3-D inverse solution for continuous casting taking an air cap into consideration

• Autorzy: Nowak I. , Smołka J. , Nowak A. J.
• Języki publikacji: EN

Abstrakty

EN

The paper discusses a 3-D numerical solution of the inverse boundary problem for a continuous casting process of an aluminium alloy. Since the verified information on the heat flux distribution is crucial for a good design of a mould, effective cooling system and generally the whole caster, the main goal of the analysis presented within the paper was an identification of the heat fluxes along the external walls of the ingot. In the study an enthalpy-porosity technique implemented in a commercial Fluent package was used for modelling the solidification process. In this method, the phase change interface was determined on the basis of the liquid fraction approach. Moreover, the mathematical model included the pull velocity, the temperature-dependent properties for a liquid phase, mushy zone and solid phase, and a spatially local distribution of the thermal contact resistance between the ingot and crystallizer walls. In the inverse procedure, a sensitivity analysis was employed for the estimation of the boundary conditions retrieval. Although, the measured temperatures required to solve the problem are always burdened by measurement errors, a comparison of the measured and retrieved values showed a high accuracy of the computations.

Słowa kluczowe

EN

foundry industry; application of information technology; boundary inverse problem; sensitivity analysis

PL

przemysł odlewniczy; zastosowanie technologii informatycznych; analiza wrażliwości

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2008
• Tom: Vol. 8, iss. 4
• Strony: 157--162
• Opis fizyczny: Bibliogr. 13 poz., rys., tab.

Twórcy

autor

Nowak I.

autor

Smołka J.

autor

Nowak A. J.

• Silesian University of Technology, Institute of Mathematics, Kaszubska 23, 44-100 Gliwice, Poland,

Bibliografia

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• [3] J.-M. Drezet, M. Rappaz, G. -U. Grun, M. Gremaud, Determination of Thermophysical Properties and Boundary Conditions of Direct Chill-Calst Aluminium Alloys Using Inverse Methods, Metallurgy And Materials Transactions, vol. 31 (2000) 1627-1634.
• [4] A. J. Nowak, BEM Approach to Inverse Thermal Problems, Chapter 10 in D. B. Ingham, L. C. Wrobel, Boundary Integral Formulations for Inverse Analysis, Computational Mechanics Publications, Southampton (1997).
• [5] I. Nowak, A. J. Nowak, L. C. Wrobel, Tracking of Phase Change Front for Continuous Casting - Inverse BEM Solution, in Inverse Problems in Engineering Mechanics II, Proceedings of ISIP 2000, Nagano, Japan (2000) 71-80.
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• [8] Fluent Product Documentation, www.fluent.com.
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• [12] I. Nowak, J. Smołka, A. J. Nowak, Effective inverse procedure for retrieving boundary condition in three-dimensional continuous casting problem, Proceedings of the International conference on the Inverse Problems in Engineering, Paris, 2008.
• [13] J. V. Beck, B. Blackwell, Inverse Problem, in W. J. Minkowycz, E. M. Sparrow, G. E. Schneider, R. H. Pletcher, Handbook of Numerical Heat Transfer, Wiley, New York (1988).