Metallurgical and Materials Transactions A

, Volume 45, Issue 12, pp 5371–5378 | Cite as

A Numerical Model Describing Multiphase Binary Diffusion in Liquid Metal/Solid Metal Couples

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Abstract

A numerical model for multiphase binary diffusion in liquid metal/solid metal infinite couples is developed by introducing a bisection method which determines a location of the Matano interface. The model makes use of phase diagram sources and kinetic data without any adjustable parameters. The model gives displacements of the interphase interfaces including the liquid/solid interface relative to the x = 0 plane, a change in the mass of a solid metal and a distance-composition profile at diffusion time given. The calculated rates of phase layer growth agreed reasonably well with the measured rates by other researchers in liquid Sn saturated with Cu/solid Cu couples and liquid Zn/solid Fe couples in the diffusion-controlled stage.

Keywords

Liquid Metal Layer Growth Solid Metal Domain Decomposition Method Molar Flux 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    W. Jost: Diffusion in Solids, Liquids, Gases, 3rd ed., Academic Press Inc., New York, 1960, p. 71.Google Scholar
  2. 2.
    E. Metin, O. T. Inal, and A. D. Romig, JR: Meta//, Mater. Trans. A, 2005, vol. 36A, pp. 1407-15.CrossRefGoogle Scholar
  3. 3.
    A. Engström, L. Höglund, and J. Ågren: Meta//, Mater.Trans. A, 1994, vol. 25A, pp. 1127-34.CrossRefGoogle Scholar
  4. 4.
    S. Tsuji: Metall. Mater. Trans. A, 1994, vol. 25A, pp. 741-51.CrossRefGoogle Scholar
  5. 5.
    S. Tsuji: Metall. Mater. Trans. A, 1994, vol. 25A, pp. 753-61.CrossRefGoogle Scholar
  6. 6.
    S. Tsuji: Materials Trans. JIM, 2005, vol. 46, pp. 1248-54.CrossRefGoogle Scholar
  7. 7.
    A. Hayashi, C. R. Kao and Y. A. Chang: Scripta Mater., 1997, vol. 37, pp. 393-98.CrossRefGoogle Scholar
  8. 8.
    C. E. Jordan and A. R. Marder: J. Mater. Sci., 1997, vol. 32, pp. 5593-602.CrossRefGoogle Scholar
  9. 9.
    R. Kainuma and K. Ishida: Tetsu-to-Hagane, 2005, vol 91, pp. 45-51.Google Scholar
  10. 10.
    R. Kainuma and K. Ishida: ISIJ International, 2007, vol. 47, pp. 740-44.CrossRefGoogle Scholar
  11. 11.
    D. Horstmann: Stahl u. Eisen, 1953, vol. 73, pp. 659-65.Google Scholar
  12. 12.
    H. Okamoto: Desk Hand Book: Phase Diagrams for Binary Alloys, 2nd ed., ASM International, Materials Park, OH, 2010, p. 321.Google Scholar
  13. 13.
    A. K. Loy and R. P. Chhbra: Meta//. Trans. A, 1988, vol. 19A, pp. 273-79.Google Scholar
  14. 14.
    Z. Lubyova, P. Fellner and K. Matiasovsky: Z. Metallkd., 1975, vol. 66, 179-82.Google Scholar
  15. 15.
    H. Fidos and H. Schreiner: Z. Metallkde., 1970, vol. 61, 225-28.Google Scholar
  16. 16.
    K. Hoshino, Y. Iijima and K. Hirano: Trans. Jpn. Inst. Met., 1980, vol. 21, pp. 674-82.CrossRefGoogle Scholar
  17. 17.
    K. Bouché, F. Barbier and A. Coulet: Mater. Sci. Eng. A, 1998, vol. 249, pp. 167-75.CrossRefGoogle Scholar
  18. 18.
    J. Nakano, D. V. Malakov, S. Yamaguchi and G. R. Purdy: CALPHAD, 2007, vol. 31, pp. 125-40.CrossRefGoogle Scholar
  19. 19.
    T.B. Massalski and H. Okamoto: Binary Alloy Phase Diagrams, 2nd ed., ASM International, Materials Park, OH, 1990, p. 1128.Google Scholar
  20. 20.
    A. K. Loy and R. P. Chabara: Meta//. Trans. A, 1988, vol. 19A, pp. 273-79.Google Scholar
  21. 21.
    M. Onishi, Y. Wakamatsu, K. Fukumoto and M. Sagara: J. Jpn. Inst. Met., 1972, vol. 36, pp. 150-57.Google Scholar
  22. 22.
    Y. Wakamatsu, K. Samura and M. Onishi: J. Jpn. Inst. Met., 1977, vol. 41, pp. 664-69.Google Scholar
  23. 23.
    H. Suzuki, Y. Masuda and K. Nishida: J. Jpn. Inst. Met., 1972, vol. 36, pp. 509-13.Google Scholar
  24. 24.
    S. Tsuji: J. Jpn. Inst. Met., 1977, vol. 41, pp. 678-85.Google Scholar
  25. 25.
    A. J. Hickl and R. W. Heckel: Metall. Trans. A, 1975, vol. 6, pp. 431-40.CrossRefGoogle Scholar
  26. 26.
    V. I. Dybkov: J. Mater. Sci., 1990, vol. 25, pp. 3615-33.CrossRefGoogle Scholar
  27. 27.
    A. Coulet, K. Bouche, F. Marinelli and F. Barbier: J. Appl. Phys., 1997, vol. 82, pp. 6001-07.CrossRefGoogle Scholar

Copyright information

© The Minerals, Metals & Materials Society and ASM International 2014

Authors and Affiliations

  1. 1.Department of Mechanical and Precision SystemsTeikyo UniversityUtsunomiyaJapan
  2. 2.Ibaraki Laboratory of Diffusion AlloysIbaraki CityJapan

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