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Modeling of Slab Induction Heating in Hot Rolling by FEM

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DOI: 10.4236/eng.2011.34041    5,147 Downloads   9,760 Views   Citations


FEM (Finite Element Method) has been widely used to solve temperature in hot rolling. The heat gen-erating rate of electromagnetic field has been discussed in order to improve the efficiency and accuracy in the solution of induction heating. A new heat generating rate model was proposed and derived from the calculated results by FEM software in consideration of work frequency, source current density, and the air gap between induction coil and slab. The calculated distribution of heat generating rate in the skin depth by the model is satisfying and reliable compared with that of FEM software. Then, the mathematic model of the heat generating rate model is considered as the density of heat reservoir to solve the temperature in induction heating. Moreover, the temperature evolution of slab in induction heating from a hot rolling plant has been solved by the developed FE code and the calculated temperature has a good agreement with the measured value. Therefore, the heat generating rate model is suitable and efficiency to solve the temperature in induction heating by FEM.

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The authors declare no conflicts of interest.

Cite this paper

R. Mei, C. Li, X. Liu, B. Li and B. Han, "Modeling of Slab Induction Heating in Hot Rolling by FEM," Engineering, Vol. 3 No. 4, 2011, pp. 364-370. doi: 10.4236/eng.2011.34041.


[1] F. Cajner, B. Smoljan and D. Landek, “Computer Simulation of Induction Hardening,” Journal of Materials Processing Tech-nology, Vol. 157-158, 20 December 2004, pp. 55-60. doi:10.1016/j.jmatprotec.2004.09.017
[2] O. Bodart, A.-V. Boureau and R. Touzani, “Numerical Investigation of Optimal Control of Induction Heating Processes,” Applied Mathematical Modelling, Vol. 25, No. 8, August 2001, pp. 697-712. doi:10.1016/S0307-904X(01)00007-5
[3] Y. Favennec, V. Labb and F. Bay, “Induction Heating Processes Optimization a General Optimal Control Approach,” Journal of Computational Physics, Vol. 187, No. 1, 2003, pp. 68-94. doi:10.1016/S0021-9991(03)00081-0
[4] H. Shen, Z. Q. Yao, Y. J. Shi and J. Hu, “Study on Temperature Field Induced in High Frequency Induction Heating,” Acta Metallurgica Sinica (English Letters), Vol. 19, No. 3, 2006, pp. 190-196. doi:10.1016/S1006-7191(06)60043-4
[5] H. Kawaguchi, M. Enokizono and T. Todaka, “Thermal and Magnetic Field Anal-ysis of Induction Heating Problems,” Journal of Materials Processing Technology, Vol. 161, No.1-2, 2005, pp. 193-198. doi:10.1016/j.jmatprotec.2004.07.075
[6] N. V. Ross and G. J. Jackson, “Induction Heating of Strip Solenoidal and Transverse Flux,” Iron and Steel Engineer, Vol. 68, No. 6, June 1992, pp. 39-43.
[7] R. B. Mei, C. S. Li, B. Han and X. H. Liu, “FEM Analysis of Slab Induction Heating,” Iron and Steel, Vol. 43, No. 2, 2008, pp. 56-60.
[8] D.-C. Ko, G.-S. Min, B.-M. Kim and J.-C. Choi, “Finite Element Analysis for the Semi-Solid State Forming of Aluminium Alloy Considering Induction Heating,” Journal of Materials Processing Technology, Vol. 100, No. 1-3, 2000, pp. 95-104. doi:10.1016/S0924-0136(99)00459-8
[9] G. B. Zhang, Y. H. Wang and X. X. Dong, “The Finite Element Simulation of Continuous Casting of Square Billet during the Induction Heating,” Journal of He-bei Institute of Technology, Vol. 27, No. 4, 2005, pp. 24-30.
[10] X. H. Liu, “Rigid Plastic FEM and Its Application in Rolling,” Metallurgy Industry Press, Beijing, 1994, pp. 300-324.

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