The mechanism for surface wave instability in film flow down an inclined plane

R. E. Kelly, D. A. Goussis, S. P. Lin, F. K. Hsu

Research output: Contribution to journalArticlepeer-review

89 Scopus citations

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.

Original languageBritish English
Pages (from-to)819-828
Number of pages10
JournalPhysics of Fluids A
Volume1
Issue number5
DOIs
StatePublished - 1989

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