Methods and systems for a fuel injector

An injector, comprising:

• a tip including at least one injection nozzle comprising a venturi throat arranged between a venturi inlet and a venturi outlet, and where the venturi inlet comprises at least one upstream twisted fin and the venturi outlet comprises at least one downstream twisted fin spaced away from the at least one upstream twisted fin;
• and
• an air entrainment system fluidly coupled to an extreme end of the venturi outlet and the venturi throat, and where the air entrainment system is arranged completely outside of the at least one injection nozzle, wherein the air entrainment system comprises two or more air entrainment passages directly fluidly coupled to a chamber, where the chamber extends around an entire circumference of the venturi throat.

A fuel injector, comprising:

• a curved tip comprising a central nozzle arranged along a central axis, a plurality of inner ring nozzles arranged around the central axis via a first diameter, a plurality of middle ring nozzles arranged around the central axis via a second diameter, and a plurality of outer ring nozzles arranged around the central axis via a third diameter, and where each of the pluralities of inner, middle, and outer ring nozzles are angled relative to the central axis, wherein one or more of the central nozzle and the pluralities of inner, middle, and outer rings nozzles comprises a venturi throat arranged between a venturi inlet and a venturi outlet, and where the venturi inlet comprises at least one upstream twisted fin, and where the venturi outlet comprises at least one downstream twisted fin, and where the at least one downstream twisted fin is misaligned with the at least one upstream twisted fin relative to a general direction of fuel mixture flow.