A model of convection-induced oscillatory structure formation in peritectic alloys

Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science

Volumn 31, Issue 4, 2000, Pages 1233-1246

  Mazumder, P ^a   Trivedi, R ^b   Karma, A ^c  

^a Corning Inc ^*  (United States)

^b IOWA STATE UNIVERSITY   (United States)

^c NORTHEASTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BAND STRUCTURE; MATHEMATICAL MODELS; NUCLEATION; PHASE INTERFACES; PROBLEM SOLVING; UNSTEADY FLOW;

PERITECTIC ALLOYS;

LIQUID METALS;

EID: 0033741009     PISSN: 10735623     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11661-000-0119-x     Document Type: Article

References (53)

1. W.J. Boettinger: Metall. Trans., 1974, vol. 5, pp. 2023-31.
2. H.D. Brody and S.A. David: Int. Conf. Solidification and Casting, Institute of Metals, London, 1977, vol. 1, pp. 144-51.
3. A.P.Titchener and J.A. Spittle: Acta Metall., 1957, vol.23, pp.497-502.
4. B.C. Fuh: Ph.D. Thesis, Iowa State University, Ames, IA, 1984.
5. A. Karma, W.J. Rappel, B.C. Fuh, and R. Trivedi: Metall. Mater. Trans. A, 1998, vol. 29A, pp. 1457-70.
6. R. Trivedi: Metall. Mater.Trans. A, 1995, vol. 26A, pp. 1583-90.
7. K. Zeishler-Mashl and T. Lograsso: Metall. Mater. Trans. A, 1997, vol. 28A, pp. 1543-52.
8. J.S. Park and R. Trivedi: J. Cryst. Growth, 1998, vol. 187, pp. 511-15.
9. P. Mazumder: Ph.D Thesis, Iowa State University, Ames, IA, 1999.
10. P. Mazumder, R. Trivedi, and A. Karma: Proc. MRS, E. Ma, M. Atzmon, P. Bellon, and R. Trivedi, eds. Materials Research Society, Pittsburgh, PA, 1998, vol. 481, pp. 39-44.
11. P. Mazumder and R. Trivedi: in Fluid Flow Phenomena in Metals Processing. N. El-Kaddah, D.G.C. Robertson, S.T. Johansen, and V.R. Voller, eds. TMS, Warrendale, PA, 1999.
12. P. Mazumder and R. Trivedi: unpublished research.
13. S.H. Davis: and in Handbook of Crystal Growth, D.T.J. Hurle, ed., North-Holland, Amsterdam, 1994, pp. 861-97.
14. H.W. Kerr and W. Kurz: Int. Mater. Rev., 1996, vol. 41, pp. 129-65.
15. R. Trivedi, H. Miyahara, P. Mazumder, and S. Tiwari: unpublished research, 1999.
16. G.B. McFadden, R.G. Rehm, S.R. Coriell, W. Chuck, and K.A. Morrish: Metall. Trans. A, 1984, vol. 15A, pp. 2125-37.
17. G.B. Mcfadden and S.R. Coriell: Phys. Fluids, 1986, vol. 30, pp. 659-71.
18. R.J. Naumann: J. Cryst. Growth, 1982, vol. 58, p. 589.
19. C.J. Chang and R.A. Brown: J. Cryst. Growth, 1983, vol. 63, pp. 343-65.
20. P.M. Adornato and R.A. Brown: J. Cryst. Growth, 1987, vol. 80, pp. 155-90.
21. D.H. Kim and R. A. Brown: J. Cryst. Growth, 1989, vol. 58, pp. 609-27.
22. R.A. Brown: AIChE J., 1988, vol. 34, pp. 881-911.
23. J.I.D. Alexander, J. Ouazzani, and F. Rosenberger: J. Cryst. Growth, 1989, vol. 97, pp. 285-302.
24. S. Kappurao, S. Brandon, and J. Derby: J. Cryst. Growth, 1995, vol. 155, pp. 93-102.
25. S. Kaddeche, J.P. Garandet, C. Barat, H. Ben Hadid, and D. Henry: J. Cryst. Growth, 1996, vol. 158, pp. 144-52.
26. H. Ouyang and W Shyy: J. Cryst. Growth, 1997, vol. 173, pp. 352-66.
27. H. Zhang, L.L. Zhana, V. Prasad, and D.J. Larson, Jr.: J. Heat Transfer, 1998, vol. 120, pp. 865-73.
28. G.K. Batchelor: Q. Appl. Math., 1954, vol. 12, pp. 209-33.
29. D.J. Tritton: Physical Fluid Dynamics, Oxford Science Publications, Oxford, United Kingdom, 1988, p. 35.
30. D.T.J. Hurle, E. Jakeman, and C.P. Johnson: J. Fluid Mech., 1974, vol. 64, pp. 565-76.
31. M.G. Braunsfurth and T Mullin: J. Fluid Mech., 1996, vol. 327, pp. 199-219.
32. M.A. Azouni: Physicochem. Hydrodyn., 1981, vol. 2, pp. 295-309.
33. B. Roux: Numerical Simulation of Oscillatory Convection in Low Pr Fluids, Vieweg, Braunschweig, 1990.
34. A.C. Skeldon, D.S. Riley, and K.A. Cliffe: J. Cryst. Growth, 1996, vol. 162, pp. 95-106.
35. K.H. Winters: Int. J. Num. Methods Fluids, 1988, vol. 25, pp. 401-14.
36. J.P. Pulicani, E.C. Del Arco, A. Randriamampianina, P. Bontoux, and R. Peyret: Int. J. Num. Methods Fluids, 1989, vol. 10, pp. 481-517.
37. E.C. Del Arco, J.P. Pulicani, and P. Bontoux: Physicochem. Hydrodyn., 1989, vol. 11, pp. 681-92.
38. R. Selver, Y. Kamotani, and S. Ostrach: J. Heat Transfer, 1998, vol. 120, pp. 108-14.
39. C.W. Lan, M.K. Chen, and M.C. Liang: J. Cryst. Growth, 1998, vol. 187, pp. 303-13.
40. M.J. Crochet, F.T. Geyling, and J.J.V. Schaftingen: J. Cryst. Growth, 1983, vol. 65, pp. 166-72.
41. M.T. Hyun, D.C. Kuo, T.L. Bergman, and K. S. Ball: Num. Heat Transfer, 1995, vol. 27, pp. 639-50.
42. T.L. Bergman and M.T. Hyun: Int. J. Heat Mass Transfer, 1996, vol. 39, pp. 2883-93.
43. T. Nishimura, M. Wakamatsu, and A. Morega: Int. J. Heat Mass Transfer, 1998, vol. 41, pp. 1601-11.
44. K. Ghorayeb, H. Khallouf, and A. Mojtabi: Int. J. Heat Mass Transfer, 1999, vol. 42, pp. 629-43.
45. R. Trivedi, P. Mazumder, and S. Tiwari: unpublished research, 1999.
46. J.S. Park and R. Trivedi: Iowa State University, Ames, IA, unpublished work, 1997.
47. J.C. Heinrich: Comp. Methods Appl. Mech. Eng., 1988, vol. 65, pp. 65-88.
48. W.A. Tiller, K.A. Jackson, J.W. Rutter, and B. Chalmers: Acta Metall., 1953, vol. 1, pp. 428-37.
49. H. Schlichting: Boundary Layer Theory, McGraw-Hill, Toronto, 1979.
50. D.W. Peaceman and H.H. Rachford: J. Soc. Indust. Appl. Math, 1956, vol. 3, p. 28.
51. L. Lapidus and G.F. Pinder: Numerical Solution of Partial Differential Equations in Science and Engineering, John Wiley & Sons, New York, NY, 1982.
52. C.A.J. Fletcher: Comp. Techn. Fluid Dyn., 1988, vol. 1, p. 293.
53. J.D. Verhoeven, J.T. Mason, and R. Trivedi: Metall. Trans. A, 1986, vol. 17A, pp. 991-1000.