Vibration of a flexible pipe conveying viscous pulsating fluid flow

DG Gorman*, JM Reese, YL Zhang

*Corresponding author for this work

Research output: Contribution to journalLiterature reviewpeer-review


The non-linear equations of motion of a flexible pipe conveying unsteadily flowing fluid are derived from the continuity and momentum equations of unsteady flow. These partial differential equations are fully coupled through equilibrium of contact forces, the normal compatibility of:velocity at the fluid-pipe interfaces. and the conservation of mass and momentum of the transient fluid. Poisson coupling between the pipe wall and fluid is also incorporated in the model. A combination of the finite difference method and the method of characteristics is employed to extract displacements, hydrodynamic pressure and flow, velocities from the equations. A numerical example of a pipeline conveying fluid with a pulsating flow is given and discussed.

Original languageEnglish
Pages (from-to)379-392
Number of pages14
JournalJournal of Sound and Vibration
Issue number2
Publication statusPublished - 17 Feb 2000


  • fluid-structure interaction
  • natural frequencies
  • finite element method
  • method of characteristics
  • finite difference method
  • pulsating flow
  • fluid dynamics


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