QQ客服 官方微博 反馈留言

	A cellular automaton technique for modelling of a binary dendritic growth with convection
	Li, Daming ; Li, Ruo ; Zhang, Pingwen
	2007
关键词	cellular automaton dendritic growth segregation continuum model melt convection PHASE-FIELD MODEL SOLIDIFICATION MICROSTRUCTURES GRAIN STRUCTURES ALLOYS PREDICTION SIMULATION INTERFACE PATTERNS
英文摘要	A two-dimensional model for the simulation of a binary dendritic growth with convection has been developed in order to investigate the effects of convection on dendritic morphologies. The model is based on a cellular automaton (CA) technique for the calculation of the evolution of solid/liquid (s/l) interface. The dynamics of the interface controlled by temperature, solute diffusion and Gibbs-Thomson effects, is coupled with the continuum model for energy, solute and momentum transfer with liquid convection. The solid fraction is calculated by a governing equation, instead of some approximate methods such as lever rule method [A. Jacot, M. Rappaz, Acta Mater. 50 (2002) 1909-1926.] or interface velocity method [L. Nastac, Acta Mater. 47 (1999) 4253; L. Beltran-Sanchez, D.M. Stefanescu, Mat. and Mat. Trans. A 26 (2003) 367.]. For the dendritic growth without convection, mesh independency of simulation results is achieved. The simulated steady-state tip velocity are corhpared with the predicted values of LGK theory [Lipton, M.E. Glicksmanm, W. Kurz, Metall. Trans. 18(A) (1987) 341.] as a function of melt undercooling, which shows good agreement. The growth of dendrite arms in a forced convection has been investigated. It was found that the dendritic growth in the upstream direction was amplified, due to larger solute gradient in the liquid ahead of the s/l interface caused by melt convection. In the isothermal environment, the calculated results under very fine mesh are in good agreement with the Oseen-1vanstov solution for the concentration-driven growth in a forced flow. (c) 2006 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000244918800002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Engineering, Multidisciplinary; Mathematics, Interdisciplinary Applications; Mechanics; SCI(E); 17; ARTICLE; 6; 971-982; 31
语种	英语
出处	SCI
出版者	applied mathematical modelling
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/250463]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Daming,Li, Ruo,Zhang, Pingwen. A cellular automaton technique for modelling of a binary dendritic growth with convection. 2007-01-01.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。