双辊薄带凝固过程的宏观-微观耦合数学模型

以热焓法处理结晶潜热和以假设的流线边界划分网格节点,在对KGT枝晶生长动力学模型进行修正的基础上,引入异质形核模型和柱状晶等轴晶转变(CET)模型,建立了双辊薄带凝固过程的宏观-微观耦合数学模型.同时,以固相分数为媒介,采用宏观微观不同的网格尺寸和时间步长,通过对柱状晶生长前沿的追踪,实现了宏观-微观模型的耦合求解.实验表明:数学模型预测的薄带凝固组织中的柱状枝晶间距和取向度与实测值基本吻合,说明所建数学模型是可靠的,可用此模型研究工艺因素变化对薄带凝固组织的影响.

Macroscopic and Microscopic Coupling Mathematical Model for Solidification Process of Twin-roll Thin Strip

A macroscopic and microscopic coupling mathematical model for solidification process of twin-roll thin strip is developed. In the model, the latent heat is treated by the enthalpy method, and the grid and node are divided by assumed streamline boundary. The heterogeneous nucleation and the columnar-equiaxed transform(CET)model are introduced, together with the revison of the dendrite growth dynamic model of KGT. With the help of solid fraction, the coupling of the macro/micro aspects is realized by using different grid-sizes and time-steps, macro and micro, together with the columnar dendrite front tracing. The columnar dendrite arm spacing and deflection angle calculated by proposed model are in agreement with the experimental ones. Therefore, the model is proved to be reliable, and it can be used to predict the effects of the processing parameters on the solidification structure of twin-roll thin strips.