Numerical Analysis for Stability and Self-Excited Oscillation in Collapsible Tube Flow-Reference-Cited by-同舟云学术

Numerical Analysis for Stability and Self-Excited Oscillation in Collapsible Tube Flow

Published:1998-08-01 Issue:4 Volume:120 Page:468-475
ISSN:0148-0731
Container-title:Journal of Biomechanical Engineering
language:en
Short-container-title:

Author:

Hayashi S.¹,Hayase T.¹,Kawamura H.¹

Affiliation:

1. Institute of Fluid Science, Tohoku University, 2-1-1 Katahira, Aobaku, Sendai, 980-8577, Japan

Abstract

This paper describes numerical analysis of collapsible tube flow based on the one-dimensional distributed parameter model of Hayashi. In the present model the effect of flow separation at the collapsed part is replaced with simple viscous friction along the tube, so no ad-hoc modeling for flow separation in former studies is required. A stable semi-implicit numerical procedure based on the SIMPLE method is developed for the problem of flow and tube interaction. The numerical result for a characteristic self-excited oscillation agrees qualitatively with the experimental result. Nonlinear stability of the steady state dependent on the amplitude of the disturbance is numerically investigated and the result is compared with the linear stability analysis based on the former lumped parameter model. Finally, initiation of the self-excited oscillation is examined by applying the initial disturbance at the upstream end of the tube. The disturbance propagates in the downstream direction and is amplifled to the self-excited oscillation.

Publisher

ASME International

Subject

Physiology (medical),Biomedical Engineering

Link

http://asmedigitalcollection.asme.org/biomechanical/article-pdf/120/4/468/5766766/468_1.pdf

Reference15 articles.

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2. Cancelli C. , and PedleyT. J., 1985, “A Separated-Flow Model for Collapsible-Tube Oscillations,” Journal of Fluid Mechanics, Vol. 157, pp. 375–404.

3. Conrad W. A. , 1969, “Pressure-Flow Relationships in Collapsible Tubes,” IEEE Transactions on Bio-Medical Engineering, Vol. BME-16, pp. 284–295.

4. Griffiths D. J. , 1977, “Oscillations in the Outflow From a Collapsible Tube,” Medical and Biological Engineering and Computing, Vol. 15, pp. 357–362.

5. Hayashi, S., and Sato, K., 1988, “Static Characteristics of Collapsible Tubes,” Proc. 2nd International Symposium on Fluid-Control, Measurement, Mechanics, and Flow Visualization, Sheffield, England, pp. 234–238.

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1. References††The references are generally arranged alphabetically. However, for single-, double-, and multiple-author papers with the same first author, they are listed as follows:(i)the single-author papers first: e.g. SMITH, A. 1990 before SMITH, A. 1991;(ii)the double-author papers next, according to the second author’s name: e.g. SMITH, A. & BROWN, G. 1991 before SMITH, A. & GREEN, S. 1979;(iii)multiple-author papers, which will be cited in the text as, e.g. Smith et al. (1979), are listed last, strictly chronologically.§§All MERL Reports, e.g. Païdoussis & Denise (1970) are available on-line via: www.digital.library.mcgill.ca/pse/;Fluid-Structure Interactions;2016

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