Asymptotic behaviour of a class of incompressible, quasi-Newtonian fluids in thin pipes

摘要

The aim of this paper is to study the asymptotic behaviour of a wide class of incompressible quasi-Newtonian fluids flowing through a thin 3D pipe, with prescribed pressure variance at the ends. The small parameter is given by the ratio between the diameter of the cross section and the length. We prove that, if the domain satisfies a particular geometric condition at the ends, a complete asymptotic expansion can be obtained.