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 ...
Highlights
Motivated by di↵erent applications, a large number of inviscid instability studies have been carried out onS
Ka↵el and Renardy [12] have considered the linear stability of plane Poiseuille flow between two parallel free surfaces and the analysis reveals that there are short wave instabilities for a velocity profile with a shear rate increasing towards the free surface
The results reveal that surface tension has a destabilizing e↵ect and that the unstable mode induced by surface tension is weak as compared to the dominant mode
Summary
Motivated by di↵erent applications, a large number of inviscid instability studies have been carried out on. TIFR Centre for Interdisciplinary Sciences, Tata Institute of Fundamental Research, Narsingi, Hyderabad 500075, India O. Our aim here is the same, and the viscous flow we would like to make a correspondence with is that of a two-fluid film flow on an inclined surface
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