Title: Identification of cast steel latent heat by means of gradient method

Authors: Ewa Majchrzak, Miroslaw Dziewonski, Grazyna Kaluza

Addresses: Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Konarskiego 18a, Gliwice 44-100, Poland; Institute of Mathematics and Computer Science, Czestochowa University of Technology, Dabrowskiego 73, Czestochowa 42-200, Poland. ' Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Konarskiego 18a, Gliwice 44-100, Poland. ' Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Konarskiego 18a, Gliwice 44-100, Poland

Abstract: The inverse problem consisting of the identification of volumetric latent heat of steel cast is presented. Additionally, it is assumed that the courses of temperature at the set of points from casting and/or mould are known. Thermal processes proceeding in a casting domain are described using the one-domain formulation. The substitute thermal capacity of steel cast (this parameter is directly connected with the latent heat) is approximated by the fourth-degree polynomial. To solve the inverse problem, the least squares criterion containing the sensitivity coefficients is applied. The solution of the problem is found using the numerical methods (FDM, explicit scheme). In the final part of this paper, the numerical solutions concerning the different input data are presented. The disturbed data are also taken into account. [Received 16 May 2007; Accepted 17 July 2007]

Keywords: analysis; modelling; numerical techniques; casting; solidification; inverse problems; finite difference method; parameter identification; cast steel; latent heat; gradient method.

DOI: 10.1504/IJCMSSE.2007.017250

International Journal of Computational Materials Science and Surface Engineering, 2007 Vol.1 No.5, pp.555 - 570

Published online: 21 Feb 2008 *

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