The mechanism for surface wave instability in film flow down an inclined plane
- 1 May 1989
- journal article
- Published by AIP Publishing in Physics of Fluids A: Fluid Dynamics
- Vol. 1 (5) , 819-828
- https://doi.org/10.1063/1.857379
Abstract
The equation governing the average rate of change of disturbance kinetic energy is evaluated for various wavenumbers at fixed values of Reynolds number, Weber number, and angle of inclination. The dominant energy production term is associated with the work done by the perturbation shear stress at the free surface. The mechanism of instability, however, is associated with a shift of perturbation vorticity relative to the surface displacement resulting from advection.Keywords
This publication has 15 references indexed in Scilit:
- Long-wave instability at the interface between two viscous fluids: Thin layer effectsPhysics of Fluids, 1985
- A note on the mechanism of the instability at the interface between two shearing fluidsJournal of Fluid Mechanics, 1984
- The linear development of Görtler vortices in growing boundary layersJournal of Fluid Mechanics, 1983
- Shear-flow instability at the interface between two viscous fluidsJournal of Fluid Mechanics, 1983
- Some Theoretical and Experimental Observations of the Wave Structure of Falling Liquid FilmsIndustrial & Engineering Chemistry Fundamentals, 1977
- Stability of a Conducting Fluid Flowing Down an Inclined Plane in a Magnetic FieldPhysics of Fluids, 1965
- Stability of Liquid Flow down an Inclined PlanePhysics of Fluids, 1963
- Wave formation in laminar flow down an inclined planeJournal of Fluid Mechanics, 1957
- On kinematic waves I. Flood movement in long riversProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1955
- Stability of two-dimensional parallel flows for three-dimensional disturbancesQuarterly of Applied Mathematics, 1955