Subcritical Flutter in Collapsible Tube Flow: A Model of Expiratory Flow in the Trachea

[+] Author and Article Information
C. Walsh, P. A. Sullivan, J. S. Hansen

Institute for Aerospace Studies, University of Toronto, Ontario, Canada

J Biomech Eng 113(1), 21-26 (Feb 01, 1991) (6 pages) doi:10.1115/1.2894080 History: Received January 06, 1989; Revised September 30, 1990; Online March 17, 2008


Using an axisymmetric geometry that retains certain qualitative features of the trachea, we extend one-dimensional modeling of flow in collapsible tubes to include both curved shell effects and, for untethered tubes, wall inertia. A systematic scaling of the finite deformation membrane equations leads to an approximate set which is consistent with the one-dimensional fluid model; axial and normal wall variables are coupled elastically, but only axial inertia is retained. Transverse curvature causes elastic coupling that can give rise to axial wall motion and a flutter instability. The source of instability is the product of a nonzero reference axial curvature with axial tension variation due to axial stretching. The numerical results suggest that this mechanism may be significant even in processes which cannot be assumed one-dimensional.

Copyright © 1991 by The American Society of Mechanical Engineers
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