ABSTRACT The deflection of columnar grains grown under melt flow is characteristic of the alloy solidification structure and strongly influences the performance of products. Here, a model of grain growth in melt flow was established with the cellular automaton (CA) method. After validation by comparison to an analytical model, the model was used to investigate the deflection of columnar grains in high-carbon steel. The deflection angle of columnar grains increases with the flow velocity and decreases with the melt undercooling. At the flow velocity of 0.10 m s–1 and the melt undercooling of 2°C, a maximum deflection angle of 18.2° is achieved. The deflection angles predicted by the model agree well with the empirical values. The melt flow was found to promote the grains with a preferred growth orientation towards the upstream direction over others. This flow-influenced selection mechanism is a key reason for the deflection of columnar grains.

中文翻译：

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高碳钢柱状晶粒在熔体流动下偏转的元胞自动机建模

摘要 在熔体流动下生长的柱状晶粒的偏转是合金凝固组织的特征，对产品的性能有很大影响。在这里，使用元胞自动机（CA）方法建立了熔体流动中晶粒生长的模型。通过与分析模型的比较验证后，该模型用于研究高碳钢中柱状晶粒的变形。柱状晶粒的偏转角随着流速的增加而增加，随着熔体过冷度的增加而减小。在 0.10 m s-1 的流速和 2°C 的熔体过冷度下，实现了 18.2° 的最大偏转角。模型预测的偏转角与经验值吻合良好。发现熔体流动促进了具有朝向上游方向的优选生长取向的晶粒。