Comptes Rendus
no. 5-6
Microgravity and Transfers/Solidification, crystal growth from the melt
Modelling of binary alloy solidification in the MEPHISTO experiment
[Modélisation de la solidification d'un alliage binaire dans le dispositif expérimental MEPHISTO]
Eddie Leonardi1  ; Graham de Vahl Davis1  ; Victoria Timchenko1  ; Peter Chen1  ; Reza Abbaschian2
1 School of Mechanical and Manufacturing Engineering, The University of New South Wales, Sydney, NSW 2052, Australia
2 Department of Materials Science and Engineering, University of Florida, Gainesville, FL 32611, USA
Comptes Rendus. Mécanique, Volume 332 (2004) no. 5-6, pp. 403-411.

Une méthode enthalpique est adaptée pour la modélisation d'une expérience de solidification dirigée de l'alliage bismuth-étain qui a eu lieu en 1997 durant le vol du dispositif MEPHISTO-4 embarqué dans la navette spatiale américaine Columbia. Ce modèle a été implémenté conjointement dans un code du laboratoire SOLCON et dans le code commercial CFX. L'effet Soret a été pris en compte en introduisant des termes de thermo-diffusion additionnels dans l'équation de transport solutal. Les effets de la convection thermique et solutale en microgravité ainsi que ceux de la température de changement de phase qui est une fonction de concentration ont également été pris en compte. Dans cet article une revue des résultats faisant partie du projet MEPHISTO est présentée. Les solutions numériques sont comparées aux relevés expérimentaux.

A modified enthalpy method was used to numerically model experiments on solidification of a bismuth-tin alloy which were performed during the 1997 flight of the MEPHISTO-4 experiment on the US Space Shuttle Columbia. This modified enthalpy method was incorporated into an in-house code SOLCON and a commercial CFD code CFX; Soret effect was taken into account by including an additional thermo-diffusion term into the solute transport equation and the effects of thermal and solutal convection in the microgravity environment and of concentration-dependent melting temperature on the phase change processes were also included. In this paper an overview of the results obtained as part of MEPHISTO project is presented. The numerical solutions are compared with actual microprobe results obtained from the MEPHISTO experiment.

Publié le :
DOI : 10.1016/j.crme.2004.02.010
Keywords: Heat transfer, Solidification, Microgravity, MEPHISTO experiment
Mot clés : Transferts thermiques, Solidification, Microgravité, Expérience MEPHISTO
Eddie Leonardi 1 ; Graham de Vahl Davis 1 ; Victoria Timchenko 1 ; Peter Chen 1 ; Reza Abbaschian 2

1 School of Mechanical and Manufacturing Engineering, The University of New South Wales, Sydney, NSW 2052, Australia
2 Department of Materials Science and Engineering, University of Florida, Gainesville, FL 32611, USA 
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Eddie Leonardi; Graham de Vahl Davis; Victoria Timchenko; Peter Chen; Reza Abbaschian. Modelling of binary alloy solidification in the MEPHISTO experiment. Comptes Rendus. Mécanique, Volume 332 (2004) no. 5-6, pp. 403-411. doi : 10.1016/j.crme.2004.02.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.02.010/

[1] R. Abbaschian, H.C. de Groh III, E. Leonardi, G. de Vahl Davis, S. Coriell, G. Cambon, Final report for the shuttle flight experiment on USMP-4: In situ monitoring of crystal growth using MEPHISTO, NASA Technical Publication, NASA/TP-2001-210825, 2001

[2] V. Timchenko; P.Y.P. Chen; G. de Vahl Davis; E. Leonardi; R. Abbaschian A computational study of transient plane front solidification of alloys in a Bridgman apparatus under microgravity conditions, Int. J. Heat Mass Transfer, Volume 43 (2000), pp. 963-980

[3] J.P. Garandet; J.P. Praizey; S. Van Vaerenbergh; T. Alboussiere On the problem of natural convection in liquid phase thermotransport coefficients measurements, Phys. Fluids, Volume 9 (1997), pp. 510-518

[4] V. Timchenko; P.Y.P. Chen; E. Leonardi; G. de Vahl Davis; R. Abbaschian A computational study of binary alloy solidification in the Mephisto experiment, Int. J. Heat & Fluid Flow, Volume 23 (2002) no. 3, pp. 258-268

[5] V.G. Smith; W.A. Tiller; J.W. Rutter A mathematical analysis of solute redistribution during solidification, Canad. J. Phys., Volume 33 (1955), pp. 723-743

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