An asymptotic approach to solidification shrinkage-induced macrosegregation in the continuous casting of binary alloys
Tài liệu tham khảo
Saleem, 2015, Formation of the tin rich layer and inverse segregation in phosphor bronzes during continuous casting, 15
Flemings, 1967, Macrosegregation. i., Trans. TMS-AIME, 239, 1449
Flemings, 1968, Macrosegregation. 2., Trans. TMS-AIME, 242, 41
Chen, 1993, Inverse segregation for a unidirectional solidification of aluminium-copper alloys, Int. J. Heat Mass Transf., 36, 3069, 10.1016/0017-9310(93)90035-5
Sun, 2014, Study on the macrosegregation behavior for the bloom continuous casting: model development and validation, Metall. Mater. Trans. B, 45B, 1133, 10.1007/s11663-013-9986-6
Yang, 1998, Mathematical simulation on coupled flow, heat, and solute transport in slab continuous casting process, Metall. Mater. Trans. B, 29B, 1345, 10.1007/s11663-998-0058-2
Miyazawa, 1981, Macrosegregation in continuously cast slabs: preliminary theoretical investigation on the effect of steady state bulging, Arch. Eisenhüttenwes., 52, 415, 10.1002/srin.198104599
Založnik, 2008, Verification of a numerical model of macrosegregation in direct chill casting, Int. J. Num. Meth. Heat Fluid Flow, 18, 308, 10.1108/09615530810853600
Eskin, 2006, Relationship between shrinkage-induced macrosegregation and the sump profile upon direct-chill casting, Script. Mater., 55, 715, 10.1016/j.scriptamat.2006.06.021
Jalanti, 2000
Mahmoudi, 2003, An experimental and numerical study on the modelling of fluid flow, heat transfer and solidification in a copper continuous strip casting process, Mater. Trans., 44, 1741, 10.2320/matertrans.44.1741
Mahmoudi, 2006, Mathematical modelling of fluid flow, heat transfer and solidification in a strip continuous casting process, Int. J. Cast Metals Res., 19, 223, 10.1179/136404606225023453
Saleem, 2016
Voller, 1987, A fixed grid numerical modelling methodology for convection-diffusion mushy region phase-change problems, Int. J. Heat Mass Transf., 30, 1709, 10.1016/0017-9310(87)90317-6
Haug, 1995, Macrosegregation near a cast surface caused by exudation and solidification shrinkage, Int. J. Heat Mass Transf., 38, 1553, 10.1016/0017-9310(94)00286-5
Vynnycky, 2009, An asymptotic model for the formation and evolution of air gaps in vertical continuous casting, Proc. Roy. Soc. A, 465, 1617, 10.1098/rspa.2008.0467
Vynnycky, 2009, A mathematical model for air-gap formation in vertical continuous casting: the effect of superheat, Trans. Ind. Inst. Met., 62, 495, 10.1007/s12666-009-0064-3
Vynnycky, 2013, On the onset of air-gap formation in vertical continuous casting with superheat, Int. J. Mech. Sci., 73, 69, 10.1016/j.ijmecsci.2013.04.007
Vynnycky, 2017, On the explicit resolution of the mushy zone in the modelling of the continuous casting of alloys, Appl. Math. Mod., 50, 544, 10.1016/j.apm.2017.06.007
Mahmoudi, 2001, Modelling of fluid flow, heat transfer, solidification in the strip casting of copper base alloy. Part 3. Solidification – a theoretical study, Scand. J. Metall., 30, 136, 10.1034/j.1600-0692.2001.300304.x
Bender, 1978
Holmes, 2013
Fredriksson, 2006
Vynnycky, 2015, On the numerical solution of a Stefan problem with finite extinction time, J. Comp. Appl. Math., 276, 98, 10.1016/j.cam.2014.08.023