Influence of turbulence on the formation of detonation combustion of a gas in tubes

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Conditions for transition of the slow combustion of a gas to detonation are determined based on the solution of the problem on propagation of turbulent combustion initiated at the end wall of a semiinfinite tube. The combustion zone is modeled by an infinitely thin flame front. It is assumed that the turbulence develops ahead of the flame in the flow behind the shock wave formed. Simplified Reynolds equations underlie a mathematical description of turbulent flow. The assumptions made of the local isotropy of turbulence in the flow core and the hypotheses for the generation and dissipation of pulsation energy make it possible to close the considered system of equations in the one-dimensional case.

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Theoretical or Mathematical/ combustion detonation flames pipe flow shock waves turbulence/ detonation combustion semiinfinite tube infinitely thin flame front shock wave Reynolds equations turbulent flow pulsation energy/ A4740 Compressible flows shock and detonation phenomena A4760 Flows in ducts, channels, and conduits A4740N Shock-wave interactions A8240P Flames, combustion, and explosions A4725 Turbulent flows, convection, and heat transfer