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Updated: Nov 22, 2025

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Published on: January 28, 2022
Resonances in Pulsatile Channel Flow with an Elastic Wall
Duo Xu1,2, Matthias Heil3, Thomas Seeböck2
1Center of Applied Space Technology and Microgravity (ZARM), University of Bremen, 28359 Bremen, Germany.
This study models unsteady fluid flow in elastic vessels using a Starling resistor. The system behaves like a harmonic oscillator, revealing conditions for resonance in elastic flows.
Area of Science:
- Fluid dynamics
- Solid mechanics
- Biomechanics
Background:
- Fluid-solid interactions are critical in engineering and physiology.
- Elastic vessels are common in biological systems and engineered structures.
Purpose of the Study:
- To model pulsatile flow through a two-dimensional Starling resistor.
- To analyze the dynamic response of elastic vessels to unsteady flow.
- To understand resonance phenomena in fluid-elastic solid systems.
Main Methods:
- Numerical solution of fluid flow equations.
- Simulation of large-displacement elasticity.
- Analysis of system dynamics as a forced harmonic oscillator.
Main Results:
- The Starling resistor model exhibits nonconventional damping.
- An analytical prediction for wall deformation amplitude was derived.
- Conditions for the occurrence and vanishing of resonance were identified.
Conclusions:
- The system's response is analogous to a forced harmonic oscillator.
- Understanding resonance is key for designing and analyzing elastic fluid systems.
- This model provides insights into unsteady flow in physiological and engineered elastic conduits.
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