Simulation of heat transfer in steel billets during continuous casting

A. Ramírez-López , R. Aguilar-López , M. Palomar-Pardavé , M. A. Romero-Romo , D. Muñoz-Negrón

International Journal of Minerals, Metallurgy, and Materials ›› 2010, Vol. 17 ›› Issue (4) : 403 -416.

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International Journal of Minerals, Metallurgy, and Materials ›› 2010, Vol. 17 ›› Issue (4) : 403 -416. DOI: 10.1007/s12613-010-0333-5
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Simulation of heat transfer in steel billets during continuous casting

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Abstract

This work is focused on the development of computational algorithms to create a simulator for solving the heat transfer during the continuous casting process of steel. The temperatures and the solid shell thickness profiles were calculated and displayed on the screen for a billet through a defined continuous casting plant (CCP). The algorithms developed to calculate billet temperatures, involve the solutions of the corresponding equations for the heat removal conditions such as radiation, forced convection, and conduction according to the billet position through the CCP. This is done by a simultaneous comparison with the kinematics model previously developed. A finite difference method known as Crank-Nicholson is applied to solve the two-dimensional computational array (2D model). Enthalpy (H I,J) and temperature (T I,J) in every node are updated at each step time. The routines to display the results have been developed using a graphical user interface (GUI) in the programming language C++. Finally, the results obtained are compared with those of industrial trials for the surface temperature of three steel casters with different plant configurations in different casting conditions.

Keywords

continuous casting / heat transfer / heat removal / simulation / numerical methods

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A. Ramírez-López, R. Aguilar-López, M. Palomar-Pardavé, M. A. Romero-Romo, D. Muñoz-Negrón. Simulation of heat transfer in steel billets during continuous casting. International Journal of Minerals, Metallurgy, and Materials, 2010, 17(4): 403-416 DOI:10.1007/s12613-010-0333-5

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References

[1]

Blasé T.A., Guo Z.X., Shi Z., et al. A 3D conjugate heat transfer model for continuous wire casting. Mater. Sci. Eng. A, 2004, 365, 318.

[2]

Brimacombe J.K. Design of continuous casting machines based on a heat-flow analysis: state-of-the-art review. Can. Metall. Q., 1976, 15(2): 163.

[3]

Choudhary S.K., Mazumdar D., Ghosh A. Mathematical modelling of heat transfer phenomena in continuous casting of steel. ISIJ Int., 1993, 33(7): 764.

[4]

Choudhary S.K., Mazumdar D. Mathematical modelling of transport phenomena in continuous casting of steel. ISIJ Int., 1994, 34(7): 584.

[5]

Choudhary S.K., Mazumdar D. Mathematical modelling of fluid flow, heat transfer and solidification phenomena in continuous casting of steel. Steel Res., 1995, 66(5): 199.

[6]

Hibbins S.G. Characterization of Heat Transfer in the Secondary Cooling System of a Continuous Slab Caster [Dissertation], 1982 Vancouver, University of British Columbia, 20.

[7]

Shi Z., Guo Z.X. Numerical heat transfer modelling for wire casting. Mater. Sci. Eng. A, 2004, 365, 311.

[8]

Thomas B.G., Samarasekera I.V., Brimacombe J.K. Comparison of numerical modeling techniques for complex, two-dimensional, transient heat conduction problems. Metall. Trans. B, 1984, 15(2): 307.

[9]

Thomas B. G., Samarasekera I.V., Brimacombe J.K. Mathematical model of the thermal processing of steel ingots: Part I. Heat flow model. Metall. Trans. B, 1987, 18(1): 119.

[10]

A. Ramírez-López, D. Muñoz-Negrón, G. Soto-Cortés, et al., Computational algorithms to simulate the steel continuous casting, Int. J. Miner. Metall. Mater., 17(2010), No.5, in press.

[11]

Das S.K. Evaluation of solid-liquid interface profile during continuous casting by a spline based formalism. Bull. Mater. Sci., 2001, 24(4): 373.

[12]

Fachinotti V.D., Cardona A. Constitutive models for steel under continuous casting conditions. J. Mater. Process. Technol., 2003, 135(1): 30.

[13]

Janik M., Dyja H. Modelling of three-dimensional temperature field inside the mould during continuous casting of steel. J. Mater. Process. Technol., 2004, 157–158, 177.

[14]

Kulkarni M.S., Babu A.S. Managing quality in continuous casting process using product quality model and simulated annealing. J. Mater. Process. Technol., 2005, 166, 294.

[15]

Lait J., Brimacombe J.K., Weinberg F. Mathematical modelling of heat flow in the continuous casting of steel. Ironmaking Steelmaking, 1974, 2, 90.

[16]

Li B.Q. Numerical simulation of flow and temperature evolution during the initial phase of steady-state solidification. J. Mater. Process. Technol., 1997, 71(3): 402.

[17]

Oliveira M.J., Malheiros L.F., Ribeiro C.A.S. Evaluation of the heat of solidification of cast irons from continuous cooling curves. J. Mater. Process. Technol., 1999, 92–93, 25.

[18]

Amin M. R., Majan A. Modeling of turbulent heat transfer during the solidification process of continuous castings. J. Mater. Process. Technol., 2006, 174, 155.

[19]

Zhang L., Rong Y.M., Shen H.F., et al. Solidification modeling in continuous casting by finite point method. J. Mater. Process. Technol., 2007, 192–193, 511.

[20]

Touloukian Y. S. Thermo-physical properties of matter. The TPRC Data Series: A Comprehensive Compilation of Data, 1970 New York, IFI/Plenum, 6.

[21]

Louhenkilpi S., Laitinen E., Nienminen R. Real-time simulation of heat transfer in continuous casting. Metall. Trans. B, 1993, 24, 685.

[22]

Welty J.R., Wicks C.E., Wilson R.E. Fundamentals of Momentum, Heat and Mass Transfer, 1984 Somerset New Jersey, John Wiley & Sons, 269.

[23]

Savage J., Pritchard W.H. The problem of rupture of the billet in the continuous casting of steel. J. Iron Steel Inst., 1954, 178, 269.

[24]

Geiger G.H. Transport Phenomena in Metallurgy, 1987 New York, Addison Wesley Publishing, 285.

[25]

Heat Transfer Problem Solvers, Research & Education Association (REA’s), Piscataway New Jersey, 1993, p.17.

[26]

J. Crank and P. Nicholson, A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type, [in] Proceedings of the Cambridge Philosophical Society, Cambridge, 1947, p.50.

[27]

Gerald C.F., Wheatley P.O. Applied Numerical Analysis, 1994 Massachusetts, Addison Wesley Publishing Company, 616.

[28]

S. Louhenkilpi, Simulation and control of heat transfer in continuous casting of steel, Acta Polyt. Scand. Chem. Technol. Ser., 1995, No.230, p.232.

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