diameter d is less than the inside diameter d of the grinding stock supply and auxiliary grinding body return line 22 this helps achieve a flow rate in the grinding stock supply line 51 which exceeds the flow rate in the line 22 and the pipe socket 49 the grinding chamber 15 of the agitator mill 1 is filled with auxiliary grinding bodies 52 to a considerable extent grinding stock is fed in usual manner to the grinding stock supply line 51 by means of a grinding stock pump 53 the grinding stock reaching the grinding chamber 15 of the agitator mill 1 via the grinding stock supply and auxiliary grinding body return line 22 and the grinding stock auxiliary grinding body supply connector 20 that is bent by 180 u00b0 in the grinding chamber 15 the grinding stock and the auxiliary grinding bodies 52 are subjected to an intensive dispersing grinding and shearing process by means of the high speed agitator elements 19 this mix flowing through the grinding chamber 15 in the direction towards the discharge connector 21 since in the present embodiment the discharge connector 21 is disposed concentrically of the central longitudinal axis 16 the auxiliary grinding bodies 52 are to a considerable extent centrifuged radially outwards owing to their higher density as compared to the grinding stock the grinding stock treated and a smaller part of auxiliary grinding bodies 52 will flow off through the discharge socket 21 and is supplied to the.