Stator part having a fin, in a turbine engine

A stator part of a turbine engine comprising:

• a platform defining a wall of a gas flow stream,
• a blade extending from the platform radially relative to an axis of the turbine engine, and
• a fin extending from the platform radially into the stream, the fin comprising a fin root located on the platform and a fin tip, the fin comprising a lower side and an upper side, the lower side and the upper side being located between the fin root and the fin tip,
• the lower side comprising lower side points,
• for each lower side point, a lower side radial axis passing through the lower side point and the axis of the turbine engine, the lower side radial axis being orthogonal to the axis of the turbine engine, each lower side axis defining lower side planes, each lower side plane comprising the radial axis, and defining a section of the lower side, a profile of the fin root and the section of the lower side intersecting at a lower side intersection point, the profile of the fin root being a root profile, a lower side tangent being tangent to the section of the lower side at the lower side intersection point, the lower side section being located between the root profile and the lower side tangent, a lower side angle defined in the lower side plane between the root profile and the lower side tangent being less than or equal to 45 degrees,
• the upper side comprising upper side points,
• for each upper side point, an upper side radial axis passing through the upper side point and the axis of the turbine engine, the upper side radial axis being orthogonal to the axis of the turbine engine, each upper side axis defining upper side planes, each upper side plane comprising the upper side radial axis, and defining a section of the upper side, the root profile and the section of the upper side intersecting at an upper side intersection point, an upper side tangent being tangent to the section of the upper side at the upper side intersection point, the section of the upper side being located between the root profile and the upper side tangent, an upper side angle defined in the upper side plane between the root profile and the upper side tangent being less than or equal to 45 degrees,
• wherein the blade comprises a leading edge and a trailing edge separated by a blade chord, the fin comprising a plurality of fin profiles stacked in a radial direction between the root profile located at the fin root on the platform and a tip profile located at the fin tip, each fin profile defining a fin chord between a leading edge of the fin and a trailing edge of the fin, a fin chord of the tip profile being less than a fin chord of the root profile,
• a ratio of the fin chord of the tip profile to the blade chord being greater than or equal to 0.1 and less than or equal to 0.6;
• a ratio of the fin chord of the root profile to the blade chord being greater than or equal to 0.3 and less than or equal to 1.1,
• wherein each fin profile defines a maximum thickness of the fin profile between the lower side and the upper side in a direction perpendicular to the chord of the fin profile,
• a ratio of a maximum thickness of the root profile to the chord of the root profile being greater than or equal to 0.05 and less than or equal to 0.25;
• and
• a ratio of a maximum thickness of the tip profile to the chord of the tip profile being greater than or equal to 0.05 and less than or equal to 0.25.