Embodiments of the present disclosure include methods, systems, and program products for controlling a machine. Methods according to the present disclosure can include: calculating, using a performance model of the machine, a set of inter-stage conditions of the machine corresponding to one of a set of input conditions and a set of output conditions during an operation of the machine, wherein the machine includes a turbine component having a fluid path therein traversing a plurality of turbine stages and a plurality of inter-stage positions; calibrating the performance model of the machine based on a difference between a predicted value in the performance model of the machine and one of the set of input conditions and the set of output conditions; and adjusting an operating parameter of the machine based on the calibrated performance model and the calculated set of inter-stage conditions of the machine.

A turbine engine includes a frame assembly including an outer cavity and an inner cavity with the outer cavity including at least one opening configured and adapted to communicate cooling air to the turbine case. A baffle within the outer cavity includes a plurality of openings for directing cooling airflow into the outer cavity for preventing impingement on a radially inner wall of the outer cavity for maintaining a desired temperature of the cooling air within the outer cavity.

A mid-turbine frame assembly includes an inner frame case which includes a first plurality of holes and a second plurality of holes. A plurality of tie rods is circumferentially spaced around the inner frame case and includes an inlet passage that is aligned with the first plurality of holes. A plurality of hollow airfoils is aligned with the second plurality of holes.

A tip shroud includes a pair of opposed, axially extending wings configured to couple to an airfoil at a radially outer end thereof. The tip shroud also includes a tip rail extending radially from the pair of opposed, axially extending wings. Tip shroud surface profiles may be of the downstream and/or upstream side of the tip rail, a leading Z-notch of the tip shroud, and/or a downstream radially inner surface of a wing. The surface profiles may have a nominal profile substantially in accordance with at least part of Cartesian coordinate values of X and Y, and perhaps Z and a thickness, set forth in a respective table. The radially inner surface of the wing may define a protrusion extending along the radially outer end of the airfoil, the suction side fillet, and a radial inner surface of the wing to an axial edge of the wing.

A mid-turbine frame for a gas turbine engine includes an inner frame case. A bearing support member is located adjacent the inner frame case. At least one spoke is attached to the inner frame case. A passage extends through at least one spoke, the inner frame case, and the bearing support member.

A cast turbine nozzle includes an airfoil having a body including a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, a trailing edge opposing the leading edge and spanning between the pressure side and the suction side, and a cooling cavity defined by an inner surface of the body. The nozzle also includes at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, and a plurality of heat transfer protrusions extending inwardly from the inner surface within the body, the plurality of heat transfer protrusions extending from the leading edge along the suction side and along the pressure side in a radially staggered columnar pattern. The inner surface includes a planar surface extending between adjacent heat transfer protrusions.

A gas turbine engine includes a device for providing sealing between one rotor section and one stator section. The device includes a coating made of an abradable material attached to the stator section. The device further includes a lip on a portion of the rotor section. The lip is configured to form a seal with the abradable material. The gas turbine engine further includes passages for a gaseous fluid and means for blowing such gaseous fluid. The passages open into the rotor section provided with the lip, so that blown gaseous fluid can be present in a zone radially located between the coating and the lip.

A cast turbine nozzle includes an airfoil having a body including a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, a trailing edge opposing the leading edge and spanning between the pressure side and the suction side, and a cooling cavity defined by an inner surface of the body. The nozzle also includes at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, and a plurality of heat transfer protrusions extending inwardly from the inner surface within the body, the plurality of heat transfer protrusions extending from the leading edge along the suction side and along the pressure side in a radially staggered columnar pattern. The inner surface includes a planar surface extending between adjacent heat transfer protrusions.

A vane for a gas turbine engine, the vane having: an airfoil; and a root portion disposed on a side of the airfoil and including a platform, the platform having a vane forward rail and an extension extending from the platform, the extension defining portions of an outer diameter platform cavity and an airfoil leading edge cavity. The extension extends from the platform such that an upper portion of each of the outer diameter platform cavity and the airfoil leading edge cavity is spaced equidistant from the platform.

A turbine blade tip shroud has a first cutter tooth extending from a tip rail from one of the upstream side and the downstream side of the tip rail and adjacent the leading edge of the body. The tip shroud also includes a second cutter tooth extending from the tip rail from the other side of the tip rail at a position axially distant from the first cutter tooth. The cutter teeth are thus axially offset. The tip shroud can be initially manufactured with this shape or may be modified from a used tip shroud having, for example, opposing cutter teeth near a leading edge of a body of the tip shroud. Various tip shroud surface profiles, which are expressed in terms of Cartesian coordinates, are also provided.