Abstract
The main attention is paid to the analytical analysis of an oblique shock wave in a turbulent adiabatic gas flow. For this purpose, a modified Rankine–Hugoniot model was obtained. On its basis, a solution was derived for the Rankine–Hugoniot conditions for a gas flow with various degrees of turbulence, as well as the equation of the modified Hugoniot adiabat. The behavior of the velocity of an adiabatic turbulent gas flow during its passage through an oblique shock wave at different levels of turbulence is demonstrated. A modification of Prandtl’s law for the velocity coefficients was obtained. The shock polar was also analyzed. The relationship between the angular gas flow and the angle of the shock wave was derived. Finally, the condition for the appearance of an outgoing bow shock wave was obtained.
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Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: The research contribution of A.A.A., A.I.T. and N.P.D. was funded in frames of the program of research projects of the National Academy of Sciences of Ukraine (6541230) “Support of priority for the state scientific researches and scientific and technical (experimental) developments” 2023–2025 (1230). Project: “Development of technical principles for new high-efficient combustion technology of artificial fuels from solid household waste and biomass in cogeneration energy plants using hydrogen, oxygen, synthetic and bio-methane to ensure energy safety”.
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Conflict of interest statement: The authors report no conflict of interest
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