›› 2015, Vol. 24 ›› Issue (1): 16401-016401.doi: 10.1088/1674-1056/24/1/016401

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

Effect of far-field flow on a columnar crystal in the convective undercooled melt

姬小建a, 陈明文a, 徐小花a, 王自东b   

  1. 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
  • 收稿日期:2014-06-16 修回日期:2014-08-25 出版日期:2015-01-05 发布日期:2015-01-05
  • 基金资助:
    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).

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   

  1. 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
  • Received:2014-06-16 Revised:2014-08-25 Online:2015-01-05 Published:2015-01-05
  • Contact: Chen Ming-Wen E-mail:chenmw@ustb.edu.cn
  • Supported by:
    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).

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摘要： 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.

关键词: columnar crystal, far-field uniform flow, interface morphology, crystal growth

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.

Key words: columnar crystal, far-field uniform flow, interface morphology, crystal growth

中图分类号:  (Solid-liquid transitions)

  • 64.70.D-
68.08.-p (Liquid-solid interfaces) 81.30.Fb (Solidification)