The object of research - the process of high-velocity gas-flame spraying on the aircraft engines’ parts; the purpose of research is to increase the life cycle of the components of the aviation gas turbine engines by improving the performance characteristics of the coatings applied by the high-velocity gas-flame spraying, due to the prediction of the energy parameters of the sprayed particles controlled by the improved consumable method; research methods - mathematical modeling, idealization and formalization, analysis and synthesis were used in the development of a mathematical model for calculating kinematic and energy parameters of the sprayed particles in a two-phase flow; at the stage of practical research, a series of experiments was carried out to measure parameters and compare them with the results of theoretical studies; the results of the study - the subsequent development of a cost-effective method for managing the energy parameters of the spraying process, the first developed a two-chamber spraying gun, for the first time developed mathematical model for determining the velocity and temperature of the sprayed powder, a new method for strengthening the of aviation engines’ parts made of heat-resistant nickel-chrome alloys is developed, the technological recommendations for the coating of the aviation engines parts made of heat-resistant nickel-chrome alloys with a two-chamber burner are developed; novelty - for the first time, a mathematical model for calculating the kinematic and energy parameters of the particles sprayed by two-chamber gun for high-velocity gas-flame spraying, which, unlike the existing ones, combines three stages: heating, acceleration, and mixing of flows, and the model of mixing of two-phase flow from the inner combustion chamber and the radial outflow type nozzle is derived from a supersonic ejector model with a cylindrical mixing chamber without an output diffuser, which allowed to predict the energy parameters of particles for guns of this type; a consumable method for controlling the energy parameters of the sprayed by high-velocity gas-flame spraying particles has been developed, which is characterized by the possibility of independent control of the parameters of the predominantly heating stream and the flow which predominantly accelerates due to the coaxial location of the isolated combustion chambers and the use for the flow acceleration radial outflow type nozzle, which made it possible to expand the application area of high-velocity gas-flame spraying; a new method for strengthening the aviation engines parts made of heat-resistant nickel-chrome alloys has been developed by selecting the rational parameters of spraying composite material КХН-30, the composition of carbide chromium-nickel in the ratio of 80 % Cr3C2 + 20 % Ni in the form of a mechanical mixture of powders, wear-resistant ZrO2 and Al2O3 coatings, by a two-chamber gun, in which, unlike the existing for the given combination of substrate materials and coatings, a consumable method for controlling the process energy parameters was used, which made it possible to obtain dense (porosity less than 6 %) and strong (adhesion strength from 70 MPa to 80 MPa, cohesive strength from 70 MPa to 120 MPa) functional coatings; the degree of implementation - the results are introduced in the educational process at the National Aerospace University «Kharkiv Aviation Institute» and in the production of aviation engines at «Motor Sich» JSC; industry uses - protective and restorative coatings for the aircraft industry and general mechanical engineering.