Summary

The dynamics of fluid-conveying pipes encompasses the interplay between internal flow and structural response, giving rise to a spectrum of phenomena from static divergence to rich nonlinear oscillations. When fluid moves through an elastic conduit, Coriolis and inertial forces may destabilise the steady configuration, leading to buckling or flutter once critical velocities are exceeded. Geometry, material distribution and support conditions crucially influence stability thresholds and post-instability behaviour. Curved and helical geometries introduce mode coupling and internal resonances, while variable wall stiffness or functional gradation can both enhance or diminish dynamic stability. Recent work has emphasised precise modelling of fluid-structure interaction, incorporating geometric exactness and non-conservative loading to predict bifurcation patterns, limit-cycle amplitudes and chaotic responses. Practical applications span oil and gas risers, chemical process lines and energy storage caverns, where failure from vibration-induced fatigue or catastrophic buckling must be avoided. Advances in active and semi-active control, as well as optimised structural design, now enable adaptive suppression of deleterious vibrations and improved resilience under fluctuating flow regimes.

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Dynamics of Fluid-Conveying Pipe Systems publication trend

The graph below shows the total number of articles in dynamics of fluid-conveying pipe systems across all publications each year (not limited to Nature Index journals).

Technical terms

Flutter instability: Dynamic instability characterised by self-excited oscillations arising from the interaction of flow-induced forces and structural inertia.

Buckling (static divergence): Loss of equilibrium under steady loading, leading to sudden deformation under high flow velocity or applied forces.

Bifurcation: Qualitative change in system solution structure as a critical parameter (e.g. flow speed) varies, often leading to multiple equilibrium branches.

Fluid–structure interaction (FSI): Mutual coupling between fluid flow and structural deformation, requiring simultaneous solution of fluid and solid dynamics.

Limit-cycle oscillation: Stable, periodic oscillation that emerges after post-instability growth, independent of initial disturbance amplitude.

References

  1. Vibration control of fluid-conveying pipes: a state-of-the-art review. Applied Mathematics and Mechanics (2023).
  2. Bifurcation and stability analysis of static equilibrium configuration of curved pipe conveying fluid. European Journal of Mechanics - A/Solids (2023).
  3. Experimental and numerical study on vibrations of a helical pipe with fluid flow. Journal of Sound and Vibration (2022).

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