Monte Carlo simulation of aluminum agglomeration in composite solid propellants combustion

The theoretical model for fusible metals (aluminum) taking into account the agglomerates generation dynamics, it evolution on burning surface and separation is considered. Experimental research results lie in the foundation of this model. Governing equations, describing the agglomerates sizes distribution function changes in the carcass layer and on the composite solid propellant burning surface, has been derived. It was shown that the given equations are, to a sufficient degree, fundamental and that it must be in the foundation of any complete statistical agglomeration theory. The distinction of possible agglomeration theory is connected with various models of agglomerates generation and separation from composite solid propellant burning surface. The exact solution of agglomeration equation for monodisperse initial metal powder are obtained. The properties of the developed agglomeration models were investigated. The Monte Carlo method for agglomeration investigation are considered. Several models of agglomerate-agglomerate and agglomerate-ammonium perchlorate particles interaction in solid propellants combustion were investigated. It was shown, that there are three mechanisms of agglomerate separation from burning surface. It was shown, that agglomerate sizes distribution function are bimodal and polymodal for different spectrum of ammonium perchlorate powder. The correlations between average-mass diameter of agglomerates and average-mass diameter of ammonium perchlorate particles are obtained. The comparison of Monte Carlo solutions with exact solution of agglomeration equation and with well-known experimental data are carried out. The agglomerate evolution on burning surface vs time were investigated. Statistical nature of agglomerate generation was shown.