Simulation of two-dimensional combustion propagation on Fe2O3/Al thermite non-homogeneous disk-shaped systems
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In previous works, a two-dimensional model was constructed and tested in a successful attempt to simulate the nonsteady radial combustion propagation on thin disk shaped samples of Fe2O3/Aluminum thermite mixtures. The main characteristics of the model can be summarized as: pseudo-homogeneous medium considering the contribution of air to
simulate a porous medium; zero order, non-temperature dependent beyond a given threshold kinetics; conductive/radiative
heat transfer; phase transitions; temperature and composition variation of all system properties during propagation; nonhomogeneous
and randomly generated mixing of reactants on radial and angular directions. Hence, an adaptive numerical algorithm that combines a Adaptive Method of Lines (AMOL) strategy based on finite differences non-uniform spatial discretizations, with collocation schemes based on sets of increasing level dyadic grids, is applied for the simulation of the system.
This particular integration method proves to handle adequately with the steep travelling thermal wave in 2D spatial domain supports, either for trivial non-homogeneous mixing conditions, as for the replication of more sophisticated nonuniformities in the reactant medium that are usually observed in experimental conditions, such as the local lack of reactants due to the presence of an obstacle, and density or thickness variation.
