熔体形核与二维稳态温度起伏数学模型  

Melt Nucleating and Two-Dimensional Temperature Fluctuation Model

作　　者：陈明文[1] 赵文彬[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：《北京科技大学学报》2004年第3期304-306,共3页Journal of University of Science and Technology Beijing

基　　金：国家重大基础研究项目(G2000067206_1)

摘　　要：用数学方法证明了二维稳态温度起伏数学模型的Fourier级数形式解是收敛的,该温度起伏的数学模型的解是惟一的而且是稳定的.这个模型的温度解呈现出指数振荡衰减,验证了熔液对流促使温度产生大的起伏,导致大量晶核形成这一熔体形核机制的正确性.A two-dimension steady temperature fluctuation mathematical model is studied. The solution of the model is proved to be existential, unique and steady. The temperature solution of the mathematical model shows an exponentially descendent and oscillatory pattern with respect to the crystal growth direction. It theoretically confirms that the horizontal melt convection condition accelerates temperature fluctuation and results in a large number of nuclei.

关 键 词：金属凝固 晶体生长 偏微分方程 

分 类 号：TG111.4[金属学及工艺—物理冶金] O781[金属学及工艺—金属学]