Dynamic arrest during the spreading of a yield stress fluid drop

Martouzet, Grégoire; Jørgensen, Loren; Pelet, Yoann; Biance, Anne‐Laure; Barentin, Catherine

doi:10.1103/physrevfluids.6.044006

Cited by 18 publications

(31 citation statements)

References 33 publications

(53 reference statements)

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“…When yield-stress drops spread on substrates, spreading arrests before drops minimize their surface energy as by the Young-Dupré equation σ cos(α) = σ SV − σ SL [1]. Therefore for our experiments, the smallest obtainable initial coalescence angles α we expect are 6.5 • to 34 • , for τ y = 2 Pa and 50 Pa, respectively [1,2,31]. Slides were plasma cleaned before each set of experiments to maintain a low substrate surface energy, thereby minimizing α.…”

mentioning

confidence: 71%

“…They allow us to squeeze toothpaste from tubes, lay mortar for bricks, plaster walls and even paint. Much focus has been spent on yield-stress flows, with a growing interest in capillary flows such as surface spreading for inkjet printing and spray coating [1][2][3][4][5], viscous fingering [6], and the adhesion of pastes [7].…”

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confidence: 99%

“…For consistency of comparison to viscous coalescence, only relatively spherical-cap shaped pre-coalescence sessile drops with aspect ratios a/h drop > 1.5, and α < 45 • were considered. To minimize deviations from the spherical-cap shape, drops with footprints a < 1 mm were preferred [2]. When yield-stress drops spread on substrates, spreading arrests before drops minimize their surface energy as by the Young-Dupré equation σ cos(α) = σ SV − σ SL [1].…”

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confidence: 99%

“…Here only experiments where drops were reasonably spherical-cap shaped were considered. These conditions, however, only represent a small set of cases for the coalescence of sessile yield-stress drops that can easily adopt highly non-spherical cap shapes [2]. It would then be interesting for future study to include drops with highly non-uniform initial liquid/gas interfacial curvatures and potentially larger initial coalescence angles α.…”

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confidence: 99%

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Viscoplastic sessile drop coalescence

Kern¹,

Sæter²,

Carlson³

2022

Preprint

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The evolution of the liquid bridge formed between two coalescing sessile yield-stress drops is studied experimentally. We find that the height of the bridge evolves similar to a viscous Newtonian fluid, h0 ∼ t, before arresting at long time prior to minimizing its liquid/gas interfacial energy. We numerically solve for the final arrested profile shape and find it depends on the fluid's yield stress τy and coalescence angle α, represented by the Bingham number τyh drop /σ modified by the drop's height-width aspect ratio. We present a scaling argument for the bridge's temporal evolution using the length scale found from an analysis of the arrested shape as well as from the similarity solution derived for the bridge's evolution.

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confidence: 71%

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Viscoplastic sessile drop coalescence

Kern¹,

Sæter²,

Carlson³

2022

Preprint

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“…The presence of polymer renders the viscosity of the liquid shear rate dependent and elastic polymer flow interactions can take place. 30,31 Further experiments using Carbopol solutions are intended to examine how yield stress fluids affect the spreading 32,33 .…”

Section: Methodsmentioning

confidence: 99%

Universal aspects of droplet spreading dynamics in Newtonian and non-Newtonian Fluids

Gorin¹,

Kellay²,

Bonn³

2022

Preprint

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Droplet impacts are common in many applications such as coating, spraying, or printing; understanding how droplets spread after impact is thus of utmost importance.Such impacts may occur with different velocities on a variety of substrates. The fluids may also be non-Newtonian and thus possess different rheological properties. How the different properties such as surface roughness and wettability, droplet viscosity and rheology as well as interfacial properties affect the spreading dynamics of the droplets and the eventual drop size after impact are unresolved questions.Most recent work focuses on the maximum spreading diameter after impact and uses scaling laws to predict this. In this paper we show that a proper rescaling of the spreading dynamics with the maximum radius attained by the drop, and the impact velocity leads to a unique single and thus universal curve for the variation of diameter 1 versus time. The validity of this universal functional shape is validated for different liquids with different rheological properties as well as substrates with different wettabilities. This universal function agrees with a recent model that proposes a closed set of differential equations for the spreading dynamics of droplets.

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