One-dimensional leakage-flow vibration instabilities

Simple boundary conditions, pressure losses, and channel geometries necessary for the unstable, rigid-body translational vibrations of the wall of a one-dimensional leakage-flow channel are identified. General expressions for the flow-damping and stiffness forces acting on the vibrating channel wall...

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Bibliographic Details
Published inJournal of fluids and structures Vol. 2; no. 4; pp. 383 - 403
Main Author Mulcahy, T.M.
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 1988
Elsevier
Subjects
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic stability
Physics
Vibration
Pipe flow
Pressure drop
Orifice flow
Leak
Hydrodynamic instability
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Summary:Simple boundary conditions, pressure losses, and channel geometries necessary for the unstable, rigid-body translational vibrations of the wall of a one-dimensional leakage-flow channel are identified. General expressions for the flow-damping and stiffness forces acting on the vibrating channel wall are derived and specific results are given for channels with wall friction, point pressure losses, sharp-edged constrictions, and diverging or converging widths. The minimum conditions necessary for dynamic and static (divergence) instability were found to be an upstream point pressure loss and a diverging channel width with a finite-length throat region, respectively.
ISSN:0889-9746
1095-8622
DOI:10.1016/S0889-9746(88)90065-5