Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30184
A Reproduction of Boundary Conditions in Three-Dimensional Continuous Casting Problem

Authors: Iwona Nowak, Jacek Smolka, Andrzej J. Nowak


The paper discusses a 3D numerical solution of the inverse boundary problem for a continuous casting process of alloy. The main goal of the analysis presented within the paper was to estimate heat fluxes along the external surface of the ingot. The verified information on these fluxes was crucial for a good design of a mould, effective cooling system and generally the whole caster. In the study an enthalpy-porosity technique implemented in Fluent package was used for modeling the solidification process. In this method, the phase change interface was determined on the basis of the liquid fraction approach. In inverse procedure the sensitivity analysis was applied for retrieving boundary conditions. A comparison of the measured and retrieved values showed a high accuracy of the computations. Additionally, the influence of the accuracy of measurements on the estimated heat fluxes was also investigated.

Keywords: Boundary inverse problem, sensitivity analysis, continuous casting, numerical simulation.

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1188


[1] J. M. Drezet, M. Rappaz, G. U. Grn and M. Gremaud Determination of Thermophysical Properties and Boundary Conditions of Direct Chill- Calst Aluminium Alloys Using Inverse Methods Metall. And Materials Trans. A 31 p.1627-1634, 2000.
[2] I. Nowak, A. J. Nowak and L. C. Wrobel, Boundary and geometry inverse thermal problems in continuous casting, Inverse Problems in Engineering Mechanics IV (eds. M. Tanaka and G.S. Dulikravich), Nagano, Japan: Elsevier p.21-32, 2003.
[3] A. J. Nowak, BEM Approach to Inverse Thermal Problems, Chapter 10 in Boundary Integral Formulations for Inverse Analysis (eds. Ingham D B, Wrobel L C), Southampton UK: Comp. Mech. Publications, 1997.
[4] Fluent Product Documentation,
[5] K. Kurpisz and A. J.Nowak, Inverse Thermal Problems, Southamption, UK: Comp. Mech. Publications, 1995.
[6] V. R. Voller and C. Prakash, A Fixed-Grid Numerical Modeling Methodology for Convection-Diffusion Mushy Region Phase-Change Problems, Int. J. Heat Mass Transfer, 30 p.1709-1720, 1987.
[7] J. A. Dantzig, Improvement transient response of termpocouple sensors, Rev. Sci. Instrum. 56(5) p.723-725, 1985.
[8] J. V. Beck, B. Blackwell, Inverse Problem Handbook of Numerical Heat Transfer (eds. Minkowycz W J, Sparrow E M, Schneider G E and Pletcher R H), New York: Wiley Intersc., 1988.
[9] I. Nowak, A. J. Nowak and L. C. Wrobel, Tracking of Phase Change Front for Continuous Casting - Inverse BEM Solution, Inverse Problems in Engineering Mechanics II, (eds. M. Tanaka and G.S. Dulikravich), Nagano, Japan: Elsevier, p.71-80, 2000.
[10] R. Conde, M. T. Parra, F. Castro, J. M. Villafruella, M. A. Rodriguez, C. Mendez, Numerical model for two-phase solidification problem in a pipe, Applied Thermal Engineering, 24, p.2501-2509, 2004.
[11] T. A. Blase, Z. X. Guo, Z. Shia, K. Long, W. G. Hopkins, 3D conjugate heat transfer model for continuous wire casting, Materials Science and Engineering, 365, p.318-324, 2004.
[12] Z. Guoa, N. Saunders, A. P. Miodownik, J. -P. Schille, Modelling of materials properties and behaviour critical to casting simulation, Materials Science and Engineering, 413, p.465-469, 2005.