A vehicle is provided including a structure including a skin defining an outside surface exposed to ambient cooling flow and an inside surface. The structure includes a first structural member extending from the inside surface of the skin and a second structural member extending from the inside surface of the skin; and a thermal management system including a heat exchanger assembly positioned adjacent to, and in thermal communication with, the inside surface of the skin, the heat exchanger assembly positioned at least partially between the first and second structural members of the structure.

An apparatus is provided for an aircraft engine. This apparatus includes a variable area nozzle. The variable area nozzle includes a nozzle wall, a nozzle sleeve, an actuation system and a flowpath extending axially along an axis through the variable area nozzle and radially between the nozzle wall and the nozzle sleeve. The nozzle sleeve includes a shell, a liner, a cooling cavity and an ejector. The shell extends axially along and circumferentially about the axis. The liner axially overlaps and circumscribes the shell. The cooling cavity is formed by and radially between the shell and the liner. The ejector is arranged at a downstream end of the liner along the flowpath. The ejector fluidly couples the cooling cavity to the flowpath. The actuation system is configured to move the nozzle sleeve axially along the axis relative to the nozzle wall.