Interface shapes and thermal fields during the gradient solidification method growth of sapphire single crystals

Journal of Crystal Growth

Volumn 167, Issue 1-2, 1996, Pages 190-207

  Brandon, S ^a   Gazit, D ^b   Horowitz, A ^b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b NUCLEAR RESEARCH CENTER NEGEV   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CRYSTALLIZATION; FINITE ELEMENT METHOD; HEAT CONVECTION; HEAT RADIATION; PHASE INTERFACES; SAPPHIRE; SINGLE CRYSTALS; SURFACE TENSION; THERMAL EFFECTS; THERMAL GRADIENTS;

BUOYANCY DRIVEN CONVECTION; FLUID FLOW EFFECTS; GRADIENT SOLIDIFICATION METHOD; INTERNAL RADIATIVE HEAT TRANSPORT; SURFACE TENSION GRADIENT DRIVEN CONVECTION;

CRYSTAL GROWTH FROM MELT;

EID: 0030565273     PISSN: 00220248     EISSN: None     Source Type: Journal    
DOI: 10.1016/0022-0248(96)00207-2     Document Type: Article

References (39)

1. A. Horowitz, S. Biderman, G. Ben-Amar, U. Laor, M. Weiss and A. Stern, J. Crystal Growth 85 (1987) 215.
2. S. Biderman, G. Ben-Amar, Y. Einav, A. Horowitz, U. Laor, M. Weiss and A. Stern, SPIE Vol. 819, Infrared Technology XIII (1987) 157.
3. A. Horowitz, S. Biderman, D. Gazit, G. Ben-Amar and M. Weiss, J. Crystal Growth 128 (1993) 824.
4. Ji. Kvapil, Jo. Kvapil, B. Manek, B. Perner, R. Autrata and P. Schauer, J. Crystal Growth 52 (1981) 542.
5. V.S. Yuferev and M.G. Vasil'ev, J. Crystal Growth 82 (1987) 31.
6. S. Brandon and J.J. Derby, J. Crystal Growth 121 (1992) 473.
7. S. Kuppurao, Effects of Internal Radiation on the Melt Growth of Semi-transparent Oxide Single Crystals, PhD Thesis, University of Minnesota, 1995.
8. P.D. Thomas, J.J. Derby, L.J. Atherton and R.A. Brown, J. Crystal Growth 96 (1989) 135.
9. S. Brandon, J.J. Derby, L.J. Atherton, D.H. Roberts and R.L. Vital, J. Crystal Growth 132 (1993) 261.
10. Q. Xiao and J.J. Derby, J. Crystal Growth 128 (1993) 188.
11. S. Brandon, Heat Transfer by Combined Conduction, Convection and Radiation in Axisymmetric Enclosures: Applications to Crystal Growth from the Melt, PhD Thesis, University of Minnesota, 1992.
12. C. Lin and S. Motakef, J. Crystal Growth 128 (1993) 834.
13. S. Levi, Heat Transfer during the Growth of Sapphire Single Crystal Domes, MSc Thesis, Technion-Israel Institute of Technology, in preparation.
14. D.A. Gryvnak and D.E. Burch, J. Opt. Soc. Am. 55 (1965) 625.
15. R. Siegel and J.R. Howell, Thermal Radiation Heat Transfer, 2nd ed. (McGraw-Hill, New York, 1981).
16. F. Dupret, P. Nicodème, Y. Ryckmans, P. Wouters and M.J. Crochet, Int. J. Heat Mass Transfer 33 (1990) 1849.
17. S. Kuppurao and J.J. Derby, Num. Heat Transfer B 24 (1993) 431.
18. G. Dhatt and G. Touzot, The Finite Element Method Displayed (Wiley, New York, 1984).
19. G. Dahlquist and Å Björck, Numerical Methods (Prentice-Hall, NJ, 1974).
20. D.E. Bornside, T.A. Kinney and R.A. Brown, Int. J. Numer. Methods Eng. 30 (1990) 133.
21. P.D. Thomas and R.A. Brown, Int. J. Numer. Methods Eng. 24 (1987) 1451.
22. R.C. Weast and M.J. Astle, Eds., CRC Handbook of Chemistry and Physics, 59th ed. (CRC Press, Boca Raton, FL, 1978-1979).
23. D.O. Nason, C.T. Yen and W.A. Tiller, J. Crystal Growth 106 (1990) 221.
24. Yu.K. Lingart, Radiation-Conductive Heat Transfer in Optical Crystals, Crystal Growth Equipment: Internal Report, 1992.
25. N.N. Belov, Sov. Phys. Cryst. 34 (1989) 715.
26. J.J. Rasmussen and R.P. Nelson, J. Am. Ceram. Soc. 54 (1971) 398.
27. F. Schmid, C.P. Khattak and D.M. Felt, Am. Ceram. Soc. Bull. 73 (1994) 39.
28. G. Urbain, Rev. Int. Temper. Refract. Fr. 19 (1982) 55.
29. V.J. Fratello and C.D. Brandle, J. Crystal Growth 128 (1993) 1006.
30. V.E. Peletskii, E.S. Amasovich, E.B. Zaretskii, J. Lierman and P. Degas, Teplofiz. Vysokikh Temperatur 17 (1979) 1224.
31. D.G. Archer, J. Phys. Chem. Ref. Data 22 (1993) 1441.
32. J.R. Welty, C.E. Wicks and R.E. Wilson, Fundamentals of Momentum, Heat and Mass Transfer, 3rd ed. (Wiley, New York, 1984).
33. S. Brandon and J.J. Derby, J. Crystal Growth 110 (1991) 481.
34. T. Jasinski and A.F. Witt, J. Crystal Growth 71 (1985) 295.
35. S. Kuppurao, S. Brandon and J.J. Derby, J. Crystal Growth 155 (1995) 93.
36. D.H. Kim and R.A. Brown, J. Crystal Growth 109 (1991) 66.
37. J.J. Derby, S. Brandon, A.G. Salinger and Q. Xiao, Comp. Methods Appl. Mech. Eng. 112 (1994) 69.
38. N. Ikemiya, J. Umemoto, S. Hara and K. Ogino, ISIJ Int. 33 (1993) 156.
39. W. Shyy and M.H. Chen, J. Crystal Growth 108 (1991) 247.