On the role of back-propagating pressure suppression in enhancing the pressure-gain performance of quasi-2D rotating detonation engines

Abstract

The total pressure gain (PG) characteristics of the quasi-2D rotating detonation engine (RDE) are numerically investigated in this study, based on an abstract check valve model and the quasi-1D assumption. The influence of back-propagating pressure suppression on PG and its underlying mechanism are examined. An abstract check valve model is established to simulate various flow channel configurations, with backflow check strength $α_b$ defined, where a larger $α_b$ corresponds to a stronger backflow blocking effect. The quasi-1D assumption is applied along the axial direction to simplify the radial features of the annular RDE. The quasi-2D governing equations for RDE flow are derived. Simulations are conducted for varying expansion ratios $A_e$ and values of $α_b$. The results indicate that increasing $α_b$ effectively suppresses back-propagating pressure and slightly improves PG; however, it cannot fully eliminate the back-propagating pressure, as the check valve itself introduces flow disturbances. Increasing $A_e$ also suppresses back-propagating pressure but significantly reduces PG. Achieving positive PG requires reducing $A_e$ below a critical value. However, this reduction is limited by $α_b$; further reduction in $A_e$ leads to forward propagation of back-propagating pressure to the engine inlet, resulting in inlet blocking. Therefore, a sufficiently large $α_b$ is essential for the required reduction in $A_e$. The key aerodynamic challenge for achieving positive PG lies in optimizing flow channels to suppress back-propagating pressure efficiently. Finally, a general PG criterion is proposed by normalizing the quasi-2D RDE with stoichiometric hydrogen/air mixtures. This study provides theoretical guidance for enhancing PG in RDEs.