Abstract: In order to study the effectiveness of polishing a special-shaped surface with abrasive flow，the standard k-ε model and SIMPLEC algorithm are used，the polishing of rifled tube with polygonal spiral surface by the solid-liquid two-phase abrasive flow at different inlet pressures is numerically simulated to obtain the variations of dynamic pressure，turbulent kinetic energy and turbulent intensity at the near wall surface of polygonal spiral surface with the inlet pressure，and the effect of inlet pressure on the polishing quality of surface is explored. The solid-liquid two-phase flow polishing test is made to verify the accuracy of numerical analysis，and the morphologies of inner surface of rifled tube before and after the processing are detected. The results show that the surface roughness can be effectively improved by the solid-liquid two-phase abrasive flow，the texture of inner surface becomes smoother，its surface topography is ideal，and the surface roughness decreases from 1.450 μm to 0.296 μm after polishing; with the increase in inlet pressure，the surface textures of irregular surface parts after abrasive flow polishing are more compact，and the surface quality is improved obviously. Key

Key words: solid-liquidtwo-phaseflow, abrasiveflowpolishing, rifledtube, surfacetopograph