Stability criterion for the magnetic separation of rare-earth ions.,Physical Review E

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Stability criterion for the magnetic separation of rare-earth ions.
Physical Review E ( IF 2.2 ) Pub Date : 2020-01-01 , DOI: 10.1103/physreve.101.013109
Zhe Lei _{1,

2} , Barbara Fritzsche ₂ , Kerstin Eckert _{1,

2}

Affiliation

The stability criterion for the magnetic separation of rare-earth ions is studied, taking dysprosium Dy(iii) ions as an example. Emphasis is placed on quantifying the factors that limit the desired high enrichment. During magnetic separation, a layer enriched in Dy(iii) ions is generated via the surface evaporation of an aqueous solution which is levitated by the Kelvin force. Later, mass transport triggers instability in the enriched layer. The onset time and position of the instability is studied using an interferometer. The onset time signals that an advective process which significantly accelerates the stratification of enrichment is taking place, although the initial phase is quasi-diffusion-like. The onset position of the flow agrees well with that predicted with a generalized Rayleigh number (Ra^{*}=0) criterion which includes the Kelvin force term acting antiparallel to gravity. Further three-dimensional analysis of the potential energy, combining magnetic and gravitational terms, shows an energy barrier that has to be overcome to initiate instability. The position of the energy barrier coincides well with the onset position of the instability.

中文翻译：

稀土离子磁分离的稳定性判据。

以Dy（iii）离子为例，研究了稀土离子磁分离的稳定性判据。重点放在量化限制所需高浓度的因素上。在磁分离期间，通过开尔文力使悬浮的水溶液的表面蒸发产生了富含Dy（iii）离子的层。后来，大量传输触发了富集层的不稳定。使用干涉仪研究不稳定的开始时间和位置。起始时间表明发生了对流过程，该过程显着加速了富集分层，尽管初始阶段是类准扩散。流动的开始位置与广义瑞利数（Ra ^ {*} = 0）准则所预测的一致，该准则包括与重力平行作用的开尔文力项。对势能的进一步三维分析，结合了磁和重力项，显示了必须克服的能垒才能引发不稳定性。势垒的位置与不稳定性的开始位置重合。

更新日期：2020-01-17

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