| CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES |
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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 |
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 |
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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.
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Received: 03 January 2012
Revised: 20 January 2012
Accepted manuscript online:
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PACS:
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68.70.+w
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(Whiskers and dendrites (growth, structure, and nonelectronic properties))
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81.10.Aj
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(Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)
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81.30.Fb
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(Solidification)
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| Fund: 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). |
Corresponding Authors:
Chen Ming-Wen, Wang Zi-Dong
E-mail: chenmw@ustb.edu.cn; mingwen.chen@mcgill.ca; wangzd@mater.ustb.edu.cn
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Cite this article:
Chen Ming-Wen (陈明文), He Guo-Wei (贺国伟), Chen Xiu-Yue (陈修月), Wang Zi-Dong (王自东) Interfacial evolution of a spherical particle in a uniaximal straining flow 2012 Chin. Phys. B 21 106802
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