Resonances in Pulsatile Channel Flow with an Elastic Wall

Duo Xu, Matthias Heil, Thomas Seeböck, and Marc Avila
Phys. Rev. Lett. 125, 254501 – Published 15 December 2020
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Abstract

Interactions between fluids and elastic solids are ubiquitous in applications 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 nonconventional damping. We derive an analytical prediction for the amplitude of the oscillatory wall deformation, and thus the conditions under which resonances occur or vanish.

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  • Received 25 June 2020
  • Accepted 17 November 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.254501

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Duo Xu1,2,*, Matthias Heil3,†, Thomas Seeböck2, and Marc Avila1,2,4,‡

  • 1Center of Applied Space Technology and Microgravity (ZARM), University of Bremen, 28359 Bremen, Germany
  • 2Institute of Fluid Mechanics, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058 Erlangen, Germany
  • 3School of Mathematics, University of Manchester, Manchester, M13 9PL United Kingdom
  • 4MAPEX Center for Materials and Processes, University of Bremen, 28359 Bremen, Germany

  • *duo.xu@zarm.uni-bremen.de
  • m.heil@maths.manchester.ac.uk
  • marc.avila@zarm.uni-bremen.de

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Issue

Vol. 125, Iss. 25 — 18 December 2020

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