Estimation of Boundary Conditions using Inverse Stationary Methods

  1. Prof. Yves Bréchet
  1. J.-M. Drezet1,
  2. G.-U. Grün2 and
  3. M. Gremaud3

Published Online: 19 DEC 2005

DOI: 10.1002/3527606157.ch47

Microstructures, Mechanical Properties and Processes - Computer Simulation and Modelling, Volume 3

Microstructures, Mechanical Properties and Processes - Computer Simulation and Modelling, Volume 3

How to Cite

Drezet, J.-M., Grün, G.-U. and Gremaud, M. (2000) Estimation of Boundary Conditions using Inverse Stationary Methods, in Microstructures, Mechanical Properties and Processes - Computer Simulation and Modelling, Volume 3 (ed Y. Bréchet), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527606157.ch47

Editor Information

  1. Institut Nat. Polytechnique de Grenoble, L.T.P.-C.M. ENSEEG, BP75, Domaine Universitaires, 38402 Saint Martin D'Hères Cedex, France; Tel.: 0033–76–82 6610; Fax: 0033–76–82 6644

Author Information

  1. 1

    Laboratoire de Métallurgie Physique, EPFL, MX-G, CH-1015 Lausanne, Switzerland

  2. 2

    VAW Aluminum AG, D-53117 Bonn, Germany

  3. 3

    CALCOM SA PSE-EPFL, CH-1015 Lausanne, Switzerland

Publication History

  1. Published Online: 19 DEC 2005
  2. Published Print: 20 APR 2000

Book Series:

  1. EUROMAT 99

ISBN Information

Print ISBN: 9783527301225

Online ISBN: 9783527606153

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Keywords:

  • microstructures;
  • computer simulation;
  • modelling of processes;
  • estimation of boundary conditions;
  • inverse stationary methods

Summary

In order to quantify the cooling conditions undergone by an ingot during DC casting, thermocouples have been immersed in the liquid pool and consequently entrapped in the solid, thus monitoring the temperature of the metal during its descent. Assuming stationary thermal conditions, the time-dependent temperatures measured by these thermocouples were then converted into space-dependent temperature profiles. These values were the input of a Maximum A Posteriori (MAP) inverse method described by Rappaz et al., which has been adapted in this case to stationary thermal conditions. This MAP method allowed to deduce the highly non-uniform heat flux distribution along the ingot rolling faces. The obtained values are in good agreement with literature and clearly reflect the widely different boundary conditions associated with primary (contact with the mold) and secondary cooling (water jet).