The energetics of flow through a rapidly oscillating tube with slowly varying amplitude

DOI10.1098/rsta.2011.0106zbMath1228.76061OpenAlexW2165622916WikidataQ48128668 ScholiaQ48128668MaRDI QIDQ3104815

Matthias Heil, Robert J. Whittaker, Sarah L. Waters

Publication date: 17 December 2011

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

Full work available at URL: https://doi.org/10.1098/rsta.2011.0106

zbMATH Keywords

fluid-structure interactionmultiple-scale analysisstarling resistor

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Incompressible viscous fluids (76D99)

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Cites Work

• Local and global instabilities of flow in a flexible-walled channel
• A study of bifurcation behaviour of a model of flow through a collapsible tube
• Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes
• A Rational Derivation of a Tube Law from Shell Theory
• 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
• Sensitivity of unsteady collapsible channel flows to modelling assumptions
• High-frequency self-excited oscillations in a collapsible-channel flow
• B<scp>IOFLUID</scp> M<scp>ECHANICS IN</scp> F<scp>LEXIBLE</scp> T<scp>UBES</scp>

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