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A unified model of microsegregation and coarsening

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Abstract

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 α 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 α 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 coarsening. In particular, previous approximate microsegregation models can be readily modified to account for coarsening.

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Authors and Affiliations

  1. the Saint Anthony Falls Laboratory, Department of Civil Engineering, University of Minnesota, 55455, Minneapolis, MN

    V. R. Voller (Professor)

  2. the Department of Mechanical Engineering, The University of Iowa, 52242, Iowa City, IA

    C. Beckermann (Professor)

Authors
  1. V. R. Voller
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  2. C. Beckermann
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Voller, V.R., Beckermann, C. A unified model of microsegregation and coarsening. Metall Mater Trans A 30, 2183–2189 (1999). https://doi.org/10.1007/s11661-999-0030-z

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  • DOI: https://doi.org/10.1007/s11661-999-0030-z

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