Heat removal analysis on steel billets and slabs produced by continuous casting using numerical simulation

  • A. Ramírez-López
  • D. Muñoz-Negrón
  • M. Palomar-Pardavé
  • M. A. Romero-Romo
  • J. Gonzalez-Trejo
Open Access


Simulation of a continuous casting process (CCP) is very important for improving industrial practices, reducing working times, and assuring safety operating conditions. The present work is focused on the development of a computational simulator to calculate and analyze heat removal during continuous casting of steel; routines for reading the geometrical configuration and operating conditions were developed for an easy management. Here, a finite difference method is used to solve the steel thermal behavior using a 2D computational array. Conduction, radiation, and forced convection equations are solved to simulate heat removal according to a steel position along the continuous casting machine. A graphical user interface (GUI) was also developed to display virtual sketches of the casting machines; moreover, computational facilities were programmed to show results such as temperature and solidification profiles. The results are analyzed and validated by comparison with industrial trials; finally, the influence of some industrial parameters such as casting speed and quenching conditions is analyzed to provide some recommendations in order to warrant safety operating conditions.


Continuous casting Steel manufacturing Heat removal Thermal behavior Computer simulation Computational algorithms 


  1. 1.
    Brimacombe JK (1976) Can Metall Q 15:163CrossRefGoogle Scholar
  2. 2.
    Choudhary SK, Mazumdar D, Ghosh A (1993) Mathematical modelling of heat transfer phenomena in continuous casting of steel. ISIJ Int 33:764–774. doi: 10.2355/isijinternational.33.764 CrossRefGoogle Scholar
  3. 3.
    Choudhary SK, Mazumdar D (1994) Mathematical modelling of transport phenomena in continuous casting of steel. ISIJ Int 34:584–592. doi: 10.2355/isijinternational.34.584 CrossRefGoogle Scholar
  4. 4.
    Choudhary SK, Mazumdar D (1995) Mathematical modelling of fluid flow, heat transfer and solidification phenomena in continuous casting of steel. Steel Research 66:199–205. doi: 10.1002/srin.199501112 CrossRefGoogle Scholar
  5. 5.
    Geiger GH (1987) Transport phenomena in metallurgy. Addison Wesley Publishing, p 285–291Google Scholar
  6. 6.
    Lait J, Brimacombe JK, Weinberg F (1974) Ironmak Steelmak 2:90Google Scholar
  7. 7.
    Li BQ (1997) Numerical simulation of flow and temperature evolution during the initial phase of steady-state solidification. J Mater Process Technol 71:402. doi: 10.1016/S0924-0136(97)00105-2 CrossRefGoogle Scholar
  8. 8.
    Louhenkilpi S, Laitinen E, Nienminen R (1993) Real-time simulation of heat transfer in continuous casting. Metall Trans B 24(4):685–693. doi: 10.1007/BF02673184 CrossRefGoogle Scholar
  9. 9.
    Amin MR, Majan A (2006) Modeling of turbulent heat transfer during the solidification process of continuous castings. J Mater Process Technol 174:155–166. doi: 10.1016/j.jmatprotec.2005.11.035 CrossRefGoogle Scholar
  10. 10.
    Shi Z, Guo ZX (2004) Numerical heat transfer modelling for wire casting. Mater Sci Eng A 365:311–317. doi: 10.1016/j.msea.2003.09.041 CrossRefGoogle Scholar
  11. 11.
    Thomas BG, Samarasekera IV, Brimacombe JK (1984) Comparison of numerical modeling techniques for complex, two-dimensional, transient heat-conduction problems. Metall Trans B 15:307–318. doi: 10.1007/BF02667334 CrossRefGoogle Scholar
  12. 12.
    Thomas BG, Samarasekera IV, Brimacombe JK (1987) Mathematical model of the thermal processing of steel ingots: part II. Stress model. Metall Trans B 18:119. doi: 10.1007/BF02658438 CrossRefGoogle Scholar
  13. 13.
    Blase TA, Guo ZX, Shi Z, Long K, Hopkins WG (2004) A 3D conjugate heat transfer model for continuous wire casting. Mater Sci Eng A-Struct 365:318–324. doi: 10.1016/j.msea.2003.09.042 CrossRefGoogle Scholar
  14. 14.
    (1978) Physical constants of some commercial steels at elevated temperatures. B.I.R.S.A. London, Ed. Butterworths, p 1–38Google Scholar
  15. 15.
    Ramirez-Lopez A et al (2010) Simulation of the heat transfer in steel billets during continuous casting. Int J Miner Metall Mater 17(4):403–416. doi: 10.1007/s12613-010-0333-5 CrossRefGoogle Scholar
  16. 16.
    Ramirez-Lopez A et al (2010) Simulation factors of the steel continuous casting. Int J Miner Metall Mater 17(3):267–275. doi: 10.1007/s12613-010-0304-x CrossRefGoogle Scholar
  17. 17.
    Savage J, Pritchard WH (1954) J Iron Steel Inst 178:269Google Scholar
  18. 18.
    Ramirez-Lopez A et al (2010) Computational algorithms to simulate the steel continuous casting. Int J Miner Metall Mater 17(5):596–607. doi: 10.1007/s12613-010-0362-0 CrossRefGoogle Scholar
  19. 19.
    Dauby PH, Assar MB, Lawson GD (2001) PIV amd MFC measurements in a continuous caster mould. New tools to penetrate the caster black box. La Revue de Metallurgie - CIT 98(4):353–366CrossRefGoogle Scholar
  20. 20.
    Thomas BG (2003) Chapter 14. Fluid flow in the mold. In: Cramb A (ed) Making, shaping and treating of steel: continuous casting, vol vol. 5. AISE Steel Foundation, Pittsburgh, pp 14.1–14.41Google Scholar
  21. 21.
    Thomas BG (2006) Modeling of continuous-casting defects related to mold fluid flow. Iron Steel Technol (AIST Trans) 3(7):128–143Google Scholar
  22. 22.
    Louhenkilpi S (1995) Acta Polytech Scand Chem Technol Ser No. 230Google Scholar
  23. 23.
    Oliveira MJ, Malheiros LF, Ribeiro CAS (1999) Evaluation of the heat of solidification of cast irons from continuous cooling curves. J Mater Process Technol 92-93:25–30. doi: 10.1016/S0924-0136(99)00181-8 CrossRefGoogle Scholar
  24. 24.
    Das SK (2001) Evaluation of solid-liquid interface profile during continuous casting by a spline based formalism. Bull Mater Sci 24:373. doi: 10.1007/BF02708633 CrossRefGoogle Scholar
  25. 25.
    Fachinotti VD, Cardona A (2003) Constitutive models of steel under continuous casting conditions. J Mater Process Technol 135:30–43. doi: 10.1016/S0924-0136(02)00955-X CrossRefGoogle Scholar
  26. 26.
    Janik M, Dyja H (2004) Modelling of three-dimensional temperature field inside the mould during continuous casting of steel. J Mater Process Technol 157:177–182. doi: 10.1016/j.jmatprotec.2004.09.026 CrossRefGoogle Scholar
  27. 27.
    Kulkarni MS, Babu AS (2005) Managing quality in continuous casting process using product quality model and simulated annealing. J Mater Process Technol 166:294–306. doi: 10.1016/j.jmatprotec.2004.09.073 CrossRefGoogle Scholar
  28. 28.
    Hibbins SG (1982) Characterization of heat transfer in the secondary cooling system of a continuous slab caster. Ph.D. Thesis, University of British Columbia, p 20–50, 65–82, 110–119, 125–150Google Scholar
  29. 29.
    Emling WH, Waugaman TA, Feldbauer SL, Cramb AW (1994) Subsurface mold slag entrainment in ultra-low carbon steels. In: Steelmaking Conf. Proc., Vol. 77, ISS, Warrendale, PA, (Chicago, IL), p 371–379Google Scholar
  30. 30.
    Zhao B, Thomas BG, Vanka SP, O’Malley RJ (2005) Transient fluid flow and superheat transport in continuous casting of steel slabs. Metall Mater Trans B 36B(12 (December)):801–823. doi: 10.1007/s11663-005-0083-3 CrossRefGoogle Scholar
  31. 31.
    Yuan Q, Zhao B, Vanka SP, Thomas BG (2004, (New Orleans, LA, Sept. 26-29), TMS, Warrendale, PA) Study of computational issues in simulation of transient flow in continuous casting. Mater Sci Technol II:333–343Google Scholar
  32. 32.
    (1993) Heat Transfer Problem Solvers, Research & Education Association Piscataway New Jersey, p 17–81, 385–410, 424–461, 505–520Google Scholar
  33. 33.
    Crank J, Nicholson P (1947). In: Proceedings of the Cambridge Philosophical Society 43, p 50Google Scholar
  34. 34.
    Gerald CF, Wheatley PO (1994) Applied numerical analysis. Addison Wesley Publishing Company, U.S.A., pp 616–658MATHGoogle Scholar
  35. 35.
    Wicks CE, Wilson RE, Welty JR (1984) Fundamentals of momentum, heat and mass transfer. John Wiley & Sons, U.S.A., p 269Google Scholar
  36. 36.
    Thomas BG, O’Malley R, Shi T, Meng Y, Creech D, Stone D (2000) Validation of fluid flow and solidification simulation of a continuous thin slab caster. In: Modeling of casting, welding, and advanced solidification processes, Vol. IX, Shaker Verlag GmbH, Aachen, Germany, (Aachen, Germany, August 20–25, 2000), p 769–776Google Scholar

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Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Academic Department of Industrial EngineeringInstituto Tecnológico Autónomo de México (ITAM)Mexico cityMexico
  2. 2.Department of Materials ScienceUniversidad Autónoma Metropolitana (UAM Azcapotzalco)Mexico cityMexico

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