Capillary bridges between spherical particles under suction control: Rupture distances and capillary forces

Zhao, Chao-Fa; Kruyt, Nicolaas P.; Millet, Olivier

doi:10.1016/j.powtec.2019.09.093

Cited by 20 publications

(9 citation statements)

References 49 publications

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“…No particular form of its rupture or vanishing has been observed. A study of the rupture of pendular bridges between spherical glass grains identifies four subsequent instabilities of different nature (Mielniczuk, El Youssoufi, et al., 2014; Mielniczuk et al., 2015 and Zhao et al., 2020).…”

Section: Data Findings and Their Contextmentioning

confidence: 99%

Capillary Water in 2‐D Drying‐Cracking Soil Sub‐Grain Models: Morphology and Kinematics of Evaporation and Haines Jumps

Mielniczuk

Hueckel

2022

Water Resources Research

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This paper addresses certain key elements of drying-cracking process of initially wet granular materials. Drying is understood here as a series of various processes driven by but not necessarily limited to pore water evaporation. The paper focuses on one possible mechanism of drying cracking onset resulting from instability episodes referred to in soil physics and soil mechanics as "air entry." It has been shown in the past that the onset of drying-cracking correlates with the first air entry that is recognized as instability of the meniscus and the corresponding adhesion force value jump occurring at the start of desaturation (Haines, 1928;Scherer, 1992). Finally, the energy released during the individual unstable force jumps is believed to be transmitted to deform the solid skeleton and partially dissipate during the macroscopic process of cracking (

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Section: Data Findings and Their Contextmentioning

confidence: 99%

Capillary Water in 2‐D Drying‐Cracking Soil Sub‐Grain Models: Morphology and Kinematics of Evaporation and Haines Jumps

Mielniczuk

Hueckel

2022

Water Resources Research

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“…The first one is based on the integration of the liquid bridge profile with the Laplace–Young equation, while the second approach relies on the total energy of the liquid bridge. , Due to the simplicity of calculation, the energy approach gets more attention. The usual way to model the capillary force in this approach is a simplification of hydrostatic pressure across the liquid–air interface and subsequently exploits a gorge, circular, parabolic, and toroidal approximation. However, the main limitations of these methods are assumptions or approximations of the bridge profile including distance, volume, and embracing angle.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Analysis of the Capillary Force for Interactions of Different Tip/Substrate in AFM Based on the Energy Method

Payam

2023

ACS Meas. Sci. Au

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This paper presents a simple and robust model to describe the wet adhesion of the AFM tip and substrate joined by a liquid bridge. The effects of contact angles, wetting circle radius, the volume of a liquid bridge, the gap between the AFM tip and substrate, environmental humidity, and tip geometry on the capillary force are studied. To model capillary forces, while a circular approximation for the meniscus of the bridge is assumed, the combination of the capillary adhesion due to the pressure difference across the free surface and the vertical component of the surface tension forces acting tangentially to the interface along the contact line is utilized. Finally, the validity of the proposed theoretical model is verified using numerical analysis and available experimental measurements. The results of this study can provide a basis to model the hydrophobic and hydrophilic tip/surfaces and study their effect on adhesion force between the AFM tip and the substrate.

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“…For continuum models for predictions to be conceivable we need a capability (upscaling) of data assimilation from the micro‐scale, as well as accounting for a deformable pore space, including a progress on evaporating menisci and contact angles for unequal grain systems (see e.g., Hu et al., 2013a, 2013b; C.‐F. Zhao et al., 2020).…”

Section: Resultsmentioning

confidence: 99%

“…This criterion can be considered predictive, but to a limited degree, as we can follow (experimentally, but only in 2D case) the evolution of the meniscus diameter at the micro-scale. For continuum models for predictions to be conceivable we need a capability (upscaling) of data assimilation from the micro-scale, as well as accounting for a deformable pore space, including a progress on evaporating menisci and contact angles for unequal grain systems (see e.g., Hu et al, 2013aHu et al, , 2013bC.-F. Zhao et al, 2020). Scherer and Smith (1995) advanced a numerically analogous to Equation 1, but conceptually different, criterion of air entry interpreted as a fluid cavitation criterion.…”

Section: Conditions and Criteria For The Loss Of Stabilitymentioning

confidence: 99%

Capillary Water in 2‐D Drying—Cracking Sub‐Grain Scale Soil Models: Dynamics and Instabilities of Haines Jumps

Hueckel

Mielniczuk

Alexandre

et al. 2022

Water Resources Research

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Changes in capillary water morphology in a cluster of three wet long cylindrical grains as reported in Mielniczuk and Hueckel (2022, https://doi.org/10.1029/2022wr031938) affect capillary forces evolving during drying. The paper focuses on a stable motion of menisci (air/liquid interfaces) and their unstable (Haines) jumps. The meniscus instabilities were shown in the past to be a trigger of soil drying‐cracking. The forces considered are Laplace pressure and surface tension resultants deduced from the menisci imaged every 10 s. The Laplace pressure for cylindrical clusters depends on a single curvature of the meniscus. Several known criteria the capillary body instability are examined using the experimental data. An extended Gibbs criterion points to a source of the instability. The instability is lost when the meniscus approaches the throat between the grains and when the balance is lost between the changes of forces of the Laplace pressure and of the surface tension acting at the meniscus. The presence of the surface tension forces in the instability considerations in addition to the Laplace pressure distinguishes Gibbs criterion from other criteria. Gibbs meniscus energy estimate also provides an inertia force arising to maintain the linear momentum balance for the meniscus, and a duration of the jump.

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Capillary bridges between spherical particles under suction control: Rupture distances and capillary forces

Cited by 20 publications

References 49 publications

Capillary Water in 2‐D Drying‐Cracking Soil Sub‐Grain Models: Morphology and Kinematics of Evaporation and Haines Jumps

Capillary Water in 2‐D Drying‐Cracking Soil Sub‐Grain Models: Morphology and Kinematics of Evaporation and Haines Jumps

Modeling and Analysis of the Capillary Force for Interactions of Different Tip/Substrate in AFM Based on the Energy Method

Capillary Water in 2‐D Drying—Cracking Sub‐Grain Scale Soil Models: Dynamics and Instabilities of Haines Jumps

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