GEOMETRY ANALYSIS OF SUPERSONIC FLOW AROUND TWO AXIALLY SYMMETRICAL BODIES USING THE DIGITAL IMAGE PROCESSING METHOD

The scientific paper covers the research of the geometric laws of the intersection of two angle shock waves formed upon supersonic flow with zero incidence of two bodies. The positions of shock waves engaging with the surfaces of the models of axially symmetrical bodies are determined. Systems of analysis and decision support are based on the involvement of photographs (video frames) processing results by the image intensity parameter. This method facilitates the identification of the shock wave angle with a higher rate of probability, and, therefore, the more precise definition of the engagement points of the shock wave with the researched surface. This paper analyses the video frames of the interaction of shock waves using the digital image processing method by the image intensity parameter, the formulas determining the intersection point of shock waves, that occur upon the supersonic motion of two axially symmetric bodies near each other, are determined. The positions of the point of contact of the outgoing shock wave with the surface of the second object were determined, factoring in the difference in the the incoming and outgoing shock wave angles. The availability of sufficient statistics allowed to identify theoretical relationships between the gas flow rate, the geometric parameters of objects, the distances between them, density, pressure and image intensity in photographs. The method of digital image processing can be applied to the analysis of shock waves during the flow around a supersonic stream of bodies with a "blunt" end. The shock wave front in this case is described by a secondorder curve, upon the analysis of which it is necessary to select a portion of this curve, replacing it with some accuracy by a straight line segment (Mach line).