中国物理B ›› 2012, Vol. 21 ›› Issue (10): 106802-106802.doi: 10.1088/1674-1056/21/10/106802

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

Interfacial evolution of a spherical particle in a uniaximal straining flow

陈明文a b, 贺国伟a, 陈修月a, 王自东c   

  1. a School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;
    b Department of Mathematics and Statistics, McGill University, Montreal, QC, H3A 0B9, Canada;
    c School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China
  • 收稿日期:2012-01-03 修回日期:2012-01-20 出版日期:2012-09-01 发布日期:2012-09-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10972030), the Fundamental Research Funds for the Central University (Grant No. FRF-BR-11-034B), the Overseas Distinguished Scholar Program by the Ministry of Education, China (Grant No. MS2010bjkj005).

Interfacial evolution of a spherical particle in a uniaximal straining flow

Chen Ming-Wen (陈明文)a b, He Guo-Wei (贺国伟)a, Chen Xiu-Yue (陈修月)a, Wang Zi-Dong (王自东)c   

  1. a School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;
    b Department of Mathematics and Statistics, McGill University, Montreal, QC, H3A 0B9, Canada;
    c School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China
  • Received:2012-01-03 Revised:2012-01-20 Online:2012-09-01 Published:2012-09-01
  • Contact: Chen Ming-Wen, Wang Zi-Dong E-mail:chenmw@ustb.edu.cn; mingwen.chen@mcgill.ca; wangzd@mater.ustb.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10972030), the Fundamental Research Funds for the Central University (Grant No. FRF-BR-11-034B), the Overseas Distinguished Scholar Program by the Ministry of Education, China (Grant No. MS2010bjkj005).

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摘要： The growth behavior of a spherical particle in undercooled melt, affected by uniaxial straining flows, is studied. The analytical solution obtained by the matched asymptotic expansion method shows that the uniaxial straining flow effect results in higher local growth rate near the surface where the flow comes in and lower local growth rate near the surface where the flow goes out, and that the uniaxial straining flow causes an initially spherical particle to evolve into an oblate spheroid.

关键词: convection, interfaces, nucleation, crystal morphology, crystal growth model

Abstract: The growth behavior of a spherical particle in undercooled melt, affected by uniaxial straining flows, is studied. The analytical solution obtained by the matched asymptotic expansion method shows that the uniaxial straining flow effect results in higher local growth rate near the surface where the flow comes in and lower local growth rate near the surface where the flow goes out, and that the uniaxial straining flow causes an initially spherical particle to evolve into an oblate spheroid.

Key words: convection, interfaces, nucleation, crystal morphology, crystal growth model

中图分类号:  (Whiskers and dendrites (growth, structure, and nonelectronic properties))

  • 68.70.+w
81.10.Aj (Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation) 81.30.Fb (Solidification)