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Motion of Newtonian drops deposited on liquid-impregnated surfaces induced by vertical vibrations

Published online by Cambridge University Press:  07 August 2019

Paolo Sartori Open the ORCID record for Paolo Sartori [Opens in a new window] ,
Elia Guglielmin ,
Davide Ferraro Open the ORCID record for Davide Ferraro [Opens in a new window] ,
Daniele Filippi Open the ORCID record for Daniele Filippi [Opens in a new window] ,
Annamaria Zaltron ,
Matteo Pierno Open the ORCID record for Matteo Pierno [Opens in a new window]  and
Giampaolo Mistura Open the ORCID record for Giampaolo Mistura [Opens in a new window]
Paolo Sartori
Affiliation:
Dipartimento di Fisica e Astronomia ‘G. Galilei’, Università di Padova, via Marzolo 8, 35131 Padova, Italy
Elia Guglielmin
Affiliation:
Dipartimento di Fisica e Astronomia ‘G. Galilei’, Università di Padova, via Marzolo 8, 35131 Padova, Italy
Davide Ferraro
Affiliation:
Dipartimento di Fisica e Astronomia ‘G. Galilei’, Università di Padova, via Marzolo 8, 35131 Padova, Italy
Daniele Filippi
Affiliation:
Dipartimento di Fisica e Astronomia ‘G. Galilei’, Università di Padova, via Marzolo 8, 35131 Padova, Italy
Annamaria Zaltron
Affiliation:
Dipartimento di Fisica e Astronomia ‘G. Galilei’, Università di Padova, via Marzolo 8, 35131 Padova, Italy
Matteo Pierno
Affiliation:
Dipartimento di Fisica e Astronomia ‘G. Galilei’, Università di Padova, via Marzolo 8, 35131 Padova, Italy
Giampaolo Mistura*
Affiliation:
Dipartimento di Fisica e Astronomia ‘G. Galilei’, Università di Padova, via Marzolo 8, 35131 Padova, Italy
*
†Email address for correspondence: giampaolo.mistura@unipd.it
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Abstract

We have studied the motion of drops on inclined liquid-impregnated surfaces (LISs) subject to vertical vibrations. The liquid drops comprise distilled water and different aqueous solutions of glycerol of increasing viscosity. The use of weak pinning LISs strongly affects the dynamical phase diagram. First of all, there is no trace of the dominant static region at low oscillating amplitudes reported for oscillating solid surfaces characterized by contact angle hysteresis. On the contrary, at sufficiently low oscillating amplitudes, the drops always move downwards with a velocity that depends only on the drop viscosity. Further increasing the oscillating amplitude may drive the drop upwards against gravity, as reported for dry surfaces. The use of more viscous drops widens this climbing region. Arguably, the main novelty of this work concerns the observation of two distinct descending regimes where the downhill speed differs by a factor of five or more. Fast-rate videos show that the evolution of the drop profile is diverse in the two regimes, likely because the vertical oscillations reduce the effect of the oil meniscus surrounding the drop at high accelerations.

JFM classification

Drops and Bubbles: Drops Interfacial Flows (free surface): Contact lines Micro-/Nano-fluid dynamics: Microfluidics
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 876 , 10 October 2019 , R4
Copyright
© 2019 Cambridge University Press 

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Sartori et al. supplementary movie 1

Real time videos of descending (top), climbing (middle) and fast descending (bottom) drops with average velocities ≈ 1 mm/s, 4 mm/s and ≈ 18 mm/s, respectively. Frequency and acceleration are 145 Hz and 40 m/s2, 125 Hz and 135 m/s2 and 145 Hz and 230 m/s2, respectively. The angle between the direction of the gravitational acceleration g and that of the oscillating surface is 45°. Drops have a volume Ω=1 μL.

Download Sartori et al. supplementary movie 1(Video)
Video 1.2 MB

Sartori et al. supplementary movie 2

Succession of slow motion videos reporting descending (f = 125 Hz, a = 105 m/s2), climbing (f = 125 Hz, a = 150 m/s2) and fast descending (f = 125 Hz, a = 190 m/s2) drops with Ω=1 μL, acquired at 3000 fps.

Download Sartori et al. supplementary movie 2(Video)
Video 13.2 MB