Resonances in pulsatile channel flow with an elastic wall
Fluid Dynamics
2021-01-15 v2
Abstract
Interactions between fluids and elastic solids are ubiquitous in application ranging from aeronautical and civil engineering to physiological flows. Here we study the pulsatile flow through a two-dimensional Starling resistor as a simple model for unsteady flow in elastic vessels. We numerically solve the equations governing the flow and the large-displacement elasticity and show that the system responds as a forced harmonic oscillator with non-conventional damping. We derive an analytical prediction for the amplitude of the oscillatory wall deformation, and thus the conditions under which resonances occur or vanish.
Cite
@article{arxiv.2006.13695,
title = {Resonances in pulsatile channel flow with an elastic wall},
author = {Duo Xu and Matthias Heil and Thomas Seeböck and Marc Avila},
journal= {arXiv preprint arXiv:2006.13695},
year = {2021}
}