摘要
相场方程用于模拟枝晶生长,已有近20年的历史。现有的相场方程是直接通过Ginzburg-Landau方程导出的,虽然得到了广泛应用,但方程中各个变量物理意义并没有搞清,国内外研究者甚至都作了许多错误的解读。本文以固相率作为相场变量,在金属凝固热动力学基础理论上,给出了纯金属凝固过程中枝晶过冷生长速度模型及其推导过程。
The phase field equation for the simulation of dendritic growth has a history of near twenty years. The existing phase field equation was directly derived by Ginzburg-Landau equations. However, by widely used, the physical meaning of each variable in the equations is not clear. So the domestic and foreign researchers have made a lot of mistakes and interpretation. Taking the solid fraction as a phase field variables in the field, based on the thermodynamics and heat transfer theory, the solidification velocity model for metal dendrite growth in undercooled and its derivation process were given.
出处
《热加工工艺》
CSCD
北大核心
2013年第11期43-44,共2页
Hot Working Technology
基金
国家自然科学基金资助项目(50964009)
云南省科技厅应用基金面上项目(2009ZC030M)
关键词
枝晶生长
凝固过程
枝晶过冷生长速度模型
数学推导
dendritic growth
solidification process
dendrite growth velocity model in undercool
mathematic derivation