| CPC F01D 5/3007 (2013.01) [B64C 11/04 (2013.01); B64C 11/20 (2013.01); F01D 15/00 (2013.01)] | 22 Claims |

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1. A blade comprising:
a root configured to be mounted in a slot of a plurality of slots which open out at an outer periphery of a rotor disk of a movable wheel of a low-pressure turbine of an aeronautical propulsion system, the rotor disk being centered on a longitudinal axis and the plurality of slots being circumferentially distributed about the longitudinal axis, the rotor disk having an upstream surface and a downstream surface, each slot of the plurality of slots being delimited by a bottom surface, the rotor disk comprising a plurality of blades circumferentially distributed at the outer periphery of the rotor disk, each blade of the plurality of blades being mounted among the plurality of slots, the root comprising a first platform which has a radially outer surface;
a shroud comprising a second platform which has a radially inner surface; and
an airfoil extending from the root to the shroud, the airfoil having a leading edge and a trailing edge;
wherein a parameter N2S is defined as N2S=π(Re2−Ri2)×w2, wherein:
Re is an outer flowpath radius defined as an average of a first radial distance and of a second radial distance, the first radial distance being a distance between the longitudinal axis and a first corner point between the radially inner surface of the second platform and the leading edge, and the second radial distance being a distance between the longitudinal axis and a second corner point between the radially inner surface of the second platform and the trailing edge, the outer flowpath radius Re being in meters;
Ri is an inner flowpath radius defined as an average of a third radial distance and of a fourth radial distance, the third radial distance being a distance between the longitudinal axis and a third corner point between the radially outer surface of the first platform and the leading edge, and the fourth radial distance being a distance between the longitudinal axis and a fourth corner point between the radially outer surface of the first platform and the trailing edge, the inner flowpath radius Ri being in meters;
w is a limit rotation speed intended to be reached by a drive shaft of the aeronautical propulsion system when the aeronautical propulsion system operates at maximum constant power, the movable wheel of the low-pressure turbine of the aeronautical propulsion system being configured to drive in rotation the drive shaft about the longitudinal axis, the limit rotation speed w being in revolutions per minute;
wherein the blade is intended to be subjected to a temperature T when the drive shaft rotates at the limit rotation speed w;
wherein a parameter
![]() is defined as
![]() wherein:
RM is defined as
![]() H is a flowpath height defined as a difference between the outer flowpath radius Re and the inner flowpath radius Ri, the flowpath height H being in meters;
Z is the number of blades of the plurality of blades of the rotor disk;
Rj is a rim radius defined as a smallest radial distance between the longitudinal axis and the bottom surface of each slot of the plurality of slots, the rim radius Rj being in meters;
Lj is a rim thickness defined as an axial distance between a fifth corner point between the upstream surface of the rotor disk and a bottom surface of each slot of the plurality of slots, and a sixth corner point between the downstream surface of the rotor disk and the bottom surface, the rim thickness Lj being in meters;
wherein the outer flowpath radius Re and the inner flowpath radius Ri are further chosen such that
![]() wherein:
a=−0.6976;
b=694.65;
T is in degrees Celsius;
N2S is in 106 rpm2·m2; and
![]() is in 108 Newtons per cubic meter; and
wherein the outer flowpath radius Re is comprised in a range from 0.15 to 1.0 meters and the inner flowpath radius Ri is comprised in a range from 0.1 to 0.8 meters.
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