·208· 工程科学学报，第41卷，第2期 [4] Chakraborty S,Dutta P.Effects of dendritic arm coarsening on [16]Hietanen P T,Louhenkilpi S,Yu S.Investigation of solidifica- macroscopic modelling of solidification of binary alloys.Mater Sci tion,heat transfer and fluid flow in continuous casting of steel Technol..2001,17(12):1531 using an advanced modeling approach.Steel Res Int,2017,88 [5]Pfeiler C.Thomas B G,Wu M,et al.Solidification and particle (7):1600355 entrapment during continuous casting of steel.Steel Res Int,2008, [17]Wang QQ.Stundy on the Multiphase Flow,Heat Transfer and 79(8):599 Solidification,Motion and Entrapment of Inclusions during Con- [6]Gu J P,Beckermann C.Simulation of convection and macroseg- tinuous Casting Dissertation ]Beijing:University of Science regation in a large steel ingot.Metall Mater Trans A,1999,30 and Technology Beijing,2016 (5):1357 (王强强.连铸过程多相流、传热凝固及夹杂物运动捕获的 [7]Yang H L,Zhang X Z,Deng K W,et al.Mathematical simulation 研究[学位论文].北京：北京科技大学，2016) on coupled flow,heat,and solute transport in slab continuous [18]Voller V R,Prakash C.A fixed grid numerical modelling meth- casting process.Metall Mater Trans B,1998.29(6):1345 odology for convection-diffusion mushy region phase-change prob- [8]Aboutalebi M R,Hasan M,Guthrie R I L.Coupled turbulent lems.Int J Heat Mass Transfer,1987,30(8)1709 flow,heat,and solute transport in continuous casting processes. [19]Carman P C.Fluid flow through granular beds.Trans Inst Chem Metall Mater Trans B,1995,26(4):731 Eng,1937,15:150 [9] Seyedein S H,Hasan M.A three-dimensional simulation of cou- [20]Minakawa S,Samarasekera I V,Weinberg F.Centerline porosity pled turbulent flow and macroscopic solidification heat transfer for in plate castings.Metall Trans B,1985,16(4):823 continuous slab casters.Int J Heat Mass Transfer,1997,40(18): [21]Won Y M,Thomas B G.Simple model of microsegregation dur- 4405 ing solidification of steels.Metall Mater Trans A,2001,32(7): [10]Aboutalebi M R,Guthrie R I L,Seyedein S H.Mathematical 1755 modeling of coupled turbulent flotw and solidification in a single [22]Jiang D B,Zhu M Y.Flow and solidification in billet continuous belt caster with electromagnetic brake.Appl Math Modell,2007. casting machine with dual electromagnetic stirrings of mold and 31(8):1671 the final solidification.Steel Res Int,2015,86(9):993 [11]Netto PGQ,Guthrie R I L.Modelling of a novel configuration [23]Ji Y,Tang H Y,Lan P,et al.Effect of dendritic morphology for single-belt caster:the influence of empirical parameters on the and central segregation of billet castings on the microstructure and solidification profile.IS/J Int,2000,40(5):460 mechanical property of hot-rolled wire rods.Steel Res Int,2017, [12]Sun H B.Zhang JQ.Study on the macrosegregation behavior for 88(8):1600426 the bloom continuous casting:model development and validation. [24]Jones W P,Launder B E.The calculation of low-Reynolds-num- Metall Mater Trans B,2014,45(3):1133 ber phenomena with a two-equation model of turbulence.Int J [13]Sun H B.Zhang J Q.Effect of feeding modes of molten steel on Heat Mass Transfer,1973,16(6):1119 the mould metallurgical behavior for round bloom casting./S/ [25]Lai K Y M,Salcudean M,Tanaka S,et al.Mathematical model- ,2011,51(10):1657 ing of flows in large tundish systems in steelmaking.Metall Trans [14]He M L,Wang N,Chen M,et al.Physical and numerical simu- B.1986,17(3):449 lation of the fluid flow and temperature distribution in bloom con- [26]Savage J,Pritchard W H.The problem of rupture of the billet in tinuous casting mold.Steel Res Int,2017,88(9):1600447 the continuous casting of steel.J fron Steel Inst,1954.178(3): [15]Trindade L B,Nadalon J E A,Contini A C,et al.Modeling of 269 solidification in continuous casting round billet with mold electro [27]Cai KK.Continuous Casting Mold.Beijing:Metallurgical In- magnetic stirring (M-EMS).Steel Res Int,2017.88(4): dustry Press,2008 1600319 (蔡开科.连铸结品器.北京：冶金工业出版社，2008)工程科学学报,第 41 卷,第 2 期 [4] Chakraborty S, Dutta P. Effects of dendritic arm coarsening on macroscopic modelling of solidification of binary alloys. Mater Sci Technol, 2001, 17(12): 1531 [5] Pfeiler C, Thomas B G, Wu M, et al. Solidification and particle entrapment during continuous casting of steel. Steel Res Int, 2008, 79(8): 599 [6] Gu J P, Beckermann C. Simulation of convection and macroseg鄄 regation in a large steel ingot. Metall Mater Trans A, 1999, 30 (5): 1357 [7] Yang H L, Zhang X Z, Deng K W, et al. Mathematical simulation on coupled flow, heat, and solute transport in slab continuous casting process. Metall Mater Trans B, 1998, 29(6): 1345 [8] Aboutalebi M R, Hasan M, Guthrie R I L. Coupled turbulent flow, heat, and solute transport in continuous casting processes. Metall Mater Trans B, 1995, 26(4): 731 [9] Seyedein S H, Hasan M. A three鄄dimensional simulation of cou鄄 pled turbulent flow and macroscopic solidification heat transfer for continuous slab casters. Int J Heat Mass Transfer, 1997, 40(18): 4405 [10] Aboutalebi M R, Guthrie R I L, Seyedein S H. Mathematical modeling of coupled turbulent flotw and solidification in a single belt caster with electromagnetic brake. Appl Math Modell, 2007, 31(8): 1671 [11] Netto P G Q, Guthrie R I L. Modelling of a novel configuration for single鄄belt caster: the influence of empirical parameters on the solidification profile. ISIJ Int, 2000, 40(5): 460 [12] Sun H B, Zhang J Q. Study on the macrosegregation behavior for the bloom continuous casting: model development and validation. Metall Mater Trans B, 2014, 45(3): 1133 [13] Sun H B, Zhang J Q. Effect of feeding modes of molten steel on the mould metallurgical behavior for round bloom casting. ISIJ Int, 2011, 51(10): 1657 [14] He M L, Wang N, Chen M, et al. Physical and numerical simu鄄 lation of the fluid flow and temperature distribution in bloom con鄄 tinuous casting mold. Steel Res Int, 2017, 88(9): 1600447 [15] Trindade L B, Nadalon J E A, Contini A C, et al. Modeling of solidification in continuous casting round billet with mold electro鄄 magnetic stirring ( M鄄鄄 EMS ). Steel Res Int, 2017, 88 ( 4 ): 1600319 [16] Hietanen P T, Louhenkilpi S, Yu S. Investigation of solidifica鄄 tion, heat transfer and fluid flow in continuous casting of steel using an advanced modeling approach. Steel Res Int, 2017, 88 (7): 1600355 [17] Wang Q Q. Stundy on the Multiphase Flow, Heat Transfer and Solidification, Motion and Entrapment of Inclusions during Con鄄 tinuous Casting [ Dissertation]. Beijing: University of Science and Technology Beijing, 2016 (王强强. 连铸过程多相流、传热凝固及夹杂物运动捕获的 研究[学位论文]. 北京: 北京科技大学, 2016) [18] Voller V R, Prakash C. A fixed grid numerical modelling meth鄄 odology for convection鄄diffusion mushy region phase鄄change prob鄄 lems. Int J Heat Mass Transfer, 1987, 30(8): 1709 [19] Carman P C. Fluid flow through granular beds. Trans Inst Chem Eng, 1937, 15: 150 [20] Minakawa S, Samarasekera I V, Weinberg F. Centerline porosity in plate castings. Metall Trans B, 1985, 16(4): 823 [21] Won Y M, Thomas B G. Simple model of microsegregation dur鄄 ing solidification of steels. Metall Mater Trans A, 2001, 32(7): 1755 [22] Jiang D B, Zhu M Y. Flow and solidification in billet continuous casting machine with dual electromagnetic stirrings of mold and the final solidification. Steel Res Int, 2015, 86(9): 993 [23] Ji Y, Tang H Y, Lan P, et al. Effect of dendritic morphology and central segregation of billet castings on the microstructure and mechanical property of hot鄄rolled wire rods. Steel Res Int, 2017, 88(8): 1600426 [24] Jones W P, Launder B E. The calculation of low鄄Reynolds鄄num鄄 ber phenomena with a two鄄equation model of turbulence. Int J Heat Mass Transfer, 1973, 16(6): 1119 [25] Lai K Y M, Salcudean M, Tanaka S, et al. Mathematical model鄄 ing of flows in large tundish systems in steelmaking. Metall Trans B, 1986, 17(3): 449 [26] Savage J, Pritchard W H. The problem of rupture of the billet in the continuous casting of steel. J Iron Steel Inst, 1954, 178(3): 269 [27] Cai K K. Continuous Casting Mold. Beijing: Metallurgical In鄄 dustry Press, 2008 (蔡开科. 连铸结晶器. 北京: 冶金工业出版社, 2008) ·208·