Engineering:Membrane technology

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Short description: Transport of substances between two fractions with the help of permeable membranes

Membrane technology encompasses the scientific processes used in the construction and application of membranes. Membranes are used to facilitate the transport or rejection of substances between mediums, and the mechanical separation of gas and liquid streams. In the simplest case, filtration is achieved when the pores of the membrane are smaller than the diameter of the undesired substance, such as a harmful microorganism. Membrane technology is commonly used in industries such as water treatment, chemical and metal processing, pharmaceuticals, biotechnology, the food industry, as well as the removal of environmental pollutants.

After membrane construction, there is a need to characterize the prepared membrane to know more about its parameters, like pore size, function group, material properties, etc., which are difficult to determine in advance. In this process, instruments such as the Scanning Electron Microscope, the Transmission electron Microscope, the Fourier Transform Infrared Spectroscopy, X-ray Diffraction, and Liquid–Liquid Displacement Porosimetry are utilized.

Introduction

Membrane technology covers all engineering approaches for the transport of substances between two fractions with the help of semi-permeable membranes. In general, mechanical separation processes for separating gaseous or liquid streams use membrane technology. In recent years, different methods have been used to remove environmental pollutants, like adsorption, oxidation, and membrane separation. Different pollution occurs in the environment like air pollution, waste water pollution etc.[1] As per industry requirement to prevent industrial pollution because more than 70% of environmental pollution occurs due to industries. It is their responsibility to follow government rules of the Air Pollution Control & Prevention Act 1981 to maintain and prevent the harmful chemical release into the environment.[2] Make sure to do prevention & safety processes after that industries are able to release their waste in the environment.[3]

Biomass-based Membrane technology is one of the most promising technologies for use as a pollutants removal weapon because it has low cost, more efficiency, & lack of secondary pollutants.[1]

Typically polysulfone, polyvinylidene fluoride, and polypropylene are used in the membrane preparation process. These membrane materials are non-renewable and non-biodegradable which create harmful environmental pollution.[4] Researchers are trying to find a solution to synthesize an eco-friendly membrane which avoids environmental pollution. Synthesis of biodegradable material with the help of naturally available material such as biomass-based membrane synthesis can be used to remove pollutants.[5]

Membrane Overview

Ultrafiltration for a swimming pool
Venous-arterial extracorporeal membrane oxygenation scheme

Membrane separation processes operate without heating and therefore use less energy than conventional thermal separation processes such as distillation, sublimation or crystallization. The separation process is purely physical and both fractions (permeate and retentate) can be obtained as useful products. Cold separation using membrane technology is widely used in the food technology, biotechnology and pharmaceutical industries. Furthermore, using membranes enables separations to take place that would be impossible using thermal separation methods. For example, it is impossible to separate the constituents of azeotropic liquids or solutes which form isomorphic crystals by distillation or recrystallization but such separations can be achieved using membrane technology. Depending on the type of membrane, the selective separation of certain individual substances or substance mixtures is possible. Important technical applications include the production of drinking water by reverse osmosis. In waste water treatment, membrane technology is becoming increasingly important. Ultra/microfiltration can be very effective in removing colloids and macromolecules from wastewater. This is needed if wastewater is discharged into sensitive waters especially those designated for contact water sports and recreation.

About half of the market is in medical applications such as artificial kidneys to remove toxic substances by hemodialysis and as artificial lung for bubble-free supply of oxygen in the blood.

The importance of membrane technology is growing in the field of environmental protection (Nano-Mem-Pro IPPC Database). Even in modern energy recovery techniques, membranes are increasingly used, for example in fuel cells and in osmotic power plants.

Mass transfer

Two basic models can be distinguished for mass transfer through the membrane:

  • the solution-diffusion model and
  • the hydrodynamic model.

In real membranes, these two transport mechanisms certainly occur side by side, especially during ultra-filtration.

Solution-diffusion model

In the solution-diffusion model, transport occurs only by diffusion. The component that needs to be transported must first be dissolved in the membrane. The general approach of the solution-diffusion model is to assume that the chemical potential of the feed and permeate fluids are in equilibrium with the adjacent membrane surfaces such that appropriate expressions for the chemical potential in the fluid and membrane phases can be equated at the solution-membrane interface. This principle is more important for dense membranes without natural pores such as those used for reverse osmosis and in fuel cells. During the filtration process a boundary layer forms on the membrane. This concentration gradient is created by molecules which cannot pass through the membrane. The effect is referred to as concentration polarization and, occurring during the filtration, leads to a reduced trans-membrane flow (flux). Concentration polarization is, in principle, reversible by cleaning the membrane which results in the initial flux being almost totally restored. Using a tangential flow to the membrane (cross-flow filtration) can also minimize concentration polarization.

Hydrodynamic model

Transport through pores – in the simplest case – is done convectively. This requires the size of the pores to be smaller than the diameter of the two separate components. Membranes that function according to this principle are used mainly in micro- and ultrafiltration. They are used to separate macromolecules from solutions, colloids from a dispersion or remove bacteria. During this process, the retained particles or molecules form a pulpy mass (filter cake) on the membrane, and this blockage of the membrane hampers the filtration. This blockage can be reduced by the use of the cross-flow method (cross-flow filtration). Here, the liquid to be filtered flows along the front of the membrane and is separated by the pressure difference between the front and back of the membrane into retentate (the flowing concentrate) on the front and permeate (filtrate) on the back. The tangential flow on the front creates a shear stress that cracks the filter cake and reduces the fouling.

Membrane operations

According to the driving force of the operation, it is possible to distinguish:

Membrane shapes and flow geometries

Cross-flow geometry
Dead-end geometry

There are two main flow configurations of membrane processes: cross-flow (or tangential flow) and dead-end filtrations. In cross-flow filtration the feed flow is tangential to the surface of the membrane, retentate is removed from the same side further downstream, whereas the permeate flow is tracked on the other side. In dead-end filtration, the direction of the fluid flow is normal to the membrane surface. Both flow geometries offer some advantages and disadvantages. Generally, dead-end filtration is used for feasibility studies on a laboratory scale. The dead-end membranes are relatively easy to fabricate which reduces the cost of the separation process. The dead-end membrane separation process is easy to implement and the process is usually cheaper than cross-flow membrane filtration. The dead-end filtration process is usually a batch-type process, where the filtering solution is loaded (or slowly fed) into the membrane device, which then allows passage of some particles subject to the driving force. The main disadvantage of dead-end filtration is the extensive membrane fouling and concentration polarization. The fouling is usually induced faster at higher driving forces. Membrane fouling and particle retention in a feed solution also builds up a concentration gradients and particle backflow (concentration polarization). The tangential flow devices are more cost and labor-intensive, but they are less susceptible to fouling due to the sweeping effects and high shear rates of the passing flow. The most commonly used synthetic membrane devices (modules) are flat sheets/plates, spiral wounds, and hollow fibers.

Flat plates are usually constructed as circular thin flat membrane surfaces to be used in dead-end geometry modules. Spiral wounds are constructed from similar flat membranes but in the form of a "pocket" containing two membrane sheets separated by a highly porous support plate.[6] Several such pockets are then wound around a tube to create a tangential flow geometry and to reduce membrane fouling. Hollow fiber modules consist of an assembly of self-supporting fibers with dense skin separation layers, and a more open matrix helping to withstand pressure gradients and maintain structural integrity.[6] The hollow fiber modules can contain up to 10,000 fibers ranging from 200 to 2500 μm in diameter; The main advantage of hollow fiber modules is the very large surface area within an enclosed volume, increasing the efficiency of the separation process.

Spiral wound membrane module

  • Hollow fiber membrane module

  • Separation of air into oxygen and nitrogen through a membrane

The Disc tube module uses a cross-flow geometry and consists of a pressure tube and hydraulic discs, which are held by a central tension rod, and membrane cushions that lie between two discs.[7]

Membrane performance and governing equations

The selection of synthetic membranes for a targeted separation process is usually based on few requirements. Membranes have to provide enough mass transfer area to process large amounts of feed stream. The selected membrane has to have high selectivity (rejection) properties for certain particles; it has to resist fouling and to have high mechanical stability. It also needs to be reproducible and to have low manufacturing costs. The main modeling equation for the dead-end filtration at constant pressure drop is represented by Darcy's law:[6]

[math]\displaystyle{ \frac{dV_p}{dt}=Q=\frac{\Delta p}{\mu}\ A\left( \frac{1}{R_m + R} \right) }[/math]

where Vp and Q are the volume of the permeate and its volumetric flow rate respectively (proportional to same characteristics of the feed flow), μ is dynamic viscosity of permeating fluid, A is membrane area, Rm and R are the respective resistances of membrane and growing deposit of the foulants. Rm can be interpreted as a membrane resistance to the solvent (water) permeation. This resistance is a membrane intrinsic property and is expected to be fairly constant and independent of the driving force, Δp. R is related to the type of membrane foulant, its concentration in the filtering solution, and the nature of foulant-membrane interactions. Darcy's law allows for calculation of the membrane area for a targeted separation at given conditions. The solute sieving coefficient is defined by the equation:[6]

[math]\displaystyle{ S=\frac{C_p} {C_f} }[/math]

where Cf and Cp are the solute concentrations in feed and permeate respectively. Hydraulic permeability is defined as the inverse of resistance and is represented by the equation:[6]

[math]\displaystyle{ L_p=\frac{J} {\Delta p} }[/math]

where J is the permeate flux which is the volumetric flow rate per unit of membrane area. The solute sieving coefficient and hydraulic permeability allow the quick assessment of the synthetic membrane performance.

Membrane separation processes

Membrane separation processes have a very important role in the separation industry. Nevertheless, they were not considered technically important until the mid-1970s. Membrane separation processes differ based on separation mechanisms and size of the separated particles. The widely used membrane processes include microfiltration, ultrafiltration, nanofiltration, reverse osmosis, electrolysis, dialysis, electrodialysis, gas separation, vapor permeation, pervaporation, membrane distillation, and membrane contactors.[8] All processes except for pervaporation involve no phase change. All processes except electrodialysis are pressure driven. Microfiltration and ultrafiltration is widely used in food and beverage processing (beer microfiltration, apple juice ultrafiltration), biotechnological applications and pharmaceutical industry (antibiotic production, protein purification), water purification and wastewater treatment, the microelectronics industry, and others. Nanofiltration and reverse osmosis membranes are mainly used for water purification purposes. Dense membranes are utilized for gas separations (removal of CO2 from natural gas, separating N2 from air, organic vapor removal from air or a nitrogen stream) and sometimes in membrane distillation. The later process helps in the separation of azeotropic compositions reducing the costs of distillation processes.

Ranges of membrane based separations

Pore size and selectivity

The pore distribution of a fictitious ultrafiltration membrane with the nominal pore size and the D90

The pore sizes of technical membranes are specified differently depending on the manufacturer. One common distinction is by nominal pore size. It describes the maximum pore size distribution[9] and gives only vague information about the retention capacity of a membrane. The exclusion limit or "cut-off" of the membrane is usually specified in the form of NMWC (nominal molecular weight cut-off, or MWCO, molecular weight cut off, with units in Dalton). It is defined as the minimum molecular weight of a globular molecule that is retained to 90% by the membrane. The cut-off, depending on the method, can by converted to so-called D90, which is then expressed in a metric unit. In practice the MWCO of the membrane should be at least 20% lower than the molecular weight of the molecule that is to be separated.

Using track etched mica membranes[10] Beck and Schultz[11] demonstrated that hindered diffusion of molecules in pores can be described by the Rankin[12] equation.

Filter membranes are divided into four classes according to pore size:

Pore size Molecular mass Process Filtration Removal of
> 10  "Classic" filter
> 0.1 μm > 5000 kDa microfiltration < 2 bar larger bacteria, yeast, particles
100-2 nm 5-5000 kDa ultrafiltration 1-10 bar bacteria, macromolecules, proteins, larger viruses
2-1 nm 0.1-5 kDa nanofiltration 3-20 bar viruses, 2- valent ions[13]
< 1 nm < 100 Da reverse osmosis 10-80 bar salts, small organic molecules

The form and shape of the membrane pores are highly dependent on the manufacturing process and are often difficult to specify. Therefore, for characterization, test filtrations are carried out and the pore diameter refers to the diameter of the smallest particles which could not pass through the membrane.

The rejection can be determined in various ways and provides an indirect measurement of the pore size. One possibility is the filtration of macromolecules (often dextran, polyethylene glycol or albumin), another is measurement of the cut-off by gel permeation chromatography. These methods are used mainly to measure membranes for ultrafiltration applications. Another testing method is the filtration of particles with defined size and their measurement with a particle sizer or by laser induced breakdown spectroscopy (LIBS). A vivid characterization is to measure the rejection of dextran blue or other colored molecules. The retention of bacteriophage and bacteria, the so-called "bacteria challenge test", can also provide information about the pore size.

Nominal pore size micro-organism ATCC root number
0.1 μm Acholeplasma laidlawii 23206
0.3 μm Bacillus subtilis spores 82
0.5 μm Pseudomonas diminuta 19146
0.45 μm Serratia marcescens 14756
0.65 μm Lactobacillus brevis

To determine the pore diameter, physical methods such as porosimeter (mercury, liquid-liquid porosimeter and Bubble Point Test) are also used, but a certain form of the pores (such as cylindrical or concatenated spherical holes) is assumed. Such methods are used for membranes whose pore geometry does not match the ideal, and we get "nominal" pore diameter, which characterizes the membrane, but does not necessarily reflect its actual filtration behavior and selectivity.

The selectivity is highly dependent on the separation process, the composition of the membrane and its electrochemical properties in addition to the pore size. With high selectivity, isotopes can be enriched (uranium enrichment) in nuclear engineering or industrial gases like nitrogen can be recovered (gas separation). Ideally, even racemics can be enriched with a suitable membrane.

When choosing membranes selectivity has priority over a high permeability, as low flows can easily be offset by increasing the filter surface with a modular structure. In gas phase filtration different deposition mechanisms are operative, so that particles having sizes below the pore size of the membrane can be retained as well.

Membrane Classification

Bio-Membrane is classified in two categories, synthetic membrane and natural membrane. synthetic membranes further classified in organic and inorganic membranes. Organic membrane sub classified polymeric membranes and inorganic membrane sub classified ceramic polymers.[14]

Synthesis of Biomass Membrane

The composite biomass membrane

Green membrane or Bio-membrane synthesis is the solution to protected environments which have largely comprehensive performance. Biomass is used in the form of activated carbon nanoparticles, like using cellulose based biomass coconut shell, hazelnut shell, walnut shell, agricultural wastes of corn stalks etc.[4] which improve  surface hydrophilicity, larger pore size, more and lower surface roughness therefore, the separation and anti-fouling performance of membranes are also improved simultaneously.[15]

Fabrication of pure biomass based membrane

A biomass-based membrane is a membrane made from organic materials such as plant fibers.[4] These membranes are often used in water filtration and wastewater treatment applications. The fabrication of a pure biomass-based membrane is a complex process that involves a number of steps. The first step is to create a slurry of the organic materials. This slurry is then cast onto a substrate, such as a glass or metal plate.[16] The cast is then dried, and the resulting membrane is then subjected to a number of treatments, such as chemical or heat treatments, to improve its properties. One of the challenges in the fabrication of biomass-based membranes is to create a membrane with the desired properties.[17]

Equipment and instruments used in the process

List of instruments used in membrane synthesis procedures:

Membrane Characterization

After casting and synthesis of membrane there is need to characterize the prepared membrane to know more details about membrane parameters, like pore size, functional groups, wettability, surface charge, etc. It is important to know membrane properties so we are able to remove and treat a particulate pollutant, which causes pollution in the environment.[18] For characterization following different instruments are used:

Biomass Membrane Applications

Water treatment

Water treatment is any process that improves the quality of water to make it more acceptable for a specific end-use. Membranes can be used to remove particulates from water by either size exclusion or charge separation.[19] In size exclusion, the pores in the membrane are sized such that only particles smaller than the pores can pass through. The pores in the membrane are sized such that only water molecules can pass through, leaving dissolved contaminants behind.[20]

Gas separation

Utilization of membranes in gas separation, like carbon dioxide (CO
2), Nitrogen oxides (NOx),  Sulphur oxides (SOx), harmful gasses can be removed to protect the environment.[21] Biomass Membrane gas separation more effective then commercial membrane.[22]

Hemodialysis

Membrane application in hemodialysis is a process of using a semipermeable membrane to remove waste products and excess fluids from the blood.[23]

See also

Notes

  1. ↑ 1.0 1.1 Sonawane, Shriram; Thakur, Parag; Sonawane, Shirish H.; Bhanvase, Bharat A. (2021), "Nanomaterials for membrane synthesis: Introduction, mechanism, and challenges for wastewater treatment", Handbook of Nanomaterials for Wastewater Treatment (Elsevier): pp. 537–553, doi:10.1016/b978-0-12-821496-1.00009-x, ISBN 9780128214961, http://dx.doi.org/10.1016/b978-0-12-821496-1.00009-x, retrieved 2022-11-01 
  2. ↑ Environment., United States. Congress. House. Committee on Energy and Commerce. Subcommittee on Health and the (1982). Clean Air Act : hearings before the Subcommittee on Health and the Environment of the Committee on Energy and Commerce, House of Representatives, Ninety-seventh Congress, first session .... U.S. G.P.O. OCLC 8547707. http://worldcat.org/oclc/8547707. 
  3. ↑ Bates, Dennis (July 1981). "Panel Discussion: Impact of the Resource and Recovery Act on Power Generation and Incineration". Journal of the Air Pollution Control Association 31 (7): 747–751. doi:10.1080/00022470.1981.10465270. ISSN 0002-2470. http://dx.doi.org/10.1080/00022470.1981.10465270. 
  4. ↑ 4.0 4.1 4.2 Xing, Wendong; Wu, Yilin; Lu, Jian; Lin, Xinyu; Yu, Chao; Dong, Zeqing; Yan, Yongsheng; Li, Chunxiang (January 2020). "Biomass-Based Synthesis of Green and Biodegradable Molecularly Imprinted Membranes for Selective Recognition and Separation of Tetracycline". Nano 15 (1): 2050004. doi:10.1142/s1793292020500046. ISSN 1793-2920. http://dx.doi.org/10.1142/s1793292020500046. 
  5. ↑ Mukherjee, Debarati; Bhattacharya, Priyankari; Jana, Animesh; Bhattacharya, Sandipan; Sarkar, Subhendu; Ghosh, Sourja; Majumdar, Swachchha; Swarnakar, Snehasikta (May 2018). "Synthesis of ceramic ultrafiltration membrane and application in membrane bioreactor process for pesticide remediation from wastewater". Process Safety and Environmental Protection 116: 22–33. doi:10.1016/j.psep.2018.01.010. ISSN 0957-5820. http://dx.doi.org/10.1016/j.psep.2018.01.010. 
  6. ↑ 6.0 6.1 6.2 6.3 6.4 Osada, Y., Nakagawa, T., Membrane Science and Technology, New York: Marcel Dekker, Inc,1992.
  7. ↑ "RCDT Module - Radial Channel Disc Tube (RCDT) Module" (in en-US). http://rcdt-module.com/rcdt-module/. 
  8. ↑ Pinnau, I., Freeman, B.D., Membrane Formation and Modification, ACS, 1999.
  9. ↑ "2 Principles of Membrane Processes". TU Berlin script. p. 6. http://www.verfahrenstechnik.tu-berlin.de/fileadmin/fg158/Dokumente/Skripte_Loesungen/MembranVL/K02_Grundlagen.pdf. 
  10. ↑ Fleischer, R. L.; Price, P. B.; Walker, R. M. (May 1963). "Method of Forming Fine Holes of Near Atomic Dimensions" (in en). Review of Scientific Instruments 34 (5): 510–512. doi:10.1063/1.1718419. ISSN 0034-6748. Bibcode: 1963RScI...34..510F. 
  11. ↑ Beck, R. E.; Schultz, J. S. (1970-12-18). "Hindered Diffusion in Microporous Membranes with Known Pore Geometry" (in en). Science 170 (3964): 1302–1305. doi:10.1126/science.170.3964.1302. ISSN 0036-8075. PMID 17829429. Bibcode: 1970Sci...170.1302B. 
  12. ↑ Renkin, Eugene M. (1954-11-20). "Filtration, diffusion, and molecular sieving through porous cellulose membranes". The Journal of General Physiology 38 (2): 225–243. ISSN 0022-1295. PMID 13211998. 
  13. ↑ Experience and potential application of nanofiltration - University of Linz (German) (PDF )
  14. ↑ Parani, Sundararajan; Oluwafemi, Oluwatobi Samuel (2021-11-26). "Membrane Distillation: Recent Configurations, Membrane Surface Engineering, and Applications". Membranes 11 (12): 934. doi:10.3390/membranes11120934. ISSN 2077-0375. PMID 34940435. 
  15. ↑ Zheng, Zhiyu; Chen, Jingwen; Wu, Jiamin; Feng, Min; Xu, Lei; Yan, Nina; Xie, Hongde (2021-09-04). "Incorporation of Biomass-Based Carbon Nanoparticles into Polysulfone Ultrafiltration Membranes for Enhanced Separation and Anti-Fouling Performance" (in en). Nanomaterials 11 (9): 2303. doi:10.3390/nano11092303. ISSN 2079-4991. PMID 34578619. 
  16. ↑ Li, Youjing; Li, Fen; Yang, Ying; Ge, Baocai; Meng, Fanzhu (2021-03-09). "Research and application progress of lignin-based composite membrane". Journal of Polymer Engineering 41 (4): 245–258. doi:10.1515/polyeng-2020-0268. ISSN 2191-0340. 
  17. ↑ Yaqoob, Asim Ali; Serrà, Albert; Bhawani, Showkat Ahmad; Ibrahim, Mohamad Nasir Mohamad; Khan, Anish; Alorfi, Hajer S.; Asiri, Abdullah M.; Hussein, Mahmoud Ali et al. (2022-02-21). "Utilizing Biomass-Based Graphene Oxide–Polyaniline–Ag Electrodes in Microbial Fuel Cells to Boost Energy Generation and Heavy Metal Removal". Polymers 14 (4): 845. doi:10.3390/polym14040845. ISSN 2073-4360. PMID 35215758. 
  18. ↑ editor., Hilal, Nidal, editor. Ismail, Ahmad Fauzi, editor. Matsuura, Takeshi, 1936- editor. Oatley-Radcliffe, Darren (18 February 2017). Membrane characterization. ISBN 978-0-444-63791-8. OCLC 1296133285. http://worldcat.org/oclc/1296133285. 
  19. ↑ Visakh, P.M.; Nazarenko, Olga (2016-08-29) (in en). Nanostructured Polymer Membranes: Applications. Hoboken, NJ, USA: John Wiley & Sons, Inc.. doi:10.1002/9781118831823. ISBN 978-1-118-83182-3. http://doi.wiley.com/10.1002/9781118831823. 
  20. ↑ V., Ranade, Vivek (2014). Industrial wastewater treatment, recycling and reuse. Butterworth-Heinemann. ISBN 978-0-444-63403-0. OCLC 884647664. http://worldcat.org/oclc/884647664. 
  21. ↑ L., Kohl, Arthur (1997). Gas purification.. Gulf Pub. ISBN 978-0-08-050720-0. OCLC 154316990. http://worldcat.org/oclc/154316990. 
  22. ↑ "Acid gas removal". Membrane Technology 1997 (89): 14. September 1997. doi:10.1016/s0958-2118(00)89231-9. ISSN 0958-2118. http://dx.doi.org/10.1016/s0958-2118(00)89231-9. 
  23. ↑ "Virus removal from blood products". Membrane Technology 1991 (11): 13. March 1991. doi:10.1016/0958-2118(91)90133-f. ISSN 0958-2118. http://dx.doi.org/10.1016/0958-2118(91)90133-f. 

References

  • Osada, Y., Nakagawa, T., Membrane Science and Technology, New York: Marcel Dekker, Inc,1992.
  • Zeman, Leos J., Zydney, Andrew L., Microfiltration and Ultrafitration, Principles and Applications., New York: Marcel Dekker, Inc,1996.
  • Mulder M., Basic Principles of Membrane Technology, Kluwer Academic Publishers, Netherlands, 1996.
  • Jornitz, Maik W., Sterile Filtration, Springer, Germany, 2006
  • Van Reis R., Zydney A. Bioprocess membrane technology. J Mem Sci. 297(2007): 16-50.
  • Templin T., Johnston D., Singh V., Tumbleson M.E., Belyea R.L. Rausch K.D. Membrane separation of solids from corn processing streams. Biores Tech. 97(2006): 1536-1545.
  • Ripperger S., Schulz G. Microporous membranes in biotechnical applications. Bioprocess Eng. 1(1986): 43-49.
  • Thomas Melin, Robert Rautenbach, Membranverfahren, Springer, Germany, 2007, ISBN:3-540-00071-2.
  • Munir Cheryan, Handbuch Ultrafiltration, Behr, 1990, ISBN:3-925673-87-3.
  • Eberhard Staude, Membranen und Membranprozesse, VCH, 1992, ISBN:3-527-28041-3.



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