A model for stationary heterogeneous detonation in a gas-droplet mixture

Abstract

1. A model has been constructed for a stationary heterogeneous detonation in a gasdroplet medium with allowance for chemical equilibrium and losses at the tube walls. The calculations are in good agreement with the available experimental data. 2. Wall loss has a decisive effect on the detonation parameters for hydrocarbon-oxygen mixtures. The residual unburned droplet fraction tends to zero as the loss decreases. 3. There is good agreement with experiment for DECH-O2 mixtures given by the conditions for the absence of droplet breakup or the conditions for single breakup of large droplets into a small number of parts. 4. There is found to be a considerable effect from variation in the heat of reaction and gas molecular mass in the reaction zone. 5. If a hydrocarbon-oxygen mixture is not very heavily diluted with nitrogen and has a combination close to stoichiometric, then the length of the induction zone is much less than the distance to the Chapman-Jouguet surface. 6. There is found to be substantial velocity disequilibrium in the phases in the Chapman-Jouguet plane in a hydrogen-oxygen mixture and also for small droplets in hydrocarbon-oxygen mixtures.