A new method for calculation of flocculation kinetics combining Smoluchowski model with fractal theory
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Jarvis, 2005, Breakage, regrowth, and fractal mature of natural organic matter flocs, Environ. Sci. Technol., 39, 2307, 10.1021/es048854x
Yu, 2010, Breakage and regrowth of al-humic flocs – effect of additional coagulant dosage, Environ. Sci. Technol., 44, 6371, 10.1021/es1007627
Jarvis, 2006, Floc structural characteristics using conventional coagulation for a high doc, low alkalinity surface water source, Water Res., 40, 2727, 10.1016/j.watres.2006.04.024
Rahn-Chique, 2012, Nanoemulsion stability: experimental evaluation of the flocculation rate from turbidity measurements, Adv. Colloid Interface Sci., 178, 1, 10.1016/j.cis.2012.05.001
Gregory, 2009, Monitoring particle aggregation processes, Adv. Colloid Interface Sci., 147–148, 109, 10.1016/j.cis.2008.09.003
Lattuada, 2003, A simple model for the structure of fractal aggregates, J. Colloid Interface Sci., 268, 106, 10.1016/j.jcis.2003.07.027
Urbina-Villalba, 2005, Calculation of flocculation and coalescene rates for concentrated dispersions using emulsion stability simultions, Langmuir, 21, 1719, 10.1021/la048433t
Smoczynski, 2009, Computer simulation of the flocculation of suspended solids, Chem. Eng. J., 152, 146, 10.1016/j.cej.2009.04.020
von Smoluchowski, 1917, Experiments on a mathematical theory of kinetic coagulation of coloid solutions, Z. Phys. Chem., 92, 129
Lee, 2000, Modeling coagulation kinetics incorporating fractal theories: a fractal rectilinear approach, Water Res., 34, 1987, 10.1016/S0043-1354(99)00354-1
Bushell, 2002, On techniques for the measurement of the mass fractal dimension of aggregates, Adv. Colloid Interface Sci., 95, 1, 10.1016/S0001-8686(00)00078-6
Lattuada, 2003, Aggregation kinetics of polymer colloids in reaction limited regime: experiments and simulations, Adv. Colloid Interface Sci., 103, 33, 10.1016/S0001-8686(02)00082-9
Chen, 2007, A kinetic investigation of cationic starch adsorption and flocculation in kaolin suspension, Chem. Eng. J., 133, 325, 10.1016/j.cej.2007.02.019
Das, 2004, A kinetic investigation of the flocculation of alumina with polyacrylic acid, J. Colloid Interface Sci., 271, 102, 10.1016/j.jcis.2003.11.010
Kusaka, 2011, Cluster–cluster aggregation simulation in a concentrated suspension, J. Colloid Interface Sci., 363, 34, 10.1016/j.jcis.2011.07.024
Li, 2011, Aggregation kinetics of CeO(2) nanoparticles in KCl and CaCl(2) solutions: measurements and modeling, J. Nanopart. Res., 13, 6483, 10.1007/s11051-011-0548-z
Blanco, 2005, Effect of shearing forces and flocculant overdose on filler flocculation mechanisms and floc properties, Ind. Eng. Chem. Res., 44, 9105, 10.1021/ie050870v
Negro, 2005, Flocculation mechanism induced by phenolic resin/PEO and floc properties, AIChE J., 51, 1022, 10.1002/aic.10352
Van de Ven, 1989
Mishchuk, 2005, Theoretical analysis of coagulation kinetics in Brownian disperse systems, Colloid J., 67, 341, 10.1007/s10595-005-0102-8
Fabrizi, 2010, The role of polymer in improving floc strength for filtration, Environ. Sci. Technol., 44, 6443, 10.1021/es101543h
Yeung, 1996, A new approach to studying the strength and breakup of flocs, J. Colloid Interface Sci., 184, 579, 10.1006/jcis.1996.0654
Jarvis, 2005, How the natural organic matter to coagulant ratio impacts on floc structural properties, Environ. Sci. Technol., 39, 8919, 10.1021/es0510616
Li, 2005, Determination of the fractal dimension of microbial flocs from the change in their size distribution after breakage, Environ. Sci. Technol., 39, 2731, 10.1021/es049177+
Vahedi, 2011, Application of fractal dimensions to study the structure of flocs formed in lime softening process, Water Res., 45, 545, 10.1016/j.watres.2010.09.014
Wen, 2011, Fractal dimension as a characteristics index of flocculation effect of wastewater and its influence factors, J. Nanchang Univ., 33, 17
Gagnon, 2006, A fractal model describing the aggregation of various mineral materials, Light Metals, 1, 17
Chakraborti, 2000, Characterization of alum floc by image analysis, Environ. Sci. Technol., 34, 3969, 10.1021/es990818o
Yu, 2011, The role of mixing conditions on floc growth, breakage and re-growth, Chem. Eng. J., 171, 425, 10.1016/j.cej.2011.03.098
Rasteiro, 2008, The use of LDS as a tool to evaluate flocculation mechanisms, Chem. Eng. Process., 47, 1323, 10.1016/j.cep.2007.04.009
Yang, 2012, Evaluation of the flocculation performance of carboxymethyl chitosan-graft-polyacrylamide, a novel amphoteric chemically bonded composite flocculant, Water Res., 46, 107, 10.1016/j.watres.2011.10.024
Vaezi, 2011, Flocculation kinetics and aggregate structure of kaolinite mixtures in laminar tube flow, J. Colloid Interface Sci., 355, 96, 10.1016/j.jcis.2010.11.068
Kilic, 2010, A comparative study of electrocoagulation and coagulation of aqueous suspensions of kaolinite powders, J. Hazard. Mater., 176, 735, 10.1016/j.jhazmat.2009.11.097
Mie, 1908, Articles on the optical characteristics of turbid tubes, especially colloidal metal solutions, Ann. Phys.-Berlin, 25, 377, 10.1002/andp.19083300302
Greenwood, 2007, Light scattering study on the size and structure of calcium phosphate/hydroxyapatite flocs formed in sugar solutions, J. Colloid Interface Sci., 306, 66, 10.1016/j.jcis.2006.10.010
Burns, 2002, The effect of molecular weight of nonadsorbing polymer on the structure of depletion-induced flocs, J. Colloid Interface Sci., 247, 24, 10.1006/jcis.2001.8115
Farias, 1996, Range of validity of the Rayleigh-Debye-Gans theory for optics of fractal aggregates, Appl. Opt., 35, 6560, 10.1364/AO.35.006560
Harif, 2011, Size and structure evolution of kaolin–Al(OH)3 flocs in the electroflocculation process: a study using static light scattering, Water Res., 45, 6195, 10.1016/j.watres.2011.09.027
Cao, 2011, The impact of pH on floc structure characteristic of polyferric chloride in a low DOC and high alkalinity surface water treatment, Water Res., 45, 6181, 10.1016/j.watres.2011.09.019
Selomulya, 2001, Evidence of shear rate dependence on restructuring and breakup of latex aggregates, J. Colloid Interface Sci., 236, 67, 10.1006/jcis.2000.7372
Barbot, 2010, Coagulation of bentonite suspension by polyelectrolytes or ferric chloride: floc breakage and reformation, Chem. Eng. J., 156, 83, 10.1016/j.cej.2009.10.001
Biggs, 2000, Aggregate structures formed via a bridging flocculation mechanism, Chem. Eng. J., 80, 13, 10.1016/S1383-5866(00)00072-1
Yu, 2006, Flocculation of kaolin particles by two typical polyelectrolytes: a comparative study on the kinetics and floc structures, Colloid Surf. A-Physicochem. Eng. Aspects, 290, 288, 10.1016/j.colsurfa.2006.05.040
Thill, 2001, Flocs restructuring during aggregation: experimental evidence and numerical simulation, J. Colloid Interface Sci., 243, 171, 10.1006/jcis.2001.7801
Bushell, 2000, Measurement of fractal aggregates of polydisperse particles using small-angle light scattering, J. Colloid Interface Sci., 221, 186, 10.1006/jcis.1999.6532
Zhou, 2006, Flocculation mechanism induced by cationic polymers investigated by light scattering, Langmuir, 22, 6775, 10.1021/la060281+
Wang, 2012, pH dependence of structure and surface properties of microbial EPS, Environ. Sci. Technol., 46, 737, 10.1021/es203540w
Ofori, 2011, Shear-induced floc structure changes for enhanced dewatering of coal preparation plant tailings, Chem. Eng. J., 172, 914, 10.1016/j.cej.2011.06.082
Zhao, 2011, The impacts of coagulant aid-polydimethyldiallylammonium chloride on coagulation performances and floc characteristics in humic acid–kaolin synthetic water treatment with titanium tetrachloride, Chem. Eng. J., 173, 376, 10.1016/j.cej.2011.07.071
Yang, 2011, Flocculation properties of biodegradable amphoteric chitosan-based flocculants, Chem. Eng. J., 172, 287, 10.1016/j.cej.2011.05.106
Costas, 1995, Some analytical and numerical-solutions for colloidal aggregation with fragmentation, J. Phys. A-Math. Gen., 28, 2981, 10.1088/0305-4470/28/11/004
Berlin, 1995, Kinetic-models of suspension flocculation by polymers, Colloid Surf. A-Physicochem. Eng. Asp., 104, 67, 10.1016/0927-7757(95)03219-4
Pourrezaei, 2011, The impact of metallic coagulants on the removal of organic compounds from oil sands process-affected water, Environ. Sci. Technol., 45, 8452, 10.1021/es201498v
Liu, 2007, DLVO approach to the flocculability of a photosynthetic H-2-producing bacterium, Rhodopseudomonas acidophila, Environ. Sci. Technol., 41, 4620, 10.1021/es070107n
Palomino, 2011, Comparison of two cationic polymeric flocculant architectures on the destabilization of negatively charged latex suspensions, Polymer, 52, 1019, 10.1016/j.polymer.2010.12.033
Bremer, 1995, Estimations of the aggregation time of various colloidal systems, Colloid Surf. A-Physicochem. Eng. Aspects, 99, 121, 10.1016/0927-7757(95)03159-B
Camp, 1943, Velocity gradients and internal work in fluid motion, J. Boston Soc. Civil Eng., 30, 219
Rushton, 1952, Mixing of liquids in chemical processing, Ind. Eng. Chem., 44, 2931, 10.1021/ie50516a045
Chen, 2006, Aggregation and deposition kinetics of fullerene (C-60) nanoparticles, Langmuir, 22, 10994, 10.1021/la062072v
Lee, 2011, A two-class population balance equation yielding bimodal flocculation of marine or estuarine sediments, Water Res., 45, 2131, 10.1016/j.watres.2010.12.028
Flory, 1953