After describing the process allowing obtaining classical Reynolds equation describing thin flow model for Newtonian fluids, we give a short description of the present state of art in the modelling of various non Newtonian thin flows. At last, we give some recent results concerning visco-elastic flows for which it is not possible to gain a generalized Reynolds equation. At the contrary, the thin flow corresponding model relies primary on the computation of the velocity field.
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Bayada, G., Chupin, L., Martin, S. (2008). Viscoelastic Fluids in a Thin Domain: A Mathematical Study for a Non-Newtonian Lubrication Problem. In: Konaté, D. (eds) Mathematical Modeling, Simulation, Visualization and e-Learning. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74339-2_19
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