A mathematical model is set to evaluate the 3-D dense solid-liquid two-phase turbulent flow in a non-clogging mud pump, the flow feature in the impeller channel is simulated with the tool of IPSA. Meanwhile, resort to TECPLOT as the post-processor, the simulation results is visualized. The results show the main flow characteristics:There exists backflow and aberrant velocities at inlet area and a relative velocity slip between two phases; A jet-wake flow pattern is discerned around the shroud-suction side area; The relative velocity vector of solid phase is closer to the pressure surface than that of liquid phase and the trend is more obvious with the increase of diameter; The kinetic energy of turbulence k and the dissipation rate ε reach their peaks at the corner of pressure and suction surface. The simulation results show a good agreement with the experimental flow features in the impeller channel, which prove the turbulent model used is valid and provide a theoretical design basis to non-clogging pumps.