Journal ArticleDOI
The effects of variable fluid properties on thin film stability
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In this article, the impact of variable fluid properties on the stability of gravity-driven flow of a thin film down a heated incline was investigated, and a stability analysis was carried out whereby the governing linearized perturbation equations were expanded in powers of the wavenumber.Abstract:
A theoretical investigation has been conducted to study the impact of variable fluid properties on the stability of gravity-driven flow of a thin film down a heated incline. The incline is maintained at a uniform temperature which exceeds the temperature of the ambient gas above the fluid and is thus responsible for heating the thin fluid layer. The variable fluid properties are allowed to vary linearly with temperature. It is assumed that long-wave perturbations are most unstable. Based on this, a stability analysis was carried out whereby the governing linearized perturbation equations were expanded in powers of the wavenumber which is a small parameter. New interesting results illustrating how the critical Reynolds number and perturbation phase speed depend on the various dimensionless parameters have been obtained.read more
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Physical Fluid Dynamics
TL;DR: The physical fluid dynamics is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can download it instantly.
Journal ArticleDOI
Instability of a binary liquid film flowing down a slippery heated plate
TL;DR: In this paper, the stability of a binary liquid film flowing down a heated inclined surface is investigated by coupling the Navier-Stokes equations governing the flow with equations for the concentration and temperature.
Journal ArticleDOI
Long wave instability of thin film flowing down an inclined plane with linear variation of thermophysical properties for very small Biot number
Abstract: We investigated interfacial instability of a thin liquid film flowing down an inclined plane, considering the linear variation of fluid properties such as density, dynamical viscosity, surface tension and thermal diffusivity, for the small variation of temperature. Using long wave expansion method and considering order analysis specially for very small Biot number ( B i ) we obtained a single surface equation in terms of the free surface h ( x , t ) . Considering sinusoidal perturbation method we carried out linear stability analysis and obtained the critical Reynolds number ( R e c ) and linear phase speed ( c r ) , both of which depend on K μ , K ρ but independent of K σ , K κ . Using the method of multiple scales, weakly nonlinear stability analysis is carried out. We demarcated subcritical, supercritical, unconditional and explosive zones and their variations for the variation of K μ , K ρ and K σ . Also we discussed the variations of threshold amplitude in the subcritical as well as in the supercritical zones for the variation of K μ , K ρ and K σ . Finally we discussed the variation of nonlinear wave speed N c r for the variation of K μ , K ρ and K σ .
Journal ArticleDOI
New asymptotic heat transfer model in thin liquid films
TL;DR: In this article, the authors presented a model of heat transfer occurring through a quid film flowing down a vertical wall, which was formally derived using the method of asymptotic expansions by introducing appropriately chosen dimensionless variables.
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Instability of gravity-driven flow of a heated power-law fluid with temperature dependent consistency
TL;DR: In this paper, the instability of a liquid layer flowing along a heated inclined plane was investigated and a theoretical model with a power-law constitutive relation was developed to capture the temperature variation in the rheology of the fluid.
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Journal ArticleDOI
Wave formation in laminar flow down an inclined plane
TL;DR: In this article, it was shown that a class of undamped waves exists for all finite values of the Reynolds number R, and that the rates of amplification of unstable waves become very small when R is made fairly small, and their wavelengths to become very large; this provides a satisfactory explanation for the apparent absence of waves in some experimental observations.
Journal ArticleDOI
Stability of Liquid Flow down an Inclined Plane
TL;DR: In this paper, the stability of a liquid layer flowing down an inclined plane is investigated, and a new perturbation method is used to furnish information regarding stability of surface waves for three cases: the case of small wavenumbers, of small Reynolds numbers, and of large wavenifications.
Journal ArticleDOI
Les tourbillons cellulaires dans une nappe liquide. - Méthodes optiques d'observation et d'enregistrement
TL;DR: HAL as mentioned in this paper is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not, which may come from teaching and research institutions in France or abroad, or from public or private research centers.
Book
Falling Liquid Films
TL;DR: A detailed review of state-of-the-art theoretical, analytical and numerical methodologies for the analysis of dissipative wave dynamics and pattern formation on the surface of a film falling down a planar inclined substrate is given in this article.