000013940 001__ 13940
000013940 005__ 20161115094006.0
000013940 04107 $$aeng
000013940 046__ $$k2016-08-21
000013940 100__ $$aZhou, Zhi-Qiang
000013940 24500 $$aInstabilities of liquid-lined flexible tubes with interfacial surfactant

000013940 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000013940 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000013940 506__ $$arestricted
000013940 520__ $$2eng$$aThe linear instability and dynamic behaviours of a liquid-lined flexible tube are studied as a simplified model of pulmonary airway. The liquid-air interface is occupied with an insoluble surfactant. The primary flow can be driven by an external force (e.g. gravity), an interfacial shearing stress, or their combination. A modified lubrication approximation is proposed with the pressure being assumed to vary linearly with the radial position. The linear instability property of the system is examined using normal-mode analysis. For the extremely thin liquid film (ε →0), the approximate dispersion relations are derived. For liquid film with relative small thickness (e.g. ε = 0.1), though either the interfacial shearing stress or the external force destabilizes the interface, the combination can cause stabilization in the presence of surfactant. Island of stability, which is caused by the dual role of primary flow in affecting the instability, is detected in the σs − Bo plane.

000013940 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013940 653__ $$a

000013940 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000013940 720__ $$aZhou, Zhi-Qiang
000013940 8560_ $$ffischerc@itam.cas.cz
000013940 8564_ $$s139658$$uhttps://invenio.itam.cas.cz/record/13940/files/PO.FM08-1.12.47.pdf$$yOriginal version of the author's contribution as presented on CD, XMLout( page 1084, code PO.FM08-1.12.47).
000013940 962__ $$r13812
000013940 980__ $$aPAPER