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Showing 1 to 4 of 4 for “"thin film equation"”.
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Derivation of an Evolution Equation for Two-Dimensional Waves on Thin Films
We examine wave propagation on thin liquid films subjected to gravity, fluid friction, surface tension, and Marangoni effects. The physical configuration is a thin liquid layer on a planar incline. Following previous studies, the Marangoni effect is incorporated by a constant surface tension …
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Modeling and Analysis of Falling Liquid Films
… work, we consider the dynamics of falling liquid films in various geometries. We first ex- amine the dynamics of a thin film formed by a distributed liquid source on a vertical solid wall. The mathematical model is derived using the lubrication approximation and includes the effects of gravity, …
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Instabilities in newtonian films and nematic liquid crystal droplets
The instabilities of Newtonian films and nematic liquid crystal droplets within the framework of the long wave (lubrication) approximation are studied. For Newtonian films, it is found that, under destabilizing gravitational force, a contact line, modeled by a commonly used precursor film model, …
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Direct numerical simulation of bubble-bubble and droplet-droplet interaction using a Surface Thin Film model
… at a fundamental level, and employing a surface thin film model, to drastically reduce the computational effort required. A multiscale modelling approach is followed with the smoothed Volume Of Fluid simulation on the particle scale and the surface thin film model simulation on the thin- film …