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Effect of far-field flow on a columnar crystal in the convective undercooled melt |
Ji Xiao-Jian (姬小建)a, Chen Ming-Wen (陈明文)a, Xu Xiao-Hua (徐小花)a, Wang Zi-Dong (王自东)b |
a School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China; b School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China |
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Abstract The growth behavior of a columnar crystal in the convective undercooled melt affected by the far-field uniform flow is studied and the asymptotic solution for the interface evolution of the columnar crystal is derived by means of the asymptotic expansion method. The results obtained reveal that the far-field flow induces a significant change of the temperature around the columnar crystal and the convective flow caused by the far-field flow accelerates the growth velocity of the interface of the growing columnar crystal in the upstream direction and inhibits its growth velocity in the downstream direction. Our results are similar to the experimental data and numerical simulations.
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Received: 16 June 2014
Revised: 25 August 2014
Accepted manuscript online:
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PACS:
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64.70.D-
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(Solid-liquid transitions)
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68.08.-p
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(Liquid-solid interfaces)
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81.30.Fb
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(Solidification)
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Fund: Project supported by the Overseas Distinguished Scholar Program by the Ministry of Education of China (Grant No. MS2010BJKJ005), the National Natural Science Foundation of China (Grant No. 10972030), and the Science and Technology Support Project of Jiangxi, China (Grant No. 20112BBE50006). |
Corresponding Authors:
Chen Ming-Wen
E-mail: chenmw@ustb.edu.cn
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Cite this article:
Ji Xiao-Jian (姬小建), Chen Ming-Wen (陈明文), Xu Xiao-Hua (徐小花), Wang Zi-Dong (王自东) Effect of far-field flow on a columnar crystal in the convective undercooled melt 2015 Chin. Phys. B 24 016401
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