The effect of gravity on the shape and strength of a liquid bridge between two spheres

Mazzone, Dominick; Tardos, Gabriel I.; Pfeffer, Robert

doi:10.1016/0021-9797(86)90187-6

Cited by 92 publications

(61 citation statements)

References 11 publications

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“…In the present work, for sake of simplicity, we will assume a meniscus profile described by an arc of circumference, as sketched in Fig. 1, under the assumption that the error brought about by this approximation is small in most cases [6,9,18,21].…”

Section: System Descriptionmentioning

confidence: 99%

“…Considering that the particles' size is in the colloidal range, the effect of gravity is negligible, and no other buoyancy force will be considered. In such a case, the liquid bridge has a constant pressure [17], and the meniscus posses the shape of a surface of revolution [18,19] with the same mean curvature everywhere [9]. The meniscus shape is defined as an arc of one of the Delaunay's surfaces [20], which are generated by the rotation around the basis of the Delaunay's roulettes [17].…”

Section: System Descriptionmentioning

confidence: 99%

See 1 more Smart Citation

Capillary and van der Waals forces between uncharged colloidal particles linked by a liquid bridge

Megı́as-Alguacil¹,

Gauckler²

2009

Colloid Polym Sci

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This work presents a theoretical study of the forces established between colloidal particles connected by means of a concave liquid bridge, where the solid particles are partially wetted by a certain amount of liquid also possessing a dry portion of their surfaces. In our analysis, we adopt a two-particle model assuming that the solids are spherical and with the same sizes and properties and that the liquid meniscus features an arc-of-circumference contour. The forces considered are the typical capillary ones, namely, wetting and Laplace forces, as well as the van der Waals force, assuming the particles uncharged. We analyze different parameters which govern the liquid bridge: interparticle separation, wetting angle, and liquid volume, which later determine the value of the forces. Due to the dual characteristic of the particles' surfaces, wet and dry, the forces are to be determined numerically in each case. The results indicate that the capillary forces are dominant in most of the situations meanwhile the van der Waals force is noticeable at very short distances between the particles.

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Section: System Descriptionmentioning

confidence: 99%

Section: System Descriptionmentioning

confidence: 99%

Capillary and van der Waals forces between uncharged colloidal particles linked by a liquid bridge

Megı́as-Alguacil¹,

Gauckler²

2009

Colloid Polym Sci

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“…In Fig. 3, the apparent measured contact angles on the solid particles are compared to the theoretical values calculated from [3] and [4] for experiment 10 (see Fig. 1), using measured values of h i .…”

Section: Pendular Liquid Bridge Shapementioning

confidence: 99%

“…[8] can be replaced by results from [3] or [4]. In the experimental part of this work, the parabolic approximation will first be tested on all the configurations of a liquid bridge with a reducing solidliquid interface, to test its accuracy in terms of surface area and contact angle prediction.…”

Section: Prediction Of Liquid-vapor Interfacial Area Reductionmentioning

confidence: 99%

Modeling Pendular Liquid Bridges with a Reducing Solid–Liquid Interface

Pépin

Rossetti

Simons

2000

Journal of Colloid and Interface Science

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“…Both methods show reasonable accuracy as Scriven et al (2) and Thornton et al (12) have demonstrated. Nevertheless there is an increasing underestimation of the force as the separation distance increases (3).…”

Section: Introductionmentioning

confidence: 97%