Dynamic simulation of the vertical zone-melting crystal growth

International Journal of Heat and Mass Transfer

Volumn 41, Issue 24, 1998, Pages 4351-4373

  Lan, C W ^a,b   Yang, D T ^a,b  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FLOW OF FLUIDS; GRAVITATIONAL EFFECTS; HEAT TRANSFER; INTERFACES (MATERIALS); MATHEMATICAL MODELS; PRANDTL NUMBER; SPECIFIC HEAT; THERMAL CONDUCTIVITY; THERMAL EFFECTS; VELOCITY; ZONE MELTING;

UNSTEADY STATE MOMENTUM; VERTICAL ZONE MELTING CRYSTAL GROWTH;

CRYSTAL GROWTH;

CRYSTALLIZATION; FLUID FLOW; HEAT TRANSFER; INTERFACE; MELTING;

EID: 0344889231     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(98)00119-7     Document Type: Article

References (26)

1. Pfann WG. Zone Melting. 2nd ed. New York: John Wiley and Sons, 1966. p. 50.
2. Johnson ES. Liquid encapsulated floating zone melting of GaAs. J Crystal Growth 1975;30:249-56.
3. Henry RL, Nordquist PER, Gorman RJ, Qadri SB. Growth of (100) GaAs by vertical zone melting. J Crystal Growth 1995;109:228-33.
4. Colombo L, Chang RR, Chang CJ, Baird BA. Growth of Hg-based alloys by the traveling heater method. Vacuum Sei Technol 1988;A6:2795-9.
5. Yip, VFS, Chang CE, Wilcox WR. Heat and mass transfer in the traveling heater method of crystal growth. J Crystal Growth 1975;29:69-74.
6. Boeck T, Rudolph P. The influence of thermal diffusion on the traveling heater method in a diffusion controlled growth system. J Crystal Growth 1986;79:105-9.
7. Bell RO. An analysis of the temperature distribution during crystal growth by THM. J Electrochem Soc 1974; 121:1366-71.
8. Wald FV, Bell RO. Natural and forced convection during solution growth of CdTe by the traveling heater method (THM). J Crystal Growth 1975;30:29-36.
9. Chang CJ, Baird B, Liao PK, Chang R, Colombo L. Finite element thermal analysis on the crystal growth of HgCdTe by the traveling heater method. J Crystal Growth 1989;98:595-609.
10. Apanovich YV, Ljumkis ED. The numerical simulation of heat and mass transfer during growth of a binary system by the traveling heater method. J Crystal Growth 1991;! 10:839-54.
11. Lan CW, Yang DT. Numerical Investigation on heat transfer, fluid flow, and interfaces in vertical zone melting crystal growth. Numerical Heat Transfer Part A 1996;29:131-146.
12. [ 12] Lan CW, Yang DT. Computer simulation of crystal growth by traveling solvent method (TSM): pseudo steady-state calculations. Modeling and Simulation in Materials Sei and Eng 1995;3:71-92.
13. Lan CW, Yang DT, Ting CC, Chen FC. A transparent multizone furnace for crystal growth and flow visualization. J Crystal Growth 1994;142:373-8.
14. Gosman AD, Pan WM, Runchall AK, Spalding DB, Wolfshtein M. Heat and mass transfer in recirculating flows. London: Academic Press, 1969. p. 18.
15. Lan CW. Newton's method for solving heat transfer, fluid flow and interface shapes in a floating molten zone. Intern J Numer Methods Fluids 1994;19:41-65.
16. Petzold LR. An adaptive moving grid method for onedimensional systems of partial differential equations and its numerical solution. Proceedings of the Workshop on Adaptive Methods for Partial Differential Equations, Rensselaer Polytechnic Institute, October, 1988.
17. Petzold LR. A description of DASSL: a differential/ algebraic system solver. In: Stepleman RS et al, editors. Scientific computing. Amsterdam: North-Holland, 1983. pp. 65-8.
18. Brown PN, Saad Y. Hybrid Krylov methods for nonlinear systems of equations. SIAM J Sei Stat Comput 1990; 11:450-81.
19. Meijerink JA, van der Vorst HA. An iterative solution method for linear equations systems of which the coefficient matrix is a symmetric M-Matrix. MathComp 1977;31:148-62.
20. Coleman TF, Garbow BS, More JJ. Software for estimating sparse Jacobian matrices. ACM Trans Math Soft 1984;10:329-47.
21. Derby JJ, Brandon S, Salinger AG, Xiao Q. Large-scale numerical analysis of materials processing systems : high-temperature crystal growth and molten glass flows. Comp Methods Appl Mech 1991;! 12:69-89.
22. Muller G, Neumann G, Matz H. A two-Rayleigh-number model of buoyancy-driven convection in vertical melt growth configurations. J Crystal Growth 1987;84:36-49.
23. Keller HB. Numerical solution of bifurcation and nonlinear eigenvalue problems. In: Rabinowitz PH, editor. Applications of bifurcation theory. New York: Academic Press, 1977.
24. Yamaguchi Y, Chang CJ, Brown RA. Multiple buoyancydriven flows in a vertical cylinder heated from below. Philos Trans Roy Soc London Ser A 1984;312:519-52.
25. Muller G, Neumann G. Suppression of doping striations in zone melting of InSb crystals by enhanced convection on a centrifuge. J Crystal Growth 1982;59:548-56.
26. Muller G, Neumann G. Tenfold growth rates in the traveling heater method of GaSb crystal growth by forced convection on a centrifuge. J Crystal Growth 1983;63:58-66.