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Unsteady state pertraction and separation of cations in a liquid membrane system simple network and numerical model of competitive M~(2+)/H~+ counter-transport

机译:液膜系统中阳离子的非稳态吸附和分离简单网络和竞争性M〜(2 +)/ H〜+逆向传输的数值模型

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摘要

The network pseudo-thermodynamic analysis has been applied for describing competitive pertraction of divalent cations with antiported univalent (hydrogen) cations.A mathematical model to be solved numerically has been developed and used to predict the separation effects caused by nonstationary conditions for a liquid membrane transport.Numerical calculations were made in order to compute such pertraction characteristics as:input and output membrane selectivity (ratio of respective fluxes),concentration profiles for cations bound by a carrier in a liquid membrane phase,and the overall separation factors.These quantities are discussed as dependent on time,the kinetic constants of interfacial reversible reactions,and diffusion coefficients of carrier species in a liquid membrane phase.The computations of fluxes and separation factors as dependent on time have revealed high separation efficiency of unsteady state pertraction as compared with steady or near-steady state process (with reactions near equilibrium state).According to the results of this study,the method of bond-graph network can be proposed as sufficient for modeling the processes of industrial interest and various fundamental phenomena underlying the effectiveness of synthetic and natural membranes.
机译:网络伪热力学分析已被用于描述二价阳离子与反价单价氢离子之间的竞争性吸附。已建立了一个数值求解数学模型,并用于预测由非稳态条件引起的液膜运输的分离效果进行了数值计算,以计算如下的扰动特性:输入和输出膜的选择性(各通量之比),在液膜相中被载体结合的阳离子的浓度分布以及总的分离系数。与时间有关的是界面可逆反应的动力学常数,以及在液膜相中载体种类的扩散系数。与时间有关的通量和分离因子的计算表明,与稳态或稳态相比,非稳态吸附的分离效率高。接近稳态过程(带反应)根据本研究的结果,可以提出键合图网络的方法,该方法足以对工业兴趣过程以及合成和天然膜的有效性所基于的各种基本现象进行建模。

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