A physical model for liquid capillary bridges between adsorptive solid spheres: The nodoid of plateau

Bisschop, F.R.E. De; Rigole, W.

doi:10.1016/0021-9797(82)90161-8

Cited by 108 publications

(68 citation statements)

References 4 publications

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“…The possible separation of the particles, H, for any liquid bridge, is limited by lower and upper values. Indeed, if the particles depart beyond a certain distance H max , the bridge becomes unstable due to Rayleigh instabilities [22] and breaks [7,11,23], meanwhile if the particles are closer than H min , the concave geometry is not further preserved.…”

Section: System Descriptionmentioning

confidence: 99%

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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%

“…Capillary forces between pairs of particles due to a liquid bridge have been investigated by different authors, i.e., [1][2][3][4][5][6][7][8][9][10][11][12][13], since this is the scenario found in many practical situations like in wet granular media [14], particle stabilized foams [15], etc. and processes like liquid phase sintering [6].…”

Section: Introductionmentioning

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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“…The meniscus force between two spheres has been calculated numerically [136,[140][141][142] and with the toroidal approximation [120,143,144]. For a sphere of radius R which is a distance D away from a planar surface the meniscus forces is [145] …”

Section: Calculation Of Meniscus Force For Fundamental Geometriesmentioning

confidence: 99%

On the Adhesion between Fine Particles and Nanocontacts: An Atomic Force Microscope Study

et al. 2006

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To optimize the handling of fine powders in industrial applications, understanding the interaction forces between single powder particles is fundamental. The forces between colloidal particles dominate the behavior of a great variety of materials, including paints, paper, soil, and many industrial processes. With the invention of the atomic force microscope (AFM), the direct measurement of the interaction between single micron-sized particles became possible. The adhesional contact between a particle and a substrate is a parameter for analyzing pull-off force data generated by AFM. The aim of this study was to understand surface interactions between fine particles. I measured the adhesion forces between AFM tips or particles attached to AFM cantilevers and different solid samples. Smooth and homogeneous surfaces such as silicon wafer, mica, or highly oriented pyrolytic graphite (HOPG), and more rough and heterogeneous surfaces such as iron particles or patterns of TiO 2 nanoparticles on silicon wafer were used. First, I addressed to the wellknown issue that AFM adhesion experiment results show wide distributions of adhesion forces rather than a single value. My experimental results show that variations in adhesion forces comprise fast (i.e., from one force curves to the next) random fluctuations and slower fluctuations, which occur over tens or hundreds of consecutive measurements. Slow fluctuations are not likely to be the result of variations in external factors such as lateral position, temperature, humidity, and so forth because those were kept constant. Even if two solid bodies are brought into contact under precisely the same conditions (same place, load, direction, etc.) the result of such a measurement will often not be the same as for the previous contact. The measurement itself will induce structural changes in the contact region which can change the value for the next adhesion force measurement.In the second part I studied the influence of humidity on the adhesion of nanocontacts. Humidity was adjusted relatively fast to minimize tip wear during one experiment. For hydrophobic surfaces, no signification change of adhesion force with humidity was observed. Adhesion force-versus-humidity curves recorded with hydrophilic surfaces either showed a maximum or continuously increased. I demonstrate that the results can be interpreted with simple continuum theory of the meniscus force. The meniscus force is calculated based on a model that includes surface roughness and takes into account different AFM tip (or particle) shapes by a two-sphere-model.Experimental and theoretical results show that the precise contact geometry has a critical influence on the humidity dependence of the adhesion force.Changes of tip geometry on the sub-10-nm length scale can completely change adhesion force-versus-humidity curves. Our model can also explain the differences between earlier AFM studies, where different dependencies of the adhesion force on humidity were observed.Keywords: Atomic force microscopy (AFM), cantile...

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“…The diŠerential pressure between the two sides of the liquid-vapor interface is equal to the surface tension on the interface multiplied by the average radius of the curvature of the interface. Equation (6) shows the proposed solution (De Bisschop and Rigole, 1982)…”

Section: Governing Equationsmentioning

confidence: 99%

Capillary Induced Small-Strain Stiffness for Hydrophilic and Hydrophobic Granular Materials: Experimental and Numerical Studies

Truong

Lee

Dong

et al. 2011

Soils and Foundations

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The negative pore-water pressure in unsaturated soils increases the inter-particle force and small-strain stiŠness, though this concept is only valid in wettable soils. The non-wetting nature of soils originating from the organic contamination of geoenvironments and natural hazards causes unexpected geo-events such as impermeation of water and hillslope runoŠ due to the changes in soil wettability. This study presents an experimental and numerical investigation to understand the evolution of capillary force and pressure for unsaturated soils whose surface wettability is wettable (hydrophilic) and water-repellent (hydrophobic). Hydrophobic granular materials are synthesized by the silanization technique with 0.5 mm diameter glass beads. The small-strain shear stiŠness and corresponding degree of saturation are continuously monitored during evaporation for both specimens. The peak value of maximum shear stiŠness is captured at a degree of saturation S¿5.5z for hydrophilic specimen, while the hydrophobic specimen shows a quasiconstant small-strain stiŠness during evaporation. The minimization of free energy for the liquid bridge between the two-particle system allows the attractive and repulsive capillary force and pressure produced between particles to be numerically estimated. The regime of zero-capillary pressure is identiˆed depending on the contact angle and volume of liquid bridge. The measurement of small-strain stiŠness combined with the numerical simulation of both hydrophilic and hydrophobic specimens clariˆes the governing factors to determine capillarity in the granular materials and provides insight into the phenomenological observation of capillary pressure for unsaturated soils.

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A physical model for liquid capillary bridges between adsorptive solid spheres: The nodoid of plateau

Cited by 108 publications

References 4 publications

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

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

On the Adhesion between Fine Particles and Nanocontacts: An Atomic Force Microscope Study

Capillary Induced Small-Strain Stiffness for Hydrophilic and Hydrophobic Granular Materials: Experimental and Numerical Studies

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