摘要
对二元合金快速凝固过程中的局部非平衡扩散模型(LNDM)进行改进。改进的模型考虑了熔体中溶质浓度和溶质通量流场与局部平衡的偏差。采用双曲函数扩散方程求得了熔体中溶质浓度和通量的准确解。结果表明,对任何固?液界面的动力学,当有效扩散系数DbLNDM→0和在v→vDb发生完全溶质截留KLNDM(v)→1时,凝固过程将由扩散控制转变为完全的热控制。非扩散凝固和完全溶质截留的临界参数为在溶体中的扩散速度vDb,考察了不同界面动力学途径的溶质截留模型。
Updated version of local non-equilibrium diffusion model （LNDM） for rapid solidification of binary alloys was considered. The LNDM takes into account deviation from local equilibrium of solute concentration and solute flux fields in bulk liquid. The exact solutions for solute concentration and flux in bulk liquid were obtained using hyperbolic diffusion equations. The results show the transition from diffusion-limited to purely thermally controlled solidification with effective diffusion coefficient →0 and complete solute trapping KLNDM（v）→1 at v→vDb for any kind of solid-liquid interface kinetics. Critical parameter for diffusionless solidification and complete solute trapping is the diffusion speed in bulk liquid vDb. Different models for solute trapping at the interface with different interface kinetic approaches were considered.
关键词
二元合金
溶质截留
快速凝固
局部非平衡扩散
双曲扩散方程
溶质浓度
溶质通量流场
binary alloys
solute trapping
rapid solidification
local-nonequilibrium diffusion
hyperbolic diffusion equation
solute concentration
solute flux fields
