This paper presents a comprehensive analysis of the structure of fuel-spray planar detonations, the main purpose being the identification of the parametric values that enable steady propagation. The analysis makes use of a multi-continua Eulerian−Eulerian formulation that accounts for momentum, energy, and mass exchange between the gaseous and disperse phases, with attention directed to configurations exhibiting two-way coupling. The main effects of the two-way coupling interactions are explored and distinguished propagation limits are identified, thereby clarifying the consequences of previous simplified theoretical descriptions. The analysis of the post-shock relaxation region reveals, in particular, that energy transfer associated with additional compression work, thermal conduction, and vaporization of fuel particles in the induction region alter Chapman–Jouguet conditions in several ways, which may be key to detonation failure in numerous real-life scenarios.
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