ANALYSIS OF THE MOVING DETONATION INTERACTION WITH TURBULENT BOUNDARY LAYERS IN A DUCT ON THE BASIS OF NUMERICAL SIMULATION

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Abstract
This article describes the numerical simulation of the experiment by Bellet and Deshayes [Structure and Propagation of Detonation in Gaseous Mixtures in Supersonic Flow, Astronaut. Acta, vol. 15, nos. 5-6, pp. 465-472,1970]. The upstream motion of the detonation wave in a duct with supersonic flow from a H2/O2 mixture is simulated numerically based on the unsteady Reynolds equations with finite-rate reactions in two- and three-dimensional (3D) formulations. For several values of the relative heat release in a wave, one-dimensional (1D) Chapman-Jouguet and self-sustaining detonations interacting with turbulent boundary layers are compared. The calculations reproduce the phenomenon of increasing the speed of the self-sustaining detonation obtained in the experiment. The gasdynamic flow structure from the detonation Mach disk and the boundary layer separation is analyzed in the Mach disk reference frame. Heat generation along the streamlines is considered. A simple quasi-1D gasdynamic theory is proposed to explain the increase in the detonation speed. The influence of the turbulence from the wall heat fluxes and the 3D effects is analyzed.