Abstract

A comprehensive theoretical model was formulated to study the development of convective burning in a solid propellant crack which continually deforms due to burning and pressure loading. The effect of interrelated structural deformation and combustion processes was included in the theoretical model. The set of coupled, nonlinear, governing partial-differential equations was solved numerically. Several regions of partial crack closures were observed experimentally in narrow cracks (gap width -450 /on). Predicted results indicate that the partial closures may generate substantial local pressure peaks along the crack, implying a strong coupling between chamber pressurization, crack combustion, and propellant deformation, especially when cracks are narrow and chamber pressurization rates are high. Predicted results for ignition-front propagation and pressure distribution are in good agreement with experimental data. Both theoretical and experimental results indicate that the maximum pressure in the crack cavity is generally higher than that in the chamber. Under the conditions studied, it was found that the initial flame-spreading process is not affected substantially by propellant deformation.

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