A unified solute diffusion model for columnar and equiaxed dendritic alloy solidification

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Abstract

A unified solute diffusion model is proposed for columnar and equiaxed dendritic alloy solidification, in which nucleation, growth kinetics and dendrite morphology are taken into account. Various applications to a uniformly solidified system are demonstrated, with emphasis on three special cases: complete solute mixing in the liquid, columnar growth with significant dendrite tip undercooling, and equiaxed dendritic growth. Theoretical predictions of microsegregation, eutectic fractions and cooling curves are compared with a number of previous theoretical and experimental results, and good agreement is found.

References (36)

  • S. Kobayashi

    J. Cryst. Growth

    (1988)
  • M.C. Flemings
  • W. Kurz et al.

    Acta Metall.

    (1986)
  • M. Solari et al.

    J. Cryst. Growth

    (1980)
  • M.H. Burden et al.

    J. Cryst. Growth

    (1974)
  • M. Rappaz et al.

    Acta Metall.

    (1987)
  • M. Rappaz et al.

    Acta Metall.

    (1987)
  • J. Lipton et al.

    Mater. Sci. Eng.

    (1984)
  • H. Jones

    Mater. Sci. Eng.

    (1984)
  • W. Kurz et al.

    Acta Metall.

    (1981)
  • L.A. Bendersky et al.
  • M. Rappaz

    Int. Mater. Rev.

    (1989)
  • T.P. Battle et al.

    Metall. Trans. B

    (1990)
  • S. Sundarraj et al.
  • W. Kurz et al.

    Fundamentals of Solidification

    (1989)
  • H.D. Brody et al.

    Trans. AIME

    (1966)
  • T.W. Clyne et al.

    Metall. Trans. A

    (1981)
  • I. Ohnaka

    Trans. ISIJ

    (1986)
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