One-dimensional leakage-flow vibration instabilities

Conference · Sat Nov 28 00:00:00 EST 1987 · Journal of Fluids and Structures

DOI:https://doi.org/10.1016/s0889-9746(88)90065-5· OSTI ID:5742917

Mulcahy, Thomas M. ^[1]

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1. Argonne National Laboratory (ANL), Argonne, IL (United States)

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.

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: W-31-109-ENG-38
• OSTI ID: 5742917
• Report Number(s): CONF-871196-1; ON: DE88002875
• Journal Information: Journal of Fluids and Structures, Vol. 2, Issue 4; Conference: International Symposium on Flow-Induced Vibration and Noise , Chicago, IL (United States), 28 Nov 1987; ISSN 0889-9746
• Publisher: Elsevier
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
FLUID FLOW
INSTABILITY
MECHANICAL VIBRATIONS
BOUNDARY CONDITIONS
CONTINUITY EQUATIONS
DAMPING
EQUATIONS OF MOTION
FLOW MODELS
FLUCTUATIONS
FRICTION
LOSS OF FLOW
ONE-DIMENSIONAL CALCULATIONS
STRESSES
TURBULENCE
WALLS
ACCIDENTS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
REACTOR ACCIDENTS
VARIATIONS
Simple Boundary Conditions
Pressure Losses
Channel Geometries
Wall Friction
Point Pressure Losses
Sharp-Edged Constrictions
Diverging or Converging Widths
640410* - Fluid Physics- General Fluid Dynamics