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,在坚实的热力学、传热学基础理论上,给出了金属凝固过程中科学严谨的相变量扩散模型及其推导过程。
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 equation is not clear. So the domestic and foreign researchers have made a lot of mistakes and interpretation. Using the solid fraction as a phase field variables in the field, based on the thermodynamics and heat transfer theory, a rigorous scientific phase variable diffusion model for the pure metal solidification and its derivation process were given.
出处
《热加工工艺》
CSCD
北大核心
2013年第9期48-50,共3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
相场变量扩散模型
数学推导
dendritic growth
solidification process
phase field variable diffusion model
mathematic derivation
