FUEL INJECTION ASSEMBLY FOR A TURBOMACHINE

A fuel injection assembly (200) includes a fuel injector (202) having a first annular wall (214) that about an axial centerline (216) and extends from a primary inlet (220) disposed at a first end (222) to a primary outlet (224) disposed at a second end (226). A second annular wall (230) surrounds the first annular wall (214). A fuel plenum (232) is defined between the first annular wall (214) and the second annular wall (230). A fuel duct (208) extends from a fuel outlet (240) defined in the second annular wall (230) to a fuel inlet (242). wherein the fuel duct (208) is in fluid communication with the fuel plenum (232). The fuel duct (208) includes a polygonal segment (244) and a cylindrical inlet segment (246). The polygonal segment (244) extends from the fuel outlet (240) to the cylindrical inlet segment (246).