Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-12-03T19:50:09.586Z Has data issue: false hasContentIssue false

A novel finite element method for heat transfer in the continuous caster

Published online by Cambridge University Press:  17 February 2009

Yong-Hong Wu
Affiliation:
Department of Mathematics, University of Wollongong, Wollongong, N.S.W.
James M. Hill
Affiliation:
Department of Mathematics, University of Wollongong, Wollongong, N.S.W.
Paul J. Flint
Affiliation:
B.H.P. Research, Newcastle Laboratories, Newcastle, N.S.W.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In the continuous casting of steel, many problems, such as surface cracks in solidified steel and breakouts of molten steel from the bottom of moulds, frequently occur in practice. It is believed that the occurrence of these problems is directly related to the events in the mould, especially the transfer of heat from the strand surface across the lubricating mould powder and its interface with the mould wall to the mould cooling-water. However, as far as the authors are aware, there is no published work dealing with heat transfer across both the lubricating layer and the interface. Generally, a parameter representing the average overall heat transfer coefficient between the strand surface and the mould cooling-water is employed, instead of including the lubricating layer, the mould wall and their interface in the computation region. The existing treatment consequently does not permit analysis of some of the more important phenomena, such as the effect of mould powder properties and interface thermal contact resistance on the solidification of steel. In this paper, a novel finite element model is developed and the heat transfer across the interface between the lubricating layer and the mould wall is simulated by introducing a new type of element, referred to as the thermal contact element. The proposed model is used to investigate the effect of various casting parameters on heat transfer from the molten steel to the cooling-water. The results indicate that the thermal contact resistance between the mould wall and the mould powder is a key factor which dominates the thickness of the solidified steel shell and the heat extraction rate from the mould wall.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Bland, D. R., “Flux and the continuous casting of steel”, IMA J. of Appl. Math. 32 (1984) 89112.CrossRefGoogle Scholar
[2]Brimacombe, J. K., Samarasekera, I. V. and Laid, J. E. (eds.), Continuous casting, Vol. 2 Heat flow, solidification and crack formation (Iron and Steel Society, AIME, 1983).Google Scholar
[3]Flint, P. J., “A three dimensional finite difference model of heat transfer, fluid flow and solidification in the continuous slab caster”, Proc. 73rd ISS steelmaking Conf., Detroit MI, March 25–28 (1990).Google Scholar
[4]Fowkes, N. and Woods, A., “The flux of flux in a continuous steel caster”, Department of Mathematics Research Report, University of Western Australia (1989).Google Scholar
[5]Garcia, A., Medeiros, M. D. and Filho, M. Prates de Campos, “Mathematical analysis of thermal behaviour of metal/mould systems during unidirectional solidification”, Proc. of the Int. Conf. on Solidification Technology in the Foundry and Cast house, Metals Society, London (1983) 2732.Google Scholar
[6]Gautier, J. J., Morillon, Y. and Dumont-Fillon, J., “Mathematical study of the continuous casting of steel”, Procs. of the Conference on Mathematical Models in Metallurgical Development, The Iron and Steel Institute, London (1969) 178185.Google Scholar
[7]Grill, A., Sorimachi, K. and Brimacombe, J. K., “Heat flow, gap formation and break-outs in the continuous casting of steel slabs”, Met. Trans. B7 (1976) 177189.CrossRefGoogle Scholar
[8]Hong, C. P., Umeda, T. and Kimura, T., “Numerical models for casting solidification: Part 1, the coupling of the boundary element and finite difference methods for solidification problems; Part 2, application of the boundary element method to solidification problems”, Metallurgical Transactions B 15 (1984) 91107.CrossRefGoogle Scholar
[9]Lait, J. E., Brimacombe, J. K. and Weinberg, F., “Mathematical modelling of heat flow in the continuous casting of steel”, Ironmaking and Steelmaking 1 (1974) 9097.Google Scholar
[10]Laitinen, E. and Neittaanmaki, P., “On numerical simulation of the continuous casting process”, J. Eng. Math. 22 (1988) 335354.CrossRefGoogle Scholar
[11]Mills, K. C., Olusanya, A., Brooks, R., Morrell, R. and Bagha, S., “Physical properties of casting powders: part 4 physical properties relevant to fluid and thermal flow”, Ironmaking and Steelmaking 15 (1988) 257264.Google Scholar
[12]Ohmiya, S., Tacke, K. H. and Schwerdtfeger, K., “Heat transfer through layers of casting fluxes”, Ironmaking and Steelmaking 10 (1983) 2430.Google Scholar
[13]Ozisik, M. Necati (ed.), Heat transfer (McGraw - Hill, New York, 1985).Google Scholar
[14]Schmidt, L. and Fredriksson, H., “Formation of macro-segregation and centre-line cracks in continuously cast”, Ironmaking and Steelmaking 2 (1975) 6167.Google Scholar
[15]Soejima, Toshiyuki, Kitamura, Minoru, Koyama, Shinji and Abu, Junji, Surface quality of continuous cast slabs at Kobe Steel's Kakogawa Works (Iron and Steel Society, AIME, USA, 1987) 6773.Google Scholar
[16]Taylor, R. and Mills, K. C., “Physical properties of casting powders: part 3 thermal conductivities of casting powders”, Ironmaking and Steelmaking 15 (1988) 187194.Google Scholar
[17]Upton, E. A., Rao, T. R. S., Dauby, P. H. and Knechtges, R. C., “Physical metallurgy and mathematical modelling as tools for continuous casting optimization at LTV steel”, Ironmaking and Steelmaking 15 (1988) 5157.Google Scholar
[18]Voller, V. R. and Prakash, C., “A fixed grid numerical modelling methodology for convection-diffusion mushy region phase-change problems”, Int. J. Heat and Mass Transfer 30 (1987) 17091719.Google Scholar
[19]Wu, Y. H., Hill, J. M. and Flint, P. J., “Numerical simulation of heat transfer and solidification in the continuous casting of steel”, Department of Mathematics Research Report, The University of Wollongong, NSW 2500, Australia (1991).Google Scholar
[20]Zienkiewicz, O. C. (ed.), The finite element method in engineering science (McGraw P Hill, London, 1979).Google Scholar