An Asymptotic Model of Viscous Flow Limitation in a Highly Collapsed Channel-Reference-Cited by-同舟云学术

An Asymptotic Model of Viscous Flow Limitation in a Highly Collapsed Channel

Published:1998-08-01 Issue:4 Volume:120 Page:544-546
ISSN:0148-0731
Container-title:Journal of Biomechanical Engineering
language:en
Short-container-title:

Author:

Jensen O. E.¹

Affiliation:

1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 9EW, United Kingdom

Abstract

A viscous flow through a long two-dimensional channel, one wall of which is formed by a finite-length membrane, experiences flow limitation when the channel is highly collapsed over a narrow region under high external pressure. Simple approximate relations between flow rate and pressure drop are obtained for this configuration by the use of matched asymptotic expansions. Weak inertial effects are also considered.

Publisher

ASME International

Subject

Physiology (medical),Biomedical Engineering

Link

http://asmedigitalcollection.asme.org/biomechanical/article-pdf/120/4/544/5766818/544_1.pdf

Reference9 articles.

1. Jensen O. E. , 1997, “The thin liquid lining of a weakly curved cylindrical tube,” J. Fluid Mech., Vol. 331, pp. 373–403.

2. Jones A. F. , and WilsonS. D. R., 1978, “The film drainage region in droplet coalescence,” J. Fluid Mech., Vol. 87, pp. 263–288.

3. Kamm R. D. , and PedleyT. J., 1989, “Flow in collapsible tubes: a brief review,” ASME JOURNAL OF BIOMECHANICAL ENGINEERING, Vol. 111, pp. 177–179.

4. Lowe T. W. , and PedleyT. J., 1995, “Computation of Stokes flow in a channel with a collapsible segment,” J. Fluids Struct., Vol. 9, pp. 885–905.

5. Luo X.-Y. , and PedleyT. J., 1995, “A numerical simulation of steady flow in a 2-D collapsible channel,” J. Fluids Struct., Vol. 9, pp. 149–174.

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