Estimation of a source term in a quasi steady two-dimensional heat transfer problem: application to an electron beam welding
Estimation of a source term in a quasi steady two-dimensional heat transfer problem: application to an electron beam welding
Jia-Lin GUO1(), P. Le MASSON2, E. ARTIOUKHINE3, T. LOULOU2, P. ROGEON2, M. CARIN2, M. DUMONS2, J. COSTA2
1. Department of Materials Engineering, School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, China; 2. LET2E/ETM Laboratoire d’Etudes Thermique Energétique et Environnement, Equipe Thermophysique et Matériaux, Université de Bretagne Sud, C.U.R.S.T., F-56321 Lorient Cedex, France; 3. Institut FEMTO-ST, Département CREST, CNRS, Belfort, France
In previous work, we have analyzed the feasibility of the estimation for a source term S(x, y, z) in a transversal section. The present study is concerned with a two-dimensional inverse phase change problem. The goal is the estimation of the dissipated heat flux in the liquid zone (reconstruction of a source term in the energy equation) from experimentally measured temperatures in the solid zone. This work has an application in the electron beam welding of steels of thickness about 8 cm. The direct thermo-metallurgical problem is treated in a quasi steady two-dimensional longitudinal section (x, y). The beam displacement is normally in the y direction. But in the quasi steady simulation, the beam is steady in the study section. The sample is divided in the axial direction z in few sections. At each section, a source term is defined with a part of the beam and creates a vaporized zone and a fused zone. The goal of this work is the rebuilding of the complete source term with the estimations at each section. In this paper, we analyze the feasibility of the estimation. For this work, we use only the simulated measurements without noise.
. Estimation of a source term in a quasi steady two-dimensional heat transfer problem: application to an electron beam welding[J]. Frontiers of Materials Science, 2011, 5(2): 126-134.
Jia-Lin GUO, P. Le MASSON, E. ARTIOUKHINE, T. LOULOU, P. ROGEON, M. CARIN, M. DUMONS, J. COSTA. Estimation of a source term in a quasi steady two-dimensional heat transfer problem: application to an electron beam welding. Front Mater Sci, 2011, 5(2): 126-134.
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