Effects of eigen and actual frequencies of soft elastic surfaces on droplet rebound from stationary flexible feather vanes

Zhang, Chengchun; Wu, Zhengyang; Shen, Chun; Zheng, Yihua; Yang, Liang; Liu, Yan; Ren, Luquan

doi:10.1039/d0sm00315h

Cited by 7 publications

(10 citation statements)

References 44 publications

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“…5 is within 10% of the numerical solution up to t ≈ 0.2, in contrast to the force contribution due to the outer region only remains within 10% of the numerical solution up to t ≈ 0.04, which justifies considering the contributions from the inner region in order to extend the timescale in which such analytical models are valid more generally. Previous numerical investigations involving a plate-spring system [34] do not take into account forcing due to damping, and focus on the late-time dynamics of spreading and rebound, whereas we focus on the influence the plate motion has on the delicate early stages of impact in a high-speed context. Finally, the response of an elastic substrate on an impacting droplet has very recently been modelled using an effective boundary condition on the pressure in order to consider a stationary computational domain [8].…”

Section: Summary and Discussionmentioning

confidence: 99%

“…More recently, the impact of droplets in capillary-dominated regimes onto a flexible substrate has been modelled using the Lattice-Boltzmann method [33], focusing on the spreading and rebound of the droplets and how the contact time is affected by the bending stiffness. The late-time spreading and rebound dynamics of an undamped plate-spring system have recently been studied numerically [34], inspired by the feathers of kingfishers. It was found that springs with certain stiffness values can shorten the length of time the droplet is in contact with the substrate, as well as increase the speed the droplet rebounds after impact.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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.

show abstract

Section: Summary and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2021

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show abstract

“…5 is within 10% of the numerical solution up to t ≈ 0.2, in contrast to the force contribution due to the outer region only remains within 10% of the numerical solution up to t ≈ 0.04, which justifies considering the contributions from the inner region in order to extend the timescale in which such analytical models are valid more generally. Previous numerical investigations involving a plate-spring system [45] do not take into account forcing due to damping, and focus on the late-time dynamics of spreading and rebound, whereas we focus on the influence the plate motion has on the delicate early stages of impact in a high-speed context. Finally, the response of an elastic substrate on an impacting droplet has very recently been modelled using an effective boundary condition on the pressure in order to consider a stationary computational domain [13].…”

Section: Summary and Discussionmentioning

confidence: 99%

“…More recently, the impact of droplets in capillary-dominated regimes onto a flexible substrate has been modelled using the Lattice-Boltzmann method [44], focusing on the spreading and rebound of the droplets and how the contact time is affected by the bending stiffness. The late-time spreading and rebound dynamics of an undamped platespring system have recently been studied numerically [45], inspired by the feathers of kingfishers. It was found that springs with certain stiffness values can shorten the length of time the droplet is in contact with the substrate, as well as increase the speed the droplet rebounds after impact.…”

Section: Introductionmentioning

confidence: 99%

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

Negus,

Moore,

Oliver

et al. 2020

Preprint

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The high-speed impact of a droplet onto a flexible substrate is a highly nonlinear 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 mathematical 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 undergoes 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.

show abstract

“…Nevertheless, the surface stiffness is found to enhance superhydrophobicity and reduce ice adhesion under dynamic condition [33,34]. The contact time and heat conduction between the droplet and surface can be reduced when the droplet impacting the elastic membrane at room temperature [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Droplet Impact on the Cold Elastic Superhydrophobic Membrane with Low Ice Adhesion

Qian

2020

Coatings

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The elastic membranes with different surface stiffness were fabricated via spin-coating followed by the laser ablation. The as-fabricated elastic membrane exhibited superhydrophobicity with a rough microstructure. The droplet impacting experiment on the cold elastic superhydrophobic membrane was conducted, and the influence of surface stiffness and impacting speed on the droplet impacting process were investigated. It was found that the elastic superhydrophobic membrane exhibits a robust anti-icing performance compared with the elastic hydrophobic membrane. A lower surface stiffness corresponds to a larger deformation degree of the elastic membrane and to a smaller maximum droplet spreading diameter. Moreover, the contact time decreases with the increase of impacting speed as for the same stiffness of the cold elastic superhydrophobic membrane. The underlying mechanism of the cold elastic membrane with low ice adhesion may be due to the face that the deformation of the superhydrophobic membrane provides an elastic force for the droplet to detach from the surface and thus reduce the heat transfer between the droplet and the surface.

show abstract

Effects of eigen and actual frequencies of soft elastic surfaces on droplet rebound from stationary flexible feather vanes

Abstract: The aim of this paper is to investigate the effect of eigenfrequency and the actual frequency of the elastic surface for droplet rebound.

Cited by 7 publications

References 44 publications

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

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

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

Droplet Impact on the Cold Elastic Superhydrophobic Membrane with Low Ice Adhesion

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