The dynamics of a dense layer of granular medium in the circulating pneumatic apparatus

The dynamics of the dense layer of a granular medium in a circulation pneumatic apparatus is considered. The model of a rapid flow of the dense granular medium is based on the assumption of incompressibility and constant concentration of the material. The rheology of the dilatant granular medium is described by a power-law model. The essential feature of the proposed model of the granular medium motion is setting the boundary conditions at the solid surface. The calculated granular medium velocity profile is in a good agreement with the experimental data. The calculations of the three-dimensional flow in the circulating pneumatic apparatus with symmetrical obstacles in the working part are presented. It is shown that the installation of the plates significantly increases the momentum transfer rate in the circumferential and radial directions. The model of the rapid motion allows calculating the distribution function of the residence time of the particles in the apparatus. The resulting three-dimensional distribution of the velocity field can be used for the simulation of the mixture component homogenization process.