[1]
W.D. Bennon, 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) 2161-70.
DOI: 10.1016/0017-9310(87)90094-9
Google Scholar
[2]
M.J.M. Krane, F.P. Incropera, D.R. Gaskell, Solidification of ternary metal alloys - I. Model development, Int. J. Heat Mass Transfer 40 (1997) 3827-3835.
DOI: 10.1016/s0017-9310(97)00041-0
Google Scholar
[3]
N. Ahmad, H. Combeau, J.L. Desbiolles, T. Jalanti, G. Lesoult, J. Rappaz, M. Rappaz, C. Stomp, Numerical simulation of macrosegregation: A comparison between finite volume method and finite element method predictions and a confrontation with experiments, Metall. Mater. Trans. 29A (1998).
DOI: 10.1007/s11661-998-0143-9
Google Scholar
[4]
M. Schneider, C. Beckermann, A numerical study of the combined effects of microsegregation, mushy zone permeability and fllow, caused by volume contraction and thermosolutal convection, on macrosegregation and eutectic formation in binary alloy solidification, Int. J. Heat Mass Transfer 38 (1995).
DOI: 10.1016/0017-9310(95)00054-d
Google Scholar
[5]
V. R. Voller, A.D. Brent, C. Prakash, The modelling of heat, mass and solute transport in solidification systems, Int. J. Heat Mass Transfer 32 (1989) 1719-31.
DOI: 10.1016/0017-9310(89)90054-9
Google Scholar
[6]
M. Zaloznik, H. Combeau, Effects of solidification kinetics and liquid density in modeling of macrosegregation in castings, in: S. L. Cockcroft and D. M. Maijer (Eds. ), Proceedings of MCWASP XII, A Publication of TMS, Warrendale, Pennsylvania, 2009, pp.253-260.
Google Scholar
[7]
M. Wu, J. Li, A. Ludwig, A. Kharicha, Modeling diffusion-governed solidification of ternary alloy – I: Coupling solidification kinetics with thermodynamics, Comp. Mater. Sci. 79 (2013) 830-840.
DOI: 10.1016/j.commatsci.2013.05.015
Google Scholar
[8]
A. Ludwig, M. Gruber-Pretzler, F. Mayer, A. Ishmurzin, M. Wu, A way of coupling ternary phase diagram information with multiphase solidification simulations, Mater. Sci. Eng. A 413-414 (2005) 485-489.
DOI: 10.1016/j.msea.2005.09.012
Google Scholar
[9]
A. Ishmurzin, M. Gruber-Pretzler, F. Mayer, M. Wu, A. Ludwig, Multiphase/multicomponent modeling of solidification processes: coupling solidification kinetics with thermodynamics, Int. J. Mater. Res. 99 (2008) 618-625.
DOI: 10.3139/146.101682
Google Scholar
[10]
M. Wu, A. Ludwig, A 3-phase model for mixed columnar-equiaxed solidification, Metall. Mater. Trans. 37A (2006) 1613-1631.
DOI: 10.1007/s11661-006-0104-0
Google Scholar
[11]
M. Wu, A. Ludwig, Using a three-phase deterministic model for the columnar-to-equiaxed transition (CET), Metall. Mater. Trans. 38A (2007) 1465-1475.
DOI: 10.1007/s11661-007-9175-9
Google Scholar
[12]
M. Wu, L. Könözsy, A. Ludwig, W. Schützenhöfer, R. Tanzer, On the formation of macrosegregation in steel ingot castings, Steel Res. Int. 79 (2008) 637-644.
DOI: 10.1002/srin.200806177
Google Scholar
[13]
J. Li, M. Wu, J. Hao, A. Kharicha, A. Ludwig, Simulation of channel segregation using a two-phase columnar solidification model, Part II: Mechanism and parameter study, Comp. Mater. Sci. 55 (2012) 419-429.
DOI: 10.1016/j.commatsci.2011.12.021
Google Scholar