Vibration of a flexible pipe conveying viscous pulsating fluid flow

Daniel Gorman, Jason Reese, Y.L. Zhang

Research output: Contribution to journalArticle

72 Citations (Scopus)

Abstract

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 di!erential 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.
LanguageEnglish
Pages379-392
JournalJournal of Sound and Vibration
Volume230
Issue number2
DOIs
Publication statusPublished - 17 Feb 2000

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Conveying
fluid flow
Flow of fluids
Pipe
vibration
Fluids
fluids
Momentum
momentum
flow equations
unsteady flow
continuity equation
Nonlinear equations
Finite difference method
compatibility
nonlinear equations
Equations of motion
conservation
Conservation
equations of motion

Cite this

Gorman, Daniel ; Reese, Jason ; Zhang, Y.L. / Vibration of a flexible pipe conveying viscous pulsating fluid flow. In: Journal of Sound and Vibration. 2000 ; Vol. 230, No. 2. pp. 379-392.
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Vibration of a flexible pipe conveying viscous pulsating fluid flow. / Gorman, Daniel; Reese, Jason; Zhang, Y.L.

In: Journal of Sound and Vibration, Vol. 230, No. 2, 17.02.2000, p. 379-392.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Gorman, Daniel

AU - Reese, Jason

AU - Zhang, Y.L.

PY - 2000/2/17

Y1 - 2000/2/17

N2 - The non-linear equations of motion of a flexible pipe conveying unsteadilyflowing fluid are derived from the continuity and momentum equations ofunsteady flow. These partial di!erential equations are fully coupled throughequilibrium of contact forces, the normal compatibility of velocity at the fluid}pipe interfaces, and the conservation of mass and momentum of the transientfluid. Poisson coupling between the pipe wall and fluid is also incorporated inthe model. A combination of the finite difference method and the method ofcharacteristics is employed to extract displacements, hydrodynamic pressure andflow velocities from the equations. A numerical example of a pipeline conveyingfluid with a pulsating flow is given and discussed.

AB - The non-linear equations of motion of a flexible pipe conveying unsteadilyflowing fluid are derived from the continuity and momentum equations ofunsteady flow. These partial di!erential equations are fully coupled throughequilibrium of contact forces, the normal compatibility of velocity at the fluid}pipe interfaces, and the conservation of mass and momentum of the transientfluid. Poisson coupling between the pipe wall and fluid is also incorporated inthe model. A combination of the finite difference method and the method ofcharacteristics is employed to extract displacements, hydrodynamic pressure andflow velocities from the equations. A numerical example of a pipeline conveyingfluid with a pulsating flow is given and discussed.

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