Numerical simulation of heat transport and fluid flow in directional crystal growth of gaas

Numerical Heat Transfer; Part A: Applications

Volumn 30, Issue 7, 1996, Pages 685-701

  Yao, Minwu ^a   Matthiesen, David H ^b   Chait, Amon ^c  

^a OHIO AEROSPACE INSTITUTE   (United States)

^b CASE WESTERN RESERVE UNIVERSITY   (United States)

^c NASA GLENN RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CRYSTAL GROWTH FROM MELT; ENTHALPY; FINITE ELEMENT METHOD; FLOW OF FLUIDS; HEAT TRANSFER; MATHEMATICAL MODELS; MELTING; PHASE INTERFACES; SOLIDIFICATION;

AXISYMMETRIC FINITE ELEMENT MODEL; MELT CRYSTAL INTERFACE; TRANSIENT HEAT TRANSPORT; VERTICAL GRADIENT FREEZE CRYSTAL GROWTH SYSTEM;

SEMICONDUCTING GALLIUM ARSENIDE;

EID: 0030287107     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/10407789608913865     Document Type: Article

References (25)

1. R. A. Brown, Theory of Transport Process in Single Crystal Growth from the Melt, AIChEJ vol. 34, pp. 881-891, 1988.
2. J. A. Kafalas and A. H. Bellows, A Comparative Study of the Influence of Buoyancy Driven Fluid Flow on GaAs Crystal Growth, Prac. 1988 AIAA Conf., pp. 337-347, 1988.
3. W. Arnold, D. Jacqmin, R. Gaug, and A. Chait, Convection Phenomena in Low-Gravity Processing: The GTE GaAs Space Experiment, AIAA Paper 90-0409, 1990.
4. R. A. Brown and D. H. Kim, Modeling of Directional Solidification: From Scheil to Detailed Numerical Simulation, J. Cryst. Growth, vol. 109, pp. 50-65, 1991.
5. D. H. Kim and R. A. Brown, Transient Simulation of Convection and Solute Segregation of GaAs Growth in Gradient Freeze Furnace, J. Cryst. Growth, vol. 109, pp. 66-74, 1991.
6. M. H. Hsieh and C. C. Chieng, Numerical Simulation of the Modified Two-Temperature Horizontal Bridgman Growth of Gallium Arsenide Crystal Inside a Quartz Boat, Mech, Eng. Sei., vol. 206, pp. 105-118, 1992.
7. A. H. Bellows and D. H. Matthiesen, A Comparative Study of the Influence of Convection on Gallium Arsenide Crystal Growth, Preliminary Flight Report, GAS Payload No. G-0052, 1991.
8. A. H. Bellows and D. H. Matthiesen, A Comparative Study of the Influence of Convection on Gallium Arsenide Crystal Growth, Second Preliminary Flight Report, GAS Payload No. G-0229, 1992.
9. P. M. Adornato and R. A. Brown, Convection and Segregation in Directional Solidification of Dilute and Non-Dilute Binary Alloys: Effects of Ampoule and Furnace Design, J. Cryst. Growth, vol. 80, pp. 155-190, 1987.
10. M. Yao, A. Chait, A. L. Fripp, and W. J. Debnam, Numerical Simulation of Bridgman Crystal Growth of PbSnTe in Microgravity, Microgravity Sei. Technol., vol. 8, pp. 214-225, 1996.
11. T. J. Jasinski, W. M. Rohsenow, and A. F. Witt, J. Cryst. Growth, vol. 61, p. 339, 1983.
12. C. J. Chang and R. A. Brown, Radial Segregation Induced by Natural Convection and Melt/Solid Interface Shape in Vertical Bridgman Growth, J. Cryst. Growth, vol. 63, pp. 343-364, 1983.
13. J. C. Han and S. Motakef, Double Diffusive Convection During Directional Solidification of Binary II-VI Semiconductors, J. Mater. Proc. Manuf. Sei., vol. 1, pp. 195-211, 1992.
14. S. Motakef, Interface of Buoyancy-Induced Convection with Segregation During Directional Solidification: Scaling Laws, J. Crystal Growth, vol. 102, pp, 197-213, 1994.
15. J. Crank, Free and Moving Boundary Problems, Clarendon Press, Oxford, 1984.
16. V. R. Voller and C. R. Swaminathan, Fixed Grid Techniques for Phase Change Problems: A Review, Int. J. Numer. Methods Eng., vol. 30, pp. 875-898, 1990.
17. C. Bonacina, G. Comini, A. Fasano, and M. Primicerio, Numerical Solution of PhaseChange Problems, Int. J. Heat Mass Transfer, vol. 16, pp. 1825-1832, 1973.
18. K. Mogan, R. W. Lewis, and O. Zienkiewicz, An Improved Algorithm for Heat Conduction Problem with Phase Change, Int. J. Numer. Methods Eng., vol. 12, pp. 1191-1195, 1978.
19. J. A. Dantzig, Modeling Liquid-Solid Phase Changes with Melt Convection, Int. J. Numer. Meth. Eng., vol. 28, pp. 1769-1785, 1989.
20. V. R. Voller, M. Cross, and N. C. Markatos, An Enthalpy Method for Convection/Dif-fusion Phase Change, Int. J. Numer. Methods Eng., vol. 24, pp. 271-284, 1987.
21. D. K. Gartling, Finite Element Analysis of Convective Heat Transfer Problems with Change of Phase, in K. Morgan et al. (eds.), Computer Methods in Fluids, pp. 257-284, Pentech, London, 1980.
22. N. Shamsundar, Comparison of Numerical Methods for Diffusion Problems with Moving Boundaries, in D. G. Wilson and P. T. Boggs (eds.), Moving Boundary Problems, pp. 165-185, Academic Press, New York, 1978.
23. M. Yao and A. Chait, Application of the Homographic Approximation in the Enthalpy Method for Phase Change Problems, Int. J. Numer. Methods Heat Fluid Flow, vol. 3, pp. 157-172, 1993.
24. M. Yao and A. Chait, An Alternative Formulation of the Apparent Heat Capacity Method for Phase Change Problems, J. Numer. Heat Transfer Part B Fundamentals, vol. 24, pp. 279-300, 1993.
25. M. Engleman, FIDAP Theoretical Manual, version 6, Fluid Dynamics International, Inc., Evanston, 111., 1993