Stability characteristics of pulsating one-dimensional detonations using a simple analogue

Abstract eng:
Results of asymptotic modeling of one-dimensional pulsating detonations using Fickett’s model with two-step chemistry, an analogue of the reactive Euler equations, are compared to numerical simulations to better understand the stability boundary and unstable modes of propagation. Two distinct modes of instability are observed. In the limit of large reaction-to-induction lengths, evidence suggests a galloping detonation mode. At smaller reaction-to-induction lengths, increasing activation energy leads to a period-doubling bifurcation cascade into chaos.

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