Modeling of macrosegregation: Past, present and future

Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing

Volumn , Issue , 2000, Pages 297-310

  Beckermann, Christoph ^a  

^a University of Iowa   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

METAL CASTING; MICROSTRUCTURE; SEGREGATION (METALLOGRAPHY); THERMAL GRADIENTS;

MICROSEGREGATION;

SOLIDIFICATION;

EID: 0034590248     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (63)

1. C. Beckermann and C.Y. Wang, "Multi-Phase/-Scale Modeling of Transport Phenomena in Alloy Solidification," in Annual Review of Heat Transfer VI, vol. 6, ed. C.L. Tien (New York, NY: Begell House, 1995), 115-198.
2. P.J. Prescott and F.P. Incropera, "Convection Heat and Mass Transfer in Alloy Solidification," in Advances in Heat Transfer, ed. D. Poulikakos (San Diego, CA: Academic Press, 1996), 231-338.
3. H. Combeau, B. Appolaire and G. Lesoult, "Recent Progress in Understanding and Prediction of Macro and Mesosegregations," in Modeling of Casting, Welding and Advanced Solidification Processes - VIII, ed, B.G. Thomas and C. Beckermann (Warrendale, PA: TMS, 1998), 245-256.
4. M.C. Flemings, "Solidification Modeling, Past and Present," in Modeling of Casting, Welding and Advanced Solidification Processes - VIII, ed. B.G. Thomas and C. Beckermann (Warrendale, PA: TMS, 1998), 1-13.
5. M.C. Flemings and G.E. Nereo, "Macrosegregation: Part I," Trans. AIME, 239 (1967), 1449-1461.
6. M.C. Flemings, R. Mehrabian and G.E. Nereo, "Macrosegregation: Part II," Trans. AIME, 242 (1968), 41-49.
7. M.C. Flemings and G.E. Nereo, "Macrosegregation: Part III," Trans. AIME, 242 (1968), 50-55.
8. R. Mehrabian, M. Keane and M.C. Flemings, "Interdendritic Fluid Flow and Macrosegregation; Influence of Gravity," Metall. Trans., 1 (1970), 1209-1220.
9. T.S. Piwonka and M.C. Flemings, "Pore Formation in Solidification," Trans. AIME, 236 (1966), 1157-1165.
10. D. Apelian, M.C. Flemings and R. Mehrabian, "Specific Permeability of Partially Solidified Dendritic Networks of Al-Si Alloys," Metall. Trans., 5 (1974), 2533-2537.
11. R. Mehrabian, M.A. Keane and M.C. Flemings, "Experiments on Macrosegregation and Freckle Formation," Metall. Trans., 1 (1970), 3238-3241.
12. S. Kou, D.R. Poirier and M.C. Flemings, "Macrosegregation in Rotated Remelted Ingots," Metall. Trans. B, 9 (1978), 711-719.
13. R. Mehrabian and M.C. Flemings, "Macrosegregation in Ternary Alloys," Metall. Trans., 1 (1970), 455-464.
14. T. Fujii, D.R. Poirier and M.C. Flemings, "Macrosegregation in a Multicomponent Low Alloy Steel," Metall. Trans. B, 10 (1979), 331-339.
15. S.D. Ridder, S. Kou and R. Mehrabian, "Effect of Fluid Flow on Macrosegregation in Axi-Symmetric Ingots," Metall. Trans. B, 12 (1981), 435-447.
16. V.C. Prantil and P.R. Dawson, "Application of Mixture Theory to Continuous Casting," in HTD-Vol. 29 (New York, NY: ASME, 1983), 47-54.
17. R.N. Hills, D.E. Loper and P.H. Roberts, "A Thermodynamically Consistent Model of a Mushy Zone," Q. J. Mech. Appl. Math., 36 (1983), 505-539.
18. D.A. Drew, "Mathematical Modeling of Two-Phase Flow," Ann. Rev. Fluid Mech., 15 (1983), 261-291.
19. W.D. Bennon and F.P. Incropera, "A Continuum Model for Momentum, Heat and Species Transport in Binary Solid-Liquid Phase Change Systems. I. Model Formulation," Int. J. Heat Mass Transfer, 30 (1987), 2161-2170.
20. C. Beckermann and R. Viskanta, "Double-Diffusive Convection during Dendritic Solidification of a Binary Mixture," PhysicoChemical Hydrodynamics, 10 (1988), 195-213.
21. V.R. Voller, A.D. Brent and C. Prakash, "The Modelling of Heat, Mass and Solute Transport in Solidification Systems," Int. J. Heat Mass Transfer, 32 (1989), 1718-1731.
22. S. Ganesan and D.R. Poirier, "Conservation of Mass and Momentum for the Flow of Interdendritic Liquid during Solidification," Metall. Trans. B, 21 (1990), 173-181.
23. D.R. Poirier, P.J. Nandapurkar and S. Ganesan, "The Energy and Solute Conservation Equations for Dendritic Solidification," Metall. Trans. B, 22 (1991), 889-900.
24. W.D. Bennon and F.P. Incropera, "The Evolution of Macrosegregation in Statically Cast Binary Ingots," Metall. Trans. B, 18 (1987), 611-616.
25. M.G. Worster, "Convection in Mushy Layers," Ann. Rev. Fluid Mech., 29 (1997), 91-122.
26. M.C. Flemings, Solidification Processing, (New York, NY: McGraw Hill, 1974).
27. J.P. Gu and C. Beckermann, "Simulation of Convection and Macrosegregation in a Large Steel Ingot," Metall. Mater. Trans. A, 30 (1999), 1357-1366.
28. M.C. Schneider and C. Beckermann, "Formation of Macrosegregation by Multicomponent Thermosolutal Convection during Solidification of Steel," Metall. Mater. Trans. A, 26 (1995), 2373-2388.
29. T.L. Finn, M.G. Chu and W.D. Bennon, "The Influence of Mushy Region Microstructure on Macrosegregation in Direct Chill Cast Aluminum-Copper Round Ingots," in Micro/Macro Scale Phenomena in Solidification, ed. C. Beckermann et al. (New York, NY: ASME, 1992), 17-26.
30. A.V. Reddy and C. Beckermann, "Modeling of Macrosegregation due to Thermosolutal Convection and Contraction-Driven Flow in Direct Chill Continuous Casting of an Al-Cu Round Ingot," Metall. Mater. Trans. B, 28 (1997), 479-489.
31. A.V. Reddy and C. Beckermann, "Simulation of the Effects of Thermosolutal Convection, Shrinkage Induced Flow and Solid Transport on Macrosegregation and Equiaxed Grain Size Distribution in a DC Continuous Cast Al-Cu Round Ingot," in Materials Processing in the Computer Age - II, ed. V.R. Voller et al. (Warrendale, PA: TMS, 1995), 89-102.
32. M.C. Schneider et al., "Modeling of Micro- and Macrosegregation and Freckle Formation in Single-Crystal Nickel-Base Superalloy Directional Solidification," Metall. Mater. Trans. A, 28 (1997), 1517-1531.
33. S.D. Felicelli, D.R. Poirier and J.C. Heinrich, "Modeling of Freckle Formation in Three Dimensions during Solidification of Multicomponent Alloys," Metall. Mater. Trans. B, 29 (1998), 847-855.
34. C. Beckermann, J.P. Gu and W.J. Boettinger, "Development of a Freckle Predictor for Single-Crystal Nickel-Base Superalloy Castings," Metall. Mater. Trans. A, (2000), in press.
35. T.M. Pollock and W.H. Murphy, "The Breakdown of Single-Crystal Solidification in High Refractory Nickel-Base Alloys," Metall. Mater. Trans. A, 27 (1996) 1081-1094.
36. M.C. Schneider et al., "Macrosegregation Formation During Solidification of Complex Steel Castings: 3-D Numerical Simulation and Experimental Comparison," in Modeling of Casting, Welding and Advanced Solidification Processes - VIII, ed. B.G. Thomas and C. Beckermann (Warrendale, PA: TMS, 1998), 257-264.
37. D.R. Poirier, "Permeability for Flow of Interdendritic Liquid in Columnar-Dendritic Alloys," Metall. Trans. B, 18 (1987), 245-255.
38. C.Y. Wang et al., "Multiparticle Interfacial Drag in Equiaxed Solidification," Metall. Trans. B, 26 (1995), 111-119.
39. O. Nielsen et al., "Experimental Determination of Mushy Zone Permeability in Aluminum-Copper Alloys with Equiaxed Microstructures," Metall. Mater. Trans. A, 30 (1999), 2455-2462.
40. H.C. de Groh III et al., "Calculation of Dendrite Settling Velocities Using a Porous Envelope," Metall. Trans. B, 24 (1993), 749-753.
41. M. M'Hamdi et al., "Numerical Modeling of the Columnar to Equiaxed Transition in Continuous Casting of Steel," in Modeling of Casting, Welding and Advanced Solidification Processes VIII, ed. B.G. Thomas and C. Beckermann (Warrendale, PA: TMS, 1998), 375-382.
42. M. Rappaz, "Modeling of Microstructure Formation in Solidification Processes," Int. Mater. Rev., 34 (1989), 93-123.
43. Ch.-A. Gandin, T. Jalanti and M. Rappaz, "Modeling of Dendritic Grain Structures," in Modeling of Casting, Welding and Advanced Solidification Processes - VIII, ed. B.G. Thomas and C. Beckermann (Warrendale, PA: TMS, 1998), 363-374.
44. J. Ni and C. Beckermann, "A Volume-Averaged Two-Phase Model for Solidification Transport Phenomena," Metall. Trans. B, 22 (1991), 349-361.
45. C.Y. Wang and C. Beckermann, "Single- vs. Dual-Scale Volume Averaging for Heterogeneous Multiphase Systems," Int. J. Multiphase Flow, 19 (1993), 397-407.
46. C.Y. Wang and C. Beckermann, "A Multiphase Solute Diffusion Model for Dendritic Alloy Solidification," Metall. Trans. A, 24 (1993), 2787-2802.
47. C.Y. Wang and C. Beckermann, "A Unified Solute Diffusion Model for Columnar and Equiaxed Dendritic Alloy Solidification," Mater. Sci. Eng. A, 171 (1993), 199-211.
48. C.Y. Wang and C. Beckermann, "Prediction of Columnar to Equiaxed Transition During Diffusion-Controlled Dendritic Alloy Solidification," Metall. Trans. A, 25 (1994), 1081-1093.
49. C.Y. Wang and C. Beckermann, "Equiaxed Dendritic Solidification with Convection: Part 1. Multi-Scale /-Phase Modeling," Metall. Mater. Trans. A, 27 (1996), 2754-2764.
50. C.Y. Wang and C. Beckermann, "Equiaxed Dendritic Solidification with Convection: Part 2. Numerical Simulations for an Al-4 wt% Cu Alloy," Metall. Mater. Trans. A, 27 (1996), 2765-2783.
51. 2O Experiments," Metall. Mater. Trans. A, 27 (1996), 2784-2795.
52. P.J. Prescott, F.P. Incropera and W.D. Bennon, "Modeling of Dendritic Solidification Systems: Reassessment of the Continuum Momentum Equation," Int. J. Heat Mass Transfer, 34 (1991), 2351-2359.
53. I. Dustin and W. Kurz, "Modeling of Cooling Curves and Microstructures During Equiaxed Dendritic Solidification," Z. Metallkd., 77 (1986), 265-273.
54. S.C. Flood and J.D. Hunt, "A Model of a Casting," Appl. Sci. Res., 44 (1987), 2742.
55. C.J. Paradies et al., "The Effect of Flow Interactions with Dendritic Mushy Zones: A Model Experiment," in Modeling of Casting, Welding and Advanced Solidification Processes - VI, ed. T.S. Piwonka et al. (Warrendale, PA: TMS, 1993), 309-316.
56. 4Cl Equiaxed Crystals," Scripta Mater., 36 (1997), 633-638.
57. 2O Melts," Acta Mater., 46 (1998), 5851-5862.
58. A.A. Wheeler, W.J. Boettinger and G.B. McFadden, "Phase-Field Model for Isothermal Phase Transitions in Binary Alloys," Phys. Rev. A, 45 (1992), 7424.
59. R. Kobayashi, "Modeling and Numerical Simulations of Dendritic Crystal Growth," Physica D, 63 (1993), 410.
60. A. Karma and W.J. Rappel, "Quantitative Phase-Field Modeling of Dendritic Growth in Two and Three Dimensions," Phys. Rev. E, 57 (1998), 4323.
61. C. Beckermann et al., "Modeling of Melt Convection in Phase-Field Simulations of Solidification," J. Computational Physics, 154 (1999), 468-496.
62. X. Tong, C. Beckermann and A. Karma, "Velocity and Shape Selection of Dendritic Crystals in a Forced Flow," Phys. Rev. E, 61 (2000), R49-R52.
63. H.J. Diepers, C. Beckermann and I. Steinbach, "Simulation of Convection and Ripening in a Binary Alloy Mush Using the Phase-Field Method," Acta Mater., 47 (1999), 3663-3678.