Numerical method based-cellular automata for heat transfer with application to the self-ignition of energetic materials
Résumé
This study relates to the development of a program based on cellular automata (CA) for the simulation of the combustion in condensed and heterogeneous phase of powdery energetic materials representative of pyrotechnic compositions.
The originality of the CA used in this work is that they take into account the heterogeneity of the pyrotechnic compositions and their random stacking.
The developed program makes it possible to solve the unsteady heat equation numerically in 2D by discretizing the studied field and by involving the surface thermal resistances between each cell. It also takes into account redox reactions thanks to Arrhenius's law.
The program was validated by comparing the results of the CA with experimental tests. The effectiveness of CA was also shown by comparing its results with those of the Frank-Kamenetskii self-ignition model.
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