Inviscid instability of two-fluid free surface flow down an incline

Ghosh, Sukhendu and Usha, Ranganathan and Govindarajan, Rama and Tammisola, Outi (2016) Inviscid instability of two-fluid free surface flow down an incline. Meccanica . ISSN 1572-9648 (In Press)

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Abstract

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.

Item Type: Article
Schools/Departments: University of Nottingham UK Campus > Faculty of Engineering > Department of Mechanical, Materials and Manufacturing Engineering
Depositing User: Tammisola, Outi-leena
Date Deposited: 12 May 2016 13:47
Last Modified: 14 Sep 2016 15:05
URI: http://eprints.nottingham.ac.uk/id/eprint/33266

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