The characteristics of abrasive flow machining (AFM) make it a suitable method for complex holes and curved surface machining. However, the conventional AFM methods have difficulty achieving uniform roughness of radial distribution in polishing of polygonal holes, because the radial distance of polygonal holes is not symmetric, and the abrasive forces are non-uniform in the corner edges. Therefore, abrasive machining of gels with helical passageways is proposed to perform multiple paths of abrasive media, whose flowing behaviour enhances polishing effectiveness by increasing the abrasive surface area and radial shear forces. In this research, an analytical model has been developed in order to understand the behaviour of motion of the abrasive medium in different passageways by utilizing CFD-ACE+ software; then, a series of AFM experiments were utilized to verify the simulated results. Numerical results revealed that the helical passageways created interactive changes in the velocities in two axes, inducing a multiple direction motion of the abrasive media. Moreover, the percentage change of the strain rate deviation could be reduced from 72 to 40 % when a square passageway was replaced by a helical passageway. The small strain rate deviation produces good uniformity of a polygonal hole in AFM, and experimental results indicate that the helical passageways perform better than the polygonal passageways during AFM in terms of efficiency. Additionally, helical passageways create polishing uniformity of the polygonal holes. These results are in accordance with the simulated results.