基于三维LBM-CA模型模拟Al-4.7%Cu合金的枝晶形貌和成分分布<sup>*</sup>

doi:10.11896/j.issn.1005-023X.2017.020.029

Abstract
Figure/Table
References
Related Citation (15)

Download:

Full Text ( PDF ) (2152KB)
Export: BibTeX | EndNote (RIS)

Abstract A new three-dimensional numerical model combining the lattice Boltzmann(LB) and cellular automaton(CA) met-hods was developed to simulate heat transport, fluid flow, solute diffusion, and dendritic growth in the process of the Al-4.7%Cu solidification of the single-phase solid solution alloy. In the coupled model, the dendritic growth was simulated by the cellular auto-maton method, and the temperature field, the flow field and the concentration field in the process of dendritic growth were numerically solved using the lattice Boltzmann method based on the molecule-kinetic theory. The simulation results verify that the change of dendrite morphology and the solute concentration during the solidification process which were reproduced. The effects of natural convection and undercooling on the dendrite morphology and composition distribution were studied quantitatively. The results show that under the condition of pure diffusion, the dendritic growth is symmetrical, the relationship between the tip velocity, the tip radius and the undercooling degree of the steady growth of simulated free dendrite is in good agreement with the predictions of the Lipton-Glicksman-Kurz(LGK) model. Under the condition of natural convection, themorphology of dendrite growth is asymmetric, that is to say, the dendritic growth in the upstream region of the natural flow is promoted, as well as the dendrite growth in the downstream region is inhibited. The effect of undercooling on dendrite growth is also great, the increase of undercooling leads to the increase of dendrite growth, and the secondary arms increase and coarsen, the solute concentration at the solid-liquid interface of the dendrite tip increases, which aggravates the solute segregation.

Key words： numerical simulation dendrite growth three dimensional LBM-CA model flow field solute enrichment

Published: 25 October 2017 Online: 2018-05-05

CLC number:

TG146.2

	Service
	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	PIAN Song
	ZHANG Zhao
	BAO Yuchong
	LIU Lin
	LI Ri

Cite this article:

PIAN Song,ZHANG Zhao,BAO Yuchong, et al. Simulation of Dendrite Morphology and Composition Distribution of Al-4.7%Cu Alloy Based on Three Dimensional LBM-CA Model[J]. Materials Reports, 2017, 31(20): 140-146.

URL:

https://www.mater-rep.com/EN/10.11896/j.issn.1005-023X.2017.020.029 OR https://www.mater-rep.com/EN/Y2017/V31/I20/140

1 Rappaz M, Gandin C A.Probabilistic modeling of microstructure formation in solidification[J].Acta Metal Mater,1993,41(2):345.
2 Belteran-sanchez L, Stefanescu D M.A quantitative dendrite growth model and analysis of stability concepts[J].Metall Mater Trans A,2004,35(8):2471.
3 Shan B W, Lin X,Lei W, et al.A new growth kinetics in simulation of dendrite growth by cellular automaton method[J].Adv Mater Res,2007,26(28):957.
4 Feng Z G,Michaelides E E.The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems[J]. J Comput Phys,2004,195(2):602.
5 Zhu L H,Guo Z L.GPU accelerated lattice Boltzmann simulation of flow in porous media[J].Chinese J Comput Phys,2015,32(1):20(in Chinese).
朱炼华,郭照立.基于格子Boltzmann方法的多孔介质流动模拟GPU加速[J].计算物理,2015,32(1):20.
6 Fu Y,Zhao S,Wang W,et al. Application of lattice Boltzmann met-hod for simulation of multiphase/multicomponent flow in microfui-dics[J].Ciesc J,2014,65(7):2535.
7 Yang C R, Sun D K, Pan S Y, et al. CA-LBM for the simulation of dendritic growth under natural convection[J]. Acta Metall Sin, 2009, 45(1):43(in Chinese).
杨朝蓉, 孙东科, 潘诗琰, 等. CA-LBM模型自然对流作用下的枝晶生长[J].金属学报, 2009, 45(1):43.
8 Bohumir J, Mohsen E, Sergio F,et al.Large-scale parallel lattice Boltzmann-cellular automaton model of two-dimensional dendritic growth[J].Comput Phys Commun, 2014, 185(3):939.
9 Sun D K, Zhu M F, Yang C R, et al. Modelling of dendritic growth in forced and natural conwections[J].Acta Phys Sin,2009, 58(13):285(in Chinese).
孙东科, 朱鸣芳, 杨朝蓉, 等. 强制对流和自然对流作用下枝晶生长的数值模拟[J]. 物理学报, 2009, 58(13):285.
10何雅玲, 王勇, 李庆. 格子Boltzmann方法的理论和应用[M]. 北京:北京科学出版社, 2009:49.
11Li X, Fang B, Xu X G,et al.Research progress in 3D simulation of microstructure of materials[J].Mater Rev,2011, 25(S2):245(in Chinese).
李星, 方斌, 徐秀国, 等.材料微观组织结构三维模拟的研究进展[J].材料导报,2011, 25(专辑18):245.
12Eshraghi M, Felicelli S D, Jelinek B.Three dimensional simulation of solutal dendrite growth using lattice Boltzmann and cellular automaton methods[J].J Cryst Growth,2012,354(1):129.
13Yin H, Feliceli S D,Wang L.Simulation of a dendritic microstructure with the lattice Boltzmann and cellular automaton methods[J].Acta Mater,2011,59(8):3124.
14Guo Z L, Li Q, Zheng C G.Lattice Boltzmann simulation of double diffusive natural convection[J].Chinese J Comput Phys,2002,19(6):483(in Chinese).
郭照立,李青,郑楚光.双扩散自然对流的格子Boltzmann模拟[J].计算物理,2002,19(6):483.
15Pan S Y, Zhu M F.A three-dimensional sharp interface model for the quantitative simulation of solutal dendritic growth[J]. Acta Mater,2010,58(1):340.
16Guo Z, Zheng C, Shi B. An extrapolation method for pressure and velocity boundary conditions in lattice Boltzmann method[J]. Chinese Phys, 2002,11(4):366.
17Nie D M, Lin J Z. Boundary conditions in lattice boltzmann method[J]. Chinese J Comput Phys, 2004, 21(1):21(in Chinese).
聂德明, 林建忠. 格子Boltzmann 方法中的边界条件[J]. 计算物理, 2004,21(1):21.
18Lipton J, Glicksman M E,Kurz W. Equiaxed dendrite growth at small supercooling[J].Metall Mater Trans A,1987,18(2):34.
19Lipton J, Glicksman M E, Kurz W. Dendritic growth into undercooled alloy melts[J].Mater Sci Eng, 1984,65(1):57.
20崔忠圻, 谭耀春.金属学与热处理[M].北京:机械工业出版社,2007:78.
21Rojas R,Takaki T, Ohno M. A phase-field-lattice Boltzmann method for modeling motion and growth of a dendrite for binary alloy solidification in the presence of melt convection[J]. J Comput Phys, 2015,298(1):29.