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Immiscible impact dynamics of droplets onto millimetric films

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Abstract

The impact of liquid droplets onto a film of an immiscible liquid is studied experimentally across a broad range of parameters [\(Re = O(10^{1}-10^{3})\), \(We = O(10^{2}-10^{3})\)] with the aid of high-speed photography and image analysis. Above a critical impact parameter, \(Re^{1/2}We^{1/4} \approx 100\), 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 \(d_\mathrm{{mod}} \sim We^{-1/4}\).

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Acknowledgements

The authors would like to express their gratitude to the anonymous reviewers whose comments significantly improved the manuscript, especially with regard to the distributions and physical interpretation.

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Authors and Affiliations

  1. Department of Chemical Engineering, Texas Tech University, Lubbock, TX, 79409, USA

    S. Shaikh, G. Toyofuku, R. Hoang & J. O. Marston

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  1. S. Shaikh
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  2. G. Toyofuku
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  3. R. Hoang
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  4. J. O. Marston
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Correspondence to J. O. Marston.

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Shaikh, S., Toyofuku, G., Hoang, R. et al. Immiscible impact dynamics of droplets onto millimetric films. Exp Fluids 59, 7 (2018). https://doi.org/10.1007/s00348-017-2461-4

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