Solitary Waves on a Viscous Fluid Film down a Vertical Wall
Abstract
A new type of solution is found for a nonlinear equation which describes the free surface of a viscous fluid film flowing down a vertical plane wall. A strongly nonlinear corrugation of the film surface concentrates in a small portion, and propagates downward with a constant velocity. Single waves observed experimentally can be considered as a train of such solitary waves.
- Publication:
-
Journal of the Physical Society of Japan
- Pub Date:
- February 1983
- DOI:
- 10.1143/JPSJ.52.359
- Bibcode:
- 1983JPSJ...52..359N
- Keywords:
-
- Flow Equations;
- Fluid Films;
- Free Boundaries;
- Solitary Waves;
- Viscous Flow;
- Wall Flow;
- Eigenvalues;
- Laminar Flow;
- Nonlinear Equations;
- Propagation Velocity;
- Steady Flow;
- Wave Equations;
- Waveforms;
- Fluid Mechanics and Heat Transfer