A method for fabricating a fuel injector, comprising: irradiating a layer of powder in a powder bed to form a fused region, the powder bed disposed on a build plate; providing a subsequent layer of powder over the powder bed by passing a recoater arm over the powder bed from a first side of the powder bed; and repeating steps the irradiating step and the providing step until the fuel injector is formed on the build plate, wherein the fuel injector comprises: a forward end wall and an aft end wall disposed oppositely from one another; side walls extending between the forward end wall and the aft end wall, wherein the forward end wall and the aft end wall are arcuate, and wherein the forward end wall, the aft end wall, and the side walls collectively define an opening for passage of air, wherein the forward end wall, the aft end wall, and the side walls each define a respective interior surface that collectively provide a boundary for the opening, wherein the opening comprises a major axis and a minor axis, and wherein the interior surface of the forward end wall and the interior surface of the aft end wall diverge away from the minor axis from a first side wall of the side walls to the major axis and converge towards the minor axis from the major axis to a second side wall of the side walls; at least one fuel injection member disposed within the opening and extending between the forward end wall and the aft end wall an injection axis defined through the center of the opening and a longitudinal axis perpendicular to the injection axis, wherein the longitudinal axis of the fuel injector forms an angle with the build plate that is oblique. irradiating a layer of powder in a powder bed to form a fused region, the powder bed disposed on a build plate; providing a subsequent layer of powder over the powder bed by passing a recoater arm over the powder bed from a first side of the powder bed; and repeating steps the irradiating step and the providing step until the fuel injector is formed on the build plate, wherein the fuel injector comprises: a forward end wall and an aft end wall disposed oppositely from one another; side walls extending between the forward end wall and the aft end wall, wherein the forward end wall and the aft end wall are arcuate, and wherein the forward end wall, the aft end wall, and the side walls collectively define an opening for passage of air, wherein the forward end wall, the aft end wall, and the side walls each define a respective interior surface that collectively provide a boundary for the opening, wherein the opening comprises a major axis and a minor axis, and wherein the interior surface of the forward end wall and the interior surface of the aft end wall diverge away from the minor axis from a first side wall of the side walls to the major axis and converge towards the minor axis from the major axis to a second side wall of the side walls; at least one fuel injection member disposed within the opening and extending between the forward end wall and the aft end wall an injection axis defined through the center of the opening and a longitudinal axis perpendicular to the injection axis, wherein the longitudinal axis of the fuel injector forms an angle with the build plate that is oblique. a forward end wall and an aft end wall disposed oppositely from one another; side walls extending between the forward end wall and the aft end wall, wherein the forward end wall and the aft end wall are arcuate, and wherein the forward end wall, the aft end wall, and the side walls collectively define an opening for passage of air, wherein the forward end wall, the aft end wall, and the side walls each define a respective interior surface that collectively provide a boundary for the opening, wherein the opening comprises a major axis and a minor axis, and wherein the interior surface of the forward end wall and the interior surface of the aft end wall diverge away from the minor axis from a first side wall of the side walls to the major axis and converge towards the minor axis from the major axis to a second side wall of the side walls; at least one fuel injection member disposed within the opening and extending between the forward end wall and the aft end wall an injection axis defined through the center of the opening and a longitudinal axis perpendicular to the injection axis, wherein the longitudinal axis of the fuel injector forms an angle with the build plate that is oblique.