A lubrication-flow model for a free film in a corner is presented. The model, written in the hyperbolic coordinate system ξ = x − y, η = 2xy, applies to films that are thin in the η direction. The lubrication approximation yields two coupled evolution equations for the film thickness and the velocity field which, to lowest order, describes plug flow in the hyperbolic coordinates. A free film in...

This paper is about the analysis 0f the liquid discharge by falling film within a distillation tube. Specifically about some flow rates that can be used in this process, when we talk about film ́s discharge and maintenance. This aim of this paper is to study through simulations in CFD (Computational Fluid Dynamics) what influence the feeding flow rate has on the film ́s formation, its stability a...

Abstract: This paper deals with the influence of slip condition on a thin film flow of a third order fluid. We investigate the thin film flow of non-Newtonian fluid (i) when moves down an inclined plane and (ii) when moves on a moving belt with slip condition using the traditional perturbation technique and HPM. The results obtained using both techniques are compared. The expressions for volume...

STATEMENT OF PROBLEM For a luting agent to allow complete seating of prosthetic restorations, it must obtain an appropriate flow rate maintaining a minimum film thickness. The performance of recently introduced luting agents in this regard has not been evaluated. PURPOSE To measure and compare the film thickness and flow properties of seven resin-containing luting cements at different tempera...

In this study, we investigate the steady propagation of a liquid plug in a two-dimensional channel lined by a uniform, thin liquid film. The liquid contains soluble surfactant that can exist both in the bulk fluid and on the air-liquid interface. The Navier-Stokes equations with free-surface boundary conditions and the surfactant transport equations are solved using a finite volume numerical sc...

A model describing the behaviour of the gravityand shear-driven liquid films on heated microstructured walls is developed. The hydrodynamic stability of the film flow is investigated using the long-wave theory. It is shown that the longitudinal grooves stabilize the film flow both when the wall is completely or only partially covered by the film. The influence of the thermocapillarity on the fi...

Synchronized waving of grass blades in the presence of fluid flow has been observed in cases such as wheat field in wind, marine grass in tidal currents. The synchronous motion can have important environmental and ecological impact via mixing of fluid due to waving. We use a twodimensional analog of these phenomenon in a gravity driven soap film tunnel. Nylon filaments attached to the boundarie...