A rotor of a supersonic rotary heat engine comprises a rotor axis about which the rotor is adapted and configured to rotate, a plurality of thrust matter passageways, and a plurality of cooling passageways. Each of the thrust matter passageways is at least partially bound by a gas permeable wall. The outlet port of each thrust matter passageway is adapted and configured to discharge gaseous fluid into an exhaust environment external to the rotor in a manner creating a torque on the rotor about the rotor axis. Each of the cooling passageways is in fluid communication with a respective one of the thrust matter passageways via the gas permeable wall that at least partially bounds the respective thrust matter passageway.