Inverse finite element technique for identification of thermal resistance of gas-gap between the ingot and mould in continuous casting of metals

Inverse Problems in Science and Engineering

Volumn 12, Issue 2, 2004, Pages 141-155

  Nawrat, Aleksander ^a   Skorek, Janusz ^a  

^a SILESIAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; FINITE ELEMENT METHOD; HEAT CONDUCTION; HEAT TRANSFER; INGOTS; INVERSE PROBLEMS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; METAL CASTING; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING; SOLIDIFICATION; STATISTICAL METHODS; TEMPERATURE DISTRIBUTION;

LEAST SQUARE ADJUSTMENT METHOD (LASM); SOLID-SOLID INTERFACE LOCATIONS;

HEAT RESISTANCE;

EID: 1542345468     PISSN: 17415977     EISSN: None     Source Type: Journal    
DOI: 10.1080/10682760310001598580     Document Type: Conference Paper

References (18)

1. H.J. Carslaw and J.C. Jäger (1959). Conduction of Heat in Solids. Oxford University Press, Oxford.
2. H.W. Engl, T. Langthaler and Linz (1985). Numerical solution of an inverse problem connected with continuous casting of steel. ZOR-Zeitschrift Operations Research, 29, 185-199.
3. H.W. Engl, T. Langthaler and P. Manselli (1987). On an inverse problem for a nonlinear heat equation connected with continuous casting of steel. In: K.H. Hoffmann and W. Krabs (Eds.), w: Optimal Control of Partial Differential Equations II: Theory and Applications, pp. 67-89. Birkhäuser Basel.
4. J.C. Heinrich and O.C. Zienkiewicz (1977). Quadratic finite element schemes for two-dimensional convective - transport problems. Computer Methods in Applied Mechanics & Engineering, Vol. 11, pp. 1831-1844. North Holland.
5. E. Hensel (1991). Inverse Theory and Applications for Engineers. Prentice Hall Advanced Reference Series.
6. K. Ho - Le (1988). Finite element mesh generation methods: a review and classification. Computer Aided Design, 20, 27-38.
7. N. Kikuchi (1987). Finite Element Methods in Mechanics. Cambridge University Press, Cambridge.
8. K. Kurpisz and A.J. Nowak (1995). Inverse Thermal Problems. Computational. Mechanics Publications, Bath.
9. A. Nawrat and R. Grzymkowski (2000). Automatic mesh generation for curved two-dimensional domains. European Congress on Computational Methods in Applied Science and Engineering. ECCOMASS 2000, Barcelona.
10. M.N. Özisik (1980). Heat Conduction. Wiley, New York.
11. B. Prinz (1994). Measuring and modelling of the influence of coatings on the heat transfer between melt/casting and mould during the permanent mould casting of aluminium alloys. COST 504/III Report. Aachen, Germany.
12. J.N. Reddy (1993). An Introduction to the Finite Element Method. MCGraw-Hill, USA.
13. P. Schmidt (1994). Heat transfer in permanent mould casting. Proceedings of the COST 504 Conference Advanced Casting and Solidification Technology.
14. J. Skorek (1997). Applying inverse technique for identification of thermal resistance between cast and mould during permanent casting of metals. HTD-Vol. 340. National Heat Transfer Conference, Vol. 2, pp. 25-31. ASM E.
15. J. Skorek (1993). Applying the least squares adjustment technique for solving inverse boundary heat conduction problems. In: R.W. Lewis, et al. (Eds.), Numerical Methods in Thermal Problems. Pineridge Press Limited, London.
16. J. Skorek (1983). Applying stochastic method for solving inverse heat conduction problems (in Polish). Proceedings of the Symposium on Eat and Mass Transfer. Warsaw.
17. J. Szargut et al. (1984). The Least Square Adjustment Technique in Thermal Engineering. PAN, Wrocaw (in Polish).
18. J. Szargut and J. Skorek (1991). Influence of the Preliminary Estimation of Unknowns on the Results of Co-ordination of Substances and Energy Balances. Bulletin, of Polish Academy of Sciences, Thermodynamics, 39(2), 335.