Penalty-finite element analysis of time-dependent two-dimensional free surface film flows
Abstract
The Navier-Stokes system with shear-free balanced normal stress and with kinematic boundary conditions at the free surface, which governs the flow of incompressible Newtonian liquid films, is presently solved by the penalty/Galerkin/FEM technique, employing both a tesselation that deforms with the free surface and an implicit time domain method. Results are given for the case of transient flow out of a coating slot, and a more brief presentation of results is made for the cases of the capillary leveling of a disturbed film, the damping of standing waves, and evolving disturbances in a film flowing down an inclined plane.
- Publication:
-
Finite Element Flow Analysis
- Pub Date:
- 1982
- Bibcode:
- 1982fefa.proc..113K
- Keywords:
-
- Computational Fluid Dynamics;
- Finite Element Method;
- Fluid Films;
- Galerkin Method;
- Incompressible Flow;
- Penalty Function;
- Two Dimensional Flow;
- Capillary Flow;
- Inviscid Flow;
- Navier-Stokes Equation;
- Newtonian Fluids;
- Steady Flow;
- Time Dependence;
- Unsteady Flow;
- Fluid Mechanics and Heat Transfer