金属学报  2006, Vol. 42 Issue (6): 584-590

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等轴球晶凝固多相体系内热溶质对流、补缩流及晶粒运动的数值建模 I．三相流模型

王同敏; 姚山; 张兴国; 金俊泽; M Wu; A Ludwig; B Pustal; A Buhrig-Polaczek

大连理工大学

MODELLING THE THERMO-SOLUTAL CONVECTION, SHRINKAGE FLOW AND GRAIN MOVEMENT DURING GLOBULAR EQUIAXED SOLIDIFICATION IN A MULTI-PHASE SYSTEM I.THREE-PHASE MODEL

Tongmin Wang

大连理工大学

王同敏; 姚山; 张兴国; 金俊泽; M.Wu; A.Ludwig; B.Pustal; A.Buhrig-Polaczek . 等轴球晶凝固多相体系内热溶质对流、补缩流及晶粒运动的数值建模 I．三相流模型[J]. 金属学报, 2006, 42(6): 584-590 .
, , , , , , , . MODELLING THE THERMO-SOLUTAL CONVECTION, SHRINKAGE FLOW AND GRAIN MOVEMENT DURING GLOBULAR EQUIAXED SOLIDIFICATION IN A MULTI-PHASE SYSTEM I.THREE-PHASE MODEL[J]. Acta Metall Sin, 2006, 42(6): 584-590 .

摘要 参考文献 相关文章 Metrics 全文: PDF(299 KB)   摘要: 基于Eulerian-Eulerian方法和体积元平均技术, 建立了模拟等轴球晶凝固过程 的液、固、气三相流模型. 液、固两相处理成相互分离、相互扩散的介质, 气相 与液、固两相只存在热量及动量的相互作用, 三相(凝固前)作为自由流体共享一 个统一的压力场. 分别求解三相的质量、动量、溶质、热焓守恒方程; 相间的热 量交换和摩擦拖拽以及液/固界面上的溶质再分配和凝固潜热释放, 通过定义对应 守恒方程的源项和交换项而加以考虑; 另外, 单独求解一个晶粒密度守恒方程. 晶粒的形核生长(相变)也加以模型化并体现在对应的源项中, 模型中所用的密度 定义为溶质与温度的函数, 因此可综合考虑热溶质对流、晶粒运动及凝固收缩所 引起的补缩流动. 凝固过程的体积收缩及补缩流动将体现在气/液自由表面的波动上. 关键词 ： 热溶质对流,  补缩流,  晶粒运动     Abstract：A three-phase flow model has been developed to simulate globular equiaxed solidification based on the volume averaging and Eulerian- Eulerian methods. The three phases are liquid, solid and air respectively sharing a single pressure. The basic conservation equations of mass, momentum and enthalpy, and a user defined conservation equation of grain density have been solved for each phase. The thermal and mechanical (drag force) interactions among the phases have been considered. Grain nucleation, growth rate (mass exchange), solute partitioning at the liquid/solid interface and solute transport have also been accounted for. Due to the low density, the air phase floats always at the top region, forming a definable air/liquid melt interface, i.e. free surface. By tracking this free surface, the shrinkage cavity in an open casting system can be modeled. As the temperature and concentration dependent density and solidification shrinkage are explicitly included, the thermosolutal convection, together with feeding flow and grain movement can be taken into account. This paper focuses on the model description and the application examples will be introduced in the part II of this paper. Key words： Thermo-Solutal Convection    Feeding Flow    Grain Movement 收稿日期: 2005-09-29      ZTFLH:  TG249， TG291   服务 把本文推荐给朋友 加入引用管理器 E-mail Alert RSS 作者相关文章 王同敏 姚山 张兴国 金俊泽 M.Wu A.Ludwig B.Pustal A.Buhrig-Polaczek 44.8K 链接本文: https://www.ams.org.cn/CN/      或      https://www.ams.org.cn/CN/Y2006/V42/I6/584 [1] Ohno A. Solidification-The Separation Theory and its Practical Applications. Berlin: Springer-Verlag, 1987: 15 [2] Flemings M C. Solidification Processing. New York: McGraw-Hill, 1974: 1 [3] Campbell J. Castings. Oxford: Butterworth-Heinemann, 1991: 8 [4] Kaempfer Th U, Rappaz M. In: Sahm P R, ed., Proc 9th Conf on Modeling of Casting, Welding and Advanced Solidification Processes, Aachen, TMS, 2000: 640 [5] Ueno K, Nishita T, Kamiyama H . J Magn Magn Mater, 1999; 201: 281 [6] Ehlen G. PhD Thesis, Aachen University of Technology, Aachen, Germany, 2004 [7] Tagawa T. ISIJ Int, 2005, 45: 954 [8] Ni J, Beckermann C. Metall Trans, 1991; 22B: 349 [9] Beckermann C, Viskanta R. Appl Mech Rev, 1993; 46(1): 1 [10] Wang C Y, Beckermann C. Metall Mater Trans, 1996; 27A: 2754 [11] Beckermann C. Int Mater Rev, 2002; 47: 243 [12] Wang C Y, Ahuja S, Beckermann C, Degroh H C. Metall Mater Trans, 1995; 26B: 111 [13] Wu M, Ludwig A. Adv Eng Mater, 2003; 5: 62 [14] Wu M, Ludwig A, Buhrig-Polaczek A, Fehlbier M, Sahm P R. Int J Heat Mass Transf, 2003; 46: 2819 [15] Ludwig A, Wu M, Wang T, Buhrig-Polaczek A. Proc 3rd Conf on Computational Modeling and Simulation of Materials, Sicily, TMS, 2004: B491 [16] Ludwig A, Wu M. Metall Mater Trans, 2002; 33A: 3673 [17] Wang T, Pustal B, Abondano M, Grimmig T, Buhrig-Polaczek A, Wu M, Ludwig A. Trans Nonferrous Met Soc Chin, 2005; 15: 289 [18] Wang T M, Wu M, Ludwig A, Abondano M, Pustal B, Buhrig-Polaczek A. Int J Cast Met Res, 2005; 18: 221 [19] Rappaz M, Gandin Ch-A. Ada Metall Mater, 1993; 41: 345 [20] Kurz W, Fisher D J. Fundamentals Solidification. Lausanne: Trans Tech Publications Ltd, 1985: 189 [21] Ilegbusi O J, Mat M D. Mater Sci Eng, 1998; A247: 135 [22] FLUENT4.4 User's Guide. Vol.2, Chapter 9, New Hampshire: Fluent Inc., 1998: 16 [23] Wang T M, Li T J, Cao Z Q, Jin J Z, Grimmig T, Buhrig-Polaczek A, Wu M, Ludwig A. Acta Metall Sin, 2006; 42: 591 (王同敏,李廷举,曹志强,金俊泽, Grimmig T,Buhrig Polaczek A,Wu M,Ludwig A．金属学报,2006;42:591) [1] 李军,葛鸿浩,GE Honghao,WU Menghuai,李建国. 基于热溶质对流及晶粒运动的柱状晶-非球状等轴晶混合三相模型*[J]. 金属学报, 2016, 52(9): 1096-1104. [2] 彭德林; 安阁英 . Al-Li合金定向凝固的热溶质对流[J]. 金属学报, 2000, 36(10): 1021-1024 . Viewed Full text Abstract Cited   Shared      Discussed