Analysis of the Slab Temperature, Thermal Stresses and Fractures Computed with the Implementation of Local and Average Boundary Conditions in the Secondary Cooling Zones

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The numerical simulations of the temperature fields have been accomplished for slab casting made of a low carbon steel. The casting process of slab of 1500 mm in width and 225 mm in height has been modeled. Two types of boundary condition models of heat transfer have been employed in numerical simulations. The heat transfer coefficient in the first boundary condition model was calculated from the formula which takes into account the slab surface temperature and water flow rate in each secondary cooling zone. The second boundary condition model defines the heat transfer coefficient around each water spray nozzle. The temperature fields resulting from the average in zones water flow rate and from the nozzles arrangement have been compared. The thermal stresses and deformations resulted from such temperature field have given higher values of fracture criterion at slab corners.

[1] J. Sengupta, B.G. Thomas, M.A. Wells, The use of water cooling during the continuous casting of steel and aluminum alloys, Metallurgical and Materials Transaction A 36A, 187-204 (2005).

[2] S. Chaudhuri, R.K. Singh, K. Patwari, S. Majumdar, A.K. Ray, A.K. Prasad Singh, N. Neogi, Design and implementation of an automated secondary cooling system for the continuous casting of billets, ISA Transactions 49, 121-129 (2010).

[3] Z. Malinowski, T. Telejko, B. Hadała, Influence of heat transfer boundary conditions on the temperature field of the continuous casting ingot, Archives of Metallurgy and Materials 57, 325-331 (2012).

[4] R.A. Hardin, K. Liu, A. Kapoor, Ch. Beckermann, A transient simulation and dynamic spray cooling control model for continuous steel casting, Metallurgical and Materials Transactions B 34B, 297-306 (2003).

[5] T. Nozaki, J.I. Matsuno, K. Murata, H. Ooi, and M. Kodama, Trans. Iron Steel Inst. Jpn. 18, 330-338 (1978).

[6] B. Petrus, K. Zheng, X. Zhou, B. G. Thomas, J. Bentsman, Real-time, model-based spray-cooling control system for steel continuous casting, Metallurgical and Materials Transactions B 42B, 87-103 (2011).

[7] W. Luo, B. Yan, Y. X. Xiong, G. H. Wen, H. L. Xu, Improvement to secondary cooling scheme for beam blank continuous casting, Ironmaking and Steelmaking 39, 125-132 (2012).

[8] M. Janik, H. Dyja, S. Berski, G. Banaszek, Two-dimensional thermomechanical analysis of continuous casting process, Journal of Materials Processing Technology 153-154, 578-582 (2004).

[9] P. D. Hodgson, K. M. Browne, D.C. Collinson, T. T. Pham, R. K. Gibbs, A mathematical model to simulate the thermo-mechanical processing of steel, Proceedings of 3rd International Seminar of the International Federation for Heat Treatment and Surface Engineering, Melbourne pp. 139-159, 1991.

[10] B. Hadała, A. Cebo-Rudnicka, Z. Malinowski, A. Gołdasz, The influence of thermal stresses and strand bending on surface defects formation in continuously cast strands, Archives of Metallurgy and Materials 56, 367-377 (2011).

[11] D. Li, M.A. Wells, Effect of water flow rate, water temperature, nozzle size and nozzle stand-off distance on the boiling water heat transfer of AISI 316 stainless steel plate, Canadian Metallurgical Quarterly 44, 59-70 (2005).

[12] Y. Ito, T. Murai, Y. Miki, M. Mitsuzono, T. Goto, Development of hard secondary cooling by high-pressure water spray in continuous casting, ISIJ International 51, 1454-1460 (2011).

[13] B. Hadała, Validation of the boundary condition models and boundary condition identification for water spray cooling of steel, 2016 Wydawnictwa AGH, Kraków,

[14] J. Falkus, Modelowanie procesu ciągłego odlewania stali, 2012 PIB, Radom

[15] Z. Malinowski, A. Cebo-Rudnicka, T. Telejko, B. Hadała, A. Szajding, Inverse method implementation to heat transfer coefficient determination over the plate cooled by water spray, Inverse Problems in Science and Engineering 23, 518-556 (2015).

[16] B. Hadała, A. Cebo-Rudnicka, Z. Malinowski, A. Gołdasz, The influence of thermal stresses and strand bending on surface defects formation in continuously cast strands, Archives of Metallurgy and Materials 56, 367-377 (2011).

[17] L. Zhang, X. Yang, S. Li, M. Li, W. Ma, Control of Transverse Corner Cracks on Low-Carbon Steel Slabs, The Minerals, Metals & Materials Society, (2014), 66, 1711-1720 (2014).

Archives of Metallurgy and Materials

The Journal of Institute of Metallurgy and Materials Science and Commitee on Metallurgy of Polish Academy of Sciences

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