Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes

DOI10.1098/rspa.2009.0641zbMath1211.74119OpenAlexW2171351584WikidataQ63516828 ScholiaQ63516828MaRDI QIDQ2997311

Robert J. Whittaker, Matthias Heil, Oliver E. Jensen, Sarah L. Waters

Publication date: 6 May 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://rspa.royalsocietypublishing.org/content/vol466/issue2124/

zbMATH Keywords

instabilityasymptotic analysisfluid-structure interactioncollapsible tubesself-excited oscillationsstarling resistor

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (12)

Stability and energy budget of pressure-driven collapsible channel flows ⋮ Axisymmetric instability of elastic tubes conveying power-law fluids ⋮ Instabilities in flexible channel flow with large external pressure ⋮ Analytical study of a model of fluid flow through a channel with flexible walls ⋮ Divergence-driven oscillations in a flexible-channel flow with fixed upstream flux ⋮ Resonance-driven oscillations in a flexible-channel flow with fixed upstream flux and a long downstream rigid segment ⋮ Stability of an elastic tube conveying a non-Newtonian fluid and having a locally weakened section ⋮ Stability of fluid flow through a channel with flexible walls ⋮ Energetics of collapsible channel flow with a nonlinear fluid-beam model ⋮ The energetics of flow through a rapidly oscillating tube with slowly varying amplitude ⋮ Dynamics and spectral stability of soliton-like structures in fluid-filled membrane tubes ⋮ Global stability analysis of flexible channel flow with a hyperelastic wall

Cites Work

• Local and global instabilities of flow in a flexible-walled channel
• The energetics of flow through a rapidly oscillating tube. Part 1. General theory
• The energetics of flow through a rapidly oscillating tube. Part 2. Application to an elliptical tube
• Self-excited oscillations in three-dimensional collapsible tubes: simulating their onset and large-amplitude oscillations
• The flow‐field downstream of a collapsible tube during oscillation onset
• Instabilities in a plane channel flow between compliant walls
• High-frequency self-excited oscillations in a collapsible-channel flow
• Stability of the flow of a fluid through a flexible tube at high Reynolds number
• A generalized theory of viscous and inviscid flutter
• B<scp>IOFLUID</scp> M<scp>ECHANICS IN</scp> F<scp>LEXIBLE</scp> T<scp>UBES</scp>

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