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

doi:10.1063/1.857379

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

Mechanical & Nuclear Engineering

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96 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 language	British English
Pages (from-to)	819-828
Number of pages	10
Journal	Physics of Fluids A
Volume	1
Issue number	5
DOIs	https://doi.org/10.1063/1.857379
State	Published - 1989

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title = "The mechanism for surface wave instability in film flow down an inclined plane",

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.",

author = "Kelly, {R. E.} and Goussis, {D. A.} and Lin, {S. P.} and Hsu, {F. K.}",

year = "1989",

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AU - Goussis, D. A.

AU - Lin, S. P.

AU - Hsu, F. K.

PY - 1989

Y1 - 1989

N2 - 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.

AB - 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.

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VL - 1

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JF - Physics of Fluids A

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

Abstract

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