Vanden-Broeck, J;
Doak, A;
(2018)
Solution selection of axisymmetric Taylor bubbles.
Journal of Fluid Mechanics
, 843
pp. 518-535.
10.1017/jfm.2018.156.
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Abstract
A finite difference scheme is proposed to solve the problem of axisymmetric Taylor bubbles rising at a constant velocity in a tube. A method to remove singularities from the numerical scheme is presented, allowing accurate computation of the bubbles with the inclusion of both gravity and surface tension. This paper confirms the long-held belief that the solution space of the axisymmetric Taylor bubble for small surface tension is qualitatively similar to that of the plane Taylor bubble. Furthermore, evidence suggesting that the solution selection mechanism associated with plane bubbles also occurs in the axisymmetric case is presented.
| Type: | Article |
|---|---|
| Title: | Solution selection of axisymmetric Taylor bubbles |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/jfm.2018.156 |
| Publisher version: | https://doi.org/10.1017/jfm.2018.156 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10043658 |
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