Abstract
A thin viscous film falling down a vertical plane is studied. In particular, the interfacial wave is analyzed via a long-wave evolution equation of Benney type. Three instabilities are discussed in relation to the generation of chaotic waves observed in many experiments. The primary wave motion is induced by the surface-wave instability, and the waves can subsequently become chaotic due to spatially-subharmonic and three-dimensional instabilities. These secondary instabilities are demonstrated by numerical simulation in a spatially periodic domain. The evolution equation contains a description of the deterministic chaos.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 111-123 |
| Number of pages | 13 |
| Journal | Chemical Engineering Communications |
| Volume | 118 |
| Issue number | 1 |
| DOIs | |
| State | Published - Nov 1 1992 |
| Externally published | Yes |
Funding
The authors gratefully acknowledge Professor S.G. Bankoff and H. Riecke for valuable discussions. This work was supported by U.S. Department of Energy, Division of Basic Energy Sciences, through Grant no. DE FG02-86ER13641.
Keywords
- Chaos
- Film
- Instability
- Interface
- Wave
ASJC Scopus subject areas
- General Chemistry
- General Chemical Engineering