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The use of heat flow modeling to explore solidification phenomena

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Abstract

Some of the basic solidification characteristics of alloys which freeze over a finite temperature range are examined with the help of an explicit finite difference model. Comparison is made between observed and predicted changes in local cooling conditions during directional solidification and deductions made about thermal features and the growth behavior. Some general conclusions are outlined regarding the speed-up of dendrite tip and root isotherms (and other end effect phenomena), elimination of melt superheat by convection currents, and the effect of isothermal latent heat evolution (as in eutectic formation). Some comments are made about the relevance of these considerations to real solidification processes and the importance of numerical modeling in future developments.

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References

  1. W. C. Erickson:AFS Int. Cast. Metals J., 1980, vol. 4, pp. 30–41.

    Google Scholar 

  2. A. Lazaradis:Int. J. Heat Mass. Transf., 1970, vol. 13, pp. 1459–77.

    Article  Google Scholar 

  3. N. Shamsundar and E. M. Sparrow:Trans. ASM (c), J. Heat Transfer, 1975, vol. 97, pp. 333–40.

    Google Scholar 

  4. I. Ohnaka and T. Fukusako:Trans. Iron Steel Inst. Japan, 1977, vol. 17, pp. 410–18.

    CAS  Google Scholar 

  5. T. W. Clyne:J. Cry. Gr., 1980, vol. 50, pp. 684–700.

    Article  CAS  Google Scholar 

  6. T. Matsumiya and M. C. Flemings:Metall. Trans. B, 1981, vol. 12B, pp. 17–31.

    CAS  Google Scholar 

  7. S. Kou:Metall. Trans. A, 1982, vol. 13A, pp. 363–71.

    CAS  Google Scholar 

  8. G. M. Ecer, M Downs, H. D. Brody, and A. Gokhale: in “Modelling of Casting and Welding Processes,” H. D. Brody and D. Apelian, eds., AIME, New York, NY, 1981, pp. 139–60.

    Google Scholar 

  9. K. Miyazawa and J. Szekely:Metall. Trans. B, 1980, vol. 11B, pp. 321–28.

    Google Scholar 

  10. T. W. Clyne and A. Garcia:J. Mat. Sci., 1981, vol. 16, pp. 1643–53.

    Article  CAS  Google Scholar 

  11. H. D. Brody and D. Apelian, eds.: “Modelling of Casting and Welding Processes,” AIME, New York, NY, 1981.

    Google Scholar 

  12. T. W. Clyne:Metal Sci., September 1982, in press.

  13. A. Garcia and T. W. Clyne: in “Solidification Technology in the Foundry and Casthouse,” J. A. Charles, ed., The Metals Society, London, 1982.

    Google Scholar 

  14. H. Jacobi:Archiv, für Eisenhüttenwes., 1976, vol. 47, pp. 441–46.

    CAS  Google Scholar 

  15. L. J. D. Sully:Trans. AFS, 1976, vol. 84, pp. 735–44.

    CAS  Google Scholar 

  16. T.W. Clyne and W. Kurz:Metall. Trans. A, 1981, vol. 12A, pp. 965–71.

    Google Scholar 

  17. H. D. Brody and M. C. Flemings:Trans. TMS-AIME, 1966, vol. 236, pp. 615–23.

    CAS  Google Scholar 

  18. T.W. Clyne, A. Garcia, P. Ackermann, and W. Kurz:J. Metals, February 1982, pp. 34–39.

  19. G. H. Geiger and D. R. Poirier:Transport Phenomena in Metallurgy, Addison-Wesley, Reading, MA, 1973, pp. 220–26.

    Google Scholar 

  20. J. Szekely:Fluid Flow Phenomena in Metals Processing, Academic Press, New York, NY, 1979, pp. 204–26.

    Google Scholar 

  21. J.R. Welty, C. E. Wicks, and R. E. Wilson:Fundamentals of Momentum, Heat and Mass Transfer, Wiley, New York, NY, 1976, pp. 324–62.

    Google Scholar 

  22. J. Szekely and A. JassalMetall. Trans. B, 1978, vol. 9B, pp. 389–98.

    Article  CAS  Google Scholar 

  23. W. C. Johnston and W. A. Tiller:Trans. TMS-AIME, 1961, vol. 221, pp. 331–36.

    CAS  Google Scholar 

  24. B.F. Oliver:Trans. TMS-AIME, 1964, vol. 230, pp. 1352–58.

    CAS  Google Scholar 

  25. A. M. Nazar, M. Prates, and T. W. Clyne:J. Cry. Gr., 1981, vol. 55, pp. 317–24.

    Article  CAS  Google Scholar 

  26. H.P. Utech and M.C. Flemings:J. Appl. Phys., 1966, vol. 37, pp. 2021–24.

    Article  CAS  Google Scholar 

  27. D.J. Allen and J. D. Hunt:Metall. Trans. A, 1979, vol. 10A, pp. 1389–96.

    CAS  Google Scholar 

  28. T. W. Caldwell, A. J. Campagna, M. C. Flemings, and R. Mehrabian:Metall. Trans. B, 1977, vol. 8B, pp. 261–70.

    Article  CAS  Google Scholar 

  29. J. E. Lait, J. K. Brimacombe, and F. Weinberg:Ironmaking and Steel-making, 1974, vol. 1, pp. 90–97.

    Google Scholar 

  30. W. L. Heitz and J. W. Westwater:Int. J. Heat Mass Transf., 1970, vol. 13, pp. 1371–75.

    Article  CAS  Google Scholar 

  31. J. Szekely and M. R. Todd:Int. J. Heat Mass Transf., 1971, vol. 14, pp. 467–73.

    Article  Google Scholar 

  32. D.J. P. Adenis, K.H. Coats, and D. V. Ragone:J. Inst. Met., 1962/3, vol. 91, pp. 395–403.

    Google Scholar 

  33. D. A. Peel and A. E. Pengelly: ISI sp. rep. 123, 1968, pp. 186–96.

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Clyne, T.W. The use of heat flow modeling to explore solidification phenomena. Metall Trans B 13, 471–478 (1982). https://doi.org/10.1007/BF02667763

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