Full-scale direct numerical simulation of two- and three-dimensional instabilities and rivulet formulation in heated falling films
Abstract
A thin film draining on an inclined plate has been studied numerically using finite element method. Three-dimensional governing equations of continuity, momentum and energy with a moving boundary are integrated in an arbitrary Lagrangian Eulerian frame of reference. Kinematic equation is solved to precisely update interface location. Rivulet formation based on instability mechanism has been simulated using full-scale computation. Comparisons with long-wave theory are made to validate the numerical scheme. Detailed analysis of two- and three-dimensional nonlinear wave formation and spontaneous rupture forming rivulets under the influence of combined thermocapillary and surface-wave instabilities is performed.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- September 1995
- Bibcode:
- 1995STIN...9611875K
- Keywords:
-
- Computational Fluid Dynamics;
- Finite Element Method;
- Fluid Films;
- Interface Stability;
- Liquid Flow;
- Liquid-Liquid Interfaces;
- Navier-Stokes Equation;
- Thin Films;
- Three Dimensional Flow;
- Two Dimensional Flow;
- Capillary Flow;
- Computational Grids;
- Grid Generation (Mathematics);
- Kinematic Equations;
- Surface Waves;
- Fluid Mechanics and Heat Transfer