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A system includes a multi-tube fuel nozzle assembly. The multi-tube fuel nozzle assembly includes a support structure defining an interior volume configured to receive an air flow. The combustor cap assembly also includes multiple mixing tubes disposed within the interior volume. Each mixing tube of

A system includes a multi-tube fuel nozzle assembly. The multi-tube fuel nozzle assembly includes a support structure defining an interior volume configured to receive an air flow. The combustor cap assembly also includes multiple mixing tubes disposed within the interior volume. Each mixing tube of the multiple mixing tubes is configured to mix air and fuel to form an air-fuel mixture. The multi-tube fuel nozzle assembly further includes a combustor cap coupled to the support structure. The combustor cap includes multiple furcating nozzles integrated within the combustor cap. Each furcating nozzle of the multiple furcating nozzles is coupled to a respective mixing tube of the multiple mixing tubes. Also, each furcating nozzle of the multiple furcating nozzles is configured to receive a flow of the air-fuel mixture and to partition the flow of the air-fuel mixture into multiple air-fuel mixture flows.

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1. A system, comprising: a multi-tube fuel nozzle assembly, wherein the multi-tube fuel nozzle assembly comprises: a support structure defining an interior volume configured to receive an air flow;a plurality of mixing tubes disposed within the interior volume, wherein each mixing tube of the plural

1. A system, comprising: a multi-tube fuel nozzle assembly, wherein the multi-tube fuel nozzle assembly comprises: a support structure defining an interior volume configured to receive an air flow;a plurality of mixing tubes disposed within the interior volume, wherein each mixing tube of the plurality of mixing tubes is configured to mix air and fuel to form an air-fuel mixture; anda combustor cap coupled to the support structure, wherein the combustor cap comprises a plurality of furcating nozzles integrated within the combustor cap, each furcating nozzle of the plurality of furcating nozzles is coupled to a respective mixing tube of the plurality of mixing tubes, and wherein each furcating nozzle of the plurality of furcating nozzles is configured to receive a flow of the air-fuel mixture and to partition the flow of the air-fuel mixture into a plurality of air-fuel mixture flows. 2. The system of claim 1, wherein each furcating nozzle of the plurality of furcating nozzles comprises a single first tube portion located upstream of a plurality of second tube portions. 3. The system of claim 2, wherein the single first tube portion comprises a first diameter, each second tube portion of the plurality of second tube portions comprises a second diameter that is smaller than the first diameter. 4. The system of claim 1, wherein the combustor cap comprises a first surface facing the plurality of mixing tubes and a second surface disposed opposite the second surface, and each furcating nozzle of the plurality of furcating nozzles is coupled to the respective mixing tube of the plurality of mixing tubes at the first surface. 5. The system of claim 4, wherein each furcating nozzle of the plurality of furcating nozzles comprises a shoulder located on the first surface of the combustor cap, and wherein an end portion of each respective mixing tube of the plurality of mixing tubes is disposed within a respective shoulder of a respective furcating nozzle. 6. The system of claim 4, comprising a plurality of springs, and a retainer plate disposed within the interior volume and removably coupled to the interior volume, wherein the retainer plate is configured to at least partially support the plurality of mixing tubes, and a respective spring of the plurality of springs is disposed about a respective downstream end portion of each mixing tube of the plurality of mixing tubes between the retainer plate and the first surface of the combustor cap. 7. The system of claim 4, wherein the plurality of furcating nozzles is configured to pull out heat from the combustor cap on the second surface via convective heat transfer. 8. The system of claim 4, comprising a thermal barrier coating disposed on the second surface. 9. The system of claim 1, wherein each furcating nozzle of the plurality of furcating nozzles comprises a central body and a plurality of structures disposed about the central body that radially extend between an outer surface of the central body and an inner surface of the furcating nozzle, and the central body and the plurality of structures define a plurality of passages for the plurality of air-fuel mixture flows. 10. The system of claim 9, wherein the central body increases in cross-sectional area in a direction from the first surface to the second surface. 11. The system of claim 10, wherein the central body comprises a conical portion. 12. The system of claim 9, wherein a width of each structure of the plurality of structures increases in a direction from the first surface to the second surface. 13. The system of claim 1, wherein each furcating nozzle of the plurality of furcating nozzles is configured to receive the flow of the air-fuel mixture in a first direction, and wherein each furcating nozzle of the plurality of furcating nozzles is configured, upon receiving the flow of the air-fuel mixture and partitioning the flow of the air-fuel mixture into the plurality of air-fuel mixture flows, to initially direct each air-fuel mixture flow of the plurality of air-fuel mixture flows in a second direction that partially diverges from the first direction. 14. The system of claim 13, wherein each furcating nozzle of the plurality of furcating nozzles is configured to subsequently direct each air-fuel mixture flow of the plurality of air-fuel mixture flows in the first direction after flowing in the second direction. 15. The system of claim 1, comprising a gas turbine engine, a combustor, or a combination thereof, having the multi-tube fuel nozzle assembly. 16. A system, comprising: a multi-tube fuel nozzle, wherein the multi-tube fuel nozzle assembly comprises: a support structure defining an interior volume configured to receive an air flow;a plurality of mixing tubes disposed within the interior volume, wherein each mixing tube of the plurality of mixing tubes is configured to mix air and fuel to form an air-fuel mixture; anda combustor cap coupled to the support structure and comprising a first surface facing the plurality of mixing tubes and a second surface disposed opposite the first surface, wherein the combustor cap comprises a plurality of furcating nozzles integrated within the combustor cap, each furcating nozzle of the plurality of furcating nozzles is coupled to a respective mixing tube of the plurality of mixing tubes at the first surface, wherein each furcating nozzle of the plurality of furcating nozzles comprises a single first tube portion adjacent the first surface and a plurality of second tube portions adjacent the second surface, the single first tube portion has a first diameter, and each second tube portion of the plurality of second tube portions has a second diameter that is smaller than the first diameter. 17. The system of claim 16, wherein each second tube portion of the plurality of second tube portions comprises a first portion adjacent the single first tube portion that diverges from the first tube portion. 18. The system of claim 17, wherein each second tube portion of the plurality of second tube portions comprises a second portion coupled to the first portion that is parallel and radially offset relative to the single first tube portion. 19. The system of claim 16, wherein each furcating nozzle of the plurality of nozzles comprises a central body having a conical portion and a plurality of structures disposed about the central body that radially extend between an outer surface of the central body and an inner surface of the furcating nozzle, and the central body and the plurality of structures define the plurality of second tube portions. 20. A system, comprising: a combustor cap configured to be coupled to a plurality of mixing tubes of a multi-tube fuel nozzle, wherein each mixing tube of the plurality of mixing tubes is configured to mix air and fuel to form an air-fuel mixture, the combustor cap comprises a plurality of furcating nozzles integrated within the combustor cap, each furcating nozzle of the plurality of furcating nozzles is configured to couple to a respective mixing tube of the plurality of mixing tubes, the combustor cap comprises a first surface that is configured to face the plurality of mixing tubes and a second surface disposed opposite the first surface, wherein each furcating nozzle of the plurality of furcating nozzles comprises a single first tube portion adjacent the first surface and a plurality of second tube portions adjacent the second surface, the single first tube portion has a first diameter, and each second tube portion of the plurality of second tube portions has a second diameter that is smaller than the first diameter.