Nozzles are very important parts of jet engines. Engines get their forward thrust from the nozzles by high temperature and high-pressure jets. Nozzle temperature increases rapidly resulting from the high temperature fuel jet through thermal conduction and radiation. Ceramic barrier coatings are therefore employed to protect the nozzle by plasma spray. It is impossible to measure the inner and outer surface temperature of a nozzle continuously. Yet it is very important to predict the temperature distribution...