Drop impact on solids: contact-angle hysteresis filters impact energy into modal vibrations

Kern, Vanessa R.; Bostwick, Joshua; Steen, Paul H.

doi:10.1017/jfm.2021.547

Cited by 7 publications

(13 citation statements)

References 91 publications

(168 reference statements)

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“…We treat the impacting event as an inverse problem, reconstructing the impact conditions from the post-impact liquid/gas vibration frequency spectrum and modal energy partitioning. Kern, Bostwick & Steen (2021) have shown recently that for normal drop impact, the drop's liquid/gas interface vibrates in mode shapes predicted for sessile drops (Bostwick & Steen 2014;Chang et al 2015;Steen, Chang & Bostwick 2019). In this paper, we show that the same is true for oblique drop impact.…”

Section: Introductionsupporting

confidence: 69%

“…During normal drop impact, , we have shown that during pinning, the drop vibrates in a linear combination of axisymmetric modes with corresponding frequencies (Kern et al. 2021). Figure 3( a ) shows that for oblique impact, the frequency spectrum consists of both the and modes.…”

Section: Resultsmentioning

confidence: 99%

“…During normal impact, only modes are excited, and the CoM motion is purely in the direction (Kern et al. 2021). For drop impacts with , both (pure motion) and ( and motion) modes are excited, as shown in figure 3( a ).…”

Section: Resultsmentioning

confidence: 99%

“…By analysing the impacting event from an energy perspective, contact-line dissipation during spreading can be calculated via the difference between the pre-impact energy and the pinning energy stored in the liquid/gas oscillations (Kern et al. 2021). This spreading energy is related directly to the contact-line dynamics and the contact-angle hysteresis of the liquid/gas/solid system.…”

Section: Discussionmentioning

confidence: 99%

“…Kern, Bostwick & Steen (2021) have shown recently that for normal drop impact, the drop's liquid/gas interface vibrates in mode shapes predicted for sessile drops (Bostwick & Steen 2014; Chang et al. 2015; Steen, Chang & Bostwick 2019).…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Oblique drop impact: can one infer the angle of impact?

Kern

Jin²,

Bostwick³

et al. 2022

J. Fluid Mech.

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During solid surface impact, a falling drop's energy is transformed into oscillations of its liquid/gas interface. We consider drop deposition during oblique impact in the capillary-ballistic regime characterized by high Reynolds number and moderate Weber number. We treat this as an inverse problem showing that post-impact observations of the frequency spectrum and modal partition of energy allow one to determine a drop's pre-impact characteristics and wetting properties. Our analysis is useful for quantifying contact-line dissipation during inertial spreading and can be used as a diagnostic technique for determining substrate wetting properties.

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Section: Introductionsupporting

confidence: 69%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Oblique drop impact: can one infer the angle of impact?

Kern

Jin²,

Bostwick³

et al. 2022

J. Fluid Mech.

Self Cite

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A numerical study on non-spherical droplet impact with solidification in additive manufacturing

Meng,

Shen

2023

Acta Mech

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On the mechanics of droplet surface crater during impact on immiscible viscous liquid pool

2023

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We study drop impacts on an immiscible viscous liquid pool and investigate the formation of droplet surface craters using experimental and theoretical analyses. We attribute the formation of air craters to the rapid deceleration of the droplet due to viscous drag force. The droplet response to the external impulsive decelerating force induces oscillatory modes on the surface exposed to the air forming capillary waves that superimpose to form air craters of various shapes and sizes. We introduce a non-dimensional parameter ( ${\varGamma }$ ), that is, the ratio of the drag force to the capillary force acting on the droplet. We show that ${\varGamma }$ is directly proportional to the capillary number. We show that droplets forming air craters of significant depths have ${\varGamma }>1$ . Further, we demonstrate that Legendre polynomials can locally approximate the central air crater jet profile. We also decipher that the air crater response time scale ( $T$ ) varies as the square root of impact Weber number ( $T\sim We^{1/2}$ ). Further, we generalize the local droplet response with a global response model for low impact energies based on an eigenvalue problem. We represent the penetrating drop as a constrained Rayleigh drop problem with a dynamic contact line. The air–water interface dynamics is analysed using an inviscid droplet deformation model for small deformation amplitudes. The local and global droplet response theories conform with each other and depict that the deformation profiles could be represented as a linear superposition of eigenmodes in Legendre polynomial basis. We unearth that the droplet response in an immiscible impact system differs from the miscible impact systems due to the presence of such a dynamic contact line.

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Drop impact on solids: contact-angle hysteresis filters impact energy into modal vibrations

Abstract: Abstract

Cited by 7 publications

References 91 publications

Oblique drop impact: can one infer the angle of impact?

Oblique drop impact: can one infer the angle of impact?

A numerical study on non-spherical droplet impact with solidification in additive manufacturing

On the mechanics of droplet surface crater during impact on immiscible viscous liquid pool

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