Study of capillary interaction between two grains: a new experimental device with suction control

Gras, Jordi; Delenne, Jean‐Yves; Youssoufi, Moulay Saı̈d El

doi:10.1007/s10035-012-0388-2

Cited by 32 publications

(35 citation statements)

References 18 publications

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“…The experiment was repeated several times and the mean value was determined as γ s = 0.0496 N/m. Similar values were reported by Gras (mean value of γ s = 0.0510 N/m, [12]). These values are notably Fig.…”

Section: External Curvature Radiussupporting

confidence: 78%

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Laplace pressure evolution and four instabilities in evaporating two-grain liquid bridges

2015

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Dynamic variables characterizing evolution during evaporation of capillary bridge between two spheres are analyzed. The variables include: average Laplace pressure, pressure resulting force, surface tension force and total capillary force calculated based on the previously reported geometrical variables using Young-Laplace law [1,2]. This is the first time to our knowledge that Laplace pressure is calculated from the measured bridge curvatures along the process of evaporation and compared to experimental measurement data. A comparison with the experimental data from analogous capillary bridge extension tests is also shown and discussed. The behavior of evaporating liquid bridges is seen as strongly dependent on the grain separation. Initial negative Laplace pressure at small separations is seen to significantly augment during an advanced stage of evaporation, but to turn into positive pressure, after an instability toward the end of the process, and prior to rupture. At larger separations the pressure is positive all the time, changing a little, but rupturing early. Rupture in all cases occurs at positive pressure. However, because of the evolution of the surface area of contact, the resultant total capillary forces are always tensile, and decreasing toward zero in all cases. Comparison between measured total resultant capillary forces and those calculated from the Young-Laplace law is very good, except for some discrepancies at very small separations (below 50 μm). Up to four consecutive instabilities of capillary bridge are seen developing at some sphere separations. They are: re-pinning-induced suction (pressure) instability; Rayleigh nodoid/ catenoid/unduloid unstable transition, associated with zero-pressure; Rayleigh unduloid/cylinder unstable transition, associated with the formation of a liquid-wire; and lastly, a pinching instability of the liquid-wire, associated with the bridge rupture. Rupture of the bridges is seen at large separations to occur quite early, at only 1/4-1/3 of the initial water volume evaporated. At smallest separations, rupture occurs in a seemingly unstable way when water evaporates from the bridge thinnest section of the neck.

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Section: External Curvature Radiussupporting

confidence: 78%

“…[12]. The mixture composes of the milli-Q ultrapure water and some ingredients acquired by water when it is circulated through the hydraulic system of the apparatus (not relevant in our experiments).…”

Section: External Curvature Radiusmentioning

confidence: 99%

Laplace pressure evolution and four instabilities in evaporating two-grain liquid bridges

2015

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“…There are a few notable exceptions of a specifically focused work on nano-scale separations (<100 nm) by Gao [11] and Maeda et al [12], or spheres at direct contact, Cutts and Burns [13], or on drying of colloidal crystals by Zhou et al [14]. Most of the previous studies on the capillary forces in two-grain liquid bridges deal with extension of the bridges at a constant liquid volume or a constant suction [12,[15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

“…The centers of the spheres are collinear with the axis of vertical symmetry of the balance. The setup is derived from an earlier device described in detail by Soulié et al [38] and Gras et al [18].…”

Section: Experimental Conditions and Techniquesmentioning

confidence: 99%

“…The form of the surface of the phase interface is usually determined through minimization of the total free energy of the bridge, under a condition of constant volume [26]. Numerous efforts were undertaken to determine the shape of the interface [15][16][17][18]27,28]. The surface curvatures determine also the single quantity of the pressure difference across the liquid-gas interface (Laplace pressure) and its resultant across the bridge gorge area as well as the surface tension force acting at the bridge perimeter.…”

Section: Introductionmentioning

confidence: 99%

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Evaporation-induced evolution of the capillary force between two grains

2014

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The evolution of capillary forces during evaporation and the corresponding changes in the geometrical characteristics of liquid (water) bridges between two glass spheres with constant separation are examined experimentally. For comparison, the liquid bridges were also tested for mechanical extension (at constant volume). The obtained results reveal substantial differences between the evolution of capillary force due to evaporation and the evolution due to extension of the liquid bridges. During both evaporation and extension, the change of interparticle capillary forces consists in a force decrease to zero either gradually or via rupture of the bridge. At small separations between the grains (short & wide bridges) during evaporation and at large volumes during extension, there is a slight initial increase of force. During evaporation, the capillary force decreases slowly at the beginning of the process and quickly at the end of the process; during extension, the capillary force decreases quickly at the beginning and slowly at the end of the process. Rupture during evaporation of the bridges occurs most abruptly for bridges with wider separations (tall and thin), sometimes occurring after only 25 % of the water volume was evaporated. The evolution (pinning/depinning) of two geometrical characteristics of the bridge, the diameter of the threephase contact line and the "apparent" contact angle at the solid/liquid/gas interface, seem to control the capillary force evolution. The findings are of relevance to the mechanics of unsaturated granular media in the final phase of drying.

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Numerical Investigation of Funicular Liquid Bridge Interactions Between Spherical Particles

2020

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In industrial processing of wet particulate materials, the liquid governs the formation, growth, and breakup of particle agglomerates. Pendular liquid bridges between two particles have been extensively investigated in the literature. Despite the interest, the complexities in the funicular regime, which involve multiple spheres, have remained mostly uncovered. Validated numerical simulations are utilized herein to examine funicular liquid bridge shapes, interaction forces, and rupture conditions as functions of the liquid volume, pressure difference, interparticle distance, and contact angle for three-sphere and four-sphere arrangements, including the presence of a particle of different size. The agglomerate strength is quantitatively characterized for a broad range of conditions.

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Study of capillary interaction between two grains: a new experimental device with suction control

Cited by 32 publications

References 18 publications

Laplace pressure evolution and four instabilities in evaporating two-grain liquid bridges

Laplace pressure evolution and four instabilities in evaporating two-grain liquid bridges

Evaporation-induced evolution of the capillary force between two grains

Numerical Investigation of Funicular Liquid Bridge Interactions Between Spherical Particles

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