Mutual coagulation of colloidal dispersions

Hogg, R.; Healy, Thomas W.; Fuerstenau, D.W.

doi:10.1039/tf9666201638

Cited by 1,771 publications

(967 citation statements)

References 1 publication

(1 reference statement)

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“…When mixing the two components together by Protocol I, two distinct distributions were measured, with the peaks being located at zeta potential values corresponding to the peaks of the individual components. Applying the HoggHealey-Fuerstenau (HHF) approximation, [2] one would anticipate a weak attractive electrical double layer force. The absence of bubble-particle attachment suggests an overall repulsive interaction due to the repulsive van der Waals forces with strong short range repulsive hydration force as a result of highly hydrophilic nature of silica surfaces.…”

Section: Surfactant and Frother Solutionsmentioning

confidence: 99%

“…To support the experimental observations, the classical DLVO-type of interaction between an air bubble and alumina particle at pH 6.5, 8.5 and 11 in the presence of 0.1 mM DF250 were considered. In this study, the electrostatic double layer forces were calculated using the constant potential boundary conditions of air bubble and alumina particle: [2,3] [1]…”

Section: Surfactant and Frother Solutionsmentioning

confidence: 99%

“…[2,3] However, the interaction behavior as theoretically described by DLVO is somewhat limited when considering a wide variety of interaction phenomena at short-range. Non-DLVO forces that are understood to a lesser extent can become dominant, shielding the predicted DLVO-type behavior.…”

Section: Introductionmentioning

confidence: 99%

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Studying bubble–particle interactions by zeta potential distribution analysis

Wang

Harbottle

et al. 2015

Journal of Colloid and Interface Science

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Over the last decade, Xu and Masliyah have pioneered an approach to characterize the interactions between particles in dynamic environments of multicomponent systems by measuring zeta potential distributions of individual components and their mixtures. Using a Zetaphoremeter, the measured zeta potential distributions of individual components and their mixtures were used to determine the conditions of preferential attachment in multicomponent particle suspensions. The technique has been applied to study the attachment of nano-sized silica and alumina particles to sub-micron size bubbles in solutions with and without the addition of surface active agents (SDS, DAH and DF250). The degree of attachment between gas bubbles and particles is shown to be a function of the interaction energy governed by the dispersion, electrostatic double layer and hydrophobic forces. Under certain chemical conditions, the attachment of nano-particles to sub-micron size bubbles is shown to be enhanced by in-situ gas nucleation induced by hydrodynamic cavitation for the weakly interacting systems, where mixing of the two individual components results in negligible attachment. Preferential interaction in complex tertiary particle systems demonstrated strong attachment between micron-sized alumina and gas bubbles, with little attachment between micron-sized alumina and silica, possibly due to instability of the aggregates in the shear flow environment.

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Section: Surfactant and Frother Solutionsmentioning

confidence: 99%

Section: Surfactant and Frother Solutionsmentioning

confidence: 99%

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Studying bubble–particle interactions by zeta potential distribution analysis

Wang

Harbottle

et al. 2015

Journal of Colloid and Interface Science

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“…The theory has also been extended to dispersions containing two particle sizes (Hogg, Healy & Fuerstenau, 1966).…”

Section: Particle Sizementioning

confidence: 99%

Emulsion stabilization by non-ionic surfactants: experiment and theory

Florence

Rogers

1971

Journal of Pharmacy and Pharmacology

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“…Accurate analysis of this interaction requires solving the one-dimensional nonlinear Poisson-Boltzmann equation (PBE) to determine the potential profile w(x) within the electrical double layer (EDL) as a function of distance x from the interacting surfaces. Though explicit relations have been developed for the potential profile w(x) in the vicinity of a single plate [1,2], obtaining analytical solutions for two interacting plates is only possible for the linearized versions of the PBE for weakly charged systems [3][4][5][6], and analysis of highly charged asymmetrical surfaces is only possible by the use of unwieldy complex elliptic integrals or numerical methods [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of Poisson?Boltzmann equation for interacting plates of arbitrary potentials and same sign

Polat

2010

Journal of Colloid and Interface Science

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a b s t r a c tEfficient calculation of electrostatic interactions in colloidal systems is becoming more important with the advent of such probing techniques as atomic force microscopy. Such practice requires solving the nonlinear Poisson-Boltzmann equation (PBE). Unfortunately, explicit analytical solutions are available only for the weakly charged surfaces. Analysis of arbitrarily charged surfaces is possible only through cumbersome numerical computations. A compact analytical solution of the one-dimensional PBE is presented for two plates interacting in symmetrical electrolytes. The plates can have arbitrary surface potentials at infinite separation as long they have the same sign. Such a condition covers a majority of the colloidal systems encountered. The solution leads to a simple relationship which permits determination of surface potentials, surface charge densities, and electrostatic pressures as a function of plate separation H for different charging scenarios. An analytical expression is also presented for the potential profile between the plates for a given separation. Comparison of these potential profiles with those obtained by numerical analysis shows the validity of the proposed solution.

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Mutual coagulation of colloidal dispersions

Cited by 1,771 publications

References 1 publication

Studying bubble–particle interactions by zeta potential distribution analysis

Studying bubble–particle interactions by zeta potential distribution analysis

Emulsion stabilization by non-ionic surfactants: experiment and theory

Analytical solution of Poisson?Boltzmann equation for interacting plates of arbitrary potentials and same sign

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