对流条件下球状晶核生长摄动分析

对流条件下球状晶核生长摄动分析 Asymptotic Analysis of Crystal Nucleus Growth with a Convective Flow 汪轶 WANG Yi1 1 first-author 孙仁济 SUN Renji2 2 王自东 WANG Zidong3 3 皖西学院数学系 皖西学院数学系 Department of Mathematics,West Anhui University,Lu’an Department of Mathematics,West Anhui University,Lu’an 北京科技大学应用科学学院 北京科技大学应用科学学院 School of Applied Science,University of Science and Technology School of Applied Science,University of Science and Technology 北京科技大学材料科学与工程学院 北京科技大学材料科学与工程学院 School of Material Science and Engineering,University of Science Technology School of Material Science and Engineering,University of Science Technology 本文建立了含有小雷诺数对流项的晶核生长的数学物理模型,利用摄动方法对数学模型进行了详细地分析,研究了熔体的小雷诺数对流对球状晶核生长的影响.结果分析表明,在强加来流作用下球状晶界面不再稳定,而是沿远场来流方向进行演化. A mathematical and physical model with a term of the small Reynolds convection is established to describe the growth of a spherical crystal nucleus.By using the asymptotic analysis method,the small Reynolds convection effect,which is growth of a spherical crystal nucleus,is studied.The results obtained in this paper show that the spherical crystal interface is unstable and evolves along the direction of the far field flow. 晶体生长 熔体对流 控制方程 渐近分析 界面稳定性 crystal growth convection control equation asymptotic analysis interface stability 10.14188/j.1671-8836.2010.06.004 O781 国家高技术研究发展计划（863）项目（G2000067206-1）;皖西学院自然科学研究项目（WXZQ0602） 2010-06-01 2021-04-01 6 56