COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Bubble dynamics and velocity selection in a Hele-Shaw cell

## Bubble dynamics and velocity selection in a Hele-Shaw cellAdd to your list(s) Download to your calendar using vCal - Giovani Vasconcelos (Universidade Federal do ParanĂ¡)
- Tuesday 17 December 2019, 14:00-15:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. CAT - Complex analysis: techniques, applications and computations The unsteady motion of a finite assembly of bubbles in a Hele-Shaw channel is studied in the case when surface tension is neglected. A general exact solution is obtained in terms of a conformal map from a multiply connected circular domain to the fluid region exterior to the bubbles. The correspond- ing mapping function is given explicitly in terms of certain special transcen- dental functions, known as the secondary Schottky-Klein prime functions. Exploring the properties of these solutions, we show that steady configura- tions where the bubbles move with a velocity, U, which is twice greater than the velocity, V , of the background flow, i.e., U = 2V , are the only attrac- tor of the dynamics; whereas solutions with U ≠ 2V act as repellors. This demonstrates that the special nature of the solutions with U = 2V is already built-in in the zero-surface-tension dynamics, which is confirmed by the in- clusion of regularization effects. In particular, the case of a single bubble will be discussed in detail and several numerical examples of bubble evolution and bubble selection will be presented. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 2, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsDepartment of Public Health and Primary Care Friends of the Sedgwick Museum Rausing Lecture## Other talksNon invasive deep brain stimulation via temporally interfering electric fields Constructing the Other: representations of Arctic native communities in Russian regional museums The use of multi-parametric maps (MPMs) in ageing research The roots of change: global change and mycorrhizal symbiosis through the Phanerozoic |