The Stability of an Infinite Elastic Pipe with Uniform Mean Flow.

Abstract

The pipe conveying incompressible fluid is modelled using linear beam theory. The stability of the system is analysed using a causal approach which is able to distinguish between absolute and convective instabilities. Closed-form expressions for the stability boundaries of the beam theory model are derived analytically. The dissipation-free pipe is absolutely unstable if the ratio of the mass per unit length of the pipe to that of the contained fluid is greater than one-eighth, otherwise it is convectively unstable at low excitation frequencies and stable at high frequencies. The pipe is found to be absolutely unstable when damping is included. Some numerical results are presented for a steel pipe and a rubber pipe, both of which contain water. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1984
Accession Number
ADA146686

Entities

People

  • E. A. Skelton

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Axial Flow
  • Boundaries
  • Boundary Layer
  • Coalescence
  • Differential Equations
  • Dispersion Relations
  • Dispersions
  • Equations
  • Evanescent Waves
  • Flow
  • Fluid Flow
  • Frequency
  • Group Velocity
  • Simultaneous Equations
  • Wave Propagation
  • Waves

Readers

  • Combustion and Flow Dynamics.
  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.