Fluid-flow work machine having a main flow path in which there is arranged at least one row of blades having a shroud which, in relation to a longitudinal section of the fluid-flow work machine, is at least partially embedded in a recess of a component such that the recess is connected via openings to the main flow path, wherein a rotating relative movement of the component and the blades with respect to one another is realized, and wherein, during operation of the fluid-flow work machine, a leakage flow is established in the recess around the shroud owing to a pressure gradient across the openings, - wherein the shroud, in relation to a direction of the machine axis of the fluid-flow work machine, is arranged between two reference points and situated on a boundary of the main flow path of the fluid-flow work machine, - wherein the reference point is formed by a foot point of a trailing edge of a blade row situated upstream of the shroud, which foot point is closest to the shroud, or by a boundary point on the boundary of the main flow path, which faces the shroud, which is situated 25% of the axial extent of the blade row provided with the shroud upstream of a leading edge of the blade row provided with the shroud, - wherein the reference point is formed by a foot point of a leading edge of the blade row situated downstream of the shroud, which foot point is closest to the shroud, or by a boundary point on the boundary of the main flow path, which faces the shroud, which is situated 25% of the axial extent of the blade row provided with the shroud downstream of a trailing edge of the blade row provided with the shroud, - wherein, at at least one location on the circumference, the shroud, in at least one of the regions of the leading edge or trailing edge of the associated blade row, is positioned with a shroud overhang (dVK, dHK) beyond a rectilinear connection of the reference points and in the main flow path such that, owing to said shroud overhang (dVK, dHK), in the region of at least one opening of the recess, a curved profile of the effective main flow path delimitation and of the streamlines at the boundary of the main flow path is achieved, whereby the pressure gradient acting at the recess, which pressure gradient determines the leakage flow, is reduced, characterized in that, for better flow guidance, an overhanging flow-on edge of the shroud is provided with a rounding which ends upstream or downstream of the blade leading edge, and in that, for stagnation point formation and for better flow guidance, the overhanging flow-on edge of the shroud has an overlap (Ux) with the wall delimiting the recess upstream, such that the front delimiting wall of the recess as viewed in the main flow direction is oriented not in an axial direction but rather, at least locally, obliquely upstream with respect to the main flow direction, and, due to an oblique shape, with respect to the main flow direction, of the rear side of the shroud, in this region, a channel which is inclined and/or curved with respect to the radial direction is formed between the shroud and the surrounding component. - wherein the shroud, in relation to a direction of the machine axis of the fluid-flow work machine, is arranged between two reference points and situated on a boundary of the main flow path of the fluid-flow work machine, - wherein the reference point is formed by a foot point of a trailing edge of a blade row situated upstream of the shroud, which foot point is closest to the shroud, or by a boundary point on the boundary of the main flow path, which faces the shroud, which is situated 25% of the axial extent of the blade row provided with the shroud upstream of a leading edge of the blade row provided with the shroud, - wherein the reference point is formed by a foot point of a leading edge of the blade row situated downstream of the shroud, which foot point is closest to the shroud, or by a boundary point on the boundary of the main flow path, which faces the shroud, which is situated 25% of the axial extent of the blade row provided with the shroud downstream of a trailing edge of the blade row provided with the shroud, - wherein, at at least one location on the circumference, the shroud, in at least one of the regions of the leading edge or trailing edge of the associated blade row, is positioned with a shroud overhang (dVK, dHK) beyond a rectilinear connection of the reference points and in the main flow path such that, owing to said shroud overhang (dVK, dHK), in the region of at least one opening of the recess, a curved profile of the effective main flow path delimitation and of the streamlines at the boundary of the main flow path is achieved, whereby the pressure gradient acting at the recess, which pressure gradient determines the leakage flow, is reduced,