Dendritic solidification under natural and forced convection in binary alloys: 2D versus 3D simulation

Modelling and Simulation in Materials Science and Engineering

Volumn 18, Issue 5, 2010, Pages

  Yuan, Lang ^a   Lee, Peter D ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

2D FLOW; 3D FLOW; 3D SIMULATIONS; COARSE MESHES; DENDRITIC GROWTH; DENDRITIC MICROSTRUCTURE; DENDRITIC SOLIDIFICATION; EQUIAXED GROWTH; FLUID FLOW EFFECT; MASS AND ENERGY TRANSPORT; MODIFIED PROJECTION; PHASE CHANGE; PRIMARY DENDRITE; SOLIDIFICATION MICROSTRUCTURES; SOLUTE DISTRIBUTION; THREE DIMENSIONS; TIP GROWTH;

BINARY ALLOYS; COMPUTATIONAL EFFICIENCY; CRYSTALLIZATION; DENDRIMERS; FLOW OF FLUIDS; FORCED CONVECTION; NAVIER STOKES EQUATIONS; SOLIDIFICATION; TEXTURES; THREE DIMENSIONAL COMPUTER GRAPHICS;

THREE DIMENSIONAL;

EID: 77954171074     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/18/5/055008     Document Type: Article

References (54)

1. Huppert H E 1990 J. Fluid Mech. 212 209
2. Lee P D, Quested P N and McLean M 1998 Phil. Trans. R. Soc. Lond. A 356 1027
3. Govindaraju N and Li B Q 2002 Energy Convers. Manag. 43 335
4. Glicksman M E, Coriell S R and McFadden G B 1986 Annu. Rev. Fluid Mech. 18 307
5. Murakami K, Aihara H and Okamuto T 1984 Acta Metall. 32 933
6. Worster M G 1997 Annu. Rev. Fluid Mech. 29 91
7. Schneider M C, Gu J P, Beckermann C, Boettinger W J and Kattner U R 1997 Metall. Mater. Trans. A 28 1517
8. Felicelli S D, Poirier D R and Heinrich J C 1997 J. Cryst. Growth 177 145
9. Beckermann C 2002 Int. Mater. Rev. 47 243
10. Kaempfer T U and Rappaz M 2003 Modelling Simul. Mater. Sci. Eng. 11 575
11. Ivantsov G P 1947 Dokl. Akad. Nauk SSSR 58 567
12. Bouissou P and Pelce P 1989 Phys. Rev. A 40 6673
13. Boettinger W J, Coriell S R, Greer A L, Karma A, Kurz W, Rappaz M and Trivedi R 2000 Acta Mater. 48 43
14. Boettinger W J, Warren J A, Beckermann C and Karma A 2002 Annu. Rev. Mater. Res. 32 163
15. Juric D and Tryggvason G 1996 J. Comput. Phys. 123 127
16. Gibou F, Fedkiw R, Caflisch R and Osher S 2003 J. Sci. Comput. 19 183
17. Braun R J, Murray B T and Soto J Jr 1997 Modelling Simul. Mater. Sci. Eng. 5 365
18. Yin H and Felicelli S D 2009 Modelling Simul. Mater. Sci. Eng. 17 075011
19. Beltran-Sanchez L and Stefanescu D M 2003 Metall. Mater. Trans. A 34 367
20. Zhu M F and Stefanescu D M 2007 Acta. Mater. 55 1741
21. Nastac L and Stefanescu D M 1997 Modelling Simul. Mater. Sci. Eng. 5 391
22. Jeong J H, Dantzig J A and Goldenfeld N 2003 Metall. Mater. Trans. A 34 459
23. Jeong J H, Goldenfeld N and Dantzig J A 2001 Phys. Rev. E 64 041602
24. Beckermann C, Diepers H-J, Steinbach I, Karma A and Tong X 1999 J. Comput. Phys. 154 468
25. Tan L and Zabaras N 2006 J. Comput. Phys. 211 36
26. Tan L and Zabaras N 2007 J. Comput. Phys. 221 9
27. Zhao P, Heinrich J C and Poirier D R 2005 Int. J. Numer. Methods Fluids 49 233
28. Lu Y, Beckermann C and Ramirez J C 2005 J. Cryst. Growth 280 320
29. Al-Rawahi N and Tryggvason G 2002 J. Comput. Phys. 180 471
30. Al-Rawahi N and Tryggvason G 2004 J. Comput. Phys. 194 677
31. Chen C C, Tsai Y L and Lan C W 2009 Int. J. Heat Mass Trans. 52 1158
32. Yuan L, Lee P D, Djambazov G and Pericleous K 2009 Int. J. Cast Met. Res. 22 204
33. Lan C W and Shih C J 2004 Phys. Rev. E 69 031601
34. Lan C W and Shih C J 2004 Cryst. Growth Des. 264 472
35. Steinbach I 2009 Acta. Mater. 57 2640
36. Rosam J, Jimack P K and Mullis A M 2009 Phys. Rev. E 79 030601
37. Shin Y H and Hong C P 2002 ISIJ Int. 42 359
38. Zhu M F, Dai T, Lee S Y and Hong C P 2008 Comput. Math. Appl. 55 1620
39. Sun D, Zhu M F, Pan S Y and Raabe D 2009 Acta. Mater. 57 1755
40. Lee P D, Atwood R C, Dashwood R J and Nagaumi H 2002 Mater. Sci. Eng. A 328 213
41. Lee P D, Chirazi A, Atwood R C and Wang W 2004 Mater. Sci. Eng. A 365 57
42. Wang W, Lee P D and McLean M 2003 Acta Mater. 51 2971
43. Dong H B and Lee P D 2005 Acta. Mater. 53 659
44. Patankar S V 1980 Numerical Heat Transfer and Fluid Flow (New York: Hemisphere)
45. Chorin A J 1968 Math. Comput. 22 745
46. Kim J and Moin P 1985 J. Comput. Phys. 59 308
47. Nastac L 1999 Acta Mater. 47 4253
48. Gandin C A, Desbiolles J L, Rappaz M and Thevoz P 1999 Metall. Mater. Trans. A 30 3153
49. Rappaz M and Gandin C A 1993 Acta Metall. Mater. 41 345
50. Wang W 2003 A Mathematical Model of Dendritic Microstrucutres in Nickel-Based Superalloys (London: Imperial College)
51. Yang X L, Dong H B, Wang W and Lee P D 2004 Mater. Sci. Eng. A 386 129
52. Zhu M F, Lee S Y and Hong C P 2004 Phys. Rev. E 69 061610
53. Yuan L, Djambazov G, Lee P D and Pericleous K A 2009 Int. J. Mod. Phys. B 23 1584
54. Xu X, Zhang W and Lee P D 2002 Metall. Mater. Trans. A 33 1805