过冷纯熔体中晶体生长扰动解的可解性条件  

Solvability condition of the perturbed solution for crystal growth in undercooled pure melts

作　　者：李向明[1] 陈明文[1] 王自东[2] 孙仁济[1] 

机构地区：[1]北京科技大学应用科学学院,北京100083 [2]北京科技大学材料科学与工程学院,北京100083

出　　处：《贵州师范大学学报（自然科学版）》2006年第4期59-63,共5页Journal of Guizhou Normal University：Natural Sciences

基　　金：国家重大基础研究项目(No.G2000067206_1)

摘　　要：在晶体液固界面上考虑动力过冷,对凝固系统控制方程的扰动解进行渐近展开,分别求其零级、一级近似解。推出判别液固平界面稳定性的色散关系,该关系式适合于任意的扰动波长。结果表明,过冷纯熔体中非快速凝固晶体生长的液固界面是不稳定的。This paper considers kinetic undercooling of the crystal growth on the liquid-solid interface, and makes the asymptotic expansion for the perturbed solution of the governing equations. The zerothorder and the first-order approximation solutions are given. The dispersion relation, which is the stability criterion of the planar interface for all the wavelength of perturbations, is obtained to modify the M-S dispersion relation. It is concluded that the liquid-solid planar interface is not stable for non-rapid solidification in undercooled melts.

关 键 词：动力过冷 平界面 渐近分析 可解性条件 

分 类 号：O29[理学—应用数学] TG111.4[理学—数学]