# Immiscible impact dynamics of droplets onto millimetric films

Immiscible impact dynamics of droplets onto millimetric films The impact of liquid droplets onto a film of an immiscible liquid is studied experimentally across a broad range of parameters [ $$Re = O(10^{1}-10^{3})$$ R e = O ( 10 1 - 10 3 ) , $$We = O(10^{2}-10^{3})$$ W e = O ( 10 2 - 10 3 ) ] with the aid of high-speed photography and image analysis. Above a critical impact parameter, $$Re^{1/2}We^{1/4} \approx 100$$ R e 1 / 2 W e 1 / 4 ≈ 100 , the droplet fragments into multiple satellite droplets, which typically occurs as the result of a fingering instability. Statistical analysis indicates that the satellite droplets are approximately log-normally distributed, in agreement with some previous studies and the theoretical predictions of Wu (Prob Eng Mech 18:241–249, 2003). However, in contrast to a recent study by Lhuissier et al. (Phys Rev Lett 110:264503, 2013), we find that it is the modal satellite diameter, not the mean diameter, that scales inversely with the impact speed (or Weber number) and that the dependence is $$d_\mathrm{{mod}} \sim We^{-1/4}$$ d mod ∼ W e - 1 / 4 . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Experiments in Fluids Springer Journals

# Immiscible impact dynamics of droplets onto millimetric films

, Volume 59 (1) – Nov 29, 2017
12 pages

/lp/springer_journal/immiscible-impact-dynamics-of-droplets-onto-millimetric-films-t2D31K9dcR
Publisher
Springer Berlin Heidelberg
Subject
Engineering; Engineering Fluid Dynamics; Fluid- and Aerodynamics; Engineering Thermodynamics, Heat and Mass Transfer
ISSN
0723-4864
eISSN
1432-1114
D.O.I.
10.1007/s00348-017-2461-4
Publisher site
See Article on Publisher Site

### Abstract

The impact of liquid droplets onto a film of an immiscible liquid is studied experimentally across a broad range of parameters [ $$Re = O(10^{1}-10^{3})$$ R e = O ( 10 1 - 10 3 ) , $$We = O(10^{2}-10^{3})$$ W e = O ( 10 2 - 10 3 ) ] with the aid of high-speed photography and image analysis. Above a critical impact parameter, $$Re^{1/2}We^{1/4} \approx 100$$ R e 1 / 2 W e 1 / 4 ≈ 100 , the droplet fragments into multiple satellite droplets, which typically occurs as the result of a fingering instability. Statistical analysis indicates that the satellite droplets are approximately log-normally distributed, in agreement with some previous studies and the theoretical predictions of Wu (Prob Eng Mech 18:241–249, 2003). However, in contrast to a recent study by Lhuissier et al. (Phys Rev Lett 110:264503, 2013), we find that it is the modal satellite diameter, not the mean diameter, that scales inversely with the impact speed (or Weber number) and that the dependence is $$d_\mathrm{{mod}} \sim We^{-1/4}$$ d mod ∼ W e - 1 / 4 .

### Journal

Experiments in FluidsSpringer Journals

Published: Nov 29, 2017

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