Analysis of Flow in a Two-Dimensional Collapsible Channel Using Universal “Tube” Law

[+] Author and Article Information
Y. Matsuzaki, T. Ikeda, T. Kitagawa, S. Sakata

Department of Aerospace Engineering, Nagoya University, Chikusa, Nagoya, Japan 464-01

J Biomech Eng 116(4), 469-476 (Nov 01, 1994) (8 pages) doi:10.1115/1.2895798 History: Received October 22, 1993; Online March 17, 2008


This paper presents an extension of the previous analyses on the collapsible tubeflow problem using a simplified model based on a two-dimensional channel conveying a one-dimensional flow. The main objective of the paper is to exploit the static and dynamic behavior of the model, by comparing with available experimental data and examining the accuracy of calculated results obtained for different numerical resolutions. The main revision from the previous analyses is the incorporation of a universal “tube” law that is valid for a wide range of positive and negative transmural pressure. Most of the numerical results agree qualitatively with the experimental observations. Self-excited high-frequency oscillation with very small amplitude of the membrane wall is, however, predicted to occur in a flow range where the slope of the pressure drop curve is positive. It is seen that the high-frequency oscillation is associated with the motion of the separation point of the flow.

Copyright © 1994 by The American Society of Mechanical Engineers
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