In one embodiment, an insert for a turbine cooling circuit includes: a radial cooling passage for receiving downstream fluid; an axial passage extending from the radial cooling passage within a lower portion of the insert; and a plurality of radial passages extending from the axial passage, each radial passage extending to a bottom of a partially circumferential dovetail slot of the insert. In another embodiment, an insert for a turbine cooling includes: a plurality of radial passages, each radial passage extending from a bottom of a partially circumferential dovetail slot of the insert; an axial passage extending from the plurality of radial passages within a lower portion of the insert; and an exhaust passage extending from the axial passage.