EFFECT OF FLOW TURBULENCE ON DETONATION PROCESSES
Abstract
Recently, the study of the mechanisms of occurrence and propagation of detonation processes has been of particular interest. The aim of this work is to theoretically analyze the interaction of a turbulent gas flow with a normal detonation wave. For the first time, a simplified K-ε model was applied to analyze turbulence.
A modified Hugoniot detonation equation is derived for detonation, which takes into account the thermal effect and the level of flow turbulence. Thus, for the first time, the relationship between thermodynamic and gasdynamic processes in a detonation wave was demonstrated. At zero turbulence, combustion products flow from the detonation front at a critical (sonic) velocity. As the degree of turbulence increases, the velocity of detonation products also increases. It is evident that the energy of turbulent fluctuations contributes to an increase in the kinetic energy of the averaged flow behind the detonation wave. It has been shown that the thermal effect weakens the influence of turbulence.
A dependency has been established that allows evaluating the effect of heat release and turbulence on the velocity ahead of the shock wave. It has been demonstrated that both the thermal effect and turbulence lead to an acceleration of the flow ahead of the shock wave. It is also shown that when the flow passes through a shock wave, the value of turbulent viscosity is preserved.
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