Acknowledgment & references

ACKNOWLEDGMENT

This research was supported in part by the NASA Microgravity Science and Applications Division under Grant NAG8-1254. This work was carried out in part at the Ames Laboratory, which is operated for the U. S. Department of Energy by Iowa State University, under contract no. W-7405-Eng-82, supported by the director of Energy Research, Office of Basis Energy Sciences. Appreciation is expressed to Emrah Simsek for providing us with experimental results on nucleation ahead of the interface prior to their publication.

REFERENCES

1. H. W. Kerr and w. Kurz. Int. Mat. Rev., 41 (1996) 129.

2. W. J. Boettinger: Metall. Trans. vol. 5 (1974) 2023.

3. H. D. Brody and S. A. David: Int. Conf. Solidification and Casting, Sheffield, 1977, p. 144-151.

4. A. P. Titchener and J. A. Spittle: Acta Metall., 23 (1975) 497.

5. B.C. Fuh, Ph. D Thesis, Iowa State University, Ames, IA, (1984).

6. R. Trivedi, Metall. Mat. Trans. vol. 26A (1995) 1583.

7. K. Zeishler-Mashl and T. Lograsso, Metall. Mat. Trans. 28A (1997) 1543.

8. A. Karma, W. J. Rappel, B. C. Fuh, R. Trivedi, Metall. Mat. Trans.29A, (1998) 1457.

9. J. S. Park and R. Trivedi, J. Cryst. Growth 187 (1998) 511.

10. P. Mazumder, R. Trivedi and A. Karma, MRS Procedings, Ed. by E. Ma et al. (1998) 39.

11. H. P. Ha and J. D. Hunt, in: Solidification Processing 1997, Ed. by J. Beech and H. Jones, University of Sheffield, UK, (1997), p. 444.

12. J. H. Perepezko, Mat. Sci. Eng. A178 (1994) 105.

13. Y. Wu, T. J. Piccone, Y. Shiohara and M. C. Flemings, Metall Trans. 18A (1987) 915.

14. T. Koseki and M. C. Flemings, in: Solidification Processing for the 21st Century, ed. by M. C. Flemings, (1994) 235.

15. P. Mazumder, PhD Thesis, Iowa State University (1998).

16. G. B. McFadden, R. G. Rehm, S. R. Coriell, W. Chuck and K. A. Morrish, Metall. Trans. 15A (1984) 2125.

17. G. B. Mcfadden and S. R. Coriell, Phys. Fluids, 30 (1986) 659

18. C. J. Chang and R. A. Brown, J. Cryst. l Growth, 63 (1983) 343

19. P. M. Adornato and R. A. Brown, J. Cryst. Growth, 80 (1987) 155

20. D. H. Kim and R. A. Brown, J. Cryst. Growth, 58 (1989) 609.

21. G. K. Batchelor, Quart. Appl. Math. 12 (1954) 209

22. D. J. Tritton, Physical Fluid Dynamics, , Oxford Science Publications (1988) p. 35.

23. G. J. Veronis, J. Fluid Mech., 34 (1968) 315.

24. J. S. Turner, Buyoancy Effects in Fluids, Cambridge University Press, London, (1973) p. 251.

25. J. R. Carruthers, J. Cryst. Growth, 32 (1976) 13.

26. S. Ostrach, Phys. Chem. Hydrodynamics, 1 (1980) 233.

27. S. M. Pimputkar and S. Ostrach, J. Cryst. Growth, 55, (1981) 614.

28. N. O. Weiss, Proc. R. Soc. Lond. A, 413 (1987) 71.

29. R. A. Brown, AIChE Journal, 34 (1988) 881.

30. J. W. Lee and J. M. Hyun Int. J. Heat Mass Transfer, 34 (1990) 2409.

31. D. R. Moore and N. O. Weiss Phil. Trans. R. Soc. Lond. A , 332 (1990) 121.

32. E. J. Kranenborg and H. A. Dijkstra Phys Fluids, 7 (1995) 680.

33. N. Tsitverblit, Phys. Fluids, 7 (1995) 718.

34. T. L. Bergman and M. T. Hyun, Int. J. Heat Mass Transfer, 39 1996) 2883.

35. T. G. L. Shirtcliffe, Nature , 213 (1967) 489.

36. H. E. Huppert, Nature, 263 (1976) 20.

37. T. S. Lo, A. Karma and M. Plapp, Unmpublished work, Northeastern University, (1998).

38. P. Mazumder, R. Trivedi and A. Karma (1998) Unpublished Work, Iowa State University (1998).

39. G. K. Batchelor, Quart. Appl. Math. 12 (1954) 209

40. S. Chandrasekhar Hydrodynamic and Hydrmagnetic Stability, Oxford, Clarendon (1961)

41. D. W. Peaceman and H. H. Rachford, J. Soc. Indust. Appl. Math, 3 (1956) 28.

42. L. Lapidus L and G. F. Pinder, Numerical solution of partial differential equations in science and engineering, John Wiley & Sons, New York, (1982).

Back

Main

1.	H. W. Kerr and w. Kurz. Int. Mat. Rev., 41 (1996) 129.
2.	W. J. Boettinger: Metall. Trans. vol. 5 (1974) 2023.
3.	H. D. Brody and S. A. David: Int. Conf. Solidification and Casting, Sheffield, 1977, p. 144-151.
4.	A. P. Titchener and J. A. Spittle: Acta Metall., 23 (1975) 497.
5.	B.C. Fuh, Ph. D Thesis, Iowa State University, Ames, IA, (1984).
6.	R. Trivedi, Metall. Mat. Trans. vol. 26A (1995) 1583.
7.	K. Zeishler-Mashl and T. Lograsso, Metall. Mat. Trans. 28A (1997) 1543.
8.	A. Karma, W. J. Rappel, B. C. Fuh, R. Trivedi, Metall. Mat. Trans.29A, (1998) 1457.
9.	J. S. Park and R. Trivedi, J. Cryst. Growth 187 (1998) 511.
10.	P. Mazumder, R. Trivedi and A. Karma, MRS Procedings, Ed. by E. Ma et al. (1998) 39.
11.	H. P. Ha and J. D. Hunt, in: Solidification Processing 1997, Ed. by J. Beech and H. Jones, University of Sheffield, UK, (1997), p. 444.
12.	J. H. Perepezko, Mat. Sci. Eng. A178 (1994) 105.
13.	Y. Wu, T. J. Piccone, Y. Shiohara and M. C. Flemings, Metall Trans. 18A (1987) 915.
14.	T. Koseki and M. C. Flemings, in: Solidification Processing for the 21st Century, ed. by M. C. Flemings, (1994) 235.
15.	P. Mazumder, PhD Thesis, Iowa State University (1998).
16.	G. B. McFadden, R. G. Rehm, S. R. Coriell, W. Chuck and K. A. Morrish, Metall. Trans. 15A (1984) 2125.
17.	G. B. Mcfadden and S. R. Coriell, Phys. Fluids, 30 (1986) 659
18.	C. J. Chang and R. A. Brown, J. Cryst. l Growth, 63 (1983) 343
19.	P. M. Adornato and R. A. Brown, J. Cryst. Growth, 80 (1987) 155
20.	D. H. Kim and R. A. Brown, J. Cryst. Growth, 58 (1989) 609.
21.	G. K. Batchelor, Quart. Appl. Math. 12 (1954) 209
22.	D. J. Tritton, Physical Fluid Dynamics, , Oxford Science Publications (1988) p. 35.
23.	G. J. Veronis, J. Fluid Mech., 34 (1968) 315.
24.	J. S. Turner, Buyoancy Effects in Fluids, Cambridge University Press, London, (1973) p. 251.
25.	J. R. Carruthers, J. Cryst. Growth, 32 (1976) 13.
26.	S. Ostrach, Phys. Chem. Hydrodynamics, 1 (1980) 233.
27.	S. M. Pimputkar and S. Ostrach, J. Cryst. Growth, 55, (1981) 614.
28.	N. O. Weiss, Proc. R. Soc. Lond. A, 413 (1987) 71.
29.	R. A. Brown, AIChE Journal, 34 (1988) 881.
30.	J. W. Lee and J. M. Hyun Int. J. Heat Mass Transfer, 34 (1990) 2409.
31.	D. R. Moore and N. O. Weiss Phil. Trans. R. Soc. Lond. A , 332 (1990) 121.
32.	E. J. Kranenborg and H. A. Dijkstra Phys Fluids, 7 (1995) 680.
33.	N. Tsitverblit, Phys. Fluids, 7 (1995) 718.
34.	T. L. Bergman and M. T. Hyun, Int. J. Heat Mass Transfer, 39 1996) 2883.
35.	T. G. L. Shirtcliffe, Nature , 213 (1967) 489.
36.	H. E. Huppert, Nature, 263 (1976) 20.
37.	T. S. Lo, A. Karma and M. Plapp, Unmpublished work, Northeastern University, (1998).
38.	P. Mazumder, R. Trivedi and A. Karma (1998) Unpublished Work, Iowa State University (1998).
39.	G. K. Batchelor, Quart. Appl. Math. 12 (1954) 209
40.	S. Chandrasekhar Hydrodynamic and Hydrmagnetic Stability, Oxford, Clarendon (1961)
41.	D. W. Peaceman and H. H. Rachford, J. Soc. Indust. Appl. Math, 3 (1956) 28.
42.	L. Lapidus L and G. F. Pinder, Numerical solution of partial differential equations in science and engineering, John Wiley & Sons, New York, (1982).