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Numerical simulation on dendritic growth of Al-Cu alloy under convection based on the cellular automaton lattice Boltzmann method |
| Kang-Wei Wang(王康伟)1,2, Meng-Wu Wu(吴孟武)1,2,†, Bing-Hui Tian(田冰辉)1,2, and Shou-Mei Xiong(熊守美)3 |
1 School of Automotive Engineering, Wuhan University of Technology, Wuhan 430070, China;
2 Hubei Key Laboratory of Advanced Technology for Automotive Components, Wuhan University of Technology, Wuhan 430070, China;
3 School of Materials Science and Engineering, Tsinghua University, Beijing 100084, China |
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Abstract A numerical model is developed by coupling the cellular automaton (CA) method and the lattice Boltzmann method (LBM) to simulate the dendritic growth of Al-Cu alloy in both two and three dimensions. An improved decentered square algorithm is proposed to overcome the artificial anisotropy induced by the CA cells and to realize simulation of dendritic growth with arbitrary orientations. Based on the established CA-LBM model, effects of forced convection and gravity-driven natural convection on dendritic growth are studied. The simulation results show that the blocking effect of dendrites on melt flow is advanced with a larger number of seeds. The competitive growth of the converging columnar dendrites is determined by the interaction between heat flow and forced convection. Gravity-driven natural convection leads to highly asymmetric growth of equiaxed dendrites. With sinking downwards of the heavy solute, chimney-like or mushroom-like solute plumes are formed in the melt in front of the columnar dendrites when they grow along the gravitational direction. More details on dendritic growth of Al-Cu alloy under convection are revealed by 3D simulations.
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Received: 28 January 2022
Revised: 20 April 2022
Accepted manuscript online: 23 May 2022
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PACS:
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81.30.Fb
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(Solidification)
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47.11.-j
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(Computational methods in fluid dynamics)
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68.08.De
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(Liquid-solid interface structure: measurements and simulations)
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81.10.-h
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(Methods of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51805389), the Key R&D Program of Hubei Province, China (Grant No. 2021BAA048), the 111 Project (Grant No. B17034) and the fund of Hubei Key Laboratory of Advanced Technology for Automotive Components, Wuhan University of Technology (Grant No. XDQCKF2021011). |
Corresponding Authors:
Meng-Wu Wu
E-mail: wumw@whut.edu.cn
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Cite this article:
Kang-Wei Wang(王康伟), Meng-Wu Wu(吴孟武), Bing-Hui Tian(田冰辉), and Shou-Mei Xiong(熊守美) Numerical simulation on dendritic growth of Al-Cu alloy under convection based on the cellular automaton lattice Boltzmann method 2022 Chin. Phys. B 31 098105
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[1] Tang Y, Wu Y, Zhang Y, Dai Y B, Dong Q, Han Y F, Zhu G L, Zhang J, Fu Y N and Sun B D 2021 Acta Mater. 212 116861
[2] Ren N, Li J, Panwisawas C, Xia M X, Dong H B and Li J G 2021 Acta Mater. 206 116620
[3] Wang T, Hachani L, Fautrelle Y, Delannoy Y, Wang E, Wang X D and Budenkova O 2020 Int. J. Heat Mass Transfer 151 119414
[4] Qin L, Shen J, Li Q D and Shang Z 2017 J. Cryst. Growth 466 45
[5] Hachani L, Zaidat K and Fautrelle Y 2015 Int. J. Heat Mass Transfer 85 438
[6] Peng P, Li S Y, Zheng W C, Lu L and Zhou S D 2021 Trans. Nonferrous Met. Soc. China 31 3096
[7] Ngomesse F, Reinhart G, Soltani H, Zimmermann G, Browne D J, Sillekens W and Nguyen-Thi H 2021 Acta Mater. 221 117401
[8] Shevchenko N, Boden S, Gerbeth G and Eckert S 2013 Metall. Mater. Trans. A 44 3797
[9] Shevchenko N, Roshchupkina O, Sokolova O and Eckert S 2015 J. Cryst. Growth 417 1
[10] Akamatsu S and Henri N T 2016 Acta Mater. 108 325
[11] Henri N T, Luc S, Ragnvald H M, Lars A, Bernard B, Michel S and Guillaume R 2012 C. R. Phys. 13 237
[12] Clarke A J, Tourret D, Song Y, Imhoff S D, Gibbs P J, Gibbs J W, Fezzaa K and Karma A 2017 Acta Mater. 129 203
[13] Yan X W, Xu Q Y and Liu B C 2017 J. Cryst. Growth 479 22
[14] Gu C, Ridgeway C D, Moodiispaw M P and Luo A A 2020 J. Mater. Process. Technol. 286 116829
[15] Xiong L D, Zhu G L, Mi G Y, Wang C M and Jiang P 2021 J. Alloy. Compd. 858 157669
[16] Takaki T, Sato R, Rojas R, Ohno M and Shibuta Y 2018 Comput. Mater. Sci. 147 124
[17] Ratkai L, Pusztai T A and Granasy L 2019 npj Comput. Mater. 5 1
[18] Zhang Q Y, Sun D K, Zhang S H, Wang H and Zhu M F 2020 Chin. Phys. B 29 078104
[19] Rodgers T M, Moser D, Abdeljawad F, Underwood Jackson O D, Carroll J D, Jared B H, Bolintineanu D S, Mitchell J A and Madison J D 2021 Addit. Manufact. 41 101953
[20] Zhang Z D, Cao Y T, Sun D K, Xing H, Wang J C and Ni Z H 2020 Chin. Phys. B 29 028103
[21] Song Y H, Wang M T, Ni J, Jin J F and Zong Y P 2020 Chin. Phys. B 29 128201
[22] Song W, Zhang J M, Wang S X, Wang B and Han L L 2016 J. Cent. South Univ. 23 2156
[23] Fang H, Xue H, Tang Q Y, Zhang Q Y, Pan S Y and Zhu M F 2019 Acta Phys. Sin. 68 048102 (in Chinese)
[24] Zhu M F, Dai T, Lee S Y and Hong C P 2008 Comput. Math. Appl. 55 1620
[25] Sun D K, Chai Z H, Li Q and Lin G 2018 Chin. Phys. B 27 088105
[26] Yin H, Felicelli S D and Wang L 2011 Acta Mater. 59 3124
[27] Liu L, Pian S, Zhang Z, Bao Y, Li R and Chen H 2018 Comput. Mater. Sci. 146 9
[28] Ma R, Dong Z B and Wei Y H 2009 Cryst. Res. Technol. 44 1197
[29] Rolchigo M R, Mendoza M Y, Samimi P, Brice D A, Martin B, Collins P C and Lesar R 2017 Metall. Mater. Trans. 48 3606
[30] Daud A and Bilal M 2014 Appl. Math. Comput. 233 72
[31] Chai Z H and Shi B C 2020 Phys. Rev. E 102 023306
[32] Qian Y H, Humieres D D and Lallemand P 1992 Europhys. Lett. 17 479
[33] Guo Z L, Zheng C G and Shi B C 2002 Phys. Rev. E 65 046308
[34] Shi B C, Deng B and Chen X W 2007 Comput. Math. Appl. 55 1568
[35] Zhang L Q, Yang S L, Zeng Z and Chew J W 2018 Comput. Fluids 176 153
[36] Riheb M, Hassane N, Hacen D, Sihem H and Zohir Y 2020 Int. Commun. Heat Mass Transfer 119 104992
[37] He S Y, Habte B T and Jiang F M 2017 Int. Commun. Heat Mass Transfer 82 1
[38] Mei R W, Shy Y W, Yu D Z and Luo L S 2000 J. Comput. Phys. 161 680
[39] Leila J, Nor A C S, Alireza F and Mahmoud P H A 2016 Int. Commun. Heat Mass Transfer 78 1
[40] Guo Z L, Zheng C G and Shi B C 2002 Chin. Phys. 11 366
[41] Paul L, Pierre B J and Alain N 1991 Physica D 47 233
[42] Wu M W and Xiong S M 2012 Trans. Nonferrous Met. Soc. China 22 2212
[43] Gandin C A and Rappaz M 1994 Acta Mater. 42 2233
[44] Wang W, Lee P H and Mclean M 2003 Acta Mater. 51 2971
[45] Zhu M Y, Wang W L, Ji C and Luo S 2018 Metall. Mater. Trans. 49 200
[46] Zhu M Y, Gao X H, Meng X N, Cui L, Zhang K and Meng Y F 2020 Mater. Res. Express 7 056505
[47] Zhang Q Y, Sun D K, Pan S Y and Zhu M F 2020 Int. J. Heat Mass Transfer 146 118838
[48] Sun D K, Zhang Q Y, Cao W S and Zhu M F 2015 Chin. Phys. Lett. 32 68103
[49] Walton D and Chalmers B 1959 Trans. Metall. Soc. AIME 215 447
[50] Jaehoon L, Ohno M, Shibuta Y and Takaki T 2021 J. Cryst. Growth 558 126014
[51] Pavan L V, Wang F, Michael S and Britta N 2021 Comput. Mater. Sci. 186 109964 |
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