Shape and force analysis of capillary bridge between two slender structured surfaces

Zhu, Zhaofei; Jia, Junxiu; Fu, Heng Zhi; Chen, Y. L.; Zeng, Zezhi; Yu, Dong-Ok

doi:10.5194/ms-6-211-2015

Cited by 7 publications

(5 citation statements)

References 29 publications

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“…Hu et al referred to the liquid film in the hole as a confined free film. Although this film had two free surfaces, the motion state was constrained by the solid wall boundary around the hole, which should be considered as a special type of liquid bridge. − The stable in-hole liquid bridge is a critical premise for film coverage on the surface of packings because wet holes can accelerate diffusion and impede the retraction of the liquid film, thereby enhancing mass-transfer performance. − Therefore, understanding the formation and rupture mechanisms of in-hole liquid films is particularly important. However, there are few reports on this aspect.…”

Section: Introductionmentioning

confidence: 99%

Liquid-Film Formation in a Hole under the Effect of Gravity

Liu

Zhu

et al. 2022

Ind. Eng. Chem. Res.

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Packing towers are widely applied in several fields associated with heat or mass transfer. Experiments have suggested that perforated packings demonstrate good performance. To elucidate the liquid wetting mechanism on perforated packing surfaces, the liquid film in a hole has been focused on in this study. The three-dimensional model of a static liquid-film shape in a hole is established based on the discrete form of the Young−Laplace equation, which is solved using the Broyden method under certain conditions (hole diameter, depth, and liquid volume). Furthermore, the critical minimum droplet volume for film formation is derived. To determine the hole parameters required for the formation of the liquid film, theoretical structural conditions with and without a solution are identified based on the numerical resolution corresponding to film formation and rupture, respectively. The results are verified via in-hole liquid-film experiments. Finally, a dimensionless theoretical model and its results are obtained.

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Section: Introductionmentioning

confidence: 99%

Liquid-Film Formation in a Hole under the Effect of Gravity

Liu

Zhu

et al. 2022

Ind. Eng. Chem. Res.

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“…Several studies have considered the contribution of the wetting and shape of an axisymmetric liquid bridge formed across two flat surfaces (Evans et al, 1986;Swain and Lipowsky, 2000;Valencia et al, 2001;Peng and Li, 2007;Broesch and Frechette, 2012;Broesch et al, 2013;Zhu et al, 2015). For instance, Swain and Lipowski (2000) investigated wetting phenomena occurring between one pair of opposite stripes.…”

Section: Introductionmentioning

confidence: 99%

“…The experimental results reported in their paper showed that the pinning angle was closely related to the volume. Zhu et al (2015) solved differential equations which clarify the relation between capillary forces and the Laplace pressure of the capillary bridge as a function of the shape during the bridge stretching process. However, their simulation results have not been experimentally verified.…”

Section: Introductionmentioning

confidence: 99%

“…Previous studies aimed at predicting morphology and capillary forces generated by liquid bridges via surface evolver simulations (Broesch and Frechette, 2012;Broesch et al, 2013;Zhu et al, 2015;Peng and Li, 2007;Petkov and Radoev, 2014;Princen, 1970). However, few theoretical calculation methods are available to describe the liquid bridges between two slits since the analytical description of the menisci at the two terminals remains challenging.…”

Section: Introductionmentioning

confidence: 99%

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Liquid bridge in slit pore geometry

Hu¹,

Wu²,

Bai³

et al. 2020

Journal of Theoretical and Applied Mechanics

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In this work, the morphology of a liquid bridge in a slit pore geometry was investigated as a function of both the bridge height and aspect ratio (height/width). The end contour interface of the liquid bridge was modeled by using a saddle shape, and the liquid-air interface was described via an arc of a circle. By employing the free energy approach, a simple formula was obtained to predict variation of the pinning angle as a function of the distance between the slits. The pinning angle depended on the liquid volume and on both the wetting properties and the geometry of the system (height and width). The critical aspect ratio at which the liquid bridge meniscus transitioned from concave to convex was determined. The calculations were in good agreement with the experimental data. The morphology of the liquid bridges in a slit pore geometry can be used in various fields such as the packaging of electronic and micro-electromechanical systems.

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“…Broesch and Frechette [6] simulated the liquid bridges confined within a slit pore of variable height. Zhu et al [7] studied the relation between the capillary forces and the Laplace pressure of the capillary bridge as a function of the shape during the bridge stretching process. Xiao et al [8] formulated a capillary force model that is applicable to both convex and concave liquid bridges when an upper sphere was lifted until the liquid bridge ruptured.…”

Section: Introductionmentioning

confidence: 99%

Predictions of criticality in inverted water columns

Bai

Yang

et al. 2020

Eur. J. Phys.

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Columns of water in inverted containers, such as upside-down glasses of water, are classic phenomena that demonstrate the effects of atmospheric pressure. This paper presents an analytical method to explore the role of liquid bridges and the associated capillary forces in the equilibrium condition and the criticality of water columns held in inverted containers by a cover sheet. This method has been validated by comparing with experimental data and previous methods. Furthermore, we found that the cover sheet was not separated from the water column, but instead fell together with it, during the drop. The analytical calculation shows that the water is prone to flow out with the glass half full of water, and the cover sheet is prone to attach to a wider or a shorter glass. Furthermore, we found the conditions for pressure balance of the cover sheet and of the water column are different. The cover sheet does not fall down due to differences in pressure between the upper and lower surfaces. The static balance of the water column in the glass is dependent on balancing the additional pressure due to the surface tension of the water.

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Shape and force analysis of capillary bridge between two slender structured surfaces

Cited by 7 publications

References 29 publications

Liquid-Film Formation in a Hole under the Effect of Gravity

Liquid-Film Formation in a Hole under the Effect of Gravity

Liquid bridge in slit pore geometry

Predictions of criticality in inverted water columns

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