NUMERICAL MODELING OF FILLING OF AN AXISYMMETRIC CHANNEL WITH A NONLINEAR VISCOPLASTIC FLUID WITH ALLOWANCE FOR THE P-EFFECT K. A. Chekhonin and P. A. Sukhinin UDC 532.522:518.13 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 P-effect) is taken into consideration. Numerical studies of the process of filling of an axisymmetric region are carried out. An influence of the P-effect on the hydrodynamic process of filling is shown. JEPTER74920199915 JEPTER7492015