Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
650653 | European Journal of Mechanics - B/Fluids | 2010 | 7 Pages |
Abstract
We investigate exact solutions of the Navier-Stokes equations for steady rectilinear pendent rivulets running under inclined surfaces. First we show how to find exact solutions for sessile or hanging rivulets for any profile of the substrate (transversally to the direction of flow) and with no restrictions on the contact angles. The free surface is a cylindrical meniscus whose shape is determined by the static equilibrium between gravity and surface tension, by the shape of the solid surface, and by the contact angles on both contact lines. Given this, the velocity field can be obtained by integrating numerically a Poisson equation. We then perform a systematic study of rivulets hanging below an inclined plane, computing some of their global properties, and discussing their stability.
Keywords
Related Topics
Physical Sciences and Engineering
Chemical Engineering
Fluid Flow and Transfer Processes
Authors
Andrés Jorge Tanasijczuk, Carlos Alberto Perazzo, Julio Gratton,