In this work, models of the process of machining the surfaces of parts edges with free abrasive in a fluidized state using air jets were developed to determine the process parameters that ensure a high level of quality. Theoretical studies were carried out on the proposed model of the process of machining the surfaces of parts edges with free abrasive grain in a fluidized state using air jets. In the research, the initial equations were based on the known dependencies for the dynamic pressure of air jets hitting an obstacle and the change in the parameters of plane jets along the path of their expansion from the nozzle cut to the treated surface. At the same time, the scheme of expansion of the plane jet flowing from the nozzle and the dependencies for determining its main parameters were considered. A model of the process of machining the surfaces of the edges of parts with a free abrasive in a fluidized state using air jets was developed. According to the proposed model, the surface of the edge of the part is treated by exposure to the abrasive medium, which is in a fluidized state, with an air jet. In this case, the symmetry axis of the air jet is directed along the bisector of the angle of the workpiece edge. When the air jet flows out of the nozzle, it expands symmetrically about its axis. Analytical studies of the proposed model of the process of machining the surfaces of parts’ edges made it possible to establish the main regularities and determine the main parameters of the machining process. Based on the developed model and the obtained regularities of the process of machining the edges of parts with a free abrasive in a fluidized state using air jets, the technological features of machining the surfaces of the edges of parts that provide a high level of quality parameters have been established.
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