磁场对二元合金凝固过程中糊状层稳定性的影响  

Effect of magnetic field on stability in mushy layer during binary alloy solidification

作　　者：范海龙 陈明文[1] Fan Hai-Long;Chen Ming-Wen(School of Mathematics and Physics,University of Science and Technology Beijing,Beijing 100083,China)

机构地区：[1]北京科技大学数理学院,北京100083

出　　处：《物理学报》2021年第6期191-198,共8页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11401021,51971031)资助的课题.

摘　　要：利用线性稳定性方法研究了外加磁场对二元合金凝固过程中糊状层稳定性的影响,且模型同时考虑了温度场、浓度场和流动的耦合作用.利用计算得出的色散关系式分析了磁场对糊状层稳定性的影响,其中包括直接模式和振荡模式.给出了不同情况下外加磁场对糊状层稳定性的影响,发现磁洛伦兹力可以减小由浮力引起的失稳效应.振荡模式下外加磁场对糊状层产生稳定作用,但直接模式下外加磁场对糊状层的稳定作用具有不确定性.本文所给出结果为工业中利用外加磁场改善产品的质量提供了重要的理论参考.During directional solidification of binary alloy mixtures,instability in the solid/liquid interface appears due to constitutional undercooling.As a result of this instability,a reactive porous medium,namely mushy layer,is formed,and it separates the liquid phase from the solid phase completely.The intrinsic structure of the mushy layer is of fine-scale dendritic crystal that shelters solute in the interstitial fluid.In a gravitational field,the rejection of lighter solute components from an advancing solidification front brings about unstable density gradient.Ensuing convective motions in the mush are driven by a density difference.The convection can change the solid matrix of the mushy layer.Hence,the dynamic response of the mushy layer is driven by interaction among heat transfer,solute transport and convection.As a contactless control tool,external magnetic field can change the heat and solute transport,which has a significant effect on the phase change process.Therefore,when magnetic field,thermal diffusion,solute transport and buoyancy convection are considered simultaneously in the phase transformation process,the mechanism of mushy region will become more complex and interesting.In this paper,the effect of external magnetic field on the stability of mushy layer during binary alloy solidification is studied.The coupling effects of magnetic field,temperature field,concentration field and convection are considered in the model.Including the direct mode and the oscillation mode,the resulting dispersion relation reveals the influence of magnetic field on the stability of mushy layer through linear stability analysis.It is found that the Lorentz force can reduce the instability effect which is caused by buoyancy convection.In the oscillation mode,an external magnetic field brings about a stabilizing effect on the mushy layer,but in the direct mode,the effect of external magnetic field on stability of the mushy layer is uncertain.In conclusion,the finding in this paper provides an important theoretical reference

关 键 词：糊状层 磁流体动力学 稳定性 

分 类 号：TG132[一般工业技术—材料科学与工程]