Numerical calculations of the heat-transfer coefficient during solidification of alloys

Computational and Experimental Methods

Volumn 4, Issue , 2001, Pages 41-50

  Grzymkowski, R ^a   Slota, D ^a  

^a SILESIAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FUSION REACTIONS; INTERFACES (MATERIALS); MATHEMATICAL MODELS; MIXTURES; OPTIMIZATION; SOLIDIFICATION; THERMAL EFFECTS;

LIQUID PHASE; LIQUIDUS INTERFACES; NELDER-MEAD OPTIMIZATION; SPECTRAL LATENT HEAT OF FUSION;

HEAT TRANSFER;

EID: 2942549510     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (22)

1. Alberny, R., Perroy, A., Amory, D., Lahousse, M. Optimisation du refroidissement secondaire en coulée continue de brames d'acier extra-doux. Rev. Métall., 75, pp. 353-362, 1978.
2. Ang, D. D., Pham Ngoc Dinh, A., Thanh, D. N. A bidimensional inverse Stefan problem: identification of boundary value. J. Comput. Appl. Math., 80, pp. 227-240, 1997.
3. Ang, D. D., Pham Ngoc Dinh, A., Thanh, D. N. Regularization of a two-dimensional two-phase inverse Stefan problem. Inverse Probl., 13, pp. 607-619, 1997.
4. Bénard, C., Guerrier, B., Liu, H. G., Wang, X. Inverse 2d phase change problem. System Modelling and Optimization, eds. J. Henry, et al., Springer Verlag: London, pp. 612-623, 1994.
5. Bunday, B. D. Basic Optimization Method, Edward Arnolds Publ.: London, 1984.
6. Colton, D. The inverse Stefan problem for the heat equation in two space variables. Mathematika, 21, pp. 282-286, 1974.
7. Colton, D., Reemtsen, R. A numerical method for solving the inverse Stefan problem in two space variables. Improperly Posed Problems and their Numerical Treatment, eds. G. Hammerlin & K. H. Hoffmann, Birkhäuser: Basel, pp. 57-63, 1983.
8. Colton, D., Reemtsen, R. The numerical solution of the inverse Stefan problem in two space variables. SIAM J. Appl. Math., 44, pp. 996-1013, 1984.
9. Gorenflo, R., Ang, D. D., Thanh, D. N. Regularization of a two-dimensional inverse Stefan problem. Inverse problems and applications to geophysics, industry, medicine and technology, eds. D. D. Ang, et al., HoChiMinh City Math. Soc.: HoChiMinh City, pp. 45-54, 1995.
10. Grzymkowski, R., Słota, D. Approximation method for inverse problems of heat conduction. Proc. 20th Int. Conf. Information Technology Interfaces ITI'98, eds. D. Kalpić & V. H. Dobrić, University of Zagreb: Pula, pp. 389-397, 1998.
11. Grzymkowski, R., Słota, D. Approximation method for inverse Stefan problems. Proc. 16th IMACS World Congress 2000 on Scientific Computation, Applied Mathematics and Simulation, eds. M. Deville & R. Owens, IMACS: Lausanne, pp. 1-4 (312-13), 2000.
12. Grzymkowski, R., Słota, D. Optimization method for two-dimensional inverse Stefan problems. Proc. of the IASTED International Conference on Modelling and Simulation, ed. M. H. Hamza, IASTED/Acta Press: Anaheim, pp. 608-612, 1999.
13. nd ESAFORM Conference on Material Forming, ed. J. A. Covas, University of Minho: Guimaraes, pp. 593-596, 1999.
14. Jochum, P. The inverse Stefan problem as a problem of nonlinear approximation theory. J. Approx. Theory, 30, pp. 81-98, 1980.
15. Jochum, P. The numerical solution of the inverse Stefan problem. Numer. Math., 34, pp. 411-429, 1980.
16. Jochum, P. To the numerical solution of an inverse Stefan problem in two space variable. Numerical treatment of free boundary value problems, eds. J. Albrecht, L. Collatz & K. H. Hoffmann, Birkhäuser: Basel, pp. 127-136, 1982.
17. Kang, S., Zabaras, N. Control of freezing interface motion in two-dimensional solidification processes using the adjoint method. Int. J. Numer. Methods Eng., 38, pp. 63-80, 1995.
18. Kapusta, A., Mochnacki, B. The analysis of heat transfer processes in the cylindrical radial continuous casting volume. Bull. Pol. Acad. Sci., Tech. Sci., 36, pp. 309-320, 1988.
19. Słota, D. Inverse Problems in Modelling of Process with Phase Change, PhD thesis, Silesian Technical University: Gliwice, 1999 (in Polish).
20. Thanh, D. N. A two-dimensional inverse Stefan problem with boundary flux-temperature relation prescribed. Numerical Analysis and Applications, eds. H. A. Nguyen, et al., HoChiMinh City Math. Soc.: Ho Chi Minh City, pp. 61-68, 1995.
21. Zabaras, N., Ruan, Y., Richmond, O. Design of two-dimensional Stefan processes with desired freezing front motions. Numer. Heat Transf. B, 21, pp. 307-325, 1992.
22. Zabaras, N., Yuan, K. Dynamic programming approach to the inverse Stefan design problem. Numer. Heat Transf. B, 26, pp. 97-104, 1994.