Khalid, AH;
McDonald, NR;
Vanden-Broeck, J-M;
(2015)
On the motion of unsteady translating bubbles in an unbounded Hele-Shaw cell.
Physics of Fluids
, 27
(1)
, Article 012102. 10.1063/1.4905582.
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Abstract
Unsteady propagating bubbles in an unbounded Hele-Shaw cell are considered numerically in the case of zero surface tension. The instability of elliptical bubbles and their evolution toward a stable circular boundary, with speed twice that of the fluid speed at infinity, is studied numerically and by stability analysis. Numerical simulations of bubbles demonstrate that the important role played by singularities of the Schwarz function of the bubble boundary in determining the evolution of the bubble. When the singularity lies close to the initial bubble, two types of topological change are observed: (i) bubble splitting into multiple bubbles and (ii) a finite fluid blob pinching off inside the bubble region.
| Type: | Article |
|---|---|
| Title: | On the motion of unsteady translating bubbles in an unbounded Hele-Shaw cell |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1063/1.4905582 |
| Publisher version: | http://dx.doi.org/10.1063/1.4905582 |
| Language: | English |
| Additional information: | Copyright 2015 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Khalid, AH; McDonald, NR; Vanden-Broeck, J-M; (2015) On the motion of unsteady translating bubbles in an unbounded Hele-Shaw cell. Physics of Fluids , 27 (1) , Article 012102 and may be found at http://dx.doi.org/10.1063/1.4905582. |
| UCL classification: | UCL 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/1461323 |
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