Abstract
The composition dependence of the burn rate of polydisperse composite solid propellants is predicted by analyzing the least-time path of the burn front through the propellant. The predicted burn rate is the average burn rate along the least-time path divided by the tortuosity, or arc length per streamwise interval, of the least-time path. The tortuosity analysis is based on percolation theory. Aspects of percolation theory which are pertinent to the analysis are introduced in a self-contained Appendix. The model, which contains four adjustable parameters, is validated by comparison to measured burn rates for a suite of polydisperse ammonium perchlorate composites. The data correlations are found to be significantly better than for a three-parameter version of the model which omits tortuosity considerations.
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