A 2D implicit finite difference model is described for the combined prediction of solute redistribution during the solidification solutioning of the non-equilibrium solidified structure. The dendrite grows with a branched structure and diffusion in both the solid and liquid phases is considered. Solid-liquid interface undercooling and arm coarsening due to coalescence occur naturally as freezing progresses. The influence of differnet cooling rates, in the range 0.1 - 10~5 K/sec, on dendrite arm spacing, fraction of non-equilibrium eutectic and the solutioning rate of the non-equilibrium CuAl_2 phase at a particular temperature, have been predicted for Al-Cu alloys and compared to experimental data. There is good agreement between predicted and experimetnal data for the dendrite arm spacings and time to total solutioning of the CuAl_2phase. However, the predicted and measured fractions of eutectic differe somewhat at the extremes of the cooling rate range.
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机译：描述了一种二维隐式有限差分模型，用于非平衡凝固结构凝固过程中溶质再分布的组合预测。枝晶以分支结构生长，并且考虑了在固相和液相中的扩散。随着冻结的进行，固液界面过冷和由于聚结而引起的臂粗大自然地发生。预测了在0.1-10〜5 K / sec范围内的不同净冷却速率对特定温度下枝晶臂间距，非平衡共晶分数和非平衡CuAl_2相的固溶速率的影响。并与实验数据进行比较。枝晶臂间距的预测和实验数据与CuAl_2相完全溶解的时间之间有很好的一致性。但是，在冷却速率范围的极端情况下，预测和测量的共晶分数有所不同。
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