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Methods and systems for a feed injector are provided. The feed injector includes a first annular channel defined in the feed injector. The first annular channel includes a first end, an arcuate portion and a second end. The arcuate portion is between the first and second ends, and the first annular

Methods and systems for a feed injector are provided. The feed injector includes a first annular channel defined in the feed injector. The first annular channel includes a first end, an arcuate portion and a second end. The arcuate portion is between the first and second ends, and the first annular channel is oriented substantially concentrically about a longitudinal axis of the feed injector. The arcuate portion is oriented to discharge a fluid flowing through the first annular channel radially outward with respect to the longitudinal axis. The feed injector also includes a second annular channel including a first end, an arcuate portion, and a second end, wherein the arcuate portion is between the first and second ends. The second annular channel circumscribes the first annular channel, and the second annular channel first end is positioned radially outward and downstream from the first annular channel first end.

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1. A feed injector for use in a gasifier, said feed injector comprising: a first annular channel defined in said feed injector, said first annular channel comprising a first end, an arcuate portion and a second end, said arcuate portion is between said first and second ends, said first annular chann

1. A feed injector for use in a gasifier, said feed injector comprising: a first annular channel defined in said feed injector, said first annular channel comprising a first end, an arcuate portion and a second end, said arcuate portion is between said first and second ends, said first annular channel is oriented substantially concentrically about a longitudinal axis of said feed injector such that a first arc angle is defined between said longitudinal axis and said first annular channel, said arcuate portion is oriented to discharge a fluid flowing through said first annular channel radially outward with respect to said longitudinal axis, said first annular channel further comprises an inner flow path defined therein;a second annular channel comprising a first end, an arcuate portion, and a second end, said arcuate portion is between said first and second ends, said second annular channel circumscribes said first annular channel and a second arc angle is defined between said longitudinal axis and said second annular channel, said second annular channel first end is positioned radially outward and downstream from said first annular channel first end such that said first annular channel and said second annular channel converge into a merged annular channel that extends longitudinally downstream from said first annular channel first end;a third annular channel comprising a first end, an arcuate portion, and a second end, said arcuate portion is between said first and second ends, said third annular channel circumscribes said second annular channel, said third annular channel first end is positioned radially outward and downstream from said second annular channel first end, such that a first fluid flow in said first annular channel and a second fluid flow in said second annular channel combine in said merged annular channel upstream of a location where said merged annular channel converges with said third annular channel first end; anda tip insert positioned within a portion of said first annular channel such that said tip insert is positioned in a portion of said inner flow path, said tip insert comprising a divergent tip end that extends at least partially into a reaction zone, wherein said tip insert further comprises a tip surface that curves radially outward at a third arc angle with respect to said longitudinal axis, wherein the third arc angle is approximately equal to the first and second arc angles. 2. A feed injector in accordance with claim 1, wherein each of said first, second, and third arcuate portions extends from said first end towards said second end. 3. A feed injector in accordance with claim 1, wherein said feed injector is configured to discharge a first oxidation fluid, a carbonaceous fuel, and a second oxidation fluid to the reaction zone, such that at least two of the fluids are mixed prior to the fluids being discharged from said feed injector. 4. A feed injector in accordance with claim 3, wherein said first annular channel is oriented to discharge the first oxidation fluid towards the carbonaceous fuel at a first discharge angle, such that the carbonaceous fuel forms a substantially stable film. 5. A feed injector in accordance with claim 4, wherein said feed injector is configured such that the second oxidation fluid impacts the substantially stable film of carbonaceous fuel at a second discharge angle, and wherein the second oxidation fluid facilitates substantially atomizing the carbonaceous fuel. 6. A feed injector in accordance with claim 5, wherein said first discharge angle is different from said second discharge angle. 7. A feed injector in accordance with claim 1, wherein said feed injector is configured to discharge at least one of air, oxygen, oxygen enriched air, steam, carbon dioxide, and nitrogen to the reaction zone. 8. A gasifier system comprising: a pressure vessel for use in at least partially oxidizing a carbonaceous fuel; anda feed injector configured to inject a carbonaceous fuel into said pressure vessel, said feed injector comprises: a first annular channel defined in said feed injector, said first annular channel comprising a first end, an arcuate portion and a second end, said arcuate portion is between said first and second ends, said first annular channel is oriented substantially concentrically about a longitudinal axis of said feed injector such that a first arc angle is defined between said longitudinal axis and said first annular channel, said arcuate portion is oriented to discharge a fluid flowing through said first annular channel radially outward with respect to said longitudinal axis, said first annular channel further comprises an inner flow path defined therein;a second annular channel comprising a first end, an arcuate portion, and a second end, said arcuate portion is between said first and second ends, said second annular channel circumscribes said first annular channel and a second arc angle is defined between said longitudinal axis and said second annular channel, said second annular channel first end is positioned radially outward and downstream from said first annular channel first end such that said first annular channel and said second annular channel converge into a merged annular channel that extends longitudinally downstream from said first annular channel first end;a third annular channel comprising a first end, an arcuate portion, and a second end, said arcuate portion is between said first and second ends, said third annular channel circumscribes said second annular channel, said third annular channel first end is positioned radially outward and downstream from said second annular channel first end, such that a first fluid flow in said first annular channel and a second fluid flow in said second annular channel combine in said merged annular channel upstream of a location where said merged annular channel converges with said third annular channel first end; anda tip insert positioned within a portion of said first annular channel such that said tip insert is positioned in a portion of said inner flow path, said tip insert comprising a divergent tip end that extends at least partially into a reaction zone, wherein said tip insert further comprises a tip surface that curves radially outward at a third arc angle with respect to said longitudinal axis, wherein the third arc angle is approximately equal to the first and second arc angles. 9. A gasifier system in accordance with claim 8, wherein the feed injector is configured to discharge at least one of air, oxygen, oxygen enriched air, steam, carbon dioxide, and nitrogen to the reaction zone. 10. A gasifier system in accordance with claim 8, wherein each of said first, second, and third arcuate portions extends from said first end towards said second end. 11. A gasifier system in accordance with claim 8, wherein said feed injector is configured to discharge a first oxidation fluid, a second oxidation fluid, and a carbonaceous fuel to the reaction zone, such that at least two of the fluids are mixed prior to the fluids being discharged from said feed injector. 12. A gasifier system in accordance with claim 11, wherein said first annular channel is oriented to discharge the first oxidation fluid towards the carbonaceous fuel at a first discharge angle, such that the carbonaceous fuel forms a substantially stable film. 13. A gasifier system in accordance with claim 12, wherein said feed injector is configured such that the second oxidation fluid impacts the substantially stable film of carbonaceous fuel at a second discharge angle, and wherein the second oxidation fluid facilitates substantially atomizing the carbonaceous fuel. 14. A gasifier system in accordance with claim 13, wherein said first discharge angle is different from said second discharge angle. 15. An annular tube assembly for use in a gasifier feed injector, said annular tube assembly comprising: an annular tube insert comprising a divergent first end that extends at least partially into a reaction zone, an arcuate portion, and a second end, said arcuate portion extends from said first end towards said second end, said annular tube insert extends substantially concentrically about a longitudinal axis of the feed injector, wherein said tube insert further comprises a surface that curves radially outward at a first arc angle with respect to said longitudinal axis;a first annular tube comprising a first end, an arcuate portion, and a second end, said arcuate portion extends from said first end towards said second end, said first annular tube circumscribes said annular tube insert such that said tube insert is positioned in a portion of an inner flow path defined within said first annular tube and a second arc angle is defined between said longitudinal axis and said first annular tube; anda second annular tube comprising a first end, an arcuate portion, and a second end, said arcuate portion extends from said first end towards said second end, said second annular tube circumscribes said first annular tube and a third arc angle is defined between said longitudinal axis and said second annular tube, said second annular tube first end is radially outward and downstream from said first annular tube first end such that said first annular tube and said second annular tube converge into a merged annular tube that extends longitudinally downstream from said first annular tube first end, wherein the first arc angle is approximately equal to the second and third arc angles; anda third annular tube comprising a first end, an arcuate portion, and a second end, said arcuate portion is between said first and second ends, said third annular tube circumscribes said second annular tube, said third annular tube first end is positioned radially outward and downstream from said second annular tube first end, such that a first fluid flow in said first annular tube and a second fluid flow in said second annular tube combine in said merged annular tube upstream of a location where said merged annular tube converges with said third annular tube first end. 16. An annular tube assembly in accordance with claim 15, wherein each of said first, second, and third annular tube arcuate portions curve radially outward relative to the longitudinal axis of the feed injector. 17. An annular tube assembly in accordance with claim 16, wherein said annular tube insert first end is downstream from each of said first and second annular tube first ends.