Vibration of a flexible pipe conveying viscous pulsating fluid flow

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.