Applied Mathematics & Information Sciences

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In this paper, we investigate the problem of thermal explosion in two-phases polydisperse combustible mixtures of gas with fuel droplets. The size distribution of the fuel droplets is assumed to be continuous. The system of the polydisperse fuel spray takes into account the effects of the thermal radiation and convection. We applied numerical simulation to the full model in order to find the time of the explosion of the droplets after evaporation process. We compared our numerical results to experimental data for different type of fuels and for different type of PDF function as: Rosin-Rammler, Nukiyama-Tanasawa, Log-Normal distribution and Normal distribution. Our results show that the relative error of the Rosin-Rammler PDF compared to the experimental is the smallest one in compared to the other PDF functions.

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