The steady-state solution of dendritic growth from the undercooled binary alloy melt with the far field flow  

作　　者：CHEN MingWen1,2, WANG ZiDong2 & XU JianJun2,3,4 1 School of Applied Sciences, University of Science and Technology Beijing, Beijing 100083, China 2 School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China 3 School of Mathematical Sciences, Nankai University, Tianjin 300071, China 4 Department of Mathematics and Statistics, McGill University, Montreal H3A 2K6, Canada 

出　　处：《Science China(Technological Sciences)》2009年第8期2280-2287,共8页中国科学（技术科学英文版）

基　　金：Supported by the National Basic Research Program of China (Grant No. 2006CB605205);the National Natural Science Foundation of China (Grant No. 10672019)

摘　　要：The steady-state dendritic growth from the undercooled binary alloy melt with the far field flow is considered. By neglecting the interface energy, interface kinetics and buoyancy effects in the system, we obtaine the steady-state solution for the case of the large Schmidt number, in terms of the multiple variable expansion method. The changes of the temperature and concentration fields, the morphology of the interface, the normalization parameter and the Peclet number of the system induced by uniform external flow are derived. The results show that, compared with the system of dendritic growth from undercooled pure melt, the convective flow in the system of growth from undercooled binary alloy has stronger effects on the morphology of the interface. Nevertheless, the shape of the interface still remains nearly a paraboloid.The steady-state dendritic growth from the undercooled binary alloy melt with the far field flow is considered. By neglecting the interface energy, interface kinetics and buoyancy effects in the system, we obtaine the steady-state solution for the case of the large Schmidt number, in terms of the multiple variable expansion method. The changes of the temperature and concentration fields, the morphology of the interface, the normalization parameter and the Peclet number of the system induced by uniform external flow are derived. The results show that, compared with the system of dendritic growth from undercooled pure melt, the convective flow in the system of growth from undercooled binary alloy has stronger effects on the morphology of the interface. Nevertheless, the shape of the interface still remains nearly a paraboloid.

关 键 词：BINARY alloy MELT CONVECTION DENDRITIC growth interfaces STEADY-STATE solution multiple variable expansion method 

分 类 号：TG131[一般工业技术—材料科学与工程]