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Vibration of a flexible pipe conveying viscous pulsating fluid flow

Gorman, Daniel and Reese, Jason and Zhang, Y.L. (2000) Vibration of a flexible pipe conveying viscous pulsating fluid flow. Journal of Sound and Vibration, 230 (2). pp. 379-392. ISSN 0022-460X

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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.