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TECHNICAL PAPERS

Capillary-elastic Instabilities of Liquid-lined Lung Airways

[+] Author and Article Information
J. Rosenzweig

Centre for Computational Science, Queen Mary & Westfield College, Mile End Road, London E1 4NS, UKe-mail: J.Rosenzweig@qmul.ac.uk

O. E. Jensen

Division of Applied Mathematics, School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UKe-mail: Oliver.Jensen@nottingham.ac.uk

J Biomech Eng 124(6), 650-655 (Dec 27, 2002) (6 pages) doi:10.1115/1.1516811 History: Received March 01, 2001; Revised July 01, 2002; Online December 27, 2002
Copyright © 2002 by ASME
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References

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Lambert,  R. K., Codd,  S. L., Alley,  M. R., and Pack,  R. J., 1994, “Physical Determinants of Bronchial Mucosal Folding,” J. Appl. Physiol., 77, pp. 1206–1216.
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Yager,  D., Butler,  J. P., Bastacky,  J., Israel,  E., Smith,  G., and Drazen,  J. M., 1989, “Amplification of Airway Constriction due to Liquid Filling of Airway Interstices,” J. Appl. Physiol., 66, pp. 2873–2884.
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Figures

Grahic Jump Location
The tube is initially circular and is lined with a film of uniform thickness; (a) As p is increased, the tube buckles (here into two lobes), and the film ruptures (b, c, d) to form a capillary meniscus, leaving part of the wall effectively dry. Opposite wall contact at s=π/2 is illustrated in (d).
Grahic Jump Location
Pressure-volume curves for n=2,Vl=π/5 and σ=0, 0.4, 0.6, 1. Film rupture is denoted by * and opposite wall contact by ○. Stable (unstable) solution branches are shown solid (dotted).
Grahic Jump Location
Pressure-volume curves for n=2,Vl=3π/5 and σ/σcrit=0, 1/2, 1,[[ellipsis]]7/2. Stable (unstable) solution branches are shown solid (dashed). The dash-dotted line shows the p–V curve for σ=0,Vfl=0.
Grahic Jump Location
(σ,Vl) parameter space, n=2. Insets show typical p–V curves for regions (i)–(v) of parameter space. Circles denote computed points, accurate to Vl±0.01; they are connected by straight lines.
Grahic Jump Location
Pressure-volume curves for n=4,Vl/π=0.15 and σ=0, 1, 2, 3, with σ increasing from right to left. Film rupture and reattachment are labeled by *. Stable (unstable) solution branches are shown solid (dashed). The centerlines of the pictures of half-lobes at various degrees of collapse correspond to their respective values of V.
Grahic Jump Location
(σ,Vl) parameter space, n=4. The typical p–V curves for regions (i)–(v) are as illustrated in Fig. 4. Circles denote computed points, accurate to Vl±0.01; they are connected by straight lines.

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