The modelling of heat, mass and solute transport in solidification systems
Tài liệu tham khảo
Eyres, 1946, The calculation of variable heat flow in solids, Phil. Trans. R. Soc, 240, 1, 10.1098/rsta.1946.0002
Flemings, 1967, Macro-segregation: Part I, Trans. TMS-AIME, 239, 1449
Flemings, 1968, Macro-segregation: Part II, Trans. TMS-AIME, 242, 41
Flemings, 1968, Macro-segregation: Part III, Trans. TMS-AIME, 242, 50
Mehrabian, 1970, Interdendritic fluid flow and macro-segregation, influence of gravity, Metall. Trans. B, 1B, 3228
Kou, 1977, Macro-segregation in electroslag remelted ingots, 35, 221
Maples, 1984, Convection in the twophase zone of solidifying alloys, Metall. Trans. B, 15B, 163, 10.1007/BF02661075
Crank, 1984
Clyne, 1984, Modelling of heat flow in solidification, Mater. Sci. Engng, 65, 111, 10.1016/0025-5416(84)90205-2
Sparrow, 1977, Analysis of melting in the presence of natural convection in the melt region, J. Heat Transfer, 99, 520, 10.1115/1.3450736
Gadgil, 1984, Analysis of two-dimensional melting in rectangular enclosures in presence of convection, J. Heat Transfer, 106, 20, 10.1115/1.3246636
Benard, 1986, Moving boundary problem: heat conduction in the solid phase of a phasechange material during melting driven by natural convection in the liquid, Int. J. Heat Mass Transfer, 29, 1669, 10.1016/0017-9310(86)90108-0
Yoo, 1986, A finite element method for the study of solidification processes in the presence of natural convection, Int. J. Numer. Meth. Engng, 23, 1785, 10.1002/nme.1620231002
Morgan, 1981, A numerical analysis of freezing and melting with convection, Comp. Meth. Appl. Engng, 28, 275, 10.1016/0045-7825(81)90002-5
Voller, 1987, An enthalpy method for convection/diffusion phase change, Int. J. Numer. Meth. Engng, 24, 271, 10.1002/nme.1620240119
Brent, 1988, The enthalpy porosity technique for modelling convection-diffusion phase change: application to the melting of a pure metal, Numer. Heat Transfer, 13, 297, 10.1080/10407788808913615
Szekely, 1978, An experimental and analytical study of the solidification of a binary dendritic system, Metall. Trans. B, 9B, 389, 10.1007/BF02654412
Voller, 1987, A fixed grid numerical modelling methodology for convection-diffusion mushy region phase-change problems, Int. J. Heat Mass Transfer, 30, 1709, 10.1016/0017-9310(87)90317-6
Voller, 1987, A numerical method for analysis of solidification in heat and mass transfer systems, 693
Bennon, 1987, A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems—1. Model formulation, Int. J. Heat Mass Transfer, 30, 2161, 10.1016/0017-9310(87)90094-9
Bennon, 1987, A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems—2. Application to solidification in a rectangular cavity, Int. J. Heat Mass Transfer, 30, 2171, 10.1016/0017-9310(87)90095-0
Bennon, 1987, The evolution of macro-segregation in statically cast binary ingots, Metall. Trans. B, 18B, 611, 10.1007/BF02654275
Bennon, 1988, Numerical analysis of binary solid-liquid phase change using a continuum model, Numer. Heat Transfer, 13, 277, 10.1080/10407788808913614
Viskanta, 1987, Mathematical modelling of solidification
Beckermann, 1988, Double-diffusive convection during dendritic solidification of a binary mixture, PCH, 10, 195
Carver, 1984, Numerical computation of phase separation in two fluid flow, J. Fluids Engng, 106, 147, 10.1115/1.3243091
Ishii, 1984, Two-fluid model and hydrodynamic constitutive relations, Nucl. Engng Des, 82, 107, 10.1016/0029-5493(84)90207-3
Rappaz, 1989, Micro-/macroscopic modeling of solidification, Int. Mater. Rev, 10.1179/imr.1989.34.1.93
Patankar, 1980
Poirier, 1987, Permeability for flow of interdendritic liquid in columnar-dendritic alloys, Metall. Trans. B, 18B, 245, 10.1007/BF02658450
Rappaz, 1989, A note on accounting for the effect of the microstructure in a macroscopic model of a solidification process, Metall. Trans. A
Celmins, 1988, Representation of two-phase flows by volume averaging, Int. J. Multiphase Flow, 14, 81, 10.1016/0301-9322(88)90035-3
Flemings, 1974
Gartling, 1980, Finite element analysis of convective heat transfer problems with change of phase, Comput. Meth. Fluids, 257
Prakash, 1989, On the numerical solution of continuum mixture model equations describing binary solid-liquid phase change, Numer. Heat Transfer B, 15, 171, 10.1080/10407798908944899