Fully Developed Liquid Layer Flow Over a Convex Corner Considering Surface Tension Effects Using Numerical Methods

In this paper, liquid layer flow considering surface tension effect, encountering a convex corner has been discussed. The flow profile far upstream is fully developed. Half-Poiseuille gives exact solution far upstream. Due to small disturbance of 0(δ), matched asymptotic technique has been opted to get the linearized solutions far downstream. The obtained equations have been solved numerically using Chebyshev Collocation method in collaboration with finite difference scheme. These results have been verified via computational work. The aforementioned method is beneficial, as we have successfully plotted graphs for the cases s = 0.1 and 0.2. Eventually, we have compared obtained results with the Gajjar’s results [3

Surface tension effects on fully developed liquid layer flow over a convex corner

This investigation deals with the study of fully developed liquid layer flow along with surface tension effects, confronting a convex corner in the direction of fluid flow. At the point of interaction, the related equations are formulated using double deck structure and match asymptotic techniques. Linearized solutions for small angle are obtained analytically. The solutions corresponding to similar flow neglecting surface tension effects are also recovered as special case of our general solutions. Finally, the influence of pertinent parameters on the flow, as well as a comparison between models, are shown by graphical illustration