Finite element simulation of dip coating, II: Non‐Newtonian fluids

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Abstract
We apply in this paper the augmented Lagrangian method to the study of various non‐Newtonian fluid flow problems, and in particular the dip coating process. We only present in this second part the treatment specific to the non‐linearities involved in the constitutive equations, the first part having largely been concerned with the general description of the approximation used.Two rheological models illustrating different rheological behaviours are used to simulate dip coating process: the Carreau‐A model for shear‐thinning properties of the viscosity and a truncated second‐order model for a Newtonian behaviour in viscosity with elastic properties.Numerical predictions show a very good agreement with experimental data for the second‐order model. The discrepancy observed in the other case can be explained qualitatively by the elastic properties exhibited by the shear‐thinning fluids used: this elasticity is not taken into account in the Carreau‐A model.

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