Injection manifold with Tesla valves for rotating detonation engines

1. A combustion method within a rotating detonation engine (RDE), comprising:

mixing fuel and an oxidizer into a mixture, wherein fuel originates from a fuel manifold and the oxidizer originates from an oxidizer manifold; and

combusting the mixture in a combustion chamber, the fuel manifold, the oxidizer manifold, and the combustion chamber forming parts of an injector assembly

wherein each of the fuel and oxidizer manifolds communicates with the combustion chamber via a plurality of dedicated radially disposed Tesla valves around the combustion chamber each via a corresponding port with only one Tesla valve between the fuel manifold and the corresponding port on the combustion chamber and with only one Tesla valve between the oxidizer manifold and the corresponding port on the combustion chamber, 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.

2. The method of claim 1 , wherein the plurality of Tesla valve includes shapes of looped-shaped terminated with elongated ends.

3. The method of claim 2 , wherein the plurality of Tesla valves are disposed based on parallel-aligned wherein fuel and oxidizer ports form parallel and aligned outlets.

4. The method of claim 3 , wherein the plurality of Tesla valves are angled wherein the plurality of tesla valve are divided into pairs of Tesla Valves that are disposed at about 90°.

5. The method of claim 4 , wherein the injector assembly is manufactured by additive manufacturing.

6. The method of claim 5 , wherein the material used for the injector assembly includes material selected from the group consisting of nanopowders of stainless steel, INCONEL®, titanium alloys, and ceramics.

7. The method of claim 1 , wherein the injector assembly further comprises:

an inner cylindrical body space within which forming a combustion chamber, and an outer cylindrical body, wherein the space between the outer cylindrical body and the inner cylindrical body forming a cylindrical annulus.

8. The method of claim 7 , wherein the cylindrical annulus forms i) the fuel manifold, and

ii) the oxidizer manifold separated from the fuel manifold.

9. The method of claim 8 , wherein each of the Tesla valves terminate to a corresponding port disposed on an inner surface of the inner cylindrical body.

10. The method of claim 1 , wherein when the plurality of Tesla valves have a characteristic length of about 20 mm having a passage diameter of about 1 mm, reverse flow is prevented when pressure ratio between the combustion chamber and either of the fuel manifold or oxidizer manifold are between about 5 and 35.

11. A method of preventing reverse flow without any moving parts,

consisting of:

arranging a plurality of dedicated Tesla valves disposed between a first chamber and a second chamber each Tesla valve of the plurality of dedicated Tesla valves terminating at a port radially disposed around the second chamber, each Tesla valve of the plurality of dedicated Tesla valves having an inlet coupled to the first chamber and an outlet coupled to the second chamber via its corresponding port; and

establishing a forward flow from the first chamber to the second chamber via the plurality of dedicated Tesla valves, whereby reverse flow is prevented from the second chamber to the first chamber without any moving parts.

12. The method of claim 11 , wherein the first chamber is one of a fuel manifold or an oxidizer manifold, and the second chamber is a combustion chamber, wherein fuel from the fuel manifold and an oxidizer from the oxidizer manifold are combined and combusted in the combustion chamber.

13. The method of claim 11 , wherein the plurality of Tesla valve includes shapes selected from the group consisting of looped-shaped terminated with elongated ends, an offset figure-8 shaped conduit terminated with elongated ends, a double spade-shaped conduit terminated with elongated ends, and a combination thereof.

14. The method of claim 13 , wherein the plurality of Tesla valves are disposed based on a disposition selected from the group consisting of parallel-aligned wherein the ports form parallel and aligned outlets, parallel-misaligned wherein the ports form parallel outlets where the alternating fuel and oxidizer ports are misaligned, aligned-series wherein the ports form outlets of alternating fuel and oxidizer ports, angled where the fuel and oxidizer ports are disposed at an angle with respect to one-another, and a combination thereof.

15. The method of claim 14 , wherein the angled Tesla valves are disposed at about 90°.

16. The method of claim 15 , wherein the plurality of Tesla valves are manufactured by additive manufacturing.

17. The method of claim 16 , wherein the material used for the plurality of Tesla valves includes material selected from the group consisting of nanopowders of stainless steel, INCONEL®, titanium alloys, and ceramics.

18. The method of claim 11 , wherein when the plurality of Tesla valves have a characteristic length of about 20 mm having a passage diameter of about 1 mm, reverse flow is prevented when pressure ratio between the second chamber and the first chamber is between about 5 and 35.