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- W1993308773 abstract "Our simulations of heterogeneous propellant combustion have always assumed that the oxidizer particles (ammonium perchlorate) are disks (two dimensional) or spheres (three dimensional). Here the effects on the burning rate are examined when the disks/spheres are replaced by ellipses/ellipsoids. In two dimensions, it is shown that an area-preserving deformation of a pack of disks, generating a pack of ellipses, can lead to significant variations in the burning rate. However, if the ellipses are randomly packed, so that the alignment of their axes is random, the shape effect is small. In three dimensions, volume-preserving deformation, which generates ellipsoids, leads to burning rate changes no greater than those in two dimensions. Absent a random packing algorithm for ellipsoids, it is speculated that here also a random alignment of the axes would eliminate the effect. ECENT years have seen significant advances in the modeling of heterogeneous propellant combustion, specifically in the context of ammonium‐perchlorate (AP)/hydroxyl-terminatedpolybutadiene propellants. In Ref. 1, a two-dimensional treatment, a numerical code is described in which the combustion field is fully coupled to heat conduction in the solid via a nonuniformly regressing nonplanar surface. The corresponding three-dimensional problem is described in Refs. 2 and 3, the first using two-step kinetics and the second three-step kinetics. Comparisons between the numerical results and experimental results of Miller 4 show that the effects of propellant morphology on burning rates can be satisfactorily predicted over a wide pressure range. At fixed pressure, the variations in burning rate due to different morphologies are as much as threefold, so that these are nontrivial predictions. In this connection, note how we chose the values of the numerous parameters for this problem, parameters identified in Refs. 1‐3. Most are typical values defined by the community at large. Some are uncertain, of course, particularly the surface pyrolysis parameters, but once a choice was made no post hoc adjustments were made to better fit the three-dimensional data of Miller. An important parameter subset is those of the gas kinetics, the reaction rates for the two-step and three-step kinetics. There, we used one-dimensional burning rate data for pure AP and for homogeneous blends of AP and binder. The use of a three-step mechanism enabled us to fit blend burning rates over a wide range of mixture ratios, and it is presumably for this reason that the three-step results are more accurate than the two-step results. Most important, our calculations are not a massive exercise in curve fitting. This does not mean that better choices for some of our parameter values are not possible. Although we reasonably capture qualitative aspects of sandwich burning, 3 most notably the surface topography, the surface topography in our three-dimensional simulations does not show concavity in the surfaces of large AP particles at pressures for which it is observed experimentally. It seems probable that this" @default.
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- W1993308773 date "2006-07-01" @default.
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- W1993308773 title "Burning of Ammonium-Perchlorate Ellipses and Spheroids in Fuel Binder" @default.
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- W1993308773 doi "https://doi.org/10.2514/1.15739" @default.
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