Capillary rivulet rise in real-world corners

Gerlach, Felix; Hussong, Jeanette; Roisman, Ilia V.

doi:10.1016/j.colsurfa.2020.124530

Cited by 13 publications

(13 citation statements)

References 12 publications

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“…2006; Gerlach et al. 2020), the good agreement observed here suggests that the corner curvature does not play a significant role in our experiments. Second, although the lubrication-theory-based model overpredicts the meniscus position for mineral oil (figure 9 d ), it accurately predicts the finger length (figure 11) which is the difference between the positions of the meniscus and finger tip (4.3).…”

Section: Resultssupporting

confidence: 87%

Capillary-flow dynamics in open rectangular microchannels

et al. 2021

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Section: Resultssupporting

confidence: 87%

Capillary-flow dynamics in open rectangular microchannels

et al. 2021

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“…The impact of this ratio was also observed in stationary solution of the corner rise in the literature, and a similar conclusion was made. 39 , 51 …”

Section: Resultsmentioning

confidence: 99%

“…Another way of validating our geometrical formulations is through a comparison with a recently published paper by Gerlach et al (2020) that describes a stationary solution for the rivulet rise in a rounded corner square capillary tube. 51 The stationary solution proposed by Gerlach et al (2020) is as follows where R w is the radius of curvature of the wetting liquid on the wall at the corner region.…”

Section: Model Validationmentioning

confidence: 99%

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Modeling Approach to Determine Static Rivulet Height in Regular Polygonal Capillary Tubes

et al. 2022

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The rise of partially wetting liquids along the corners of noncircular capillary tubes is observed in many practical science and engineering applications such as wastewater treatment using membranes, remediation, oil recovery from petroleum reservoirs, and blood flow. In this paper, rivulet rise at the corners of polygonal capillary tubes is studied for partially wetting liquids with contact angles below the critical value. The presence of corners changes the distribution of a liquid in an incomplete wetting condition. In this study, geometrical models are proposed to better understand the capillary rise and flow behavior at the corners. A geometrical solution for the capillary rivulet height and profile is derived under gravity in triangular, square, and pentagonal capillary tubes. The effects of several factors including contact angle, number of polygon sides, and liquid properties on the capillary rivulet height are examined. It was found that the ratio of liquid surface tension to density directly affects the corner rise, while it has an inverse relationship with other factors. The maximum rivulet height of 91.6 mm is obtained in the triangular capillary tube with a side length of 1 mm and a contact angle of 30° for polydimethylsiloxane (PDMS-20)-air fluid pair. The minimum capillary rivulet height of 6.2 mm, on the other hand, is achieved in the pentagonal capillary tube, with a side length of 3 mm and a contact angle of 30°. To validate the developed analytical approach, comparisons are made between the model results, literature predictions, and experimental data. In addition, the geometrical model for a square capillary tube is compared with previous published studies, revealing a good agreement. This study provides quantitative results for the influence of capillary tube shape on the flow behavior of fluids in noncircular tubes that can be useful for control and optimization of transport phenomena in corresponding systems.

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“…The predicted infinite rise of the rivulet is obviously caused by infinite curvature of the corner, which is not the case for real systems [28]. Only recently, Gerlach et al [29] showed that in the real systems, the finite curvature, determined by the manufacturing process, allows the spreading rivulet to stop.…”

Section: Introductionmentioning

confidence: 96%

Edge Wetting: Steady State of Rivulets in Wedges

Kubochkin,

Gambaryan-Roisman

2022

Preprint

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The geometry of rough, textured, fractured and porous media is topologically complicated. Those media are commonly represented by bundles of capillary tubes when modeled. However, angle-containing geometries can serve as a more realistic portrayal of their inner structure. A basic element abidingly inherent to all of them is an open wedge-like channel. The classical theory of capillarity ignoring intermolecular interactions implies that liquid entering the wedge must propagate indefinitely along its spine when the liquid-gas interface is concave. The latter is well-known as a Concus-Finn condition. In the present paper, we show that steady-state rivulets violating Concus-Finn condition can be formed in such channels when the surface forces are taken into account. We present a simple model based on the disjoining pressure approach and analyze the shape of the rivulets in the wedges. Besides, we consider a case when the walls of the wedge are soft and can be deformed by the liquid.

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Capillary rivulet rise in real-world corners

Cited by 13 publications

References 12 publications

Capillary-flow dynamics in open rectangular microchannels

Capillary-flow dynamics in open rectangular microchannels

Modeling Approach to Determine Static Rivulet Height in Regular Polygonal Capillary Tubes

Edge Wetting: Steady State of Rivulets in Wedges

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