![]() ![]() ![]() The governing equations in the light of LAT (Lubrication Approximation Theory) are nondimensionalized and the solutions for the velocity, volumetric flow rate and the pressure gradient are calculated using Adomian decomposition method and numerical method. In this paper, a mathematical model of the blade coating of the viscoelastic Carreau fluid which passes through the gap between the fixed blade and the moving substrate is constructed. Data on blade loading, obtained using a strongly elastic polymer solution, are compared to these mathematical models, and discrepancies are noted. The zeroth-order (lubrication) equations are solved by the method of Steidler and Horowitz, and predictions for coating thickness and blade loading agree quite well with those obtained from a FEM solution of the full equations of motion for a power law fluid. The effect of a non-Newtonian viscosity is explored by adopting a purely viscous power law model. ![]() For Newtonian fluids, agreement between these mathematical models, and data on blade loading, is quite good. A numerical solutions by the Finite Element Method (FEM) is compared to the analytical solutions. A perturbation solution to the Navier-Stokes equations yields a lubrication theory with first order corrections for curvature and inertia. A single simple geometry, a blade over a rotating roll, is considered. Coating of viscous and viscoelastic liquids is examined both theoretically and experimentally. ![]()
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