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Interfacial evolution of a spherical particle in a uniaximal straining flow
Authors:Chen Ming-Wen  He Guo-Wei  Chen Xiu-Yue  Wang Zi-Dong
Affiliation: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
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.
Keywords:convection  interfaces  nucleation  crystal morphology  crystal growth model
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