A review of the modeling of multi-phase phenomena in materials processing - I. Solid-liquid systems

Journal of Materials Processing and Manufacturing Science

Volumn 8, Issue 3, 2001, Pages 188-217

  Ilegbusi, O J ^a   Mat, M D ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALLOYING; CONTINUUM MECHANICS; LIQUID METALS; MATERIALS HANDLING; MATHEMATICAL MODELS; MIXTURES; SOLID SOLUTIONS; SOLIDIFICATION; TWO PHASE FLOW;

MATERIALS PROCESSING; SOLID LIQUID SYSTEMS;

PHASE TRANSITIONS;

EID: 0033639345     PISSN: 10620656     EISSN: None     Source Type: Journal    
DOI: 10.1106/P9RJ-UHH0-DM5N-HF3R     Document Type: Review

References (107)

1. Computation of macrosegregation in an iron-carbon cast
2. Nonlinear analysis of buoyant convection in binary solidification with application to channel formation
3. Determination of dendritic coherency in solidifying melts by rheology measurements
4. Modeling of multidimensional solidification of an alloy
5. Non-darcy flow through fibrous porous media
6. Double-diffusive convection during dendritic solidification of a binary mixture
7. A continuum model for momentum, heat and species transport in binary solid-liquid phase change system - I. Model formulation
8. Melting in rectangular enclosures: Experiments and numerical simulations
9. A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
10. Experimental study of directional solidification of aqueous ammonium chloride solution
11. Convection in directional solidification of aqueous ammonium chloride solutions
12. Interaction between shrinkage-induced fluid flow and natural convection during alloy solidification
13. Shrinkage-induced fluid flow and domain change in two-dimensional alloy solidification
14. Solidification of an aqueous ammonium chloride solution in a rectangular cavity - I. Experimental study
15. Solidification of an aqueous ammonium chloride solution in a rectangular cavity - II. Comparison of predicted and measured results
16. Numerical modelling of directional solidification of metallic alloys
17. The origin of freckles in unidirectionally solidified castings
18. Convective and interracial instabilities during unidirectional solidification of a binary alloy
19. Visualization study of melting and solidification in convecting hypoeutectic Ga-In alloy
20. Mathematical modeling of two-phase flow
21. Modeling of the formation of under-riser macrosegregation during solidification of binary alloys
22. Compositional convection in the solidification of binary alloys
23. Simulation of freckles during vertical solidification of binary alloys
24. Three-dimensional simulation of freckles in binary alloys
25. Modeling of the globulitic solidification of a binary metal alloy
26. The influence of Mushy region microstructure on macrosegregation in direct chill casting aluminum-copper round ingots
27. A model of a casting
28. On the viscosity of a concentrated suspension of solid spheres
29. The physical metallurgy of cast iron
30. The formation of freckles in binary alloys
31. Macrosegregation in a multicomponent low alloy steel
32. Analysis of two-dimensiomal melting in rectangular enclosures in the presence of convection
33. Conservation of mass and momentum for the flow of solidification
34. General conservation equations for multi-phase systems: 2. Mass, momentum, energy and entropy equations
35. General conservation equations for multi-phase systems: 3. Constitutive theory for porous media
36. General conservation equations for multi-phase systems: 1. Averaging procedure
37. Vertical solidification of dendritic binary alloys
38. A thermodynamically consistent model of a mushy zone
39. Steady state columnar and equiaxed growth of dendrites and eutectic
40. Dynamic solidification of a binary melt
41. Hydrodynamic stability of the melt during solidification of a binary alloy
42. Application of a time dependent constitutive model to rheocast systems
43. A hybrid model of the mushy region in phase-change problems
44. Application of coherency point in a hybrid model of phase transformation
45. Modeling flowability of mushy zone with a hybrid model utilizing coherency solid fraction
46. Two-fluid model and hydrodynamic constitutive relations
47. Analysis of the interdendritic liquid and permeability in Pb-20 wt pct Sn alloys
48. A scaling analysis of the unidirectional solidification of a binary alloy
49. Solution of ternary metal alloys - I. Model development
50. Solidification of ternary metal alloys: A comparison of experimental measurements and model predictions in Pb-Sb-Sn system
51. Fluid flow phenomena and solidification behavior during the casting of a Pb-Sb-Sn alloy
52. Fundamentals of solidification
53. Finite difference heat-transfer modeling for continuous casting
54. Gravitational accelaration effects on macrosegregation experiments and computational modeling
55. Assessment of mathematical models
56. Unified approach to simulation on deforming elements with application to phase change problems
57. Continuously deforming finite elements for the solution of parabolic problems, with and without phase change
58. Flow and morphological conditions associated with unidirectional solidification of aqueous ammonium chloride
59. Convection in the two-phase zone of solidifying alloys
60. Experiments on macrosegregation and freckle formation
61. A numerical analysis of freezing and melting with convection
62. Unidirectional solidification of a binary alloy and the effects of induced fluid motion
63. A volume-averaged two-phase model for transport phenomena during solidification
64. Modeling of globulitic alloy solidification with convection
65. Extension of the continuum model for transport phenomena occurring during metal alloy solidification - I. Microscopic considerations
66. A quantitative approach to casting solidification: Freezing of cast iron
67. Pore formation during solidification
68. The energy and solute conservation equations for dendrite solidification
69. On the numerical solution of continuum mixture model equations describing binary solid-liquid phase change
70. Numerical simulation of a solidifying Pb-Sn alloy: The effects of cooling rate on thermosolutal convection and macrosegregation
71. Convective transport phenomena and macrosegregation during solidification of a binary metal alloy: I - Numerical predictions
72. Convective transport phenomena and macrosegregation during solidification of a binary metal alloy - II. Experiments and comparisons with numerical predictions
73. Solidification of hypereutectic binary alloys with buoyancy and surface tension driven natural convection
74. Solute diffusion model for equiaxed dendritic growth
75. 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
76. The Stefan problem. Translation of mathematical monographs
77. The effect of mold precession on channel and macro-segregation in ammonium chloride-water analog casting
78. 2O
79. Formation of macrosegregation by multicomponent thermosolutal convection during solidification of steel
80. On the formation of macrosegregation in unidirectionally solidified Sn-Pb and Pb-Sn alloys
81. Recrystallization of a rapidly heated 3.25% silicon steel. In recrystallization, grain growth and textures
82. Computer modeling of the solidification of eutectic alloys: The case of cast iron
83. An alternative approach to modeling the grain structure of casting
84. Modeling of equiaxed microstructure formation in casting
85. Fast implicit finite-difference method of the analysis of phase-change problems
86. A fixed grid numerical modeling methodology for convection-diffusion mushy region phase-change problems
87. The modeling of heat, mass and solute transport in solidification system
88. Fixed grid techniques for phase change problems: A review
89. A multiphase micro-macroscopic model of solute diffusion in dendritic alloy solidification
90. Prediction of columnar to equiaxed transition during diffusion-controlled dendritic alloy solidification
91. Computer simulations of microstructural development in dendritic alloy solidification with convection
92. On the permeability of the two-phase zone during solidification of alloys
93. Solidification of an alloy from a cooled boundary
94. Instabilities of the liquid and mushy region during directional solidification of alloys
95. A finite element method for the study of solidification process in the presence of natural convection
96. Effect of anisotropic permeability on the transport process during solidification of a binary mixture
97. A deforming finite element method analysis of inverse Stefan problems