INFLUENCE OF THE DEGREE OF FLOW TURBULENCE ON THE PARAMETERS OF THE OBLIQUE SHOCK WAVE
Abstract
The study of shock wave processes is relevant for obtaining information about the strength properties of various equipment, materials, elements of building structures, polymer crystals.
In this study, analytical modeling of the dynamics of changes in the parameters of a turbulent gas adiabatic flow that runs into a wedge is performed. As a result of the interactions of the flow and the wedge-shaped surface, a break in the flow parameters occurs, the so-called oblique shock wave. The study was performed using the Rankine-Hugoniot model, which describes the relationship between the flow states on both sides of the oblique shock wave.
As a result of mathematical transformations, the Rankine-Hugoniot jump condition for a turbulent adiabatic gas flow was obtained, which is also the equation of the shock adiabat. The relationship between the flow velocities before and after the shock wave was determined, which made it possible to obtain a modified Prandtl law for the shock wave at different values of flow turbulence. The influence of turbulence on the shock polar was revealed. Namely, turbulence reduces the range of possible shock wave angles and increases the probability of the main shock wave emerging. In addition, an analytical relationship between the angle of inclination of the wedge surface and the angle of the shock wave is obtained.
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