Fluid-flow machine with a main flow path in which at least one row of blades is arranged, with at least one blade end of a blade row being firmly connected to the main flow path confinement and at least one fluid-supplied peripheral chamber being provided in the area of this blade end outside the main flow path confinement, with at least one outlet being provided in the area of the fixed blade end in the vicinity of at least one blade suction side through which fluid can be issued from the at least one peripheral chamber onto the surface of the main flow path confinement into the main flow path, wherein a.) the fluid jet, produced by virtue of the shape and orientation of the at least one outlet is oriented, immediately upon its entry into the main flow path, essentially tangentially to the contour of the main flow path confinement when viewed in the meridional plane (x-r plane) and essentially parallelly to the local tangent to the skeleton line of the nearest profile of a blade on the blade end, and essentially in the direction of the main flow on the blade end, when viewed in the plane established by the circumferential direction u and the meridional direction m, b.) the opening of the at least one outlet is arranged on the main flow path confinement in the plane established by the circumferential direction u and the meridional direction m upstream of the trailing edge line between the convex side of the skeleton line of the nearest profile of a blade and a limiting line, with the skeleton line being formed by the centerline of the profile of a blade and tangential extensions at a leading and a trailing edge, and with the limiting line passing through the passage formed between two blade profiles at a constant distance a = W + 0.5 d to the convex side of the skeleton line, with W being the width of the blade passage at the throat and d being the thickness of the profile at this throat, c.) the extension and the course of an outlet opening provided individually on the main flow path confinement are characterized by an outlet trajectory, with the outlet trajectory being formed by the transversal centerline of the outlet opening, d.) the extension and the course of a row of outlet openings provided side by side on the main flow path confinement are characterized by an outlet trajectory, with the outlet trajectory being formed by the connecting line through the centers of the rowed outlet openings, e.) at least one outlet trajectory has, throughout its course, values of the relative inclination angle α in the range 0°< α < 100°, with the relative inclination angle α being measured between the local tangent to the outlet trajectory in a point T and the local tangent to the skeleton line in the root point of the perpendicular from T on the skeleton line, characterized in that the opening of the at least one outlet is provided on the main flow path confinement in the plane established by the circumferential direction u and the meridional direction m upstream of the throat of the passage formed between two adjacent profiles of blades. a.) the fluid jet, produced by virtue of the shape and orientation of the at least one outlet is oriented, immediately upon its entry into the main flow path, essentially tangentially to the contour of the main flow path confinement when viewed in the meridional plane (x-r plane) and essentially parallelly to the local tangent to the skeleton line of the nearest profile of a blade on the blade end, and essentially in the direction of the main flow on the blade end, when viewed in the plane established by the circumferential direction u and the meridional direction m, b.) the opening of the at least one outlet is arranged on the main flow path confinement in the plane established by the circumferential direction u and the meridional direction m upstream of the trailing edge line between the convex side of the skeleton line of the nearest profile of a blade and a limiting line, with the skeleton line being formed by the centerline of the profile of a blade and tangential extensions at a leading and a trailing edge, and with the limiting line passing through the passage formed between two blade profiles at a constant distance a = W + 0.5 d to the convex side of the skeleton line, with W being the width of the blade passage at the throat and d being the thickness of the profile at this throat, c.) the extension and the course of an outlet opening provided individually on the main flow path confinement are characterized by an outlet trajectory, with the outlet trajectory being formed by the transversal centerline of the outlet opening, d.) the extension and the course of a row of outlet openings provided side by side on the main flow path confinement are characterized by an outlet trajectory, with the outlet trajectory being formed by the connecting line through the centers of the rowed outlet openings, e.) at least one outlet trajectory has, throughout its course, values of the relative inclination angle α in the range 0°< α < 100°, with the relative inclination angle α being measured between the local tangent to the outlet trajectory in a point T and the local tangent to the skeleton line in the root point of the perpendicular from T on the skeleton line, characterized in that the opening of the at least one outlet is provided on the main flow path confinement in the plane established by the circumferential direction u and the meridional direction m upstream of the throat of the passage formed between two adjacent profiles of blades.