Xiaodong Cai, Jianhan Liang, Ralf Deiterding, Zhiyong Lin
DOI Number XXX-YYY-ZZZ
Conference Number HiSST 2018_1170817
In the present work dynamically quasi-steady propagation of detonation is investigated in supersonic expanding channels with a cavity embedded. The two-dimensional reactive NS equations and onestep two-species reaction model are solved using a hybrid high-order WENO-CD scheme associated with structured adaptive mesh refinement. The results show that after the shutdown of the hot jet, dynamically quasi-steady propagation of detonation can be realized in the supersonic expanding channel with the cavity during the backward propagation with an overall configuration of detonation bifurcation. In the supersonic expanding channel with the cavity, quasi-steady propagation of detonation is realized mainly due to the two different effects: the one that can facilitate detonation propagation resulting from pressure oscillations in the cavity and the other that can lead to detonation attenuation because of the Prandtl-Meyer expansion fan resulting from the expanding wall, respectively. When the incoming velocity is lower than the CJ one, dynamic stabilization of detonation still cannot be achieved, suggesting that supplementary methods should be utilized for the dynamically quasi-steady propagation of detonation under this circumstance; however, when the incoming velocity is larger than the CJ one, dynamically quasi-steady propagation of detonation can be realized effectively due to the formation of a periodic process of backward propagation, detonation bifurcation and forward propagation, indicating the importance of the expanding channel with the cavity on dynamical stabilization of detonation in supersonic flows for incoming velocity larger than the CJ one.