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High-frequency self-excited oscillations in a collapsible-channel flow

Jensen, O E; Heil, M

Journal of Fluid Mechanics. 2003;481:235-268.

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Abstract

High-Reynolds-number asymptotics and numerical simulations are used to describe two-dimensional, unsteady, pressure-driven flow in a finite-length channel, one wall of which contains a section of membrane under longitudinal tension. Asymptotic predictions of stability boundaries for small-amplitude, high-frequency, self-excited oscillations are derived in the limit of large membrane tension. The oscillations are closely related to normal modes of the system, which have a frequency set by a balance between membrane tension and the inertia of the fluid in the entire channel. Oscillations can grow by extracting kinetic energy from the mean Polseuille flow faster than it is lost to viscous dissipation. Direct numerical simulations, based on a fully coupled finite-element discretization of the equations of large-displacement elasticity and the Navier-Stokes equations, support the predicted stability boundaries, and are used to explore larger-amplitude oscillations at lower tensions. These are characterized by vigorous axial sloshing motions superimposed on the mean flow, with transient secondary instabilities being generated both upstream and downstream of the collapsible segment.

Bibliographic metadata

Type of resource:
Content type:
Publication type:
Publication form:
Author(s):
Published date:
ISSN:
Volume:
481
Start page:
235
End page:
268
Total:
34
Pagination:
235-268
Digital Object Identifier:
10.1017/s002211200300394x
ISI Accession Number:
WOS:000183471000010
Related website(s):
  • Related website <Go to ISI>://WOS:000183471000010
General notes:
  • Jensen, OE Heil, M
Access state:
Active

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University researcher(s):

Record metadata

Manchester eScholar ID:
uk-ac-man-scw:166096
Created by:
Jensen, Oliver
Created:
6th August, 2012, 16:19:23
Last modified by:
Jensen, Oliver
Last modified:
7th September, 2012, 11:31:00

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