Germanium transport across supported liquid membrane with Cyanex 923: Mathematical modeling  

Cyanex 923支撑液膜中锗的迁移:数学建模（英文）

作　　者：Hossein KAMRAN HAGHIGHI Mehdi IRANNAJAD Ana MARIA SASTRE 

机构地区：[1]Department of Mining and Metallurgical Engineering,Amirkabir University of Technology,Tehran,Iran [2]Department of Chemical Engineering,Universitat Politècnica de Catalunya,ESTEIB,Av.Diagonal 647,08028 Barcelona,Spain

出　　处：《Transactions of Nonferrous Metals Society of China》2019年第9期1956-1966,共11页中国有色金属学报（英文版）

摘　　要：A mathematical model was developed to monitor the facilitated transport of germanium(IV) from oxalic acid solutions through a flat sheet supported liquid membrane(FSSLM) containing four trialkylphosphine oxides(Cyanex 923). The FSSLM modeling was based on the extraction constant(Kext) calculated from the liquid-liquid extraction(LLX) modeling. The LLX model presented a reliable calculation of the extraction constant(Kex= 2.057×103 L/mol4). The FSSLM model was solved using Matlab■ software according to extraction constant, Fick’s law, and diffusional principles. The model predicts the overall mass transfer coefficient(Korg) to be 3.84 cm/s. Using this value, diffusion coefficients(Dm) for various Cyanex 923 concentrations of 0.126, 0.252, 0.378, 0.505, 0.631 and 0.757 mol/L are found to be 8.50×10^-4, 4.30×10^-4, 1.87×10^-4, 5.87×10^-5, 2.57×10^-5, 2.09×10^-5 cm2/s, respectively. The results show that the diffusion rate of the current study is approximately more than that of similar FSSLM systems containing Cyanex 923 used to transport various metals. The modeling values are in good agreement with the experimental data, showing the good reliability of the mathematical model.建立一个数学模型,用于监测草酸溶液中锗(IV)穿过含有4种三烷基氧化膦(Cyanex 923)的平板支撑液膜(FSSLM)的促进迁移过程。FSSLM建模是基于由液-液萃取(LLX)模型计算得出的萃取常数(Kext)。LLX模型提供一种可靠的萃取常数计算方法(Kex=2.057×103 L/mol4)。根据萃取常数、Fick定律和扩散原理,利用Matlab软件对FSSLM模型进行求解。该模型预测的总传质系数(Korg)为3.84 cm/s。利用该总传质系数,得出Cyanex 923浓度为0.126、0.252、0.378、0.505、0.631和0.757 mol/L时的扩散系数(Dm)分别为8.50×10^-4、4.30×10^-4、1.87×10^-4、5.87×10^-5、2.57×10^-5和2.09×10^-5cm2/s。结果表明,本研究得出的扩散速率大于大多数类似的FSSLM体系的扩散速率。这些FSSLM体系都含有Cyanex 923,用于迁移各种金属。模型值与实验数据吻合良好,表明该数学模型具有良好的可靠性。

关 键 词：supported liquid membrane Cyanex 923 GERMANIUM TRANSPORT mathematical modeling 

分 类 号：TF8[冶金工程—有色金属冶金]