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An air bearing assembly is provided that includes a bearing sleeve that has two slots side-by-side having rectangular profiles for engaging the ends of first and second bearing foils for supporting a shaft of a dual-stage compressor. The first rectangular-profile slot, which may be made using a broa

An air bearing assembly is provided that includes a bearing sleeve that has two slots side-by-side having rectangular profiles for engaging the ends of first and second bearing foils for supporting a shaft of a dual-stage compressor. The first rectangular-profile slot, which may be made using a broaching process, is designed to receive first ends of the first bearing foil and the second bearing foil. The second rectangular-profile slot, which may also be made using a broaching process, is designed to receive a second end of the second bearing foil. This dual-slot design replaces the complex “L” shaped single slot design of conventional bearing sleeves, allowing for high-volume, low-cost manufacturing of the bearing sleeves. The dual-slot design also provides for robust engagement of the bearing foils with the bearing sleeves, while allowing easy assembly and installation of the air bearing assemblies.

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1. An air bearing assembly for a turbomachinery shaft comprising: a bearing sleeve configured to support a turbomachinery shaft, wherein the bearing sleeve defines an inner surface;a first bearing foil disposed proximate the inner surface of the bearing sleeve; and a second bearing foil disposed bet

1. An air bearing assembly for a turbomachinery shaft comprising: a bearing sleeve configured to support a turbomachinery shaft, wherein the bearing sleeve defines an inner surface;a first bearing foil disposed proximate the inner surface of the bearing sleeve; and a second bearing foil disposed between the first bearing foil and the shaft supported by the bearing sleeve,wherein the inner surface of the bearing sleeve defines a plurality of first retention slots, wherein at least one of the first retention slots is configured to engage a first end of the first bearing foil and a first end of the second bearing foil, andwherein the inner surface of the bearing sleeve defines a second retention slot, wherein the second retention slot is located closer to the at least one of the first retention slots that is configured to engage the first end of the first bearing foil than to the other first retention slots and wherein the second retention slot is configured to engage a second end of the second bearing foil, such that the first and second bearing foils are maintained in engagement with the bearing sleeve via engagement of the respective ends with a corresponding one of the first and second retention slots,wherein the first end of the first bearing foil comprises a tang defining an L-bend, wherein the tang is configured to engage the respective first retention slot such that a first leg of the L-bend is disposed proximate a sidewall of the first retention slot and a second leg of the L-bend is disposed proximate an endwall of the first retention slot, and wherein the first and second bearing foils do not extend across a gap between the second retention slot and the first retention slot that is configured to engage the first end of the first bearing foil. 2. The air bearing assembly of claim 1, wherein a cross-section of at least one of the first or second retention slots comprises two opposing linear sidewalls and an endwall extending linearly therebetween. 3. The air bearing assembly of claim 1, wherein a cross-section of each of the first and second retention slots comprises two opposing linear sidewalls and an endwall extending linearly therebetween. 4. The air bearing assembly of claim 1, wherein the first bearing foil comprises a plurality of first bearing foils configured to be arranged in series around a circumference of the inner surface of the bearing sleeve, and wherein each of the plurality of first retention slots is configured to engage a corresponding first end of the plurality of first bearing foils. 5. The air bearing assembly of claim 4, wherein the inner surface of the bearing sleeve defines a single second retention slot disposed proximate only one of the plurality of first retention slots. 6. The air bearing assembly of claim 1, wherein the first end of the second bearing foil comprises a straight tang and a second end of the second bearing foil comprises a straight tang. 7. The air bearing assembly of claim 1, wherein each of the first retention slots is configured to extend a length that is equal to a length of the bearing sleeve, and wherein the second retention slot is configured to extend a length that is equal to the length of the bearing sleeve. 8. A bearing sleeve for an air bearing assembly configured to support a turbomachinery shaft, wherein an inner surface of the bearing sleeve defines: a plurality of first retention slots, wherein at least one of the first retention slots is configured to engage a first end of a first bearing foil and a first end of a second bearing foil, wherein the first end of the first bearing foil comprises a tang defining an L-bend, wherein the tang is configured to engage the respective first retention slot such that a first leg of the L-bend is disposed proximate a sidewall of the first retention slot and a second leg of the L-bend is disposed proximate an endwall of the first retention slot; anda second retention slot located closer to the at least one of the first retention slots that is configured to engage the first end of the first bearing foil than to the other first retention slots, wherein the second retention slot is configured to engage a second end of the second bearing foil,wherein the first and second bearing foils are maintained in engagement with the bearing sleeve via engagement of the respective ends with a corresponding one of the first and second retention slots such that the first bearing foil is disposed proximate the inner surface of the bearing sleeve and the second bearing foil is disposed between the first bearing foil and the shaft supported by the bearing sleeve, andwherein the first and second bearing foils do not extend across a gap between the second retention slot and the first retention slot that is configured to engage the first end of the first bearing foil. 9. The bearing sleeve of claim 8, wherein a cross-section of at least one of the first or second retention slots comprises two opposing linear sidewalls and an endwall extending linearly therebetween. 10. The bearing sleeve of claim 8, wherein a cross-section of each of the first and second retention slots comprises two opposing linear sidewalls and an endwall extending linearly therebetween. 11. The bearing sleeve of claim 8, wherein the plurality of first retention slots is configured to engage corresponding first ends of a plurality of first bearing foils, wherein the plurality of first bearing foils are configured to be arranged in series around a circumference of the inner surface of the bearing sleeve. 12. The bearing sleeve of claim 11, wherein the inner surface of the bearing sleeve defines a single second retention slot disposed proximate only one of the plurality of first retention slots. 13. The bearing sleeve of claim 8, wherein each of the first retention slots is configured to extend a length that is equal to a length of the bearing sleeve, and wherein the second retention slot is configured to extend a length that is equal to the length of the bearing sleeve. 14. A method of manufacturing a bearing sleeve for an air bearing assembly, wherein the air bearing assembly is configured to support a turbomachinery shaft, the method comprising: forming a plurality of first retention slots in an inner surface of the bearing sleeve, wherein at least one of the first retention slots is configured to engage a first end of a first bearing foil and a first end of a second bearing foil, wherein the first end of the first bearing foil comprises a tang defining an L-bend, wherein the tang is configured to engage the respective first retention slot such that a first leg of the L-bend is disposed proximate a sidewall of the first retention slot and a second leg of the L-bend is disposed proximate an endwall of the first retention slot; andforming a second retention slot in the inner surface of the bearing sleeve at a location closer to the at least one of the first retention slots that is configured to engage the first end of the first bearing foil than to the other first retention slots, wherein the second retention slot is configured to engage a second end of the second bearing foil, wherein the first and second bearing foils are maintained in engagement with the bearing sleeve via engagement of the respective ends with a corresponding one of the first and second retention slots such that the first bearing foil is disposed proximate the inner surface of the bearing sleeve and the second bearing foil is disposed between the first bearing foil and the shaft supported by the bearing sleeve, and wherein the first and second bearing foils do not extend across a gap between the second retention slot and the first retention slot that is configured to engage the first end of the first bearing foil. 15. The method of claim 14, wherein a cross-section of each of the first and second retention slots comprises two opposing linear sidewalls and an endwall extending linearly therebetween. 16. The method of claim 14, wherein the first retention slots are arranged around a circumference of the inner surface of the bearing sleeve. 17. The method of claim 16, wherein forming the second retention slot comprises forming a single second retention slot proximate only one of the plurality of first retention slots. 18. The method of claim 14, wherein each of the first retention slots extends a length that is equal to a length of the bearing sleeve, and wherein the second retention slot extends a length that is equal to the length of the bearing sleeve. 19. The method of claim 14, wherein forming the first retention slots and forming the second retention slot comprises using a broaching process.