Numerical simulations applying to the analysis of thermal explosion of organic gel fuel in a hot gas

► In this work we investigate theoretically and numerically the nature of the evolution of a hot gas mixture containing polydisperse organic gel fuel droplets. ► The polydisperse spray is modeled using a Probability Density Function. ► We take into account the time evolution of the Probability Density Function due to the evaporation process by using the kinetic equation. ► By applying the method of integral invariant manifold we get an explicit (analytical) expression for the thermal explosion limit and for the delay time.