Footprint geometry and sessile drop resonance

Chang, Chun-Ti; Daniel, Susan; Steen, Paul H.

doi:10.1103/physreve.95.033109

Cited by 4 publications

(2 citation statements)

References 47 publications

(94 reference statements)

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“…Subharmonic droplet deformations are commonly observed on forced sessile droplets on flat substrates (Chang et al. 2015; Chang, Daniel & Steen 2017). Maksymov & Pototsky (2019) showed, using an inertial thin film model, that, for small forcing accelerations, droplets respond harmonically, and that subharmonic Faraday waves only occur above a threshold acceleration.…”

Section: Regimes Of Droplet Responsementioning

confidence: 99%

“…First, the existence of a subharmonic behaviour above a forcing threshold is reminiscent of the parametric Faraday instability (Miles & Henderson 1990) and is the result of a competition between inertia and capillarity. Subharmonic droplet deformations are commonly observed on forced sessile droplets on flat substrates (Chang et al 2015;Chang, Daniel & Steen 2017). Maksymov & Pototsky (2019) showed, using an inertial thin film model, that, for small forcing accelerations, droplets respond harmonically, and that subharmonic Faraday waves only occur above a threshold acceleration.…”

Section: Regimes Of Droplet Responsementioning

confidence: 99%

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Sliding, vibrating and swinging droplets on an oscillating fibre

Poulain

Carlson

2023

J. Fluid Mech.

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We study experimentally the dynamics of a water droplet on a tilted and vertically oscillating rigid fibre. As we vary the frequency and amplitude of the oscillations the droplet transitions between different modes: harmonic pumping, subharmonic pumping, a combination of rocking and pumping modes, and a combination of pumping and swinging modes. We characterize these responses and report how they affect the sliding speed of the droplet along the fibre. The swinging mode is explained by a minimal model making an analogy between the droplet and a forced elastic pendulum.

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Section: Regimes Of Droplet Responsementioning

confidence: 99%

Section: Regimes Of Droplet Responsementioning

confidence: 99%

Sliding, vibrating and swinging droplets on an oscillating fibre

Poulain

Carlson

2023

J. Fluid Mech.

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On the similarities between the resonance behaviors of water balloons and water drops

Chang

2020

Physics of Fluids

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In this study, the resonance of water balloons is examined, and an understanding of their dynamics in terms of our knowledge about resonating sessile drops is reported. The focus is the regime in which the competition between surface and inertial forces dominates the dynamics of the balloon. In experiments, water balloons are mechanically oscillated along their axes of symmetry, and their responses are observed through optical imaging. The observations are compared to the resonance of sessile drops. Balloons differ from drops for having elasticity in place of surface tension. Different as balloons and drops may seem, this study reveals great similarities between them: a resemblance of their normalized pressure–volume curves, a one-to-one shape correspondence between their eigenmodes, and a close approximation of their normalized resonance frequencies. Based on these, turning a drop into a balloon preserves the drop’s mechanical response to a large extent. In fact, as a first approximation, the water balloons respond mechanically as water drops with a much higher surface tension.

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Resonance of “subhemispherical” water balloons: Shape analysis and frequency prediction

Chang

Huang

2023

Physics of Fluids

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Water balloons and water drops are different objects, yet the work by Chang [“On the similarities between the resonance behaviors of water balloons and water drops,” Phys. Fluids 32, 124113 (2020)] reveals the similarities between their resonance behaviors. Chang's work focuses on the balloons with pinning angles beyond 90° (superhemispherical balloons), and the results are based on a limited number of modes. In this study, the resonance of balloons with pinning angles below 90° (subhemispherical balloons) is examined. The setup is similar to that for Chang's work, except each balloon is enlarged to possess a larger inertia, and a correlation-based method is adopted to visualize the balloon's oscillation. With these improvements, this study successfully discovers more than 37 modes, many of them have not been reported in the literature. For these modes, a catalogue is constructed to demonstrate their one-to-one correspondence to the modes of drops. Additionally, a scaling scheme is proposed to assimilate the resonance frequencies of subhemispherical balloons and drops. With these, this study provides a simple framework for predicting a subhemispherical water balloon's resonance with a theory for the resonance of sessile drops on a flat plate.

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Footprint geometry and sessile drop resonance

Cited by 4 publications

References 47 publications

Sliding, vibrating and swinging droplets on an oscillating fibre

Sliding, vibrating and swinging droplets on an oscillating fibre

On the similarities between the resonance behaviors of water balloons and water drops

Resonance of “subhemispherical” water balloons: Shape analysis and frequency prediction

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