(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2007) Afanasiev, Konstantin; Münch, Andreas; Wagner, Barbara
In this paper the drag-out problem for shear-thinning liquids at
variable inclination angle is considered. For this free boundary problem
dimension-reduced lubrication equations are derived for the most commonly
used viscosity models, namely, the power-law, Ellis and Carreau model. For
the resulting lubrication models a system of ordinary differential equation
governing the steady state solutions is obtained. Phase plane analysis is
used to characterize the type of possible steady state solutions and their
dependence on the rheological parameters.
