Pendular bond strength between unequal-sized spherical particles

Mehrotra, V.P.; Sastry, K.V.S.

doi:10.1016/0032-5910(80)87031-8

Cited by 89 publications

(38 citation statements)

References 20 publications

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“…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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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: 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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“…In our situation, we have chosen to use simple approximations of the bridge profile in order to derive parameters such as the rupture distance, postrupture liquid distribution and apparent contact angles. We will consider a toroidal approximation of the bridge profile, which has been used in the past by many workers (4,21,22) and a novel parabolic profile.…”

Section: Energy Stored In Liquid Bridges During Elongationmentioning

confidence: 99%

Modeling the Evolution and Rupture of Pendular Liquid Bridges in the Presence of Large Wetting Hysteresis

Pépin

Rossetti

Iveson

et al. 2000

Journal of Colloid and Interface Science

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“…For a rotational symmetric geometry the meniscus force is [120] (for an overview see refs. [130], [131] )…”

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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Pendular bond strength between unequal-sized spherical particles

Cited by 89 publications

References 20 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

Modeling the Evolution and Rupture of Pendular Liquid Bridges in the Presence of Large Wetting Hysteresis

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

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