A rotating detonation engine (RDE) is disclosed which includes a housing, an injector assembly disposed within the housing, the injector assembly includes a fuel manifold, an oxidizer manifold, and a combustion chamber, fuel from the fuel manifold and an oxidizer from the oxidizer manifold are combined and combusted in the combustion chamber, each of the fuel and oxidizer manifolds communicates with the combustion chamber via a plurality of Tesla valves each via a corresponding port, wherein the plurality of Tesla valves substantially eliminate reverse flow of exhaust gases from the combustion chamber back to the fuel manifold or the oxidizer manifold.