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Effect of far-field flow on a columnar crystal in the convective undercooled melt |
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| Authors: | Ji Xiao-Jian;Chen Ming-Wen;Xu Xiao-Hua;Wang Zi-Dong |
| Institution: | 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 |
| 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. |
| Keywords: | columnar crystal far-field uniform flow interface morphology crystal growth |
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