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Improved lumped solutions for mass transfer analysis in membrane separation process of metals

机译:用于金属膜分离过程中传质分析的改进的集总解决方案

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摘要

A mixed lumped-differential mathematical model is proposed to analyze the metals extraction in membrane separation processes. The Coupled Integral Equations Approach(CIEA)is employed to reformulate and simplify the associated equations of species conservation and obtain improved lumped formulations by reducing the number of space variables with the use of Hermite's approximations for integrals. The approach is illustrated in the extraction of Au(Ⅲ)and Pd(Ⅱ)present in a hydrochloric acid medium employing polymeric liquid membrane with Aliquat 336 as extractant and immobilized in PVC(polyvi-nylchloride), which was also used to analyze the extraction of Zn(Ⅱ)with di-(2-ethylhexyl)phosphoric acid(D2EHPA)as extractant. From the constructed model, the behavior of the metal concentration profiles to be extracted from the feeding phase is discussed in light of the influence of relevant parameters in the extraction process, such as membrane composition and thickness, diffusion coefficient and extraction constant.
机译:提出了一种混合集总-微分数学模型来分析膜分离过程中的金属萃取。耦合积分方程法(CIEA)用于重新构造和简化物种保护相关方程,并通过使用Hermite逼近积分来减少空间变量的数量,从而获得改进的集总公式。以Aliquat 336为萃取剂并固定在聚氯乙烯(PVC)中的聚合物液膜萃取盐酸介质中的Au(Ⅲ)和Pd(Ⅱ)为例进行了说明。二(2-乙基己基)磷酸(D2EHPA)为萃取剂制备锌(Ⅱ)。从构造的模型中,根据提取过程中相关参数的影响,如膜组成和厚度,扩散系数和提取常数,讨论了要从进料阶段提取的金属浓度分布的行为。

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