The effect of far field flow on a spherical crystal growth in the undercooled melt

作     者：Mingwen Chen Zidong Wang Jianxin Xie Jian-Jun Xu 

作者机构：School of Applied Sciences University of Science and Technology Beijing Beijing 100083 China School of Materials Science and Engineering University of Science and Technology Beijing Beijing 100083 China School of Mathematical Sciences Nankai University Tianjin 300071 China Department of Mathematics and Statistics McGill University Montreal H3A 2K6 Canada 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2008年第24卷第6期

页      面：681-689页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0703[理学-化学] 0702[理学-物理学] 

基　　金：the National Basic Research Program of China (the Project 973) (2006CB605205) the National Natural Science Foundation of China (10672019) 

主　　题：Solid-liquid interface Spherical crystal Convective flow Crystal growth Undercooled melt 

摘      要：The effect of convective flow on a spherical crystal growth in the undercooled melt with a moderate far field flow is studied. The asymptotic solution of the evolution of the interface of the spherical crystal growth is obtained by the matched asymptotic expansion method. The analytic result shows that the convective flow in the undercooled melt has a strong effect on the evolution of spherical crystal growth. The convective flow induced by the far field flow makes the interface of the growing spherical crystal enhance its growth velocity in the upstream direction of the far field flow and inhibit growth in the downstream direction, and the interface of the decaying spherical crystal further decay in the upstream direction and inhibit decay in the downstream direction. The maximum growth velocity of the interface of the spherical crystal influenced by the far field flow is obtained.