Convection modeling in directional solidification

Juan C. Heinrich; David R. Poirier

doi:10.1016/j.crme.2004.02.001

Microgravity and Transfer/Solidification, crystal growth from the melt

Convection modeling in directional solidification
[Modélisation de la convection au cours de la solidification directionnelle]

Juan C. Heinrich ¹ ; David R. Poirier ²

¹ Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, USA
² Department of Materials Science and Engineering, The University of Arizona, Tucson, AZ 85721, USA

Comptes Rendus. Mécanique, Microgravity / La micropesanteur, Volume 332 (2004) no. 5-6, pp. 429-445.

Résumé
Abstract

Nous exposons des modèles mathématiques et numériques de la solidification d'alliages dendritiques, binaires et multiconstituants, qui peuvent décrire la dynamique de la zone pâteuse ainsi que la région liquide. La discussion est centrée sur des modèles développés par les auteurs du présent article et basés sur la discrétisation en éléments finis des équations qui régissent les phénomènes. Nous discutons la capacité des programmes de simulation existants à modéliser les effets de la convection et de la macroségrégation qui en résulte dans les pièces coulées, et plus particulièrement la formation de « freckles » dans les monocristaux dendritiques solidifiés verticalement. Nous faisons ressortir les limites actuelles des modèles ainsi que les domaines dans lesquels des améliorations sont nécessaires. Des exemples numériques illustrent les différent aspects des simulations.

Mathematical and numerical models of solidification of binary and multicomponent dendritic alloys that can model the dynamics of the mushy zone as well as the all liquid region are examined. The discussion is centered around models based on finite element discretization of the governing equations that have been developed by the authors during the last fifteen years. The capabilities of existing simulation codes to model the effects of convection and the resulting macrosegregation in castings, and in particular, the development of ‘freckles’ in vertically solidified dendritic monocrystals are discussed. The current capabilities of the models as well as the areas in which more improvement is needed are noted. Numerical examples are presented to illustrate the different aspects of the simulations.

Publié le : 2004-04-12

DOI : 10.1016/j.crme.2004.02.001

Keywords: Dendritic solidification, Multicomponent alloys, Binary alloys, Directional solidification, Macrosegregation
Mots-clés : Solidification dendritiques, Alliages multiconstituants, Alliages binaires, Solidification directionnelle, Macroségrégation

Affiliations des auteurs :

Juan C. Heinrich ¹ ; David R. Poirier ²

¹ Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, USA
² Department of Materials Science and Engineering, The University of Arizona, Tucson, AZ 85721, USA

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Juan C. Heinrich; David R. Poirier. Convection modeling in directional solidification. Comptes Rendus. Mécanique, Microgravity / La micropesanteur, Volume 332 (2004) no. 5-6, pp. 429-445. doi : 10.1016/j.crme.2004.02.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.02.001/

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