| People | Locations | Statistics |
|---|---|---|
| Naji, M. |
| |
| Motta, Antonella |
| |
| Aletan, Dirar |
| |
| Mohamed, Tarek |
| |
| Ertürk, Emre |
| |
| Taccardi, Nicola |
| |
| Kononenko, Denys |
| |
| Petrov, R. H. | Madrid |
|
| Alshaaer, Mazen | Brussels |
|
| Bih, L. |
| |
| Casati, R. |
| |
| Muller, Hermance |
| |
| Kočí, Jan | Prague |
|
| Šuljagić, Marija |
| |
| Kalteremidou, Kalliopi-Artemi | Brussels |
|
| Azam, Siraj |
| |
| Ospanova, Alyiya |
| |
| Blanpain, Bart |
| |
| Ali, M. A. |
| |
| Popa, V. |
| |
| Rančić, M. |
| |
| Ollier, Nadège |
| |
| Azevedo, Nuno Monteiro |
| |
| Landes, Michael |
| |
| Rignanese, Gian-Marco |
|
Pigeonneau, Franck
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (12/12 displayed)
- 2024Improved printability and electrical conductivity of carbon black polymer composite with a customized nozzle of material extrusion processcitations
- 2023Dynamics of rising bubble population undergoing mass transfer and coalescence in high viscous liquidcitations
- 2022Dynamics of rising bubble population undergoing mass transfer and coalescence in highly viscous liquidcitations
- 2020Experimental and numerical investigations of an oxygen single‐bubble shrinkage in a borosilicate glass‐forming liquid doped with cerium oxidecitations
- 2019Nano-Structured Optical Fibers Made of Glass- Ceramics, and Phase Separated and Metallic Particle- Containing Glassescitations
- 2016Rate of chaotic mixing in localized flowscitations
- 2015Gravity-driven thinning of a high viscous liquid and interface deformation as a bubble reaches a free surface
- 2014Slow gravity-driven migration and interaction of a bubble and a solid particle near a free surface
- 2013Rising bubble near a free surface: numerical and asymptotic study
- 2013Stability of vertical films of molten glass due to evaporation
- 2013Film drainage of viscous liquid on top of bare bubble: Influence of the Bond numbercitations
- 2012Stability of vertical films of molten glass due to evaporationcitations
Places of action
| Organizations | Location | People |
|---|
conferencepaper
Rising bubble near a free surface: numerical and asymptotic study
Abstract
Phase separation is involved in many chemical processes and is generally limited by the collapse of inclusions at the free surface. For instance, the coalescence of bubbles in highly viscous Newtonian fluids is observed in various fields, such as geophysics or the glass industry. When a bubble rises through a liquid toward a free surface, we first observe the rising of the bubble driven by the buoyancy forces. In the second step corresponding to the drainage, a liquid film is created between the bubble interface and the free surface decreasing with the time. Both the bubble shape close to the free surface and the film thickness depend upon on the Bond number which is the ratio of gravity to surface tension forces. Under the assumption of the small Reynolds number, the inertial effects are neglected. Moreover, both the surface tensions of the free surface and the bubble are assumed uniform but theirs values can be different. We have already investigated the gravity-driven migration using a numerical method based on the boundary-integral method (Pigeonneau and Sellier (2011)). The aim of the current work is to develop an asymptotic solution when the Bond number is small. In the perturbation method, the interfaces and flow are developed following an asymptotic expansion for which the small parameter is the Bond number. The zeroth order corresponds to the case of undeformed interfaces (flat free surface and spherical bubble) which can be determined using bipolar coordinates. The hydrodynamic force at the zeroth order is obtained using the exact solution provided by Stimson and Jeffery (1926). The behavior of the film thickness is obtained from the momentum equation on the bubble. We compare the asymptotic predictions with the previous numerical results. Finally, the bubble and free surface shapes are investigated for different values of the surface tension ratio and small Bond number.