The paper summarizes our data regarding the energy controlling of the transonic flow. The criterial analysis of the regimes of flow which is formed around the airfoils with an external pulse-periodic energy supply was performed. We selected four criteria, which belong to the class of criteria homochronicity. They are determined by the relations between the period of the energy supply, the rate of gas flow, the velocity of propagation of small disturbances and distances from the beginning or the end zone of energy supply to the position of the closing shock in the undisturbed flow, or the size of the zone of energy. It was shown that the conditions for the forming of the nonlinear regime can be described in terms of the entered criteria of homochronicity. We also obtained estimates for the minimum energy at which the effect of nonlinear interaction is possible, as well as the time of formation of the periodic mode. It was found that the nonlinear effect predominantly has gas-dynamic nature. It was shown that the results of numerical modeling are in agreement with the criterial estimates
MATHEMATICAL MODELING AND NUMERICAL STUDY OF GAS DYNAMIC TEMPERATURE STRATIFICATION PROCESSES IN THE COOLING SYSTEM OF THE BLADE OF TURBOMACHINE