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Inviscid instability of two-fluid free surface flow down an incline
The University of Nottingham, UK.
2015 (English)In: Meccanica (Milano. Print), ISSN 0025-6455, E-ISSN 1572-9648, 1-18 p.Article in journal (Refereed) Published
Abstract [en]

The inviscid temporal stability analysis of two-fluid parallel shear flow with a free surface, down an incline, is studied. The velocity profiles are chosen as piecewise-linear with two limbs. The analysis reveals the existence of unstable inviscid modes, arising due to wave interaction between the free surface and the shear-jump interface. Surface tension decreases the maximum growth rate of the dominant disturbance. Interestingly, in some limits, surface tension destabilises extremely short waves in this flow. This can happen because of the interaction with the shear-jump interface. This flow may be compared with a corresponding viscous two-fluid flow. Though viscosity modifies the stability properties of the flow system both qualitatively and quantitatively, there is qualitative agreement between the viscous and inviscid stability analysis when the less viscous fluid is closer to the free surface.

Place, publisher, year, edition, pages
Springer, 2015. 1-18 p.
National Category
Applied Mechanics
URN: urn:nbn:se:kth:diva-198185DOI: 10.1007/s11012-016-0455-6OAI: diva2:1055963
APS Division of Fluid Dynamics meeting 2015

QC 20161219

Available from: 2016-12-13 Created: 2016-12-13 Last updated: 2016-12-19Bibliographically approved

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The full text will be freely available from 2017-05-25 16:22
Available from 2017-05-25 16:22

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Tammisola, Outi
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