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Numerical simulation of directional solidification of binary alloys with high thermal gradients.

机译:高热梯度二元合金定向凝固的数值模拟。

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摘要

Directional Solidification (DS) processing of metals and alloys results in castings with uniformly aligned microstructure with enhanced material properties and orderly grain boundaries running in one direction. Unfortunately, during DS density gradients caused by temperature and/or composition changes can initiate convection in the liquid, which leads to macrosegregation and deteriorates the material-properties. One example of severe macrosegregation is channel segregates (freckles) that can be produced during unidirectional solidification. A main goal of this research is to understand the formation of freckles through numerical studies and comparison with experimental results at high thermal gradients.; A numerical model to analyze directional solidification (DS) processes is utilized. The simulator solves the momentum, energy, and species conservation equations, and maintains the thermodynamic constraints dictated by the equilibrium phase diagram of the alloy. The Boussinesq approximation is applied in the momentum equation to account for density gradients that induce convection in the solidifying stem.; The region in which solid and liquid coexist is commonly called the "mushy zone" to separate it from the all liquid and completely solid regions in solidifying castings and ingots. The Darcy term is included in the momentum equation; the fraction of liquid is treated as an independent variable that allows us to use one set of equations to model the heat and mass transport in all the regions. In the mushy region, we assume local equilibrium. A finite element numerical model based on bilinear isoparametric Lagrangian elements with four nodes, the penalty formulation, and a Petro-Galerkin method is used. This model is capable of simulating formation of channel segregates (freckles), as illustrated by examples representing the conditions of experiments in which freckles are observed.; Simulations in a microgravity environment are also presented. It is shown that convection is suppressed and no channels appear under this condition. Compared to the effect of the gravitational acceleration on convection, simple periodic acceleration perturbations in the frequency range of 0.01 to 10 (Hz), and gravitational acceleration range of {dollar}9.8times10sp{lcub}-3{rcub}{dollar} to 9.8 (m s{dollar}sp{lcub}-2{rcub}),{dollar} show that the perturbations play no significant role in influencing convection.
机译:通过对金属和合金进行定向凝固(DS)处理,铸件的组织均匀一致,并具有增强的材料性能和在一个方向上有序的晶界。不幸的是,在DS中,由温度和/或组成变化引起的密度梯度会引发液体中的对流,这会导致宏观偏析并降低材料性能。严重的宏观偏析的一个例子是在单向凝固过程中可能产生的通道偏析(雀斑)。该研究的主要目的是通过数值研究并与高热梯度下的实验结果进行比较来了解雀斑的形成。利用数值模型分析定向凝固(DS)过程。该模拟器求解动量,能量和物种守恒方程,并维持合金平衡相图所指示的热力学约束。 Boussinesq近似被应用在动量方程中,以说明在凝固杆中引起对流的密度梯度。固态和液态共存的区域通常称为“糊状区”,以将其与凝固铸件和铸锭中的所有液态和完全固态区分开。达西项包含在动量方程中;液体的分数被视为一个独立变量,这使我们可以使用一组方程式来模拟所有区域中的热量和质量传递。在糊状的区域,我们假设局部平衡。使用了基于带有四个节点的双线性等参拉格朗日元素,惩罚公式和Petro-Galerkin方法的有限元数值模型。该模型能够模拟通道隔离物(雀斑)的形成,如代表观察到雀斑的实验条件的示例所示。还介绍了在微重力环境中的仿真。结果表明,对流受到抑制,在这种情况下没有通道出现。与重力加速度对流的影响相比,在0.01到10(Hz)频率范围内的简单周期性加速度摄动,以及{美元} 9.8×10sp {lcub} -3 {rcub} {dollar}到9.8的重力加速度范围(ms {dollar} sp {lcub} -2 {rcub}),{dollar}表明扰动在影响对流中没有重要作用。

著录项

  • 作者

    Huang, Huang-Wen.;

  • 作者单位

    The University of Arizona.;

  • 授予单位 The University of Arizona.;
  • 学科 Engineering Mechanical.; Engineering Metallurgy.; Engineering Materials Science.
  • 学位 Ph.D.
  • 年度 1996
  • 页码 158 p.
  • 总页数 158
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 机械、仪表工业;冶金工业;工程材料学;
  • 关键词

  • 入库时间 2022-08-17 11:49:26

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