Direct measurements of particle–bubble interactions

Gillies, Graeme; Kappl, Michael; Butt, Hans‐Jürgen

doi:10.1016/j.cis.2004.08.003

Cited by 89 publications

(69 citation statements)

References 39 publications

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“…The colloid probe technique can be readily adapted to study particle-bubble interactions (for a recent review, see [863]). Therefore, a small bubble is attached to a hydrophobic surface at the bottom of the liquid cell of the AFM.…”

Section: Particle-bubble Interactionmentioning

confidence: 99%

Force measurements with the atomic force microscope: Technique, interpretation and applications

Butt

Cappella

Kappl

2005

Surface Science Reports

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3,246

2,949

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Section: Particle-bubble Interactionmentioning

confidence: 99%

Force measurements with the atomic force microscope: Technique, interpretation and applications

Butt

Cappella

Kappl

2005

Surface Science Reports

Self Cite

3,246

2,949

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“…In contrast, for the more hydrophobic particles, such as the ones with contact angles approaching 90 o or above, direct measurements of forces using AFM, reveals only a net attractive interaction upon approach of the particle towards a bubble. [52][53][54] Indeed, one may also infer the lack of an energy barrier from the relatively low values of measured potential for such hydrophobically modified surfaces. Values of -10 mV to -20 mV are not uncommon.…”

Section: 1mentioning

confidence: 99%

Effect of particle adsorption rates on the disproportionation process in pickering stabilised bubbles

Ettelaie

Murray

2014

The Journal of Chemical Physics

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The degree of shrinkage of particle stabilised bubbles of various sizes, in a polydisperse bubble dispersion, has been investigated in the light of the finite adsorption times for the particles and the disproportionation kinetics of the bubbles. For the case where the system contains an abundance of particles we find a threshold radius, above which bubbles are stabilised without any significant reduction in their size. Bubbles with an initial radius below this threshold on the other hand, undergo a large degree of shrinkage prior to stabilisation.As the ratio of the available particles to the bubbles is reduced, it is shown that the final bubble size, for the larger bubbles in the distribution, becomes increasingly governed by the number of particles, rather than their adsorption time per se. For systems with "adsorption controlled" shrinkage ratio, the final bubble distribution is found to be wider than the initial one, while for a "particle number controlled" case it is actually narrower. Starting from an unimodal bubble size distribution, we predict that at intermediate times, prior to the full stabilisation of all bubbles, the distribution breaks up into a bimodal one. However, the effect is transient and an unimodal final bubble size distribution is recovered once again, when all the bubbles are stabilised by the particles.-3-1

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“…air-water or oil-water) and the fluids and the particle. In particular, the experimental results suggest that in the majority of cases the restoring forces generated as a result of the displacement of a particle trapped on the surface of a bubble or droplet, away from its equilibrium position, varies almost in a linear fashion with the displacement of the particle 30 . This linear Hookean type variation, first suggested by Joanny and de Gennes 37,38 , continues to distances almost up to the point where the particle becomes detached from the droplet, i.e.…”

Section: Introductionmentioning

confidence: 96%

“…On the experimental side, several studies involving atomic force microscopy and micro-force balance have provided a detail account of the forces that result during the approach, subsequent attachment, and finally the detachment of particles from the surface of bubble [24][25][26][27][28][29][30][31][32] . Close to the surfaces of bubbles, and prior to the attachment of the particle, the forces involved are a combination of the well-known colloidal interactions, namely van der Waals, electrostatic and hydrophobic forces 26,33 .…”

Section: Introductionmentioning

confidence: 99%

Detachment force of particles from fluid droplets

Ettelaie

Lishchuk

2015

Soft Matter

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We calculate the deformation of a spherical droplet, resulting from the application of a pair of opposite forces to particles located diametrically opposite at the two ends of the droplet. The free-energy analysis is used to calculate the force-distance curves for the generated restoring forces, arising from the displacement of the particles relative to each other. While the logarithmic dependence of the "de Gennes-Hooke" constant on the particle to droplet size ratio, ν, is rather well known in the limit of very small ν, we find that for more realistic particle to droplet size ratios, i.e. ν = 0.001 to 0.01, the additional constant terms of O(1) constitute a significant correction to previously reported results. We derive the restoring force constant to be 2πγ [0.5 − ln(ν/2)] −1 , in perfect agreement with the exact semi-numerical analysis of the same problem. The deviation from the linear force-displacement behaviour, occurring close to the point of detachment, is also investigated. A study of the energy dissipated shows it to be an increasingly dominant component of the work done during the detachment of the particles, as ν decreases. This indicates the existence of a significantly higher energy barrier to desorption of very small particles, compared to the one suggested by their adsorption energy alone.

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Direct measurements of particle–bubble interactions

Cited by 89 publications

References 39 publications

Force measurements with the atomic force microscope: Technique, interpretation and applications

Force measurements with the atomic force microscope: Technique, interpretation and applications

Effect of particle adsorption rates on the disproportionation process in pickering stabilised bubbles

Detachment force of particles from fluid droplets

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