Simplified Hypergolic Ignition Model Based on Thermal Diffusion

A linear model is used to reach analytical expressions for predicting the ignition delay time of hypergolic ignition based on thermal diffusion theory. The ignition delay times for three configurations, cartesian, cylindrical, and spherical, are derived and compared while assuming a heat source in the form of an Arrhenius equation. The results show that, for spherical coordinates, the ignition depends on a critical condition, which is based on material and chemical properties and geometry. The time-dependent process is analyzed using non-dimensional parameters to study the behavior of the temperature change during ignition.