Fe-Pb合金凝固多相体系内偏析形成过程的三维数值模拟
Three-dimensional mo delling and numerical simulation on segregation during Fe-Pb alloy solidification in a multiphase system
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摘要: 基于Eulerian-Eulerian方法和流体体积技术,建立了三维多相流体动力学凝固模型,并将其与质量、动量、溶质和热焓守恒方程相耦合,对Fe-Pb合金侧向凝固过程进行了数值模拟。首先,分析了分布面积二次梯度(?(?SPb))和浓度二次梯度(?(?CPb))对偏析模式的影响,结果表明:液、气两相的流动相变使偏析模式表现为上端X形下端V形, X偏析由气相相变驱动力和多取向相变作用下的“散射”形成; t>tc时,随?(?SPb )和?(?CPb )曲线降低, X偏析的下偏析角增大,上偏析角和V偏析角减小, Pb收得率增大,有利于获得含量稳定弥散的凝固组织。此外,还研究了液、气两相交互流动下通道偏析的形成机理,结果表明:通道偏析仅存在于流动-相变交互作用(ul ·?cl和ug ·?cg)为负值的区域,该区域的流动扰动抑制合金的局部凝固,促进偏析通道生长;流动-相变交互作用负值越小,偏析通道持续增长越稳定。模拟结果与实验结果相符合,验证了模型的准确性。Abstract: The three-dimensional mathematical model for a three-phase flow during its horizontai solidification is studied using fluid dynamics method based on Eulerian-Eulerian and volume of fraction methods, in which the mass, momentum, species, and enthalpy conservation equations of the Fe-Pb alloy solidification process are solved simultaneously. Effects of Pb area quadratic gradient (?(?SPb)) and Pb concentration quadratic gradient (?(?CPb)) on the segregation formation are investigated. Results show that the segregation mode is manifested as X-segregates in the upper and V-segregates in the lower part during flow-solidification of liquid phase and gas phase. The X-segregates result from the phase transformation driving force of gas phase and”scattering”is due to the orientation of phase transition. When t>tc the lower ?(?SPb ) and ?(?CPb ) curves cause a larger yielding rate of Pb with a larger down angle of X-segregates and a smaller up angle of X-segregates and V-segregates. All these are favorable for the formation of a well-dispersed microstructure. In addition, the gas-liquid two-phase flow interaction term has an effect on channel segregation, showing that channels occur only in the region where the flow-phase transition interaction term (ul ·?cl and ug ·?cg) is negative. With a negative flow-phase transition interaction term the increase in flow velocity due to the flow perturbation and flow-phase transition interaction becomes more negative, thus the channel continues to grow and tends to be stable. Calculated results show good agreement with experimental data.
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