Numerical Simulation of Stratified Coating Flow by a Variational Method

✍ Scribed by D. Berghezan; F. Dupret

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 773 KB
• Volume: 111
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1994.1052

✦ Synopsis

We present a method for calculating the two-dimensional steady state flow of stratified Newtonian liquids. Lagrange multipliers are used to impose the free surface conditions. When surface tension is not vanishing, contact angles are easily introduced. Inlet and outlet free sections are treated by means of a technique which allows us to calculate layer thicknesses as part of the result. Parametric studies are thereby facilitated. The solution procedure is derived from a variational approach. At each iteration, a linear system is obtained by linearizing the weak form of the problem. A finite element discretization is carried out on this continuous system. The mesh is adapted to the successive configurations of the free boundaries. III-shaped elements are corrected by exerting artificial forces on the mesh vertices. The global iterative scheme exhibits a quasi-quadratic convergence. The outflow from a slot and the curtain coating flow are analysed and illustrate the power of the method. C) 1994 Academic Press, thc.