Fig. 1. Comparison of the CA simulation with the analytical prediction^[15]regarding the time evolution of the location of a migrating liquid pool for a SCN–0.3 wt.% ACE alloy at , and G = 12°C/mm. SCN–0.3 wt.% ACE合金在 ( )和G = 12°C/mm条件下, 迁移熔池位置随时间变化的CA模拟结果与解析模型^[15]预测结果的比较

Fig. 2. Comparison of the CA simulation with the analytical prediction^[15] regarding the time evolution of (a) liquid pool velocity and (b) liquid pool composition for a SCN–0.3 wt.% ACE alloy at , and G = 12°C/mm. SCN–0.3 wt.%ACE合金在 ( )和G = 12 °C/mm条件下, (a)熔池迁移速度和(b)熔池成分随时间变化的CA模拟和解析模型^[15]预测结果的比较

Fig. 3. Comparison of the CA simulation with the analytical prediction^[15] regarding the time evolution of the location of a migrating liquid pool for a SCN–0.3 wt.% ACE alloy at , and G = 12 °C/mm. SCN–0.3 wt.% ACE合金在 ( )和G = 12 °C/mm条件下, 迁移熔池位置随时间变化的CA模拟结果与解析模型^[15]预测结果的比较

Fig. 4. Comparison of the CA simulation with the analytical prediction^[15] regarding the time evolution of (a) liquid pool velocity and (b) liquid pool composition for a SCN–0.3 wt.% ACE alloy at , and G = 12°C/mm. SCN–0.3 wt.%ACE合金在 ( )和G = 12°C/mm条件下, (a)熔池迁移速度和(b)熔池成分随时间变化的CA模拟和解析模型^[15]预测结果的比较

Fig. 5. Comparison of the CA simulations with the analytical predictions ^[15] regarding the times required for a liquid pool to reach (a) the moving liquidus from at V_p < V_{p, cr} and (b) the moving solidus from at V_p > V_{p, cr} as a function of the pulling velocity for a SCN–0.3 wt.% ACE alloy at G = 12 °C/mm. SCN–0.3 wt.% ACE合金在G = 12 °C/mm条件下, (a) V_p < V_{p, cr}时熔池从初始位置( )迁移到移动的液相线所需时间t_l和(b) V_p > V_{p, cr}情况下熔池从初始位置( )迁移到移动的固相线所需时间t_s随抽拉速度变化的CA模拟与解析模型^[15]预测结果的比较

Fig. 6. Simulated sequence of liquid pool migration for a SCN–0.3 wt.% ACE alloy at G = 12 °C/mm, corresponding to = 0.5: (a) 2 s; (b) 20 s; (c) 37 s. The dimensionless initial positions of the five liquid pools are = 0.08, 0.3, 0.5, 0.6 and 0.75, respectively. is the dimensionless droplet position, y is the droplet position. CA模拟的SCN–0.3 wt.% ACE合金在V_p = 和G = 12°C/mm的条件下 (相应的临界位置 = 0.5), 5个不同初始位置的熔池的迁移演化过程 (a) 2 s; (b) 20 s; (c) 37 s. 5个熔池的无量纲初始位置分别为 = 0.08, 0.3, 0.5, 0.6和0.75. 为无量纲液滴位置, y为液滴位置

Fig. 7. CA simulated average migrating velocity as a function of the dimensionless initial liquid pool position for a SCN–0.3 wt.% ACE alloy at G = 12°C/mm and V_p = 2.89 m/s, corresponding to = 0.5. CA模拟的SCN–0.3 wt.% ACE合金在V_p = 2.89 m/s和G = 12°C/mm条件下(相应的临界位置 = 0.5), 平均迁移速度随无量纲初始熔池位置的变化

Fig. 8. CA simulated time evolution of liquid pool velocity for a SCN–0.3 wt.% ACE alloy at different temperature gradients and (a) , = 0.3, V_p < V_{p, cr}; (b) , = 0.7, V_p > V_{p, cr}. CA模拟的SCN–0.3 wt.% ACE合金在不同温度梯度条件下, 熔池迁移速度随时间的变化 (a) , = 0.3, V_p < V_{p, cr}; (b) , = 0.7, V_p > V_{p, cr}

Fig. 9. CA simulated time evolution of liquid pool velocity for SCN-ACE alloys at G = 14°C/mm, different compositions and (a) , = 0.4, V_p < V_{p, cr}; (b) , = 0.7, V_p > V_{p, cr}. CA模拟的不同成分SCN–ACE合金熔池在G = 14°C/mm时迁移速度随时间的变化 (a) , = 0.4, V_p < V_{p, cr}; (b) , = 0.7, V_p > V_{p, cr}