Droplet impact onto an elastic plate: a new mechanism for splashing

Pegg, Michael J.; Purvis, Richard; Korobkin, A.A.

doi:10.1017/jfm.2018.60

Cited by 42 publications

(43 citation statements)

References 35 publications

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“…The outcomes of a droplet impact on solid surfaces, such as deposition, rebounding, splashing, depend on both the micro/nanostructures and chemical property of the solid. Diverse strategies have been exploited by nature as well as artificial materials to regulate the droplet impact processes as well as the subsequent droplet motions 10–13 . For example, various superhydrophobic surfaces are fabricated to accelerate the droplet bouncing off solids after impact 14–16 ; topological heterogeneity is utilized for directional transportation of impacting droplets 17,18 .…”

Section: Introductionmentioning

confidence: 99%

Spontaneous droplets gyrating via asymmetric self-splitting on heterogeneous surfaces

et al. 2019

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Droplet impacting and bouncing off solid surface plays a vital role in various biological/physiological processes and engineering applications. However, due to a lack of accurate control of force transmission, the maneuver of the droplet movement and energy conversion is rather primitive. Here we show that the translational motion of an impacting droplet can be converted to gyration, with a maximum rotational speed exceeding 7300 revolutions per minute, through heterogeneous surface wettability regulation. The gyration behavior is enabled by the synergetic effect of the asymmetric pinning forces originated from surface heterogeneity and the excess surface energy of the spreading droplet after impact. The findings open a promising avenue for delicate control of liquid motion as well as actuating of solids.

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Section: Introductionmentioning

confidence: 99%

Spontaneous droplets gyrating via asymmetric self-splitting on heterogeneous surfaces

et al. 2019

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“…The solution of the hydrodynamic problem (4.1)-(4.3) is given by (4.19) see Appendix A in Korobkin & Scolan (2006). It is convenient to introduce the functions Q n (x) and the coefficients W nk by (4.20) see equations (3.19) and (3.37) in Pegg et al (2018). In particular, Q 0 (x) = √ 2.…”

Section: Formulation Of the Axisymmetric Exit Problem And Its Solutionmentioning

confidence: 99%

“…In particular, Q 0 (x) = √ 2. The functions Q n (x) and the coefficients W nk are expressed through the Bessel, trigonometric and hyperbolic functions similar to those in Pegg et al (2018), Appendixes B and C, where the corresponding integrals were evaluated for a simply supported circular elastic disc.…”

Section: Formulation Of the Axisymmetric Exit Problem And Its Solutionmentioning

confidence: 99%

Hydroelastic effects during the fast lifting of a disc from a water surface

et al. 2019

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Here we report the results of an experimental study where we measure the hydrodynamic force acting on a plate which is lifted from a water surface, suddently starting to move upwards with an acceleration much larger than gravity. Our work focuses on the early stage of the plate motion, when the hydrodynamic suction forces due to the liquid inertia are the most relevant ones. Besides the force, we measure as well the acceleration at the center of the plate and the time evolution of the wetted area. The results of this study show that, at very early stages, the hydrodynamic force can be estimated by a simple extension to the linear exit theory by Korobkin (2013), which incorporates an added mass to the body dynamics. However, at longer times, the measured acceleration decays even though the applied external force continues to increase. Moreover, high-speed recordings of the disc displacement and the radius of the wetted area reveal that the latter does not change before the disc acceleration reaches its maximum value. We show in this paper that these phenomena are caused by the elastic deflection of the disc during the initial transient stage of water exit. We present a linearised model of water exit that accounts for the elastic behaviour of the lifted body. The results obtained with this new model agree fairly well with the experimental results.

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“…One of the earliest models investigated a droplet impacting onto an elastic halfspace by imposing a constant uniform pressure over a circle whose radius increased in proportion to the square root of time [35]. The full hydroelastic problem of the impact of a two-dimensional wave onto an Euler-Bernoulli beam has previously been studied using Wagner theory [36], and more recently this analytical model has been extended to study the axisymmetric impact of a droplet onto an elastic plate, where the elastic plate has a radius much smaller than the droplet and its deflection governed by thin-plate theory [37]. A thorough parameter study was conducted for different types of plate, and regimes where the elasticity of the plate could cause splashing of the droplet at early times, defined as the detachment of the splash sheet from the surface of the plate, have been identified.…”

Section: Introductionmentioning

confidence: 99%

Droplet impact onto a spring-supported plate: analysis and simulations

et al. 2021

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The high-speed impact of a droplet onto a flexible substrate is a highly non-linear process of practical importance, which poses formidable modelling challenges in the context of fluid–structure interaction. We present two approaches aimed at investigating the canonical system of a droplet impacting onto a rigid plate supported by a spring and a dashpot: matched asymptotic expansions and direct numerical simulation (DNS). In the former, we derive a generalisation of inviscid Wagner theory to approximate the flow behaviour during the early stages of the impact. In the latter, we perform detailed DNS designed to validate the analytical framework, as well as provide insight into later times beyond the reach of the proposed analytical model. Drawing from both methods, we observe the strong influence that the mass of the plate, resistance of the dashpot, and stiffness of the spring have on the motion of the solid, which undergo forced damped oscillations. Furthermore, we examine how the plate motion affects the dynamics of the droplet, predominantly through altering its internal hydrodynamic pressure distribution. We build on the interplay between these techniques, demonstrating that a hybrid approach leads to improved model and computational development, as well as result interpretation, across multiple length and time scales.

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Droplet impact onto an elastic plate: a new mechanism for splashing

Cited by 42 publications

References 35 publications

Spontaneous droplets gyrating via asymmetric self-splitting on heterogeneous surfaces

Spontaneous droplets gyrating via asymmetric self-splitting on heterogeneous surfaces

Hydroelastic effects during the fast lifting of a disc from a water surface

Droplet impact onto a spring-supported plate: analysis and simulations

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