Flows of granular media still attract attention due to the difficulty to accurately model them. The continuum closure equation allowing predicting such flows are still to be assessed, including in the simplest situations: parallel or steady state dense flows. It has been developed in the recent year a non-Newtonian rheology, so-called µ(I)-rheology, where some viscosity is introduced by a dependency of the friction coefficient on the strain rate: µ depends on the Inertial number, which compares the collisional stress with the mean pressure.

In simple configurations (parallel and steady-states flows), we explore the consequences of this dependency for surface slows on slopes and annular flows. In both cases, the boundary between the dead zones and sheared zones are semi-analytically obtained.

These solutions allow us to predict the slope stability for cohesive materials, the thickness of the sheared zones and their localisation. This last point is of importance in the case of modified Couette shear cells if they are used in the purpose to build a granular rheometre.