An assessment of heterocoagulation theories

Kihira, Hiroshi; Matijević, Egon

doi:10.1016/0001-8686(92)80017-r

Cited by 40 publications

(19 citation statements)

References 30 publications

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“…However, little difference is observed experimentally between the logα------logCs curves of large and small particles. Several possible explanations were proposed for these disparities as well as the similar disparities observed in the kinetics of aggregation, including distribution of surface properties (Prieve and Ruckenstein 1980;Tobiason 1987;Vaidyanathan and Tien 1991), surface charge heterogeneity (Hull and Kitchener 1969;Bowen and Epstein 1979;Gregory and Wishart 1980;Adamczyk 1983;Sjollema, Busscher et al 1989;Busscher, Sjollema et al 1990;Vaidyanathan and Tien 1991;Kihira and …”

Section: Inadequacy Of Dlvo Theory In Explaining Column Test Datamentioning

confidence: 97%

Deposition of Silver Nanoparticles in Geochemically Heterogeneous Porous Media: Predicting Affinity from Surface Composition Analysis

Lin

Cheng

Bobcombe

et al. 2011

Environ. Sci. Technol.

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This study focused on the effect of surface heterogeneity on the affinity of nanoparticle (for that surface) and the viability of using surface composition analysis to facilitate the prediction of such an affinity. The transport of the uncoated silver nanoparticles (AgNPs) in a porous medium composed of silica glass beads partially covered with iron oxide was studied and compared to that in a porous medium composed of unmodified glass beads (GB). It was found that at relative high pH (8.3) there existed only a small difference in AgNPs mobility in both porous media unless the ionic strength was sufficiently high while at lower pH (5) AgNPs had considerably lower affinity for the GB collectors compared to that of the iron oxide coated glass beads (FeO---GB) collectors, even at relative low ionic strengths. There was a linear correlation between the average nanoparticle affinity for media composed of mixtures of FeO---GB and GB collectors and the relative composition of those media as quantified by the mixing mass ratios of the two types of collectors, so that the average AgNPs affinity for these media is readily predicted from the mass (or surface) weighted average of affinities for each of the surface types. Using X---ray Photoelectron Spectroscopy (XPS) to quantify the composition of the collector surface appears to be a viable means to predict the affinity between the nanoparticles and a collector surface with known composition provided that a relevant correlation curve could be established from measured affinity between v the nanoparticles and collector surfaces with similar but different composition (i.e. surfaces with the same components but different proportion of each component). vi ContentsAbstract

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Section: Inadequacy Of Dlvo Theory In Explaining Column Test Datamentioning

confidence: 97%

Deposition of Silver Nanoparticles in Geochemically Heterogeneous Porous Media: Predicting Affinity from Surface Composition Analysis

Lin

Cheng

Bobcombe

et al. 2011

Environ. Sci. Technol.

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“…The most complete analysis of the electrostatic interactions in disperse systems has been conducted by many authors as applied to the case of two particles in a medium (for example, (4)(5)(6)). However, in the case of sufficiently concentrated disperse systems, one deals with essentially cooperative effects when the ensemble includes a number of the interacting particles (droplets) as well as the ionic subsystem.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…[7] Equation [6] with boundary conditions [2] and [7] defines the problem to provide the potential distribution e (r, s ) within the cell. Such a problem was formulated and solved by Levine et al (21) using Debye's approximation.…”

Section: The Cell Modelmentioning

confidence: 99%

Electrostatic Repulsion in Concentrated Disperse Systems

Zholkovskij

Czarnecki

Masliyah

2001

Journal of Colloid and Interface Science

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“…The electrostatic repulsion potential energy, V R , for unlike particles is rather difficult to compute because no exact analytical solution exists and the different approximations available [100] are not valid for the entire range of radius, surface potential, and ionic strength typical of EP systems. Nevertheless, the condition imposed on the dimensionless particle size shows that the applicability of the HHF equation to the small precursor particles is questionable.…”

Section: Overview Of the Dlvo Approachmentioning

confidence: 99%

“…The absence of a reliable analytical expression for V R raises a problem, since V R has a strong influence on the values of stability ratio. If necessary, this difficulty could be overcome by using the exact non-linear treatment by Overbeek [100], but given the inherent limitations of the DLVO theory (see the next section) such treatment in not likely to worth the effort.…”

Section: Overview Of the Dlvo Approachmentioning

confidence: 99%

Modeling particle size distribution in emulsion polymerization reactors

Vale

McKenna

2005

Progress in Polymer Science

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A review of the use and limitations of Population Balance Equations (PBE) in the modeling of emulsion polymerisation (EP), and in particular of the particle size distribution of the dispersed system is presented. After looking at the construction of the general form of PBEs for EP, a discussion of the different approaches used to model polymerization kinetics is presented. Following this, specific applications are presented in terms of developing a two-dimensional PBE for the modeling of more complex situations (for example the particle size distribution, PSD, and the composition of polymerizing particles). This review demonstrates that while the PBE approach to modeling EP is potentially very useful, certain problems remain to be solved, notably: the need to make simplifying assumptions about the distribution of free radicals in the particles in order to limit the computation complexity of the models; and the reliance of full models on approximate coagulation models. The review finishes by considering the different numerical techniques used to solve PBEs.

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An assessment of heterocoagulation theories

Cited by 40 publications

References 30 publications

Deposition of Silver Nanoparticles in Geochemically Heterogeneous Porous Media: Predicting Affinity from Surface Composition Analysis

Deposition of Silver Nanoparticles in Geochemically Heterogeneous Porous Media: Predicting Affinity from Surface Composition Analysis

Electrostatic Repulsion in Concentrated Disperse Systems

Modeling particle size distribution in emulsion polymerization reactors

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