Inside rod induced horizontal capillary emptying

Zhou, Xinping; Zhang, Gang; Zhu, Chengwei; Tan, Ding-Yin; Fu, Chenyu

doi:10.1017/jfm.2021.634

Cited by 2 publications

(25 citation statements)

References 17 publications

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“…In this paper, we take a horizontal tube structure with a rod inserted eccentrically into a circular tube as an example to answer the above questions. We extend the research of Zhou et al (2021) to the effect of eccentricity on the emptying conditions of a horizontal annular capillary, observe new phenomena that have not been reported in a horizontal open (Manning et al 2011;Manning & Collicott 2015;Rascón et al 2016;Zhu et al 2020) or concentric annular tube (Zhou et al 2021) or in an eccentric annular tube in zero gravity (Smedley 1990;Pour & Thiessen 2019) and find greater emptying capacity than in Zhou et al (2021) to a large extent. In § 2, the mathematical model for a tube with a general cross-section of irregular geometry (e.g.…”

Section: Introductionsupporting

confidence: 57%

“…(2.5) where θ is the eccentric angle. For the concentricity case and the horizontal eccentricity case, the centroid of the annulus just lies on the x axis, and λ is reduced to (Zhou et al 2021)…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The characteristic lengths of capillaries corresponding to the critical Bond numbers during investigation of the problem are mainly of millimetre or micrometre (see Parry et al 2012) sizes. From the theory in a transverse body force field (Manning et al 2011;Manning & Collicott 2015;Rascón et al 2016;Zhu et al 2020;Zhou et al 2021) developed from the theory in microgravity (Concus & Finn 1969;Finn 1986), the critical Bond number can be obtained at a given contact angle.…”

Section: Introductionmentioning

confidence: 99%

“…Instead, a simple possible measure should be sought. In this situation, the idea of using an eccentrically positioned rod to avoid liquid plugs in zero gravity was proposed by Smedley (1990) and Pour & Thiessen (2019); Zhou et al (2021) found that the insertion of a rod at the centre of a horizontal liquid-plugged tube in a downward gravity field may help to remove liquid plugs from the tube.…”

Section: Introductionmentioning

confidence: 99%

“…Verma et al (2020) conducted experimental research on the generalized emptying criteria for finite-length capillaries by taking the contact line pinning at the sharp edge into consideration, and their experiment properly validates the theoretical conclusion that a different bottom contact angle from the top contact angle can cause the critical Bond number to vary (Parry et al 2012;Zhu et al 2020). Zhou et al (2021) performed an experimental study to validate their theoretical finding that the insertion of a rod into a tube at its centre helps to remove liquid occlusion.…”

Section: Introductionmentioning

confidence: 99%

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Eccentricity effect on horizontal capillary emptying

Tan

Zhou²,

Zhang³

et al. 2022

J. Fluid Mech.

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This paper theoretically studies the effect of eccentricity on the conditions of capillary emptying (determined by critical Bond number) in a horizontal annular tube in a downward gravity field. Experiments are conducted to compare with theoretical results. We find that non-horizontal eccentricity can lead to the occurrence of a re-entrant liquid-state transition (from liquid non-occlusion to liquid plug to liquid non-occlusion) with increasing Bond number, when the eccentricity (e) or inner-to-outer radius ratio (χ) is large enough, and the two liquid non-occlusion states correspond to different emptying mechanisms dominated by the gravity effect and the ‘wedge’ effect, respectively. Existence of the re-entrant transition is accompanied by occurrence of unconditional liquid non-occlusion at large enough or small enough contact angles regardless of Bond numbers. The critical Bond numbers at a contact angle γ for vertical upward eccentricity are equal to those at a contact angle 180° − γ for vertical downward eccentricity. In a parameter space (γ, e/(1 − χ)), the region with the re-entrant transition becomes larger with the eccentric angle varying from 0° (horizontal) to 90° (vertical). Optimization of geometrical parameters and inner and outer contact angles can lead to better effect of capillary emptying. This paper provides a very effective scheme for removing a liquid blockage from a capillary in optofluidics/microfluidics.

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Section: Introductionsupporting

confidence: 57%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Eccentricity effect on horizontal capillary emptying

Tan

Zhou²,

Zhang³

et al. 2022

J. Fluid Mech.

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Rounded-corners-induced re-entrant non-occlusion in a horizontal tube

Tan,

Zhou

2024

J. Fluid Mech.

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Keeping a tube from being plugged by a fluid is an important process in applications. An interesting re-entrant phenomenon for the capillary state with the occluding state sandwiching the non-occluding state from both the high- and low-Bond-number regions can appear by inserting a rod into a horizontal tube at an eccentric position (Tan et al., J. Fluid Mech, vol. 946, 2022, A7). Containers with rounded corners are very common. We theoretically investigate a situation for a horizontal open tube with rounded corner(s). The results show that a re-entrant non-occlusion at a contact angle can also appear without the insertion of any object. The competition between the rounded corner wetting/non-wetting effect and gravity effect can lead to a re-entrant non-occlusion. The re-entrant non-occlusion is affected by the shape and orientation of the rounded corner(s). For a tube with only one rounded corner, the re-entrant non-occlusion exists when the rounded corner has a not-so-large corner radius and is not in a landscape orientation. For a tube with two (or more) rounded corners, the corner(s) with the strongest corner effect will determine the existence or non-existence of the re-entrant non-occlusion. This paper provides an effective scheme for designing a high-performance capillary with corners that are not easily occluded by a fluid and removing fluid blockage from a capillary in optofluidic/microfluidic applications.

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Inside rod induced horizontal capillary emptying

Abstract: Abstract

Cited by 2 publications

References 17 publications

Eccentricity effect on horizontal capillary emptying

Eccentricity effect on horizontal capillary emptying

Rounded-corners-induced re-entrant non-occlusion in a horizontal tube

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