Effect Of Hydrodynamic Drag On The Stability
Of A Cantilever Pipe Conveying Fluid
Author(s)
G. L. Kuiper & A. V. Metrikine
Abstract
When studying the stability of a vertically suspended, fully submerged pipe
conveying water upwards, researchers found a contradiction between theoretical
predictions and experiments. Experiments did not show any instability, while
theory predicted instability at small fluid velocities. Recently, searching for a
resolution of this contradiction, Païdoussis et al. postulated a new description of
the boundary conditions at the free end of the pipe. With these boundary
conditions, the pipe becomes unstable by divergence (stable focus to saddle
bifurcation) at a higher fluid velocity, than predicted earlier and than was
reached in the experiments so far. Thus, it might seem that the reason for the
contradiction has been found. However, in this paper another explanation is
given why the experiments should not have shown any instability. This
explanation is based on a realistic description of hydrodynamic drag, based on
experimental data available in the literature. Using this drag description, it is
shown that the pipe becomes unstable by flutter (stable focus to unstable focus
bifurcation) at a much higher fluid velocity than predicted by Païdoussis et al.
Keywords: cantilever pipe, stability, hydrodynamic drag, fluid-structureinteraction,
flexible cylinder.
1 Introduction
In recent years different theories have been developed to predict the dynamic
behaviour of submerged, cantilever pipes conveying fluid upward. It was first
thought, that once all dissipation mechanisms are neglected, the cantilevered
pipe loses stability at infinitesimally low fluid velocities (Païdoussis and
Luu, [2]). However, this was in contrast with experiments, which did not show
Keywords
cantilever pipe, stability, hydrodynamic drag, fluid-structureinteraction,
flexible cylinder.
Related Book
Other papers in this volume
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