Compressor section of gas turbine engine including shroud with serrated casing treatment

1. A compressor section of a gas turbine engine, the compressor section defining a downstream direction and an upstream direction, the compressor section comprising:

a shroud with a shroud surface;

a rotor rotatably supported within the shroud, the rotor including a blade that radially terminates at a blade tip, the blade tip opposing the shroud surface, the rotor configured to rotate within the shroud about an axis of rotation;

a serration groove that is recessed into the shroud surface;

the serration groove including a forward portion with a forward transition and a forward surface that faces in the downstream direction, the forward transition being convexly contoured between the shroud surface and the forward surface; and

the serration groove including a trailing portion with a taper surface and a trailing transition, the taper surface tapering inward as the taper surface extends from the forward surface to the trailing transition, the trailing transition being convexly contoured between the taper surface and the shroud surface.

2. The compressor section of claim 1 , wherein the forward surface and the taper surface are substantially flat.

3. The compressor section of claim 1 , wherein:

the forward transition intersects the shroud surface at a first intersection;

the forward transition intersects the forward surface at a second intersection;

the forward surface intersects the taper surface at a third intersection;

the taper surface intersects the trailing transition at a fourth intersection;

the trailing transition intersects the shroud surface at a fifth intersection;

the forward surface and the shroud surface define an imaginary sixth intersection; and

the taper surface and the shroud surface define an imaginary seventh intersection.

4. The compressor section of claim 3 , wherein the forward portion has a first dimension measured from the first intersection to the sixth intersection;

wherein the trailing portion has a second dimension measured along the taper surface, the second dimension measured from the third intersection to the seventh intersection; and

wherein the first dimension is between approximately five percent (5%) and fifty-five percent (55%) of the second dimension.

5. The compressor section of claim 4 , wherein the first dimension is between approximately six percent (6%) and thirteen percent (13%) of the second dimension.

6. The compressor section of claim 3 , wherein the trailing portion has a second dimension measured along the taper surface, the second dimension measured from the third intersection to the seventh intersection;

wherein the trailing portion has a third dimension measured along the taper surface, the third dimension measured from the fourth intersection to the seventh intersection; and

wherein the third dimension is between approximately five percent (5%) and fifty-five percent (55%) of the second dimension.

7. The compressor section of claim 6 , wherein the third dimension is between approximately twenty percent (20%) and forty percent (40%) of the second dimension.

8. The compressor section of claim 3 , wherein the trailing portion has a second dimension measured along the taper surface, the second dimension measured from the third intersection to the seventh intersection;

wherein the blade tip defines a chord length dimension between a forward end and an aft end of the blade tip; and

wherein the second dimension is between approximately four percent (4%) and twenty-nine percent (29%) of the chord length dimension.

9. The compressor section of claim 3 , wherein the trailing portion has a fourth dimension measured from the sixth intersection to the seventh intersection;

wherein the blade tip defines a chord length dimension between a forward end and an aft end of the blade tip; and

wherein the fourth dimension is between approximately three percent (3%) and twenty percent (20%) of the chord length dimension.

10. The compressor section of claim 3 , wherein the serration groove has a depth dimension measured radially from the sixth intersection to the third intersection;

wherein the blade tip defines a chord length dimension between a forward end and an aft end of the blade tip; and

wherein the depth dimension is between approximately five percent (5%) and fifteen percent (15%) of the chord length.

11. The compressor section of claim 3 , wherein the trailing portion has a second dimension measured along the taper surface, the second dimension measured from the third intersection to the seventh intersection;

wherein the trailing portion has a fifth dimension measured axially from the seventh intersection to the fifth intersection; and

wherein the fifth dimension is between approximately twenty percent (20%) and forty percent (40%) of the second dimension.

12. The compressor section of claim 3 , wherein the serration groove is a first serration groove of a plurality of serration grooves recessed into the shroud surface, the plurality of serration grooves including a second serration groove;

wherein the first serration groove defines a groove length dimension distance measured axially from the sixth intersection to the seventh intersection;

wherein the plurality of serration grooves defines a second axial distance measured axially between the fifth intersection of the first serration groove and the first intersection of the second serration groove;

wherein the second axial distance is greater than five percent (5%) of the groove length dimension.

13. The compressor section of claim 3 , wherein at least one of the first intersection and the fifth intersection is continuous and gradual; and

wherein at least one of the second intersection and the fourth intersection include an edge.

14. The compressor section of claim 1 , wherein a minimum radius of the forward transition is, at most, two-fifths (⅖) the minimum radius of the trailing transition.

15. The compressor section of claim 1 , wherein the blade tip includes a forward end and an aft end, and wherein the blade tip is curved between the forward end and the aft end.

16. A method of manufacturing a shroud of a gas turbine engine comprising:

forming a shroud surface of the shroud, the shroud surface configured to oppose a blade tip of a rotor rotatably supported within the shroud, the shroud surface defining a downstream direction;

forming a serration groove that is recessed into the shroud surface to include a forward portion with a forward transition and a forward surface that faces in the downstream direction, the forward transition being convexly contoured between the shroud surface and the forward surface, the serration groove including a trailing portion with a taper surface and a trailing transition, the taper surface tapering in an inward direction as the taper surface extends from the forward surface to the trailing transition, the trailing transition being convexly contoured between the taper surface and the shroud surface.

17. The method of claim 16 , further comprising removing material from the shroud surface to recess the serration groove into the shroud surface.

18. The method of claim 16 , further comprising additively manufacturing the shroud surface and the serration groove concurrently.

19. A compressor section of a gas turbine engine, the compressor section defining a downstream direction and an upstream direction and comprising:

a shroud with a shroud surface;

a rotor rotatably supported within the shroud, the rotor including a blade that radially terminates at a blade tip, the blade tip being curved between a forward end of the blade tip and an aft end of the blade tip, the blade tip opposing the shroud surface, the rotor configured to rotate within the shroud about an axis of rotation;

a casing treatment with a plurality of serration grooves that are recessed into the shroud surface, the serration grooves respectively including a forward portion and a trailing portion;

the forward portion including a forward transition and a forward surface that faces in the downstream direction, the forward transition being convexly contoured between the shroud surface and the forward surface;

the trailing portion including a taper surface and a trailing transition, the taper surface tapering inward as the taper surface extends from the forward surface to the trailing transition, the trailing transition being convexly contoured between the taper surface and the shroud surface;

the forward transition intersecting the shroud surface at a first intersection and intersecting the forward surface at a second intersection;

the forward surface intersecting the taper surface at a third intersection;

the taper surface intersecting the trailing transition at a fourth intersection;

the trailing transition intersecting the shroud surface at a fifth intersection;

the forward surface and the shroud surface defining an imaginary sixth intersection;

the taper surface and the shroud surface defining an imaginary seventh intersection;

the forward portion having a first dimension measured from the first intersection to the sixth intersection;

the trailing portion having a second dimension and a third dimension measured along the taper surface, the second dimension measured from the third intersection to the seventh intersection, the third dimension measured from the fourth intersection to the seventh intersection;

the first dimension being between approximately six percent (6%) and thirteen percent (13%) of the second dimension; and

the third dimension being between approximately twenty percent (20%) and forty percent (40%) of the second dimension.

20. The compressor section of claim 19 , wherein the blade tip defines a chord length dimension between the forward end and the aft end of the blade tip; and

wherein the second dimension is between approximately four percent (4%) and twenty-nine percent (29%) of the chord length dimension.