Modeling of the solidification process in a continuous casting installation for steel slabs

Abstract

The development of a computational simulation system for modeling the solidification process in a continuous casting facility for steel slabs is discussed. The system couples a module for solving the direct problem (the calculation of temperatures in the steel strand) with an inverse analysis module that was developed for evaluating the steel/mold heat fluxes from the information provided by thermocouples installed in the continuous casting mold copper plates. In order to cope with the non-uniqueness of the inverse analysis, a priori information on the solution, based on the consideration of the problem physics, is incorporated. The stability of the system predictions are analyzed and the influence of the first trial used to start the evaluation procedure is discussed. An industrial case is analyzed.

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References

  1. 1.

    M.M. Wolf: The Making, Shaping and Treating of Steel Ironmaking Volume, 11th ed., AISE Steel Foundation, in press.

  2. 2.

    B. Lally, LT. Eiegler, and H. Henein: Metall. Trans. B, 1991, vol. 22B, pp. 641–48.

    CAS  Google Scholar 

  3. 3.

    B. Lally, L.T. Biegler, and H. Henein: Metall. Trans. B, 1991, vol. 22B, pp. 649–59.

    CAS  Google Scholar 

  4. 4.

    E.N. Dvorkin: IACM-Expressions, 2001, Jan., No. 10.

  5. 5.

    M.R. Ridolfi and B.G. Thomas: La Rev. Métall.-CIT, 1994, Apr., pp. 609–20.

  6. 6.

    J.E. Kelly, K.P. Michalek, T.G. O’Connor, B.G. Thomas, and J.A. Dantzig: Metall. Trans. A, 1988, vol. 19A, pp. 2589–602.

    CAS  Google Scholar 

  7. 7.

    J. Savage and W.H. Pritchard: J. Iron Steel Inst., 1954, Nov., pp. 29–77.

  8. 8.

    J.E. Lait, J.K. Brimacombe, and F. Weinberg: Ironmaking and Steelmaking (Q.) 1974, vol. 2, pp. 90–97.

    Google Scholar 

  9. 9.

    K. Morgan, R.W. Lewis, and O.C. Zienkiewicz: Int. J. Num. Methods Eng., 1977, vol. 12, pp. 1191–95.

    Article  Google Scholar 

  10. 10.

    W.D. Rolph and K.J. Bathe: Int. J. Num. Methods Eng., 1982, vol. 18, pp. 119–34.

    MATH  Article  Google Scholar 

  11. 11.

    K.K. Tamma and R.R. Namburu: Int. J. Num. Methods Eng., 1990, vol. 30, pp. 803–20.

    Article  Google Scholar 

  12. 12.

    R. Song, G. Dhatt, and A. Ben Cheikh: Int. J. Num. Methods Eng., 1990, vol. 30, pp. 579–99.

    MATH  Article  Google Scholar 

  13. 13.

    C.R. Swaminathan and V.R. Voller: Metall. Trans. B, 1992, vol. 23B, pp. 651–64.

    CAS  Google Scholar 

  14. 14.

    L.A. Crivelli and S.R. Idelsohn: Int. J. Num. Methods Eng., 1986, vol. 23, pp. 99–119.

    MATH  Article  MathSciNet  Google Scholar 

  15. 15.

    M.A. Storti, L.A. Crivelli, and S.R. Idelsohn: Int. J. Num. Methods Eng., 1987, vol. 24, pp. 375–92.

    MATH  Article  Google Scholar 

  16. 16.

    V.D. Fachinotti, A. Cardona, and A.E. Huespe: Int. J. Num. Methods Eng., 1999, vol. 44, pp. 1863–84.

    MATH  Article  MathSciNet  Google Scholar 

  17. 17.

    J. Miettinen: Metall. Mater. Trans. B, 1997, vol. 28B, pp. 281–95.

    Article  CAS  Google Scholar 

  18. 18.

    R.J. Bathe: Finite Element Porcedures, Prentice-Hall, Upper Saddle River, NJ, 1996.

    Google Scholar 

  19. 19.

    H. Matthies and G. Strang: Int. J. Num. Methods Eng., 1979, vol. 14, pp. 1613–26.

    MATH  Article  MathSciNet  Google Scholar 

  20. 20.

    A.F. Mills: Heat Transfer, IRWIN, 1992.

  21. 21.

    D.G. Luenberger: Linear Nonlinear Programming., Addison C Wesley, Reading, MA, 1984.

    Google Scholar 

  22. 22.

    S. Louhenkilpi: Scand. J. Metall., 1994, vol. 23, pp. 9–17.

    CAS  Google Scholar 

  23. 23.

    S.G. Hibbins and J.K. Brimacombe: Continuous Casting, vol. 2, Heat Flow, Solidification and Crack Formation, ISS-AIME, Pittsburgh, PA, 1984, pp. 139–51.

    Google Scholar 

  24. 24.

    J.K. Brimacombe, P.K. Agarawal, L.A. Baptista, S.G. Hibbins, and B. Prabhakar: Proc. 69th Steelmaking Conf. Proc., ISS-AIME, Washington, DC, 1986, pp. 109–23.

    Google Scholar 

  25. 25.

    I.V. Samarasekera and J.K. Brimacombe: Proc. 3rd PTD Conf. on Application of Mathematical and Physical Models in the Iron and Steelmaking Industry, ISS, Pittsburgh, PA, 1982, 283–95.

    Google Scholar 

  26. 26.

    B.G. Thomas, G. Li, A. Moita, and D. Habing: ISS Trans., 1998, pp. 125–43.

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Gonzalez, M., Goldschmit, M.B., Assanelli, A.P. et al. Modeling of the solidification process in a continuous casting installation for steel slabs. Metall Mater Trans B 34, 455–473 (2003). https://doi.org/10.1007/s11663-003-0072-3

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Keywords

  • Mold
  • Material Transaction
  • Continuous Casting
  • Casting Speed
  • Inverse Analysis