Numerical characteristics of a thermal-wave combustion model for solid propellant

To estimate possible dynamic effects, numerical solutions for a typical thermal-wave combustion model (a modified KTSS)are obtained for a series of example cases. One significant result is that the effect of a dynamic factor, related to the magnitude of dp/dt, do not generate and unstable burning rate response. Another interesting result is that the larger the heat release parameter(H) is the larger the temperature or buning rate responses. Intrinsic burning rate instability can occur for relatively large values of H. A stable regime mathematically to this model was misleading because of numerical difficulty. Exact numerical solutions of the present model have confirmed that the burning rate amplitude increases with increasing H for β = 1 and m = 6. The burning rate with oscillation approaches ap^π when H<1. 0. However, when 1<H<1. 045, the state of burning rate is composed of repeated, amplitude spikes even though the numerical solution remains finite. When H>1. 044, an unstable burning rate response is generated.