Integrated simulation of thermo-solutal convection and pattern formation in directional solidification

Applied Mathematical Modelling

Volumn 28, Issue 1, 2004, Pages 109-125

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

^a U S DEPARTMENT OF ENERGY   (United States)

^b Corning Incorporated ^*  (United States)

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

Author keywords

[No Author keywords available]

Indexed keywords

BINARY ALLOYS; BOUNDARY CONDITIONS; COMPUTER SIMULATION; INTERFACES (MATERIALS);

THERMO-SOLUTAL CONVECTION;

SOLIDIFICATION;

ALLOY; CONVECTION; LIQUID METAL; MATHEMATICAL MODELING; MICROSTRUCTURE; OSCILLATING FLOW; SOLIDIFICATION;

EID: 0242666934     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0307-904X(03)00117-3     Document Type: Article

References (40)

1. Kurz W. Fisher D.J. Fundamentals of Solidification 1984 Trans Tech Publications Clausthal-Zellerfield
2. Brown R.A. AIChE J. 34 1988 881
3. Trivedi R. Trivedi R. Majumdar J. Sekhar J.A. Principles of Solidification and Materials Processing 1989 33 Trans Tech Zurich
4. Flemings M.C. Solidification Processing 1974 McGraw-Hill New York
5. Mullins W.W. Sekerka R.F. J. Appl. Phys. 34 1963 323
6. Tiller W.A. Jackson K.A. Tiller J.W. Chalmers B. Acta Metall. 1 1953 428
7. Verhoeven J.D. Fundamentals of Physical Metallurgy 1975 John Wiley New York
8. Chalmers B. Principles of Solidification 1964 John Wiley New York
9. Smith V.G. Tiller W.A. Chalmers B. Can. J. Phys. 33 1955 723
10. Trivedi R. Miyahara H. Mazumder P. Tewari S.N. J. Cryst. Growth 222 2001 365
11. Trivedi R. Liu S. Mazumder P. Simsek E. Sci. Technol. Adv. Mater. 2 2001 309-320
12. Adornato P.M. Brown R.A. J. Cryst. Growth 80 1987 155
13. Kim D.H. Brown R.A. J. Cryst. Growth 96 1989 609
14. Brown R.A. Kim D.H. J. Cryst. Growth 109 1991 50
15. Ouyang H. Shyy W. Levit V.I. Kaufman M.J. Int. J. Heat Mass Trans. 40 1997 293
16. Kappurao S. Brandon S. Derby J. J. Cryst. Growth 155 1995 93
17. Kappurao S. Brandon S. Derby J. J. Cryst. Growth 155 1995 103
18. P. Mazumder, Ph.D. Thesis, Iowa State University, Ames, IA, 1999
19. P. Mazumder, R.Trivedi, A. Karma, in: E. Ma, M. Atzmon Bellon, R. Trivedi (Eds.), MRS Proc., vol. 481, Materials Research Society, Warrendale, PA, 1998, p. 39
20. P. Mazumder, R. Trivedi, J. Fluid Mech., submitted for publication
21. Mazumder P. Trivedi R. Phys. Rev. Lett. 88 23 2002 235507
22. Trivedi R. Mazumder P. Tewari S. Metal. Mater. Trans. A 33 2002 3763
23. McFadden G.B. Rehm R.G. Coriell S.R. Chuck W. Morrish K.A. Met. Trans. A 15 1984 2125
24. McFadden G.B. Coriell S.R. Boisvert R.F. Phys. Fluids 28 1985 2716
25. McFadden G.B. Coriell S.R. Phys. Fluids 30 1987 659
26. Coriell S.R. Cordes M.R. Boettinger W.J. Sekerka R.F. J. Cryst. Growth 49 1980 13
27. Mazumder P. Trivedi R. Karma A. Metal. Mater. Trans. A 31 2000 1233
28. Park J.S. Trivedi R. J. Cryst. Growth 187 1998 511
29. Karma A. Rappel W.J. Fuh B.C. Trivedi R. Mat. Trans. A 29 1998 1457
30. Tritton D.J. Physical Fluid Dynamics 1988 Oxford Science Publications Oxford
31. E. Simsek, P. Mazumder, Unpublished Work, US-DOE Ames Laboratory, 1998
32. Fletcher C.A.J. Computational Techniques for Fluid Dynamics vol. 1 1991 Springer Berlin
33. Lapidus L. Pinder G.F. Numerical Solution of Partial Differential Equations in Science and Engineering 1982 John Wiley New York
34. de Vahl Davis G. Jones I.P. Int. J. Numer. Meth. Fluids 3 1983 227
35. Roux B. Numerical Simulation of Oscillatory Convection in Low Pr Fluids 1989 Vieweg Braunschweig
36. Bergman T.L. Hyun M.T. Int. J. Heat Mass Trans. 39 1996 2883
37. Alexander J.I.D. Ouazzani J. Rosenberger F.J. J. Cryst. Growth 97 1989 285
38. Brown R.A. Tanasawa I. Lior N. Heat and Mass Transfer in Materials Processing 1992 137 Hemisphere Dublin
39. Trivedi R. Metall. Mat. Trans. A 26 1995 1583
40. Burton J.A. Prim R.C. Slichter W.P. J. Chem. Phys. 21 1953 1987