Two separate decay timescales of a detonation wave modeled by the Burgers equation and their relation to its chaotic dynamics

This study uses a simplified detonation model to investigate the behavior of detonations with galloping-like pulsations. The reactive Burgers equation is used for hydrodynamic equation, coupled pulsed source whereby all shocked reactants are simultaneously consumed at fixed time intervals. mimics short periodic amplifications shock front followed by relatively lengthy decays seen in galloping detonations. Numerical simulations reveal sawtooth evolution velocity period-averaged speed equal Chapman-Jouguet velocity. exhibits two distinct groups decay timescales, punctuated reaction pulses. At each pulse, rarefaction wave created front's last position. A characteristic investigation reveals that characteristics originating from head this take 1.57 periods reach and attenuate front, while tail an additional period. leading amplified twice, passing through fronts subsequent pulses, before arriving trailing three times. leads timescales speed.