Abstract: In this paper, the gas-solid two-phase flow was studied for the vertical screw conveyor including the analyse of distribution function of the particles circumferential velocity in the radial direction, the decision of the best fill rate, the best screw speed and the critical Reynolds number when TCP-SHV formed in the vertical screw conveyor. Starting with the helix angle and vorticity of the particle flow, the method was carried out based on theoretical analysis and EDEM+FLUENT simulation analysis. Finally, the formula was deduced for the critical Reynolds number and the best throughput under different friction coefficient. Results show that, the method for TCP-SHV solving is efficient and the conveying capacity can be increased by about 20%.