Cauchy type inverse problem in a two-layer area in the blades of gas turbine

Abstract In order to reduce the thermal load of the gas turbine blade, its surface is covered with an external ceramic layer of high thermal resistance. The main problem considered in our research is the selection of ceramics with a low value of specific thermal conductivity and its thickness of the layer. Obtained values should be chosen, such that the permissible metal temperature is not exceeded at the metal-ceramic boundary. It would result in the loss of mechanical properties. Therefore, for a given temperature distribution at the metal-ceramic boundary, the temperature on the inside of the blade and the initial temperature should determine the temperature function on the external surface of the ceramic. This is a Cauchy type problem. The paper considers the case of one-dimensional, unsteady flow. The influence of heat conduction ratio of the ceramic layer and thickness of the layer was investigated. The results showed, that the implementation of ceramic layer causes a decrease in temperaturee what improves the cooling of metal layer. The authors observed also that the thickness if ceramic layer is crucial – its value should be selected so that not to cause a loss of mechanical properties of metal layer.