Abstract-A method for studying the thermal state of turbomachine blades is presented. A numerical investigation method takes into account the phenomenon of gas-dynamic temperature stratification. The possibility of increasing the efficiency of cooling turbine blades due to the phenomenon of gas-dynamic temperature stratification is considered. The possibility of improving the accuracy of the calculated forecasting of the thermal state of the blades by obtaining reliable data by developing a mathematical model and a unique software and information complex for modeling is discussed.