Non-linear visco-plastic fluid flow with free surface under filling up the axi symmetric channel

This paper deals with modeling slow $( Re\ll 1)$ non-linear visco-plastic fluid flow with free surface, realized under filling up the axisymmetric domain on gravity field. Basing on the finite elements method developed is numericaly stable algorithm for a calculation problem. Numerical researches of filling up the area between two coaxial cylinders and an analysis for a move of a single “macro-volume” of fluid have been given. Mass distribution of fluid parts is investigated.