Experimental analysis of stability limits of capillary liquid bridges

Bezdenejnykh, N. A.; Meseguer, José; Perales, José Manuel Perales

doi:10.1063/1.858286

Cited by 38 publications

(29 citation statements)

References 11 publications

(5 reference statements)

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“…They showed that above (below) the slenderness Λ ≃ 0.4946, liquid bridges continuously (abruptly) bulge into a non-axisymmetric shape. Other studies considered the effect of gravity on the stability limits of axisymmetric 29 and non-axisymmetric liquid bridges 30 between equal discs. Emphasizing the destabilizing effect of gravity on nearly cylindrical liquid bridges, Lowry and Steen 31 experimentally demonstrated that subjecting liquid bridges to an external laminar flow suppresses interfacial disturbances, thereby stretching the stability limit beyond that of static bridges.…”

Section: Introductionmentioning

confidence: 99%

Liquid-bridge stability and breakup on surfaces with contact-angle hysteresis

Akbari

Hill

2016

Soft Matter

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We study the stability and breakup of liquid bridges with a free contact line on surfaces with contact-angle hysteresis (CAH) under zero-gravity conditions. Non-ideal surfaces exhibit CAH because of surface imperfections, by which the constraints on three-phase contact lines are influenced. Given that interfacial instabilities are constraintsensitive, understanding how CAH affects the stability and breakup of liquid bridges is crucial for predicting the drop size in contact-drop dispensing. Unlike ideal surfaces on which contact lines are always free irrespective of surface wettability, contact lines may undergo transitions from pinned to free and vice-versa during drop deposition on non-ideal surfaces. Here, we experimentally and theoretically examine how stability and breakup are affected by CAH, highlighting cases where stability is lost during a transition from a pinned-pinned (more constrained) to pinned-free (less constrained) interface-rather than a critical state. This provides a practical means of expediting or delaying stability loss. We also demonstrate how the dynamic contact angle can control the contact-line radius following stability loss. *

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Section: Introductionmentioning

confidence: 99%

Liquid-bridge stability and breakup on surfaces with contact-angle hysteresis

Akbari

Hill

2016

Soft Matter

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“…11 The impact of axial stretching on the stability of a liquid ligament has also a long history, 12,13 the lesson being that instability is suppressed as soon as the stretching rate overcomes the capillary instability rate based on the current ligament radius. 7,9,14,15 When formed by the rapid extension of a liquid bridge (a volume of liquid held by surface tension on supporting solid rods [16][17][18][19] ), the ligament linking the distant pulling supports thus breaks up at its extremities, 20 and does so first in the region close to the solid where stretching vanishes. 8,9,21 (This is almost always true: the breakup can occur in other places for low stretching speeds.)…”

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confidence: 99%

Remnants from fast liquid withdrawal

2014

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International audienceWe study the breakup of an axisymmetric low viscosity liquid volume ( ethanol and water), held by surface tension on supporting rods, when subject to a vigorous axial stretching. One of the rods is promptly set into a fast axial motion, either with constant acceleration, or constant velocity, and we aim at describing the remnant mass m adhering to it. A thin ligament is withdrawn from the initial liquid volume, which eventually breaks up at time t(b). We find that the breakup time and entrained mass are related by t(b) similar to root m/sigma, where sigma is the liquid surface tension. For a constant acceleration gamma, and although the overall process is driven by surface tension, t(b) is found to be independent of sigma, while m is inversely proportional to gamma. We measure and derive the corresponding scaling laws in the case of constant velocity too. (C) 2014 AIP Publishing LLC

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“…The theoretical predictions mentioned above have been corroborated by experiments, either on board of space laboratories (where residual gravity is much smaller) or on ground; in the latter case, both Plateau baths and microzones [12][13][14] (the Rayleigh limit; see Sanz,Higuera et al,' and Nicolás and Vega 36 ) or are based on one-dimensional approximations, such as the so-called Cosserat model.…”

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confidence: 68%

One-dimensional dynamics of nearly unstable axisymmetric liquid bridges

Perales

Vega

2010

Physics of Fluids

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A general one-dimensional model is considered that describes the dynamics of slender, axisymmetric, noncylindrical liquid bridges between two equal disks. Such model depends on two adjustable parameters and includes as particular cases the standard Lee and Cosserat models. For slender liquid bridges, the model provides sufficiently accurate results and involves much easier and faster calculations than the full three-dimensional model. In particular, viscous effects are easily accounted for. The one-dimensional model is used to derive a simple weakly nonlinear description of the dynamics near the instability limit. Small perturbations of marginal instability conditions are also considered that account for volume perturbations, nonequality of the supporting disks, and axial gravity. The analysis shows that the dynamics breaks the reflection symmetry on the midplane between the supporting disks. The weakly nonlinear evolution of the amplitude of the perturbaüon is given by a Duffing equation, whose coefficients are calculated in terms of the slenderness as a part of the analysis and exhibit a weak dependence on the adjustable parameters of the one-dimensional model. The amplitude equation is used to make quantitative predictions of both the (first stage of) breakage for unstable configurations and the (slow) dynamics for stable configurations.

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Experimental analysis of stability limits of capillary liquid bridges

Cited by 38 publications

References 11 publications

Liquid-bridge stability and breakup on surfaces with contact-angle hysteresis

Liquid-bridge stability and breakup on surfaces with contact-angle hysteresis

Remnants from fast liquid withdrawal

One-dimensional dynamics of nearly unstable axisymmetric liquid bridges

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