Viscoelastic Fluids in a Thin Domain: A Mathematical Study for a Non-Newtonian Lubrication Problem

G. Bayada, L. Chupin and S. Martin

A chapter in Mathematical Modeling, Simulation, Visualization and e-Learning, 2008, pp 315-321 from Springer

Abstract: 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.

Keywords: Free Boundary Problem; Viscoelastic Fluid; Reynolds Equation; Stokes System; Deborah Number (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-74339-2_19

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DOI: 10.1007/978-3-540-74339-2_19

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