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Effect of surfactants on the instability of a two-layer film flow down an inclined plane
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. Department of Chemical Engineering, Indian Institute of ScienceBangalore, Karnataka, India .
2014 (English)In: Physics of fluids, ISSN 1070-6631, E-ISSN 1089-7666, Vol. 26, no 9, 094105- p.Article in journal (Refereed) Published
Abstract [en]

The effect of insoluble surfactants on the instability of a two-layer film flow down an inclined plane is investigated based on the Orr-Sommerfeld boundary value problem. The study, focusing on Stokes flow [P. Gao and X.-Y. Lu, "Effect of surfactants on the inertialess instability of a two-layer film flow," J. Fluid Mech. 591, 495-507 (2007)], is further extended by including the inertial effect. The surface mode is recognized along with the interface mode. The initial growth rate corresponding to the interface mode accelerates at sufficiently long-wave regime in the presence of surface surfactant. However, the maximum growth rate corresponding to both interface and surface modes decelerates in the presence of surface surfactant when the upper layer is more viscous than the lower layer. On the other hand, when the upper layer is less viscous than the lower layer, a new interfacial instability develops due to the inertial effect and becomes weaker in the presence of interfacial surfactant. In the limit of negligible surface and interfacial tensions, respectively, two successive peaks of temporal growth rate appear in the long-wave and short-wave regimes when the interface mode is analyzed. However, in the case of the surface mode, only the long-wave peak appears.

Place, publisher, year, edition, pages
2014. Vol. 26, no 9, 094105- p.
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-155489DOI: 10.1063/1.4896144ISI: 000342852400036Scopus ID: 2-s2.0-84907420827OAI: oai:DiVA.org:kth-155489DiVA: diva2:762382
Note

QC 20141111

Available from: 2014-11-11 Created: 2014-11-06 Last updated: 2017-12-05Bibliographically approved

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  • apa
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Output format
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