification and solid-solid phase transformations
Physics
Solidification
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description Using a coordinate transform in a standard microsegregation model it is shown that the effect of coarsening on the dilution of the liquid phase can be accounted for by adding a dimensionless parameter alpha exp c to the back-diffusion Fourier number. Through theory, for the case of parabolic growth, and numerical experiments for the constant cooling rate, it is shown that a constant value of alpha exp c =0.1 is a sound choice across a wide range of casting and alloy conditions. This finding allows for the development of a unified model for microsegregation and coaresening. In particular, previous approximate microsegregation models can be readily modified to account for coarsening.
doi_str_mv 10.1007/s11661-999-0030-z
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source Springer Nature
subjects Applied sciences
Cross-disciplinary physics: materials science
rheology
Exact sciences and technology
Materials science
Metals. Metallurgy
Phase diagrams and microstructures developed by solidification and solid-solid phase transformations
Physics
Solidification
title A unified model of microsegregation and coarsening
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