In this paper, an Eulerian-Lagrangian two-phase flow model for liquid-fueled detonations is constructed The gaseous mixture is described by Eulerian method, and all the liquid particles in gaseous mixture are traced by Lagrangian method. In the present numerical simulations, an improved space-time conservation element and solution element (CE/SE) scheme is adopted. Detonations in liquid C10H22-O2/air systems are simulated. Different fuel droplet sizes and equivalence ratios are considered in present study. Interestingly, the numerical results show that liquid-fueled detonations are substantially different from gaseous detonations. With larger droplet sizes, a deficit in the propagation velocity compared to the gas-phase velocity is observed in mixtures with lean fuel,while an increase in the propagation velocity compared to the gas-phase velocity is observed in the mixtures with very rich fuel which is consistent with the experimental study by Tang and Nicholls. We give a reasonable explanation about the surprising phenomenon by detailed numerical results. In addition, the formation and propagation of liquid detonation wave are characterized by series of results and the influence of particle radii is also discussed.
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