Process simulation of an air cooled gas turbine blade

Blade cooling is a relevant topic in the design of modern gas turbine engines, because of the increase in performance due to the resulting increase in the inlet turbine temperature is counteracted by a corresponding decrease due to the air extraction from the high-p compressor. In this paper, a previous model published by De Paepe & Dick is revisited and extended: while the original model considers the single stage consisting of an expansion followed by an isobaric and an isothermal transformation for the mixing of the coolant and the gas, here, the same approach is used for modelling the flow between each pair of injection holes distributed along the statoric blade. The simulation is performed by iterating the resulting non-linear system of equation over ten holes. Wolfram MATHEMATICA© software is used. The result is in acceptable agreement with the available literature data.