A computational study of transient plane front solidification of alloys in a Bridgman apparatus under microgravity conditions

International Journal of Heat and Mass Transfer

Volumn 43, Issue 6, 2000, Pages 963-980

  Timchenko, V ^a   Chen, P Y P ^a   Leonardi, E ^a   De Vahl Davis, G ^a   Abbaschian, R ^b  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b University of Florida   (United States)

Author keywords

Bridgman furnace; Computational; Crystal growth; Microgravity; Solidification

Indexed keywords

BINARY ALLOYS; CRYSTAL GROWTH; ENTHALPY; FUNCTIONS; HEAT CONVECTION; HEAT TRANSFER; INDUSTRIAL FURNACES; INTERFACES (MATERIALS); MATHEMATICAL MODELS; MELTING; PHASE DIAGRAMS; THERMAL EFFECTS;

BRIDGMAN FURNACE; FIXED GRID SINGLE DOMAIN APPROACH; MELTING TEMPERATURE; MICROGRAVITY CONDITION; VORTICITY STREAM FUNCTIONS;

SOLIDIFICATION;

CRYSTALLIZATION; GRAVITY; MATHEMATICAL MODELING; SOLIDIFICATION;

EID: 0342313858     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(99)00176-3     Document Type: Article

References (15)

1. Chang C.J., Brown R.A. Radial segregation induced by natural convection and melt/solid interface shape in vertical Bridgman growth. J. Crystal Growth. 63:1983;343-364.
2. Adornato P.M., Brown R.A. Convection and segregation in directional solidification of dilute and non-dilute binary alloys: effects of ampoule and furnace design. J. Crystal Growth. 80:1987;155-190.
3. Alexander J.I.D., Ouazzani J., Rosenberger F. Analysis of the low gravity tolerance of Bridgman-Stockbarger crystal growth: I. steady and impulse accelerations. J. Crystal Growth. 97:1989;285-302.
4. M. Yao, R. Raman, H.C. de Groh III, Numerical simulation of heat and mass transport during space crystal growth with MEPHISTO. NASA Technical Memorandum 107015, 1995.
5. Bennon W., Incropera F. A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems: I. Model formulation. Int. J. Heat Mass Transfer. 30:1987;2161-2170.
6. Bennon W., Incropera F. A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems: II. Application to solidification in a rectangular cavity. Int. J. Heat Mass Transfer. 30:1987;2171-2187.
7. Voller V.R., Brent A.D., Prakash C. The modelling of heat, mass and solute transport in solidification systems. Int. J. Heat Mass Transfer. 32:1989;1719-1731.
8. Zeng X., Faghri A. Temperature-transforming model for binary solid-liquid phase-change problems: I. Mathematical modelling and numerical methodology. Numerical Heat Transfer. 25B:1994;467-481.
9. Morgan K., Lewis R.W., Zienkiewicz O.C. An improved algorithm for heat conduction problems with phase change. Int. J. Numer. Meth. Eng. 12:1978;1191-1195.
10. Samarskii A.A., Andreyev V.B. On a high-accuracy difference scheme for an elliptic equation with several space variables. USSR Comput. Math. and Math. Phys. 3:1963;1373-1382.
11. Tamamidis P., Assanis D.N. Evaluation of various high-order accuracy schemes with and without flux limiters. Int. J. Num. Methods in Fluids. 16:1993;931-948.
12. Smith V.G., Tiller W.A., Rutter J.W. A mathematical analysis of solute redistribution during solidification. Canadian J. Physics. 33:1955;723-743.
13. Timchenko V., Chen P.Y.P., de Vahl Davis G., Leonardi E., de Groh III H.C. Lee J.S. Directional Solidification in Microgravity: Heat Transfer 98. 1998;241-246 Taylor & Francis, London.
14. Chen P.Y.P., Timchenko V., Leonardi E., de Vahl Davis G., de Groh III H.C. A Numerical study of directional solidification and melting in microgravity. HTD-Vol. 361-3/PID-Vol. 3, Proc. ASME Heat Transfer Division :1998;75-83.
15. M.C. Flemings, Solidification Processing, McGraw-Hill, New York, 1974, pp. 58-61.