An Adaptive Micro/Macro Integrated Solidification Model and Experiments for Melt Flow, Microstructure Formation and Non-Equilibrium Kinetics

提出的工作是建立一个模型来模拟柱状凝固。该模型将结合宏观输运现象和微观发展的数学描述。在适当的动力学约束下，由质量、动量和能量方程组成的输运方程将在宏观和微观两个层面上得到求解。考虑熔体过冷和非平衡动力学的微观细胞模型将被开发来预测细胞的形状、大小和间距。采用网格聚类和网格迁移的数值方法对凝固锋进行跟踪。在瞬态和稳态条件下进行了Bridgman凝固和单液滴凝固实验。微观结构特征的测量结果将与预测结果进行比较。

Abstract - Zhang The proposed work is to develop a model to simulate columnar solidification. The model will incorporate mathematical descriptions of macroscopic transport phenomena and microscopic development. The transport equations composed of the mass, momentum, and energy equations will be solved at both the macroscopic and microscopic levels subject to appropriate kinetic constrains. A microscopic cellular model, which takes into account melt undercooliing and non-equilibrium kinetics will be developed to predict the shape, size, and spacing of cells. A numerical method that employs grid clustering and migration will be used to track the solidification front. Experiments for Bridgman solidification and single droplet solidification will be conducted under both transient and steady-state conditions. Measurements of the micro-structural characteristics will be compared with predicted results.