Abstract
Porous and fractal analysis on the permeability of nanofiltration membranes was investigated for the removal of metal ions. The permeability of a porous membranes used in wastewater treatment is strongly depended on its local geometry and connectivity, the size distribution of the pores available for flow. Fouling studies with two different membranes at three different pHs were carried out with manganese and magnesium. It was shown that the tighter membrane was less rougher and less fouled compared with the rougher membrane. NF90-2450 showed the highest degree of fouling. The X-ray diffraction showed that NF90-2540 consist of a pronounced diamond at the angle of 45 °C which was responsible for porosity. The threshold images were obtained from the scanning electron microscopy images with the use of Image J software confirmed that NF90-2540 has higher percentage porosity when compared with the percentage porosity of NF1540-3. An evaluation of the relationships between porosity and permeability for the fractal analysis by a box counting was done. The evaluation also confirmed that the lower fractal dimension corresponds to a lower value of porosity. The higher the pH, the lower the fractal dimension of the used membranes due to the blockage of pores. A higher value of fractal dimension of the used membrane at a lower pH corresponds to a lower rejection of the metal ions.
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References
Yu BM (2005) Fractal character for tortuous stream tubes in porous media. Chin Phys Lett 22(1):158–160
Al-Mossawy MI, Demiral B, Raja DMA (2011) Foam dynamics in porous media and its applications in enhanced oil recovery: review. IJRRAS 7(4):351–359
Howell JR, Hall MJ, Ellzey JL (1996) Combustion of hydrocarbon fuels within porous inert media. Prog Energy Combust Sci 122:121–145. doi:10.1016/0360-1285(96)00001-9
Kamal MM, Mohamad AA (2006) Combustion in porous media: a review. J Power Energy 220:487–508. doi:10.1243/09576509JPE169
Wood S, Harris AT (2008) Porous burners for lean-burn applications. Prog Energy Combust Sci 34:667–684. doi:10.1016/j.pecs.2008.04.003
Bowles J (1984) Physical and geotechnical properties of soil, 2nd edn. McGraw-Hill Book Company, New York
Shkolnikov V, Strickland DG, Fenning DP, Santiago JG (2010) Design and fabrication of porous polymer wick structures. Sens Actuators B 150:556–563. doi:10.1016/j.snb.2010.08.040
Cuperus FP, Smolders CA (1991) Characterization of UF membranes: membrane characteristics and characterization techniques. Adv Colloid Interface Sci 34:135–173. doi:10.1016/0001-8686(91)80049-P
Helwani Z, Wiheeb AD, Shamsudin IK, Kim J, Othman MR (2015) The effects of fractality on hydrogen permeability across meso-porous membrane. Heat Mass Transfer 51:751–758. doi:10.1007/s00231-014-1445-7
Burggraaf AJ, Cot L (1996) Fundamentals of inorganic membranes science and technology, vol 4. Elsevier, Amsterdam
Kikkinides ES, Stoitsas KA, Zaspalis VT, Burganos VN (2004) Simulation of structural and permeation properties of multi-layer ceramic membranes. J Membr Sci 243:133–149. doi:10.1016/j.memsci.2004.06.019
Mandelbrot BB (1982) The fractal geometry of nature. Freeman, New York, p 23
Pitchumani R, Ramakrishnan BA (1999) Fractal geometry model for evaluating permeabilities of porous performs used in liquid composite molding. Int J Heat Mass Transfer 42:2219–2232
Zhang L-Z (2008) A fractal model for gas permeation through porous membranes. Int J Heat Mass Transfer 51:5288–5295. doi:10.1016/j.ijheatmasstransfer.2008.03.008
Ibaseta N, Biscans B (2010) Fractal dimension of fumed silica: comparison of light scattering and electron microscope methods. Powder Technol 203:206–210. doi:10.1016/j.poetec.2010.05.010
Yu BM (2001) Comments on a fractal geometry model for evaluating permeabilities of porous preforms used in liquid composite molding. Int J Heat Mass Transfer 44:2787–2789
Gmachowski L (2003) Transport properties of fractal aggregates calculated by permeability. Colloids Surf A 215:173–179. doi:10.1016/S0927-7757(02)00440-5
Gmachowski L (2003) Mass- radius relation for fractal aggregates of polydisperse particles. Colloids Surf A 224:45–52. doi:10.1016/S0927-7757(03)00318-2
Mandelbrot BB (1977) Fractal-form: chance and dimension, vol 1. Freeman, San Francisco
Meng FG, Zhang HM, Li YS, Zhang XW, Yang FL, **ao JN (2005) Cake layer morphology in microfiltration of activated sludge wastewater based on fractal analysis. Sep Purif Technol 44:250–257. doi:10.1016/j.seppur.2005.01.015
Cai J, Perfect E, Cheng C-L, Hu X (2014) Generalized modeling of spontaneous imbibition based on Hagen-Poiseuille flow in tortuous capillaries with variably shaped apertures. Langmuir 30:5142–5151. doi:10.1021/la5007204
Kaye BH (1991) Characterizing the structure of fumed pigments using the concepts of fractal geometry. Part Part Syst Charact 9:63–71. doi:10.1002/ppsc.19910080112
Kaye BH (1993) Applied fractal geometry and the fineparticle specialist. Part I: Rugged boundaries and rough surfaces. Part Part Syst Charact 10:99–110. doi:10.1002/ppsc.19930100302
Xu L, Zhu QX, Lu SQ (2000) Study on the cake structure of cross-flow micro-filtration. In: Proceedings the 8th World filtration Congress, London, p 449
Syvitski JPM (2007) Principle, methods and applications of particle size analysis. Cambridge University Press, New York, p 99
Meng F, Zhang H, Li Y, Zhang Z, Yang F (2005) Application of fractal permeation model to investigate membrane fouling in membrane bioreactor. J Membr Sci 262:107–116. doi:10.1016/j.memsci.2005.04.013
Akbari A, Homayonfal M, Jabbari V (2010) Synthesis and characterization of composite polysulfonemembranes for desalination in nanofiltration technique. Water Sci Technol 62(11):2655–2663. doi:10.2166/wst.2010.512
Alayemieka E, Lee S (2013) Modification of polyamide membrane surface with chlorine dioxide solutions of differing pH. Desalin Water Treat 45:84–90
Said MM, El-Aassar AHM, Kotp YH, Shawky HA, Abdel Mottaleb MSA (2013) Performance assessment of prepared polyamide thin film composite membrane for desalination of saline groundwater at Mersa Alam-Ras Banas, Red Sea Coast, Egypt. Desalin Water Treat 51:4927–4937. doi:10.1080/19443994.2012.692013
Omidvar M, Mousavi SM, Soltanieh M, Safekordi AA (2014) Preparation and characterization of poly (ethersulfone) nanofiltration membranes for amoxicillin removal from contaminated water. J Environ Sci Eng 12(18):1–9. doi:10.1186/2052-336X-12-18
Horcas I, Fernandez R, Gomez-Rodriguez JM, Colchero J, Gomez-Herrero J, Baro AM (2007) WSXM: software for scanning probe microscopy and tool for nanotechnology. Rev Sci Instrum 78:013705–013708. doi:10.1063/1.2432410
Pontié M, Thekkedath A, Kecili K, Dach H, De Nardi F, Castaing JB (2012) Clay filter-aid in ultrafiltration (UF) of humic acid solution. Desalin 292:73–86. doi:10.1016/j.desal.2012.02.011
Karan S, Samitsu S, Peng X, Kurashime K, Ichinose I (2012) Ultrafast viscous permeation of organic solvents through diamond-like carbon nanosheets. Science 335:444–447. doi:10.1126/science.1212101
Khulbe KC, Feng CY, Matsuura TS (2008) Synthetic polymeric membranes characterization by atomic force microscopy, vol 2. Springer, Berlin
Song L, Johnson PR, Elimelech M (1994) Kinetics of colloid deposition onto heterogeneously charged surfaces in porous media. Environ Sci Technol 28:1164–1171. doi:10.1021/es00055a030
Vrijenhoek EM, Hong S, Elimelech M (2001) Influence of membrane surface properties on initial rate of colloidal fouling of reverse osmosis and nanofiltration membranes. J Membr Sci 188:115–128. doi:10.1016/S0375-7688(01)00376-3
Bowen WR, Doneva TA (2000) Atomic force microscopy studies of membranes: effect of surface roughness on double layer interaction and particle adhesion. J Colloid Interface Sci 229(2):544–549. doi:10.1016/jcis.2000.6997
Bowen WR, Hilal N, Lovitt RW, Wright CJ (1998) A new technique for membrane characterization: direct measurement of the force of adhesion of a single particle using atomic force microscopic. J Membr Sci 139(2):269–274
Yu B, Cheng P (2002) A fractal permeability model for bi-dispersed porous media. Int J Heat Mass Transfer 45:2983–2993
Alpatova A, Verbych S, Bryk M, Nigmatullin R, Hilal N (2004) Ultrafiltration of water containing natural organic matter: heavy metal removing in the hybrid complexation-ultrafiltration process. Sep Purif Technol 40(2):155–162. doi:10.1016/j.seppur.2004.02.003
Lin Y-L (2013) Effect of physiochemical properties of nanofiltration membranes on the rejection of small organic DBP precursors. J Environ Eng 139:127–136. doi:10.1061/(ASCE)EE.1943-7870.0000623
Chaudhari LB, Murthy ZVP (2008) Removal of nickel and cadmium ions from aqueous waste by a nanofiltration. J Environ Res Dev 3:400–406
Vanysek P (2005) Ionic conductivity and diffusion at infinite dilution in: CRC handbook of chemistry and physics, vol 5, 90th edn. CRC Press, Boca Raton
Mohammad AW, Othaman R, Hilal N (2004) Potential use of nanofiltration membranes in treatment of industrial wastewater from Ni-P electroless plating. Desalin 168:241–252. doi:10.1016/j.desal.2004.07.004
Agboola O, Maree J, Mbaya R, Kolesnikov A, Sadiku R, Verliefde A, D’Haes A (2015) Microscopical characterization of nanofiltration membranes for the removal of nickel ions from aqueous solution. Korean J Chem Eng 32(4):731–742. doi:10.1007/s11814-014-0290-1
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Agboola, O., Mokrani, T. & Sadiku, R. Porous and fractal analysis on the permeability of nanofiltration membranes for the removal of metal ions. J Mater Sci 51, 2499–2511 (2016). https://doi.org/10.1007/s10853-015-9562-3
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DOI: https://doi.org/10.1007/s10853-015-9562-3