Random packing of heterogeneous propellants

A random packing algorithm is implemented to construct numerically models o f heterogeneous propellants. These models consist of random distributions o f spheres in a periodic cube. The spheres can hal-e various sizes, randomly assigned if desired. Packing fractions are calculated for a bimodal model (spheres of two different sizes) and compare vi ell with old experimental d ata for steel shot. Slices through the cube define surfaces that represent propellant surfaces, and the stoichiometry of these surfaces is a stochasti c variable. Several realizations of the propellant cube are constructed and variations in surface stoichiometry are examined using histograms and Four ier series. A sample dame calculation is presented and solved using data de fined by a single surface realization.