纳滤膜对电解质溶液分离特性的理论研究(II): 混合电解质溶液

假定纳滤膜具有狭缝状孔, 使用纯水透过系数、膜孔径及膜表面电势来表征纳滤膜的分离特征, 用流体力学半径和无限稀释扩散系数表征了离子特性. 采用扩展Nernst-Planck方程、Donnan平衡模型和Poisson-Boltzmann理论描述了混合电解质溶液中离子在膜孔内的传递现象, 计算了三种商用纳滤膜(ESNA1-LF, ESNA1和LES90)对同阴离子、同阳离子和含四种离子的混合电解质体系中离子的截留率, 并与实验数据进行了比较. 计算结果表明, 电解质溶液中离子在纳滤膜孔内传递的主要机理是离子的扩散和电迁移, 纳滤膜对混合电解质溶液中离子的分离效果主要由空间位阻和静电效应决定. 该模型在低浓度时对含一价离子的混合电解质溶液通过纳滤膜的截留率计算结果比较准确, 但对高浓度或含高价离子的混合电解质溶液则偏差较大.     

纳滤膜对电解质溶液分离特性的理论研究(Ⅰ):单一电解质溶液

电解质溶液在纳滤膜中的截留率对于膜法海水淡化和重金属离子的脱除非常重要.本文假定膜具有狭缝状孔,采用扩展Nernst-Planck方程、Donnan平衡模型和Gouy-Chapman理论来描述电解质溶液中离子在膜孔内的传递现象.使用纯水透过系数、膜孔径及膜表面电势来表征纳滤膜的分离特征,这三个参数可通过Levenberg-Marquardt方法由实验数据关联得到.本文使用该模型计算了两种商用纳滤膜(NF45和SU200)对1-1型(NaCl,KCl,LiCl),2-1型(K2SO4)和2-2型(MgSO4)单一电解质溶液的截留率,并与实验数据进行了比较,两者吻合较好.计算结果表明电解质溶液中离子在纳滤膜孔内传递的主要机理是离子的扩散和电迁移,纳滤膜对电解质溶液中离子的分离效果主要由空间位阻和静电效应决定.该模型在低浓度时对电解质溶液通过纳滤膜的截留率计算结果较准确,但对高浓度电解质溶液则偏差较大.     

纳滤膜对电解质溶液分离特性的理论研究(I): 单一电解质溶液

电解质溶液在纳滤膜中的截留率对于膜法海水淡化和重金属离子的脱除非常重要. 本文假定膜具有狭缝状孔, 采用扩展Nernst-Planck方程、Donnan平衡模型和Gouy-Chapman理论来描述电解质溶液中离子在膜孔内的传递现象. 使用纯水透过系数、膜孔径及膜表面电势来表征纳滤膜的分离特征, 这三个参数可通过Levenberg-Marquardt方法由实验数据关联得到. 本文使用该模型计算了两种商用纳滤膜(NF45和SU200)对1-1型(NaCl, KCl, LiCl), 2-1型(K₂SO₄)和2-2型(MgSO₄)单一电解质溶液的截留率, 并与实验数据进行了比较, 两者吻合较好. 计算结果表明电解质溶液中离子在纳滤膜孔内传递的主要机理是离子的扩散和电迁移, 纳滤膜对电解质溶液中离子的分离效果主要由空间位阻和静电效应决定. 该模型在低浓度时对电解质溶液通过纳滤膜的截留率计算结果较准确, 但对高浓度电解质溶液则偏差较大.     

纳滤膜分离机理及其应用研究进展

综述了纳滤膜的分离机理及其应用研究现状和进展,纳滤膜分离过程是一个不可逆过程,其分离机理可以运用电荷模型（空间电荷模型和固定电荷模型）和细孔模型,以及近年才提出的静电排斥和立体阻碍模型等来描述。纳滤膜应用研究现状的介绍包括低聚糖分离和精制、果汁的高浓度浓缩、多肽和氨基酸的分离、抗生素的浓缩与纯化、牛奶及乳清蛋白的浓缩、农产品的综合利用以及纳滤膜生化反应器的开发等。     

低聚壳聚糖制备液纳滤纯化的可行性研究

通过对筛选的3种纳滤膜结构及对低聚壳聚糖、氨基葡萄糖和NaAc溶液的截留性能和纯化过程研究发现,3种纳滤膜的膜面粗糙度大小依次为:DL>DK>NTR-7450,均能对低聚壳聚糖100%截留,但只能部分截留氨基葡萄糖和NaAc,其截留率大小为:DK>DL>NTR-7450。从低聚壳聚糖的纯化工艺要求和抗污染能力方面考虑,NTR-7450纳滤膜更具有工业应用价值。此外,纳滤膜对溶质的分离效果主要由空间位阻和静电效应决定,综合作用结果导致了低聚壳聚糖体系中的各种主要阳离子在纳滤过程中存在竞争透过,截留次序依次为:高分子低聚壳聚糖>氨基葡萄糖>Na+>H+。在Donnan效应和电离平衡的影响下,体系中Ac-在纳滤过程中也被脱出。纳滤纯化低聚壳聚糖制备液在技术上可行。     

纳滤膜新型材料研究

纳滤是一种介于超滤与反渗透之间的重要膜分离过程,具有工作压力低、无相转变及分离效率高等独特优势。膜污染及渗透性/选择性之间的平衡是纳滤膜在使用和研发过程中面临的亟待解决的两个主要问题。膜材料是膜与膜分离技术的核心,开发新型的纳滤膜材料是解决上述问题的重要手段。本文从新型纳滤膜材料的设计与选择的角度出发,总结归纳了近年来新型材料在纳滤膜的制备与应用研究现状,包括新型有机纳滤膜材料、新型无机纳滤膜材料和新型有机-无机杂化纳滤膜材料三个方面,拓展了对纳滤膜材料的认知,探讨了新型纳滤膜材料的共性及其存在的主要问题,并对未来高性能纳滤膜材料的研制方向进行了展望。     

纳滤膜分离技术分离纯化多肽和氨基酸

综述了近十年来纳滤膜技术在氨基酸和多肽分离与纯化方面的研究进展。多肽和氨基酸的纳滤分离过程受溶液物化性质、氨基酸和多肽分子尺寸、所带电荷以及膜孔径、膜带电状态等多种因素的影响,建立该过程的分离机理模型、组合并优化分离条件是当前研究的热点。     

荷电高聚物纳滤膜

本文对荷电聚合物纳纳滤膜的制备、性能及应用进行了全面的介和评述，反映了近年来荷电聚合笺纳滤膜研究的最新进展和动向。     

紫外辐照接枝制备亲水性荷正电纳滤膜

通过在酚酞基聚芳醚酮超滤膜表面紫外辐照接枝亲水性单体二烯丙基二甲基氯化铵(DADMAC)制备了一种表面荷正电的纳滤膜. ATR-FTIR和表面水接触角的研究结果表明膜表面的接枝率和亲水性随着辐照时间和单体在接枝溶液中的浓度的增加而增加. 荷正电纳滤膜对盐溶液有很好的截留, 对盐溶液中的高价阳离子和低价阳离子的截留率分别为95%和65%. 但当溶液中存在高价负离子时, 膜的截留性能会明显下降. 表明静电效应在荷电纳滤膜的分离过程中起了重要的作用.     

盐湖提锂纳滤膜研究进展

锂是我国发展新能源等产业的关键资源,进口依赖度大。盐湖提锂是应对锂短缺问题的重要途径,然而盐湖中高浓度的伴生镁离子给高效提锂带来挑战。纳滤膜可通过孔径筛分和电荷排斥效应的协同,有效分离镁锂离子,在盐湖提锂中扮演着重要的角色。本文从纳滤膜结构(孔径、电荷、厚度)调控出发,介绍了新单体设计、表面改性、共混掺杂、底膜改性等膜结构调控策略,阐述了膜结构与镁锂分离性能的构效关系,总结了不同制膜方法在镁锂分离过程中的优劣,展望了新型镁锂分离纳滤膜的研究方向。     

The electrostatic and steric-hindrance model for the transport of charged solutes through nanofiltration membranes

Nanofiltration (NF) membranes possess the intermediate molecular weight cut-off between reverse osmosis membranes and ultrafiltration membranes, and also have rejection to inorganic salts. So one can assume that NF membranes have charged pore structure. We have developed the electrostatic and steric-hindrance (ES) model from the steric-hindrance pore (SHP) model and the Teorell-Meyer-Sievers (TMS) model (Wang et al., J. Chem. Eng. Japan, 28 (1995) 372) to predict the transport performance of charged solutes through NF membranes based on their charged pore structure. In this article, by doing the permeation experiments of aqueous solutions of neutral solutes and sodium chloride, the structural parameters (the pore radius and the ratio of membrane porosity to membrane thickness) and the charge density of NF membranes (Desal-S, NF-40, NTR7450 and G-20) were estimated on the basis of SHP model and the TMS model, respectively. Then, we selected an aqueous solution of different tracer charged solutes (sodium benzenesulfonate, sodium naphthalenesulfonate and sodium tetraphenyl-borate) and a supporting salt (sodium chloride) to verify the ES model. The prediction based on the ES model was in good agreement with the experimental results.     

Experimental analysis, modeling, and theoretical design of McMaster pore-filled nanofiltration membranes

A side-by-side comparison of the performance of McMaster pore-filled (MacPF) and commercial nanofiltration (NF) membranes is presented here. The single-salt and multi-component performance of these membranes is studied using experimental data and using a mathematical model. The pseudo two-dimensional model is based on the extended Nernst–Planck equation, a modified Poisson–Boltzmann equation, and hydrodynamic calculations. The model includes four structural properties of the membrane: pore radius, pure water permeability, surface charge density and the ratio of effective membrane thickness to water content. The analysis demonstrates that the rejection and transport mechanisms are the same in the commercial and MacPF membranes with different contributions from each type of mechanism (convection, diffusion and electromigration). Solute rejection in NF membranes is determined primarily by a combination of steric and electrostatic effects. The selectivity of MacPF membranes is primarily determined by electrostatic effects with a significantly smaller contribution of steric effects compared to commercial membranes. Hence, these membranes have the ability to reject ions while remaining highly permeable to low molecular weight organics. Additionally, a new theoretical membrane design approach is presented. This design procedure potentially offers the optimization of NF membrane performance by tailoring the membrane structure and operating variables to the specific process, simultaneously. The procedure is validated at the laboratory scale.     

Removal of organic contaminants by RO and NF membranes

Rejection characteristics of organic and inorganic compounds were examined for six reverse osmosis (RO) membranes and two nanofiltration (NF) membranes that are commercially available. A batch stirred-cell was employed to determine the membrane flux and the solute rejection for solutions at various concentrations and different pH conditions. The results show that for ionic solutes the degree of separation is influenced mainly by electrostatic exclusion, while for organic solutes the removal depends mainly upon the solute radius and molecular structure. In order to provide a better understanding of rejection mechanisms for the RO and NF membranes, the ratio of solute radius (r(i,s)) to effective membrane pore radius (r(p)) was employed to compare rejections. An empirical relation for the dependence of the rejection of organic compounds on the ratio r(i,s)/r(p) is presented. The rejection for organic compounds is over 75% when r(i,s)/r(p) is greater than 0.8. In addition, the rejection of organic compounds is examined using the extended Nernst-Planck equation coupled with a steric hindrance model. The transport of organic solutes is controlled mainly by diffusion for the compounds that have a high r(i,s)/r(p) ratio, while convection is dominant for compounds that have a small r(i,s)/r(p) ratio.     

Prediction of physical properties of nanofiltration membranes using experiment and theoretical models

Two commercial nanofiltration (NF) membranes, viz., Desal-HL and NF 700 MWCO were investigated experimentally using neutral and charged solutes, viz., glucose, sodium chloride and magnesium chloride. Effect of pH was studied for sodium chloride rejection and isoelectric point of the membrane was deduced. Experimental results were analyzed using Donnan steric pore and dielectric exclusion models. Dielectric exclusion arises due to the difference in dielectric constant between the bulk and the nano-pore. Born dielectric effect was used as dielectric exclusion phenomena in the present investigation. Stokes–Einstein, Born effective and Pauling radii were used for theoretical simulation, which accurately predicted different charge densities. Empirical correlations were proposed between charge density, concentration and pH for each radius. Charge density decreased drastically when dielectric exclusion term was included in the theoretical model, which showed the real physical characteristics of the membranes employed. Charge density and radius of pore was found to be an important surface parameter in predicting the separation effects in NF membranes.     

Calculation of the salt separation by negatively charged gel-filled membranes

The salt separations of negatively charged gel-filled membranes composed of poly(2-acrylamido-2-methylpropanesulfonic acid) gels anchored within a polypropylene microporous substrate have been determined experimentally and modeled theoretically. The separation of these membranes were calculated by both the Teorell, Meyer and Sievers (TMS) model and the Donnan–Steric Pore (DSP) model coupled with the extended Nernst–Planck equation. For modeling, the membrane effective thickness, effective charge density, and pore radius were either directly measured or calculated from theories without the use of fitting procedures. Good agreement between the experimental measurements and the theoretical calculations of salt separation was observed. For the theoretical calculations, the TMS model is suitable for membranes with moderate gel polymer volume fractions, while the DSP model is more suitable for membranes with high gel polymer volume fractions. Moreover, with a calculated constant effective charge density, the salt separation with different salt concentrations could be accurately predicted. The separation of various other salts could also be predicted with good accuracy.     

基于静电效应的石墨烯纳米孔选择性渗透特性

Two-dimensional graphene nanopores have proved to be a very effective molecular sieve with ultra-high molecular permeance due to the atomic thickness of graphene sheets. The mechanism of graphene nanopores for molecular sieving is generally the size-sieving effect of different molecules. However, high-selective molecular separation is difficult to realize based only on the size-sieving effect. Therefore, graphene nanopore-based membranes usually present high permeance but a moderate selectivity, such that the separation performance cannot far exceed those of traditional separation membranes. In this study, the effects of charges on graphene surfaces on the selective permeation of CO₂/N₂ mixtures through a graphene nanopore is studied using molecular dynamics simulations; its purpose to realize electrostatic effect-based selective molecular permeation through graphene nanopores and find a promising method to improve the selectivity of molecular separation. The simulation results show that graphene nanopores with negative charges have higher CO₂ permeance and lower N₂ permeance and, thus, present a high selectivity for the separation of the CO₂/N₂ mixtures. The graphene nanopore with positive charges, however, does not improve the selectivity. The electrostatic effect-based selectivity of graphene nanopores is related to the different molecular adsorption abilities on the graphene surface with charges. For negative charges, the adsorption ability of CO₂ molecules increases and the number of permeated molecules via surface mechanism increases and the experience time during the permeation process also increases; ultimately the CO₂ permeance increases with increasing the charge density. For the molecules permeated through the surface mechanism, they are firstly adsorbed onto the graphene surface and then diffuse to the pore region for the ultimate permeation; thus, their experience time is longer than that of the molecules permeated through a direct mechanism. Therefore, a longer experience time means a more significant contribution of the surface flux to the total flux. At high surface charge densities, the contribution of surface flux is dominated and thus the experience time is longer. For CO₂ molecules, the permeation rates increase with increasing the surface charge density. Namely, a higher experience time corresponds to a higher permeation rate for CO₂ molecules. A decrease of N₂ permeance with increasing the charge density is correlated to the increasing CO₂ permeance via the inhibition effects of non-permeating components on the permeation of permeating components. For positive charges, the adsorption abilities of CO₂ and N₂ molecules have no obvious variation with the charge density and their permeance is constant; therefore, the graphene nanopore still has no electrostatic effect-based selectivity.     

Modeling the separation performance of nanofiltration membranes for the mixed salts solution

A new model is proposed to evaluate the separation performance of nanofiltration (NF) membranes for the mixed salts solution. In the model, the observed transmission of an ion through a NF membrane is applied to express the separation performance of the membrane for the ion in the mixed salts solution, which has a relationship with the total concentration, the equivalent fraction and the species of each ion in the mixed salts solution. The verification of the model was carried out in the permeation experiments of some mixed salts solutions ((1) Na⁺, Cl⁻ and F⁻; (2) Na⁺, K⁺ and Cl⁻; (3) Na⁺, F⁻, Cl⁻ and NO₃⁻; (4) Na⁺, Cl⁻, NO₃⁻ and SO₄²⁻) through three commercial NF membranes (ESNA 1-LF, ESNA 1 and LES 90). According to the permeation experiments of three NF membranes for some binary salts solutions, the competition coefficients of ions were obtained. The model evaluation results agreed quite well with the experimental data. Finally, the model was applied to evaluate the observed transmission of each ion in the mixed salts solution (Na⁺, F⁻, Cl⁻, NO₃⁻ and SO₄²⁻) through three NF membranes. The agreement between the model evaluation results and the experimental data indicated that the model is suitable for evaluating the separation performance of three NF membranes for the mixed salts solution.     

Modeling and simulation of nanoparticle separation through a solid-state nanopore

Recent experimental studies show that electrokinetic phenomena such as electroosmosis and electrophoresis can be used to separate nanoparticles on the basis of their size and charge using nanopore‐based devices. However, the efficient separation through a nanopore depends on a number of factors such as externally applied voltage, size and charge density of particle, size and charge density of membrane pore, and the concentration of bulk electrolyte. To design an efficient nanopore‐based separation platform, a continuum‐based mathematical model is used for fluid. The model is based on Poisson–Nernst–Planck equations along with Navier–Stokes equations for fluid flow and on the Langevin equation for particle translocation. Our numerical study reveals that membrane pore surface charge density is a vital parameter in the separation through a nanopore. In this study, we have simulated high‐density lipoprotein (HDL) and low‐density lipoprotein (LDL) as the sample nanoparticles to demonstrate the capability of such a platform. Numerical results suggest that efficient separation of HDL from LDL in a 0.2 M KCL solution (resembling blood buffer) through a 150 nm pore is possible if the pore surface charge density is ～ ?4.0 mC/m². Moreover, we observe that pore length and diameter are relatively less important in the nanoparticle separation process considered here.