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Dynamics of a bubble bouncing at a liquid/liquid/gas interface

Published online by Cambridge University Press:  19 October 2016

Jie Feng ,
Metin Muradoglu ,
Hyoungsoo Kim ,
Jesse T. Ault  and
Howard A. Stone
Jie Feng
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Metin Muradoglu
Affiliation:
Department of Mechanical Engineering, Koc University, Istanbul 34450, Turkey
Hyoungsoo Kim
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Jesse T. Ault
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Howard A. Stone*
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
*
†Email address for correspondence: hastone@princeton.edu
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Abstract

We study the dynamics of an air bubble bouncing at a liquid/liquid/gas interface, which we refer to as a compound interface. When a bubble interacts with a thin layer of oil on top of bulk water, the oil layer modifies the interfacial properties and thus the entire process of bouncing and bubble bursting. The influence on the bubble motion is experimentally and numerically investigated. Based on the coefficient of restitution and the damping rate of the bubble velocity profile, the damping increases with the oil layer thickness and viscosity. In addition, the effect of the oil layer thickness is more prominent for high-viscosity oil. Furthermore, a reduced-order mass–spring–damper model is proposed to describe the bubble bouncing at the compound interface, which predicts the time of the first contact of the bubble with the interface and agrees well with the experimental results. Such a model also captures the general experimental trends of the coefficient of restitution for the multiphase system. Our work contributes to a further understanding of the collision and coalescence of bubbles with a compound interface.

JFM classification

Drops and Bubbles: Bubble dynamics Interfacial Flows (free surface): Interfacial Flows (free surface) Multiphase and Particle-laden Flows: Multiphase flow
Type
Papers
Information
Journal of Fluid Mechanics , Volume 807 , 25 November 2016 , pp. 324 - 352
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Copyright
© 2016 Cambridge University Press 

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Feng et al. supplementary movie

Collisions of a bubble with an air/water interface. Here 𝑢0=31.6 cm/s, 𝑑𝑒𝑞=1.30 mm, ℎi=14.4 mm, 𝑅𝑒 =4.6×102, 𝑊𝑒 =1.9.

Download Feng et al. supplementary movie(Video)
Video 1.6 MB
Supplementary material: PDF

Feng et al. supplementary material

Supplementary data

Download Feng et al. supplementary material(PDF)
PDF 7.4 MB

Feng et al. supplementary movie

Collisions of a bubble with an air/oil/water interface. Here 𝑢0=31.6 cm/s, 𝑑𝑒𝑞=1.30 mm, 𝜈0=20 mm2/s, ℎ=1.50 mm, ℎi=14.4 mm, 𝑅𝑒 =4.6×102, 𝑊𝑒 =1.9.

Download Feng et al. supplementary movie(Video)
Video 1.6 MB