Abstract
We investigate the influence of slot injection/suction on the axisymmetric spreading of a thin film under the influence of gravity and rotation. The effects of surface tension are ignored. We allow a very thin film to precede the bulk of the fluid to overcome the singularity which arises as a consequence of applying the no-slip boundary condition. We show how the width of the slot and magnitude of the injection/suction influences the height of ridges and depth of cavities on the profile of the free surface of the thin film. Rotation increases the depth of the cavities and the height of the ridges as compared to the effects of gravity alone. The presence of rotation also results in the formation of a breaking wave.
| Original language | English |
|---|---|
| Pages (from-to) | 1264-1270 |
| Number of pages | 7 |
| Journal | Applied Mathematical Modelling |
| Volume | 35 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 2011 |
| Externally published | Yes |
Keywords
- Gravity
- Rotation
- Slot injection
- Slot suction
- Thin film
ASJC Scopus subject areas
- Modeling and Simulation
- Applied Mathematics