Book ChapterDOI
Stability Analysis of a Film Flow Down an Incline in the Presence of a Floating Flexible Membrane
Muhammad Sani,Harekrushna Behera,Sukhendu Ghosh +2 more
- Vol. 308, pp 253-263
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TLDR
In this article, the effects of floating flexible membrane on the instability of a gravity-driven flow down an incline was explored using normal-mode analysis, where the influence of membrane tension was taken into account in terms of stress jump at the free surface.Abstract:
The present study deals with the effects of floating flexible membrane on the instability of a gravity-driven flow down an incline. Linear stability of the flow system is explored using normal-mode analysis. Free surface gravity-driven flow is unstable at much lower Reynolds numbers. Instability of such a flow can be controlled either by changing behavioral of the lower wall or by altering the surface waves at the free surface which is done here by including a floating flexible membrane at the top of the liquid layer. Influence of membrane tension is taken into account in terms of stress jump at the free surface. The Orr-Sommerfeld system of the flow is solved numerically using spectral collocation method. The results displays a destabilizing role of membrane tension for a wide range of parameters. The growth rate of the perturbation waves increases with an increase of membrane tension and the critical Reynolds number becomes smaller. Therefore, it is possible to enhance the instability of the flow system with help of membrane properties, which may be useful in Ocean engineering and coating industries.read more
Citations
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Journal ArticleDOI
Effect of a floating elastic membrane for stabilizing the film flow down a porous inclined plane
Journal ArticleDOI
Quadratic Polynomial Velocity Profile in Laminar Boundary Layer Thickness
TL;DR: In this article , two dimensional Navier-Stokes have been applied to an incompressible viscous fluid motion down an inclined plane with net flow and boundary layer thickness analysis.
References
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Journal ArticleDOI
On the instability of a falling film due to localized heating
TL;DR: In this article, the stability of a thin film falling under the influence of gravity down a locally heated plate was analyzed and the dependence of the critical Marangoni number on the associated Bond and Biot numbers, non-dimensional measures of the curvature pressure and heat-conductive properties of the film respectively.
Journal ArticleDOI
Effect of surfactant on the stability of film flow down an inclined plane
Mark Blyth,C. Pozrikidis +1 more
TL;DR: In this article, the effect of insoluble surfactants on the stability of the gravity-driven flow of a liquid film down an inclined plane was investigated by normal-mode analysis, and numerical solutions of the Orr-Sommerfeld equation reveal the occurrence of a stable Marangoni mode and a possibly unstable Yih mode.
Journal ArticleDOI
Interactions of a horizontal flexible membrane with oblique incident waves
I. H. Cho,Moo-Hyun Kim +1 more
TL;DR: In this paper, the interaction of oblique monochromatic incident waves with a horizontal flexible membrane is investigated in the context of two-dimensional linear hydro-elastic theory.
Journal ArticleDOI
Instabilities of a liquid film flowing down an inclined porous plane
Rong Liu,Qiu-Sheng Liu +1 more
TL;DR: The problem of a film flowing down an inclined porous layer is considered and Darcy's law is used to describe the porous layer and the coupling equations of the fluid and the porous medium are solved rather than the decoupled equation of the one-sided model used in previous works.
Journal ArticleDOI
Thin film flowing down a curved surface
TL;DR: In this paper, the authors analyzed the film flow down a curved surface by an orthogonal curvilinear system and a perturbation in the small ratio of film thickness to minimum radius of curvature.