Kamran Haghighi Hossein, Irannajad Mehdi, Fortuny Agustin, Sastre Ana Maria
Department of Mining and Metallurgy, Amirkabir University of Technology, Tehran, Iran E-mail:
Department of Chemical Engineering, Universitat Politècnica de Catalunya, EPSEVG, Av. Víctor Balaguer s/n, 08800 Vilanova i la Geltrú, Spain.
Water Sci Technol. 2018 Dec;78(12):2489-2499. doi: 10.2166/wst.2019.002.
In this work, the mathematical modeling of the facilitated transport of germanium (non-dispersive extraction) through a flat sheet membrane with an Aliquat 336 carrier was described. The flat sheet supported liquid membrane (FSSLM) experiments were performed under conditions germanium ≈ 100 mg/L, tartaric acid concentration of 2.76 mmol/L, and carrier concentrations of 2.5-10%v/v. The extraction equilibrium, mass transfer, and diffusion equations based on Fick's law were the principles of modeling. Modeling was carried out by programming in Matlab mathematical software to obtain the extraction (K) and mass transfer constants (K) as the objective parameters. According to the model resolution, K and K were found to be 0.178 and 9.25 × 10 cm/s, respectively. The correlation coefficients between model and experimental data relating to the Aliquat 336 concentrations of 2.5, 5, 7.5, and 10%v/v were found as 0.96, 0.98, 0.99, and 0.92. The parameters of root mean square error, bias, and scatter index showed the model accuracy. In addition, diffusion coefficients relating to Aliquat 336 concentrations of 2.5, 5, 7.5, and 10%v/v were calculated using mass transfer coefficients to be 2.4 × 10, 2.23 × 10, 1.91 × 10, and 1.79 × 10 cm/s, respectively.
在本研究中，描述了用Aliquat 336载体通过平板膜促进锗传输（非分散萃取）的数学模型。平板支撑液膜（FSSLM）实验是在锗浓度约为100mg/L、酒石酸浓度为2.76mmol/L以及载体浓度为2.5 - 10%v/v的条件下进行的。基于菲克定律的萃取平衡、传质和扩散方程是建模的原理。通过在Matlab数学软件中编程进行建模，以获得萃取常数（K）和传质常数（K）作为目标参数。根据模型解析，发现K和K分别为0.178和9.25×10 cm/s。与2.5%v/v、5%v/v、7.5%v/v和10%v/v的Aliquat 336浓度相关的模型与实验数据之间的相关系数分别为0.96、0.98、0.99和0.92。均方根误差、偏差和散射指数参数显示了模型的准确性。此外，利用传质系数计算得到与2.5%v/v、5%v/v、7.5%v/v和10%v/v的Aliquat 336浓度相关的扩散系数分别为2.4×10、2.23×10、1.91×10和1.79×10 cm/s。
