A turbine engine component includes a shaft and two sets of hollow radial plates. The shaft includes an axial section forming a portion of a main passage having a substantially uniform diameter. The axial section has two ends and a center located substantially halfway between the two ends. The first set of hollow radial plates extends radially outwardly from the shaft at a first axial location between the center and a first end of the axial section. Each hollow radial plate is hollow and has an interior surface defining annular chambers surrounding and in flow communication with the main passage. The second set of hollow radial plates extends radially outwardly from the shaft at a second axial location between the center and a second end of the axial section. Each hollow radial plate has an interior surface defining annular chambers surrounding and in flow communication with the main passage.