A cooling system for removing heat generated by electrical components onboard aerospace vehicles flows coolant between an evaporator that removes heat from the component, and a condenser within the skin of the vehicle. The skin is formed from facesheets comprising multiple layers of polymer resin reinforced with meshes of single and double wall nanotubes. The nanotubes conduct the heat directionally so as to both distribute the heat over the skin and direct the heat to the outer surface of the skin where the heat can be carried away by air flowing over the skin. The skin may also include conductive carbon foam surrounding the condenser to reduce thermal resistance between the condenser and the facesheets.