![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Jens Eggers, U. Bristol
Friday 27 January 2023, 16:00-17:00
Theory of bubble tips in strong viscous flows
- 👤 Speaker: Jens Eggers, U. Bristol
- 📅 Date & Time: Friday 27 January 2023, 16:00 - 17:00
- 📍 Venue: MR2, Centre for Mathematical Sciences, Wilberforce Road, Cambridge
Abstract
A free surface, placed in a strong viscous flow (such that viscous forces overwhelm surface tension), often develops ends with very sharp tips. We show that the axisymmetric shape of the ends, non-dimensionalized by the tip curvature, is governed by a universal similarity solution. The shape of the similarity solution is close to a cone, but whose slope varies with the square root of the logarithmic distance from the tip. Pursuing the calculation of the tip similarity solution to the next order, we demonstrate matching to previous slender-body analyses, which fail near the tip. This allows us to resolve the long-standing problem, first raised by G.I. Taylor, of finding the global solution of a bubble in a strong hyperbolic flow. Our results are shown to agree in detail with the experiment as well as full numerical simulations of the Stokes equation.
Series This talk is part of the Fluid Mechanics (DAMTP) series.
Included in Lists
- All CMS events
- All Talks (aka the CURE list)
- bld31
- CamBridgeSens
- Cambridge talks
- CMS Events
- Combined External Astrophysics Talks DAMTP
- Cosmology, Astrophysics and General Relativity
- DAMTP Fluids Talks
- DAMTP info aggregator
- Fluid Mechanics (DAMTP)
- Interested Talks
- Life Science Interface Seminars
- MR2, Centre for Mathematical Sciences, Wilberforce Road, Cambridge
- School of Physical Sciences
- SJC Regular Seminars
- Talks related to atmosphere and ocean dynamics and climate science
- Trust & Technology Initiative - interesting events
- yk449
Note: Ex-directory lists are not shown.