Numerical modeling of filling of an axisymmetric channel with a nonlinear viscoplastic fluid with allowance for the π-effect

The finite-element method is applied to describe the slow flow (Re << 1) of a nonlinear-viscoplastic fluid described by the Shul’man rheological model, which is implemented on filling of vertical volumes in the gravity field. The sliding effect of the fluid near a solid wall (the II-effect) is taken into consideration. Numerical studies of the process of filling of an axisymmetric region are carried out. An influence of the II-effect on the hydrodynamic process of filling is shown.