Turbine engine guide vane

1. A turbine engine guide vane, with a height extending between a vane root and a vane tip along a radial direction,

said vane comprising a succession of five bulge portions along a tangential direction perpendicular to the radial direction, this succession of bulge portions extending over the whole height of the vane, and the convexity of the successive bulge portions being alternately in one direction and in the other, wherein, said vane being defined by a plurality of sections stacked along the radial direction, each section is defined by a height along the radial direction from the root of the vane and by a tangential coordinate of the center of gravity of said section along a tangential direction,

a curve of the stacking law which defines for each section, the tangential coordinate of the center of gravity of said section depending on the height of the latter, is a curve which is continuous from the root to the tip of the vane and which satisfies at least the following conditions:

the curve is located below a segment connecting a point of said curve which corresponds to the section at the root of the vane and a point of said curve which corresponds to the section at the tip of the vane,

the curve is convex between the section height at the root of the vane and a first section height which is strictly greater than the section height at the root of the vane,

the curve is concave between the first section height and a second section height which is strictly greater than the first section height,

the curve is convex between the second section height and a third section height, which is strictly greater than the second section height,

the curve is concave between the third section height and a fourth section height, which is strictly greater than the third section height, and

the curve is convex between the fourth section height and the section height at the tip of the vane, said fourth height being strictly smaller than the section height at the tip of the vane.

2. The vane according to claim 1 , wherein: the curve of the stacking law of the sections of the vane:

is decreasing between the second section height and a fifth section height and increasing between the fifth section height and the third section height, said fifth section height being strictly greater than the second section height and strictly smaller than the third section height,

and/or

the curve is decreasing between the section height at the root of the vane and a sixth section height and increasing between the sixth section height and the first section height, said sixth section height being strictly greater than the section height at the root of the vane and strictly smaller than the first section height,

and/or

the curve is increasing between the first section height and a seventh section height and decreasing between the seventh section height and the second section height, said seventh section height being strictly greater than the first section height and strictly smaller than the second section height,

and/or

the curve is increasing between the third section height and an eighth section height and decreasing between the eighth section height and the fourth section height, said eighth section height being strictly greater than the third section height and strictly smaller than the fourth section height,

and/or

the curve is decreasing between the fourth section height and a ninth section height and increasing between the ninth section height and the section height at the tip of the vane, said ninth section height being strictly greater than the fourth section height and strictly smaller than the section height at the tip of the vane.

3. The vane according to claim 2 , wherein the points of the curve corresponding to the fifth, sixth, seventh, eighth and ninth heights respectively form a third, a first, a second, a fourth and a fifth apex of said curve, and

wherein a shift along the tangential direction of each of the apices of the curve relatively to a segment connecting, for each apex, the point of the curve positioned at half-distance between said apex and the preceding apex or when this is the first apex, at half-distance between said first apex and the point of the curve corresponding to the section at the root of the vane, and the point of the curve positioned at half-distance between said apex and the next apex or when this is the fifth apex, at half-distance between said fifth apex and the point of the curve corresponding to the section at the tip of the vane, is substantially equal to 10% of the height at the tip of the vane.

4. The vane according to claim 1 , wherein the curve representative of the stacking law of the sections of the vane is decreasing between the section height at the root of the vane and a fifth section height and increasing between the fifth section height and the section height at the tip of the vane, said fifth section height being strictly greater than the second section height and strictly smaller than the third section height.

5. The vane according to claim 1 , wherein the tangential coordinate of the center of gravity is minimum for a fifth section height, said fifth section height being strictly greater than the second section height and strictly smaller than the third section height.

6. The vane according to claim 2 , wherein the fifth section height substantially corresponds to half the height of the vane.

7. The vane according to claim 1 , wherein the first, second, third and fourth section heights are distributed along the vane between the section height at the root of the vane and the section height at the tip of the vane so as to form successive vane segments of substantially equal height.

8. A guide vane of a turbine engine comprising at least one vane according to claim 1 .

9. A turbine engine comprising at least one guide vane according to claim 8 .