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Deceleration of droplets that glide along the free surface of a bath

Published online by Cambridge University Press:  19 August 2016

Jacob Hale Open the ORCID record for Jacob Hale [Opens in a new window]  and
Caleb Akers Open the ORCID record for Caleb Akers [Opens in a new window]
Jacob Hale*
Affiliation:
Department of Physics and Astronomy, DePauw University, Greencastle, IN 46135, USA
Caleb Akers
Affiliation:
Department of Physics and Astronomy, DePauw University, Greencastle, IN 46135, USA
*
†Email address for correspondence: [email protected]
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Abstract

A droplet obliquely impacting a bath surface of the same fluid can traverse along the interface while slowing at an exponential rate. The droplet rests on a thin film of air, deforms the bath surface creating a dimple and travels along the surface similarly to a wave pulse. Viscous coupling of the droplet and bath surfaces through the air film leads to viscous drag on the bath and perturbs the wave motion of the otherwise free surface. Even though the Reynolds numbers are greater than unity ($\mathit{Re}\,O(10{-}100)$), we show that the droplet’s deceleration is only due to viscous coupling through the air gap. The rate of deceleration is found to increase linearly with droplet diameter.

JFM classification

Drops and Bubbles: Breakup/coalescence Drops and Bubbles: Drops Interfacial Flows (free surface): Interfacial Flows (free surface)
Type
Papers
Information
Journal of Fluid Mechanics , Volume 803 , 25 September 2016 , pp. 313 - 331
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Copyright
© 2016 Cambridge University Press 

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Hale and Akers supplementary movie

Droplet impacting a bath. See figure 1b. t=tI.

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Video 4.2 MB
Supplementary material: PDF

Hale and Akers supplementary material

Supplementary figures

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Hale and Akers supplementary movie

Motion of a long lifetime skirting droplet viewed from above. See figure 4b. t=ts.

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Video 2.6 MB

Hale and Akers supplementary movie

Side view movie of a short lifetime skirting droplet. See figure 4a. t=ts.

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Video 2.3 MB

Hale and Akers supplementary movie

Bottom-up and side views of droplet coalescence. See figure 6a and b. t=tr.

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Video 1.3 MB

Hale and Akers supplementary movie

Top-down view of impacting droplet seeded with tracer particles. See figure 9a. t=tI.

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Video 4 MB

Hale and Akers supplementary movie

Bottom-up view of skirting droplet seeded with tracer particles. See figure 10a. t=ts. Inset: diagram of side view of the droplet with the position of the tracer particle indicated by the arrow.

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Video 10.1 MB