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Surface tension-induced global instability of planar jets and wakes
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Chemical Science and Engineering (CHE), Centres, Wallenberg Wood Science Center.
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Chemical Science and Engineering (CHE), Centres, Wallenberg Wood Science Center.ORCID iD: 0000-0003-3737-0091
2012 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 713, 632-658 p.Article in journal (Refereed) Published
Abstract [en]

The effect of surface tension on global stability of co-flow jets and wakes at a moderate Reynolds number is studied. The linear temporal two-dimensional global modes are computed without approximations. All but one of the flow cases under study are globally stable without surface tension. It is found that surface tension can cause the flow to be globally unstable if the inlet shear (or, equivalently, the inlet velocity ratio) is strong enough. For even stronger surface tension, the flow is restabilized. As long as there is no change of the most unstable mode, increasing surface tension decreases the oscillation frequency. Short waves appear in the high-shear region close to the nozzle, and their wavelength increases with increasing surface tension. The critical shear (the weakest inlet shear at which a global instability is found) gives rise to antisymmetric disturbances for the wakes and symmetric disturbances for the jets. However, at stronger shear, the opposite symmetry can be the most unstable one, in particular for wakes at high surface tension. The results show strong effects of surface tension that should be possible to reproduce experimentally as well as numerically.

Place, publisher, year, edition, pages
2012. Vol. 713, 632-658 p.
Keyword [en]
absolute/convective instability, interfacial flows (free surface), wakes/jets
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-109605DOI: 10.1017/jfm.2012.477ISI: 000311889500026Scopus ID: 2-s2.0-84870788998OAI: oai:DiVA.org:kth-109605DiVA: diva2:583764
Funder
Swedish Research Council
Note

QC 20130108

Available from: 2013-01-08 Created: 2013-01-08 Last updated: 2017-12-06Bibliographically approved

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Söderberg, L. Daniel

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Tammisola, OutiLundell, FredrikSöderberg, L. Daniel
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