Mathematical model of detonation combustion of kerosene vapor in an oxidizer

A mathematical model is proposed to describe ignition and combustion of a hydrocarbon fuel (kerosene vapor in air). Based on an analysis of experimental data on the ignition delay dependence on temperature, approximation formulas are derived for the ignition delay as a function of species concentrations and of the pressure and temperature of the mixture. A method for determining the pre-exponent in the kerosene combustion kinetic equation as a function of the local temperature of the mixture is proposed, which provides a reasonably accurate description of the time of mixture combustion. Based on this kinetics, the structure of the detonation wave in a stoichiometric kerosene-air mixture and in a mixture with a reduced fraction of the oxidizer for the Chapman–Jouguet and overdriven detonation regimes is described.