The purpose of a coating flow is to deposit a this and uniform liquid film-in some case a film stratified in composition-on a flexible sheet or solid substrate. In this study, the governing equations are brought up and the coating flow is analyzed with finite element method.
A theory represented in this study rests on momentum and continuity equation. The solutions can be extracted from several techniques such as Galerkin's weighted residual method, interpolating functions, isoparametric mappings, and a free surface parametrization. Especially, isoparametric mappings, and a free surface parametrization are proven to be the reasonable approaches.
The nonlinear algebraric equations are solved by Newton's method. These equations are driven from Galerkin's weighted residual method and the finite element basis functions.
As the dimensionless groups (Re, Ca) and flow rate per unit width (Q) are varied, velocity profile and free surface are calculated.