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首页> 外文期刊>Materials Science and Engineering. A, Structural Materials: Properties, Microstructure and Processing >Modeling the columnar-to-equiaxed transition with a three-phase Eulerian approach
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Modeling the columnar-to-equiaxed transition with a three-phase Eulerian approach

机译：使用三相欧拉方法模拟柱状到等轴的过渡

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摘要

A three-phase Eulerian approach is developed to model the columnar-to-equiaxed transition (CET) during solidification. The three phases are the parent melt, the solidifying columnar dendrites and the solidifying equiaxed grains. They are considered as spatially interpenetrating and interacting continua. We solve the conservation equations of mass, momentum, species and enthalpy for all three phases. Additionally we define and solve an additional transport equation for the number density of equiaxed grains which also accounts for grain nucleation. Diffusion controlled growth for both columnar and equiaxed phases, drag forces, species partitioning at the solid/liquid interface, heat of fusion, etc. are taken into account with the corresponding closure laws. A binary "steel" (Fe-0.34 wt.% C) ingot casting as benchmark was simulated to demonstrate the model potentials. Preliminary results of the mixed columnar and equiaxed solidification including the motion of the columnar tip front, the occurrence of the CET, the formation of macrosegregations, and the resulting melt convection and grain sedimentation and their influence on the final macroscopic phase distribution are presented.
机译：开发了一种三阶段欧拉方法，以模拟凝固过程中柱状到等腰的转变（CET）。三相是母体熔体，凝固的柱状枝晶和凝固的等轴晶。它们被认为是在空间上相互渗透和相互作用的连续体。我们求解所有三个阶段的质量，动量，种类和焓的守恒方程。此外，我们为等轴晶粒的数量密度定义并求解了一个附加的输运方程，该方程也解释了晶粒成核。相应的封闭定律考虑了柱状和等轴相的扩散控制生长，阻力，固/液界面处的物质分配，熔化热等。以二元“钢”（Fe-0.34 wt。％C）铸锭为基准进行了模拟，以证明模型的潜力。给出了混合的柱状和等轴凝固的初步结果，包括柱状尖端前部的运动，CET的发生，宏观偏析的形成以及由此产生的熔体对流和晶粒沉降及其对最终宏观相分布的影响。

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