The effect of convection on disorder in primary cellular and dendritic arrays

Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science

Volumn 33, Issue 12, 2002, Pages 3763-3775

  Trivedi, R ^a   Mazumder, P ^a,b   Tewari, S N ^c  

^a Iowa State University of Science and Technology   (United States)

^b Corning Inc ^*  (United States)

^c Cleveland State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALUMINUM COPPER ALLOYS; HEAT CONVECTION; SOLIDIFICATION; SOLVENTS;

SOLUTES;

LEAD ALLOYS;

EID: 0036989197     PISSN: 10735623     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11661-002-0249-4     Document Type: Article

References (48)

1. M.C. Flemings: Solidification Processing, McGraw-Hill, New York, NY, 1975.
2. J.A. Warren and J.S. Langer: Phys. Rev., 1990, vol. 42A, pp. 3518-25.
3. J.D. Hunt: Solidification and Casting of Metals, The Metals Society, London, 1979, Book 192, pp. 3-11.
4. J.D. Hunt and S. Lu: Metall. Mater. Trans., 1996, vol. 27A, pp. 611-23.
5. S.N. Tewari and R. Shah: Metall. Mater Trans. A, 1996, vol. 27A, pp. 1353-62.
6. S.H. Han and R. Trivedi: Acta Metall. Mater A, 1994, vol. 42, pp. 25-41.
7. W. Kurz and D.J. Fisher: Acta Metall., 1981, vol. 29, pp. 11-20.
8. M.A. Eshelman, V. Seetharaman, and R. Trivedi: Acta Metall., 1988, vol. 36, pp. 1165-74.
9. K. Somboonsuk, J.T. Mason, and R. Trivedi: Metall. Trans. A, 1984, vol. 15A, pp. 967-75.
10. C.M. Klaren, J.D. Verhoeven, and R. Trivedi: Metall. Trans. A, 1980, vol. 11A, pp. 1853-61.
11. J.D. Verhoeven, J.T Mason, and R. Trivedi: Metal Trans. A, 1986, vol. 17A, pp. 991-1000.
12. H. Esaka and W. Kurz: J. Cryst. Growth, 1985, vol. 72, pp. 578-84.
13. R. Trivedi and K. Somboonsuk: J. Mater Sci. Eng., 1984, vol. 65, pp. 65-74.
14. H. Jamgotchian, B. Billia, and L. Capella: J. Cryst. Growth, 1983, vol. 64, pp. 338-44.
15. G. Grange, J. Gastaldi, C. Jourdan, and B. Billia: J. Cryst. Growth, 1995, vol. 151, pp. 192-99.
16. K. Miyata, T. Suzuki, and J.I. Uno: Metall. Trans. A, 1985, vol. 16A, pp. 1799-1805.
17. P. Mazumder: Ph.D. Thesis, Iowa State University, Ames, IA, 1999.
18. R. Trivedi, H. Miyahara, P. Mazumder, E. Simsek, and S.N. Tewari: J. Cryst. Growth, 2001, vol. 222, pp. 365-79.
19. M.D. Dupouy, D. Camel, and J.J. Favier: Acta Metall., 1989, vol. 37, pp. 1143-57.
20. M.H. Burden, D.J. Hebditch, and J.D. Hunt: J. Cryst. Growth, 1973, vol. 20, pp. 121-24.
21. R. Trivedi, S. Liu, P. Mazumder, and E. Simsek: Sci. Technol. Adv. Mater, 2001, vol. 2, pp. 309-16.
22. S.R. Coriell, M.R. Cordes, W.J. Boettinger, and R.F. Sekerka: J. Cryst. Growth, 1980, vol. 49, pp. 13-28.
23. C. Le Marek, R. Guerin, and P. Haldewnwag: J. Cryst. Growth, 1996, vol. 169, pp. 147-56.
24. T.H. Solomon, R.R. Hartley, and A.T. Lee: Phys. Rev. E, 1999, vol. 60, p. 3O63.
25. G.K. Batchelor: Q. Appl. Math., 1954, vol. 12 (3), p. 209.
26. D.J. Tritton: Physical Fluid Dynamics, Oxford Science Publications, 1988.
27. P.M. Adornato and R.A. Brown: J. Cryst. Growth, 1987, vol. 80, pp. 155-90.
28. D.H. Kim and R.A. Brown: J. Cryst. Growth, 1989, vol. 96, pp. 609-27.
29. D.H. Kim and R.A. Brown: J. Cryst. Growth, 1991, vol. 114, pp. 411-34.
30. C.J. Chang and R.A. Brown: J. Cryst. Growth, 1983, vol. 63, pp. 343-65.
31. P. Mazumder and R. Trivedi: in Fluid Flow Phenomenon in Metal Processing, N. El-Kaddah, D.G.C. Robertson, S.T. Johansen, and V.P. Voller, eds., TMS, Warrendale, PA, 1999, pp. 459-56.
32. P. Mazumder and R. Trivedi: J. Fluid Mech., submitted for publication.
33. S.N, Tewari and R. Trivedi: Microgravity Sci. Technol., 1991, vol. 4, pp. 240-44.
34. D.G. McCartney and J.D. Hunt: Acta Metall., 1981, vol. 29, pp. 1851-63.
35. H. Jacohi and K. Schwerdtfeger: Metall. Trans. A, 1976, vol. 7A, pp. 811-20.
36. B. Billia, H. Jamgotchian, and H. Nguyen Thi: Metall. Trans. A, 1991, vol. 22A, pp. 3041-50.
37. D. Weaire and N. Rivier: Contemp. Phys., 1984, vol. 25, p. 59.
38. C. Dussert, G. Rasigny, M. Rasigni, J. Palmari, and A. Llebaria: Phys. Rev., 1986, vol. 34B, p. 3528.
39. S.N. Tewari, Y.-H. Weng, G.L. Ding, and R. Trivedi: Metall. Mater Trans. A, 2002, vol. 33A, pp. 1229-43.
40. C.S. Smith: Metal Interfaces, ASM, Metals Park, OH, 1952, pp. 65-113.
41. W. Peaceman and H.H. Rachford: J. Soc. Indust. Appl. Math., 1956, vol. 3, p. 28.
42. L. Lapidus and G.F. Pinder: Numerical Solution of Partial Differential Equations in Science and Engineering, John Wiley & Sons, New York, NY, 1982.
43. R.A. Brown: AIChE J., 1988, vol. 34, pp. 881-911.
44. W.A. Tiller, K.A. Jackson, J.W. Rutter, and B. Chalmers: Acta Metall., 1953, vol. 1, pp. 428-37.
45. P. Capper, C.L. Jones, E.J. Pearce, and M.J.T. Quelch: J Cryst. Growth, 1983, vol. 62, pp. 487-97.
46. J.A. Burton, R.C. Prim, and W.P. Slichter: J. Chem. Phys., 1953, vol. 21, pp. 1987-91.
47. X. Tong, C. Beckermann, and A. Karma: Phys. Rev. E, 2000, vol. 61, pp. R49-R52.
48. Reviewer of the paper.