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Effect of ionic liquids as entrainers on the dynamic behavior of ethanol-water extractive columns 离子液体作为夹带剂对乙醇-水萃取柱动力学行为的影响
IF 2.35 Pub Date : 2019-11-18 DOI: 10.1186/s42480-019-0023-7
Nelly Ramírez-Corona, Andrés Schramm-Flores, Sofía Reyes-Lombardo, Arturo Jiménez-Gutiérrez

Ionic liquids (ILs) have been recently considered as potential entrainers for extractive distillation. The use of ILs may affect the vapor-liquid properties to aid the separation of azeotropic mixtures. In particular, their effectiveness has been observed for ethanol dehydration, showing promising perspectives for their industrial implementation. However, there is still a lack of information about the effect of ILs on the system controllability. The objective of this work is to explore the dynamic implications of the use of two types of ionic liquids on the ethanol dehydration process. An equimolar feed mixture of ethanol and water was considered, and different IL concentrations were tested. The results show that changing the IL concentration affect the degree of stabilization of the product stream, even when smooth dynamic responses were in many cases observed.

离子液体近年来被认为是萃取精馏中潜在的夹带剂。il的使用可以影响汽液性质,以帮助共沸混合物的分离。特别是,它们的有效性已被观察到乙醇脱水,显示出有希望的前景,其工业实施。然而,目前还缺乏关于ILs对系统可控性影响的信息。这项工作的目的是探讨两种类型的离子液体对乙醇脱水过程的动态影响。考虑了乙醇和水的等摩尔饲料混合物,并测试了不同的IL浓度。结果表明,即使在许多情况下观察到平滑的动态响应,改变IL浓度也会影响产物流的稳定程度。
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引用次数: 5
Engineering microbial chemical factories using metabolic models 利用代谢模型工程微生物化工厂
IF 2.35 Pub Date : 2019-11-01 DOI: 10.1186/s42480-019-0021-9
Debolina Sarkar, Costas D. Maranas

Living organisms in analogy with chemical factories use simple molecules such as sugars to produce a variety of compounds which are necessary for sustaining life and some of which are also commercially valuable. The metabolisms of simple (such as bacteria) and higher organisms (such as plants) alike can be exploited to convert low value inputs into high value outputs. Unlike conventional chemical factories, microbial production chassis are not necessarily tuned for a single product overproduction. Despite the same end goal, metabolic and industrial engineers rely on different techniques for achieving productivity goals. Metabolic engineers cannot affect reaction rates by manipulating pressure and temperature, instead they have at their disposal a range of enzymes and transcriptional and translational processes to optimize accordingly. In this review, we first highlight how various analytical approaches used in metabolic engineering and synthetic biology are related to concepts developed in systems and control engineering. Specifically, how algorithmic concepts derived in operations research can help explain the structure and organization of metabolic networks. Finally, we consider the future directions and challenges faced by the field of metabolic network modeling and the possible contributions of concepts drawn from the classical fields of chemical and control engineering. The aim of the review is to offer a current perspective of metabolic engineering and all that it entails without requiring specialized knowledge of bioinformatics or systems biology.

生物就像化工厂一样,利用糖等简单分子来生产维持生命所必需的各种化合物,其中一些还具有商业价值。可以利用简单生物(如细菌)和高等生物(如植物)的新陈代谢将低价值投入转化为高价值产出。与传统的化学工厂不同,微生物生产底盘不一定针对单一产品的过度生产进行调整。尽管有相同的最终目标,代谢工程师和工业工程师依靠不同的技术来实现生产力目标。代谢工程师不能通过控制压力和温度来影响反应速率,相反,他们有一系列的酶和转录和翻译过程来相应地优化。在这篇综述中,我们首先强调了代谢工程和合成生物学中使用的各种分析方法是如何与系统和控制工程中发展的概念相关联的。具体来说,运筹学中衍生的算法概念如何帮助解释代谢网络的结构和组织。最后,我们考虑了代谢网络建模领域的未来方向和面临的挑战,以及从化学和控制工程经典领域汲取的概念可能做出的贡献。回顾的目的是提供代谢工程的当前视角和所有它需要不需要生物信息学或系统生物学的专业知识。
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引用次数: 5
Synthesis and analysis of separation processes for extracellular chemicals generated from microbial conversions 微生物转化产生的胞外化学物质分离过程的合成与分析
IF 2.35 Pub Date : 2019-10-28 DOI: 10.1186/s42480-019-0022-8
Wenzhao Wu, Kirti M Yenkie, Christos T. Maravelias

Recent advances in metabolic engineering have enabled the production of chemicals via bio-conversion using microbes. However, downstream separation accounts for 60–80% of the total production cost in many cases. Previous work on microbial production of extracellular chemicals has been mainly restricted to microbiology, biochemistry, metabolomics, or techno-economic analysis for specific product examples such as succinic acid, xanthan gum, lycopene, etc. In these studies, microbial production and separation technologies were selected apriori without considering any competing alternatives. However, technology selection in downstream separation and purification processes can have a major impact on the overall costs, product recovery, and purity. To this end, we apply a superstructure optimization based framework that enables the identification of critical technologies and their associated parameters in the synthesis and analysis of separation processes for extracellular chemicals generated from microbial conversions. We divide extracellular chemicals into three categories based on their physical properties, such as water solubility, physical state, relative density, volatility, etc. We analyze three major extracellular product categories (insoluble light, insoluble heavy and soluble) in detail and provide suggestions for additional product categories through extension of our analysis framework. The proposed analysis and results provide significant insights for technology selection and enable streamlined decision making when faced with any microbial product that is released extracellularly. The parameter variability analysis for the product as well as the associated technologies and comparison with novel alternatives is a key feature which forms the basis for designing better bioseparation strategies that have potential for commercial scalability and can compete with traditional chemical production methods.

代谢工程的最新进展使利用微生物进行生物转化生产化学品成为可能。然而,在许多情况下,下游分离占总生产成本的60-80%。以前关于微生物生产细胞外化学物质的工作主要局限于微生物学、生物化学、代谢组学或对特定产品的技术经济分析,如琥珀酸、黄原胶、番茄红素等。在这些研究中,微生物生产和分离技术的选择是先验的,没有考虑任何竞争的替代品。然而,下游分离和净化过程中的技术选择可能对总体成本、产品回收率和纯度产生重大影响。为此,我们应用了一个基于上层结构优化的框架,该框架能够识别关键技术及其相关参数,以合成和分析微生物转化产生的细胞外化学物质的分离过程。我们根据细胞外化学物质的物理性质,如水溶性、物理状态、相对密度、挥发性等,将其分为三类。我们详细分析了三种主要的细胞外产品类别(不溶性轻、不溶性重和可溶性),并通过扩展我们的分析框架对其他产品类别提出了建议。所提出的分析和结果为技术选择提供了重要的见解,并使面对细胞外释放的任何微生物产物时能够简化决策。产品的参数变异性分析以及相关技术和与新替代品的比较是一个关键特征,它构成了设计更好的生物分离策略的基础,这些策略具有商业可扩展性的潜力,可以与传统的化学生产方法竞争。
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引用次数: 9
Membrane condenser as emerging technology for water recovery and gas pre-treatment: current status and perspectives 膜冷凝器作为一种新兴的水回收与气前处理技术:现状与展望
IF 2.35 Pub Date : 2019-09-12 DOI: 10.1186/s42480-019-0020-x
Adele Brunetti, Francesca Macedonio, Giuseppe Barbieri, Enrico Drioli

The recent roadmap of SPIRE initiative includes the development of “new separation, extraction and pre-treatment technologies” as one of the “key actions” for boosting sustainability, enhancing the availability and quality of existing resources. Membrane condenser is an innovative technology that was recently investigated for the recovery of water vapor for waste gaseous streams, such as flue gas, biogas, cooling tower plumes, etc. Recently, it has been also proposed as pre-treatment unit for the reduction and control of contaminants in waste gaseous streams (SOx and NOx, VOCs, H2S, NH3, siloxanes, halides, particulates, organic pollutants).

This perspective article reports recent progresses in the applications of the membrane condenser in the treatment of various gaseous streams for water recovery and contaminant control. After an overview of the operating principle, the membranes used, and the main results achieved, the work also proposes the role of this technology as pre-treatment stage to other separation technologies. The potentialities of the technology are also discussed aspiring to pave the way towards the development of an innovative technology where membrane condenser can cover a key role in redesigning the whole upgrading process.

SPIRE倡议的最新路线图包括开发“新的分离、提取和预处理技术”,作为促进可持续性、提高现有资源的可用性和质量的“关键行动”之一。膜式冷凝器是近年来研究的一项创新技术,用于回收烟气、沼气、冷却塔羽流等废气流的水蒸气。近年来,它也被提出作为减少和控制废气流中污染物(SOx和NOx、VOCs、H2S、NH3、硅氧烷、卤化物、颗粒物、有机污染物)的预处理单元。本文综述了膜式冷凝器在各种气体处理中的应用进展,用于水回收和污染物控制。在概述了该技术的工作原理、使用的膜和取得的主要结果之后,本工作还提出了该技术作为其他分离技术的预处理阶段的作用。本文还讨论了该技术的潜力,以期为开发一种创新技术铺平道路,在这种技术中,膜冷凝器可以在重新设计整个升级过程中发挥关键作用。
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引用次数: 16
Optimization-based investigations of a two-phase thermofluidic oscillator for low-grade heat conversion 基于优化的低品位热转换两相热流体振荡器研究
IF 2.35 Pub Date : 2019-08-22 DOI: 10.1186/s42480-019-0019-3
Yukun Wang, Christos N. Markides, Benoît Chachuat

The non-inertive-feedback thermofluidic engine (NIFTE) is a two-phase thermofluidic oscillator capable of utilizing heat supplied at a steady temperature to induce persistent thermal-fluid oscillations. The NIFTE is appealing in its simplicity and ability to operate across small temperature differences, reported as low as 30 °C in early prototypes. But it is also expected that the NIFTE will exhibit low efficiencies relative to conventional heat recovery technologies that target higher-grade heat conversion. Mathematical modeling can help assess the full potential of the NIFTE technology.

Our analysis is based on a nonlinear model of the NIFTE, which we extend to encompass irreversible thermal losses. Both models predict that a NIFTE may exhibit multiple cyclic steady states (CSS) for certain design configurations, either stable or unstable, a behavior that had never been hypothesized. A parametric analysis of the main design parameters of the NIFTE is then performed for both models. The results confirm that failure to include the irreversible thermal losses in the NIFTE model can grossly overpredict its performance, especially over extended parameter domains. Lastly, we use the NIFTE model with irreversible thermal losses to assess the optimization potential of this technology by conducting a multi-objective optimization. Our results reveal that most of the optimization potential is achievable via targeted modifications of three design parameters only. The Pareto frontier between exergetic efficiency and power output is also found to be highly sensitive to these optimized parameters.

The NIFTE is of practical relevance to a range of applications, including the development of solar-driven pumps to support small-holder irrigation in the developing world. Given its low capital cost, potential improvements greater than 50% in efficiency or power output are significant for the uptake of this technology. Conventional heat recovery technologies are known to have higher efficiencies than those reported in this work, but they also have more complex designs and operations, higher capital costs, and may not even be feasible for the temperature differences considered herein. Future work should focus on confirming this model-based assessment via dedicated experimental campaigns and on investigating design modifications to mitigate irreversible thermal losses.

非惯性反馈热流体发动机(NIFTE)是一种两相热流体振荡器,能够利用在稳定温度下提供的热量来诱导持续的热流体振荡。NIFTE以其简单性和在小温差下操作的能力而吸引人,据报道,早期原型的温度可低至30°C。但与传统热回收技术相比,NIFTE的效率可能会较低,而传统热回收技术的目标是更高等级的热转换。数学建模可以帮助评估NIFTE技术的全部潜力。我们的分析是基于NIFTE的非线性模型,我们将其扩展到包含不可逆热损失。两种模型都预测NIFTE在特定的设计配置下可能表现出多个循环稳态(CSS),要么稳定,要么不稳定,这是一种从未被假设过的行为。然后对两种模型进行了NIFTE主要设计参数的参数化分析。结果证实,在NIFTE模型中不包括不可逆热损失会严重高估其性能,特别是在扩展参数域上。最后,我们使用不可逆热损失的NIFTE模型,通过进行多目标优化来评估该技术的优化潜力。我们的研究结果表明,大部分的优化潜力是可以通过有针对性地修改三个设计参数来实现的。研究发现,优化后的参数对有效效率和输出功率之间的帕累托边界非常敏感。NIFTE对一系列应用具有实际意义,包括开发太阳能驱动的水泵,以支持发展中国家的小农灌溉。鉴于其较低的资本成本,该技术在效率或功率输出方面的潜在改进超过50%,这对采用该技术具有重要意义。众所周知,传统的热回收技术比这项工作中报道的效率更高,但它们也有更复杂的设计和操作,更高的资本成本,甚至可能不适用于本文所考虑的温差。未来的工作应侧重于通过专门的实验活动来确认基于模型的评估,并研究设计修改以减轻不可逆的热损失。
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引用次数: 2
The potential of polymers of intrinsic microporosity (PIMs) and PIM/graphene composites for pervaporation membranes 固有微孔聚合物(PIM)和PIM/石墨烯复合材料在渗透蒸发膜上的潜力
IF 2.35 Pub Date : 2019-08-08 DOI: 10.1186/s42480-019-0018-4
Richard A. Kirk, Maia Putintseva, Alexey Volkov, Peter M. Budd

Pervaporation (PV), a membrane process in which the feed is a liquid mixture and the permeate is removed as a vapour, offers an energy-efficient alternative to conventional separation processes such as distillation, and can be applied to mixtures that are difficult to separate, such as azeotropes. Here the principles of pervaporation and its industrial applications are outlined. Two classes of material that show promise for use in PV membranes are described: Polymers of intrinsic microporosity (PIMs) and 2D materials such as graphene. The literature regarding PV utilizing the prototypical PIM (PIM-1) and it hydrophilic hydrolysed form (cPIM-1) is reviewed. Self-standing PIM-1 membranes give competitive results compared to other membranes reported in the literature for the separation of alcohols and other volatile organic compounds from aqueous solution, and for organic/organic separations such as methanol/ethylene glycol and dimethyl carbonate/methanol mixtures. Blends of cPIM-1 with conventional polymers improve the flux for dehydration of alcohols. The incorporation of fillers, such as functionalised graphene-like fillers, into PIM-1 to form mixed matrix membranes can enhance the separation performance. Thin film composite (TFC) membranes enable very high fluxes to be achieved when a suitable support with high surface porosity is utilised. When functionalised graphene-like fillers are introduced into the selective layer of a TFC membrane, the lateral size of the flakes needs to be carefully controlled. There is a wide range of PIMs and 2D materials yet to be explored for PV applications, which offer potential to create bespoke membranes for a wide variety of organic/aqueous and organic/organic separations.

渗透汽化(PV)是一种膜工艺,其中进料是液体混合物,渗透物作为蒸汽被去除,这是传统分离工艺(如蒸馏)的一种节能替代方法,可应用于难以分离的混合物,如共沸物。本文概述了渗透蒸发的原理及其工业应用。描述了两类有希望用于光伏膜的材料:固有微孔聚合物(PIMs)和石墨烯等二维材料。本文综述了利用原型PIM (PIM-1)及其亲水性水解形式(cPIM-1)进行PV的文献。与文献中报道的其他膜相比,独立的PIM-1膜在从水溶液中分离醇类和其他挥发性有机化合物,以及有机/有机分离(如甲醇/乙二醇和碳酸二甲酯/甲醇混合物)方面具有竞争力。cPIM-1与常规聚合物的共混物提高了醇的脱水通量。在PIM-1中加入填料,如功能化石墨烯类填料,形成混合基质膜,可以提高分离性能。当使用具有高表面孔隙率的合适支撑时,薄膜复合材料(TFC)膜可以实现非常高的通量。当功能化的类石墨烯填料被引入TFC膜的选择层时,薄片的横向尺寸需要仔细控制。PV应用中还有大量的pim和2D材料有待探索,这为各种有机/水分离和有机/有机分离提供了定制膜的潜力。
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引用次数: 18
Standing-wave Design of Three-Zone, open-loop non-isocratic SMB for purification 净化用三区开环非等压SMB驻波设计
IF 2.35 Pub Date : 2019-07-25 DOI: 10.1186/s42480-019-0017-5
David Harvey, Yi Ding, Nien-Hwa Linda Wang

Chromatography with step changes in modulator properties such as pH, solvent strength, or ionic strength to facilitate desorption is widely used in the purification of proteins and other chemicals. Step changes can be incorporated into non-isocratic simulated moving beds; however, applications of such systems have been limited because one must select numerous operating parameters (zone velocities and port velocities). The operating parameters must be selected correctly to achieve high purity, yield, and productivity and depend on a large number of system parameters (feed, material, and equipment parameters). To address this challenge, the Standing-Wave Design method has been developed for three-zone, open-loop, non-isocratic, and non-ideal systems with both linear and non-linear isotherms. This method directly links the operating parameters to the system parameters. The operating parameters can be solved from a set of algebraic equations. In contrast, for non-ideal systems, previous literature design methods require extensive search using rate model simulations, which involve solving partial differential equations at each grid point. Two examples were tested for the effectiveness of the SWD method using rate model simulations. In both examples, sorbent productivity was pressure limited. Higher pressure sorbents or equipment would lead to higher sorbent productivity. In the first example, a 3-zone open-loop simulated moving bed was designed and compared with an optimal batch step-wise elution system. Compared to batch step-wise elution systems, the simulations showed that the 3-zone open-loop SMB could give an order of magnitude higher productivity in systems with weakly competing impurities and two orders of magnitude higher in systems with strongly adsorbing impurities. In the second example, the simulations showed that an SMB designed using the Standing-Wave method could achieve an order of magnitude higher productivity than a system designed using the Triangle Theory.

随着调制剂性质(如pH值、溶剂强度或离子强度)的阶跃变化,色谱法促进解吸,被广泛用于蛋白质和其他化学物质的纯化。阶跃变化可以纳入非等距模拟移动床;然而,这种系统的应用受到限制,因为必须选择许多操作参数(区域速度和端口速度)。必须正确选择操作参数,以实现高纯度,产量和生产率,并依赖于大量的系统参数(饲料,材料和设备参数)。为了应对这一挑战,针对具有线性和非线性等温线的三区、开环、非等温和非理想系统,开发了驻波设计方法。这种方法直接将运行参数与系统参数联系起来。运行参数可由一组代数方程求解。相比之下,对于非理想系统,以前的文献设计方法需要使用速率模型模拟进行广泛的搜索,这涉及在每个网格点上求解偏微分方程。通过速率模型模拟测试了两个实例的SWD方法的有效性。在这两个例子中,吸附剂的产量都受到压力限制。更高压力的吸附剂或设备将导致更高的吸附剂生产率。在第一个算例中,设计了一个3区开环模拟移动床,并与最优分批阶跃洗脱系统进行了比较。模拟结果表明,与间歇式逐步洗脱系统相比,3区开环SMB在具有弱竞争杂质的系统中生产率提高了一个数量级,在具有强吸附杂质的系统中生产率提高了两个数量级。在第二个例子中,模拟表明,使用驻波方法设计的SMB比使用三角理论设计的系统的生产率高一个数量级。
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引用次数: 0
Advances in mechanochemical processes for biomass valorization 生物质增值的机械化学过程研究进展
IF 2.35 Pub Date : 2019-07-11 DOI: 10.1186/s42480-019-0015-7
Camilla Maria Cova, Rafael Luque

Compared to standard time and solvent consuming procedures, mechanically-assisted processes offer numerous environmentally-friendly advantages for nano-catalytically active materials design. Mechanochemistry displays high reproducibility, simplicity, cleanliness and versatility, avoiding, in most cases, the use of any solvent. Moreover, mechanically-assisted procedures are normally faster and cheaper as compared to conventional processes. Due to these outstanding characteristics, mechanochemistry has evolved as an exceptional technique for the synthesis of novel and advanced catalysts designed for a large range of applications. The literature reports numerous works showing that mechanosynthetic procedures offer more promising paths than traditional solvent-based techniques. This review aims to disclose the latest advances in the mechanochemical assisted synthesis of catalytically active materials, focusing on nanocatalysts designed for biomass conversion and on bio-based catalysts.

与标准的时间和溶剂消耗程序相比,机械辅助工艺为纳米催化活性材料的设计提供了许多环保优势。机械化学显示高重复性,简单,清洁和多功能性,在大多数情况下,避免使用任何溶剂。此外,与传统方法相比,机械辅助程序通常更快、更便宜。由于这些突出的特点,机械化学已经发展成为一种特殊的技术,用于合成新型和先进的催化剂,设计用于广泛的应用。文献报道了大量的工作,表明机械合成程序比传统的溶剂型技术提供了更有前途的途径。本文综述了机械化学辅助合成催化活性材料的最新进展,重点介绍了用于生物质转化的纳米催化剂和生物基催化剂。
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引用次数: 16
NiMoAl catalysts derived from heptamolybdate-intercalated layered double hydroxides for hydrodeoxygenation of anisole 由七钼酸盐插层双氢氧化物制备的苯甲醚加氢脱氧镍铝催化剂
IF 2.35 Pub Date : 2019-06-27 DOI: 10.1186/s42480-019-0016-6
Chuang Li, Xingzhao Zhang, Xiao Chen, Zhijian Peng, Chi-Wing Tsang, Changhai Liang

The catalytic performance of NiMoAl catalysts derived from layered double hydroxide (LDH) precursors with molybdenum species incorporated into the interlayers was investigated for the hydrodeoxygenation (HDO) of anisole as a model compound of the lignin. The results showed that high dispersion of small Ni nanoparticles with 2–5?nm due to the pinning effect of Mo from Mo7O246? intercalated the LDHs. Due to presence of the oxygen vacancy sites on the molybdenum oxide, the NiMoAl catalysts exhibit higher conversion of anisole than the corresponding NiAl catalyst. The activity for hydrodeoxygenation was enhanced with the increased content of molybdenum species, which can be attributed to the larger amount of acid sites-promoted removal of oxygen from anisole. In addition, the NiMoAl catalysts show higher resistance to deactivation than the NiAl catalyst, and can be broadly applied to other hydrodeoxygenation reactions.

以层状双氢氧化物(LDH)为前驱体,在层间掺入钼,研究了NiMoAl催化剂对木质素模型化合物苯甲醚的加氢脱氧(HDO)催化性能。结果表明,2-5 ?由于Mo7O246中Mo的钉住作用,插入LDHs。由于氧化钼上存在氧空位,NiMoAl催化剂的苯甲醚转化率高于相应的NiAl催化剂。随着钼含量的增加,氢脱氧活性增强,这可能是由于酸位促进了苯甲醚中氧的脱除。此外,NiMoAl催化剂比NiAl催化剂具有更高的抗失活能力,可广泛应用于其他加氢脱氧反应。
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引用次数: 4
On the application of the Spiegler-Kedem model to forward osmosis Spiegler-Kedem模型在正向渗透中的应用
IF 2.35 Pub Date : 2019-06-19 DOI: 10.1186/s42480-019-0014-8
Jun Jie Wu

In Forward Osmosis the diffusion of the solute is counter to that of the solvent i.e. there is so-called “reverse salt diffusion”. Furthermore, the ratio of the two fluxes is generally taken to be a constant because of the assumption of ideal semi-permeability. However with the Spiegler-Kedem (S-K) model there is an allowance for a minor deviation from ideal semi-permeability and the ratio of the solute flux and solvent flux is no longer constant. The theoretical variation of the solute flux with increasing draw solution concentration is illustrated for various degrees of deviation from ideal semi-permeability. A novel variant of the S-K model is also introduced and predictions compared with those obtained using the standard form. With the acceptance that the form of “breakthrough” involving co-current flow is impossible, a limitation is imposed upon the S-K model but even with this limitation the theoretically predicted variation of solvent flux with increasing draw concentration is for certain sets of parameters of an unexpected form for minor deviation from ideal semi-permeability. That intriguing counter-intuitive outcomes can result from application of the S-K model indicates a need to rethink its formulation of the equations and the expressions for the coefficients. This will have implications for forward osmosis and possibly reverse osmosis modelling.

在正向渗透中,溶质的扩散与溶剂的扩散相反,即所谓的“反向盐扩散”。此外,由于假设有理想的半磁导率,两种磁导率之比通常取为常数。然而,在Spiegler-Kedem (S-K)模型中,允许与理想半渗透性有轻微偏差,溶质通量和溶剂通量的比值不再是恒定的。在与理想半渗透率偏差程度不同的情况下,溶质通量随萃取溶液浓度的增加而发生理论变化。还介绍了S-K模型的一种新变体,并与使用标准形式获得的预测结果进行了比较。由于承认涉及共电流的“突破”形式是不可能的,因此对S-K模型施加了限制,但即使有这种限制,理论上预测的溶剂通量随抽提液浓度增加的变化,对于某些参数集来说,与理想半渗透性的偏差很小,其形式出乎意料。应用S-K模型可能会产生有趣的反直觉结果,这表明需要重新考虑其方程的公式和系数的表达式。这将对正向渗透和可能的反渗透建模产生影响。
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引用次数: 6
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