Spherical cap bubbles with a toroidal bubbly wake

J.R. Landel 1, 2 Carlo Cossu 3, * C.P. Caulfield 4, *
* Corresponding author
1 Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
2 X - École polytechnique
3 LadHyX - Laboratoire d'hydrodynamique
4 BP Institute, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Madingley Rise, Madingley Road, Cambridge CB3 0EZ, United Kingdom
Abstract : The prediction of the rise speed of large buoyant bubbles is a fundamental fluid mechanics problem relevant to a number of applications ranging from carbon sequestration technology to chemical engineering or astrophysics. Single large bubbles typically have a spherical cap shape with bubbles of larger volume rising faster than the ones of smaller volume. However, except in well-controlled experiments, the released gas splits into a leading cap bubble, followed by a crown of satellite bubbles that can contain up to 50% of the total volume of gas. We find that in this case the satellite bubbles rearrange in a characteristic toroidal crown and the leading bubble takes a lenticular shape. The rise speeds of these multipart bubble systems and the ratios of the torus radii to the leading cap curvature radii are quite constant and predictable in the mean and are furthermore independent of the gas partitioning between the leading lenticular bubble and the crown of satellite bubbles. We also find that this multipart bubble system rises slightly faster than a single cap bubble with the same total injected volume of gas. © 2008 American Institute of Physics.
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J.R. Landel, Carlo Cossu, C.P. Caulfield. Spherical cap bubbles with a toroidal bubbly wake. Physics of Fluids, American Institute of Physics, 2008, 20 (12), pp.122101. ⟨10.1063/1.3026747⟩. ⟨hal-01022809⟩

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