Abstract
The approximate Lie group method is used to investigate the evolution of the free surface of a thin liquid drop on a slowly dropping flat plane. Surface tension effects are ignored. A group classification is performed to determine the rate at which the plane drops. An approximate group invariant solution is then calculated for the free surface of an evolving liquid drop on the slowly dropping flat plane. An important parameter in the solution is the initial angle of the plane. For small angles there is no significant difference in the drop profile. For larger angles, changes in the drop profile and rate of spreading are significant.
| Original language | English |
|---|---|
| Pages (from-to) | 167-173 |
| Number of pages | 7 |
| Journal | Nonlinear Dynamics |
| Volume | 28 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Apr 2002 |
| Externally published | Yes |
Keywords
- Approximate Lie group method
- Slowly dropping flat plane
- Thin film
ASJC Scopus subject areas
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Applied Mathematics
- Electrical and Electronic Engineering