A shroud assembly for a turbine engine includes a shroud having a front side confronting the blades of a turbine and a back side opposite the front side, a hanger configured to couple the shroud to with casing of the turbine, a cooling conduit extending through the hanger to supply a cooling fluid stream to the back side of the shroud, and a particle separator having a through passage forming part of the cooling conduit and a scavenge conduit branching from the through passage.