Technical Field
[0001] The invention pertains to a turbine blade and in particular to a three-dimensional
shape of the end-regions of the blade.
Background Art
[0002] Turbine blades are described having a suction and pressure side and extending from
a hub to a tip and from a leading edge to a trailing edge. A chord extends essentially
from the leading edge to the trailing edge of the blade. The blades are integrally
machined with blade platforms, typically of a rhombus shape, for mounting on a rotor.
[0003] The flow of a working medium through a turbine may be described having a core flow
in the mid-region between the tip and hub of the blade and flow layers near the end-wall
regions. Near the end-wall regions, an inlet boundary layer of the flow rolls about
the leading edge of the blades giving rise to horse shoe like vortices flowing along
both the pressure as well as the suction side of the blade. Traverse pressure gradients
between the pressure side of blades in a given blade row and the suction side of blades
in an adjacent blade row act together with radial pressure gradients on the horse
shoe vortices and cause complex three-dimensional flow patterns, also known as secondary
flows. These constitute a significant portion of the overall losses encountered in
turbine stages of low aspect ratio (ratio of longitudinal blade length to chord length).
[0004] A decrease of the chord length near the end-walls can be realised by cutting back
the blade profile at the trailing edge and effectively shortening the axial extent
of the blade in the end-wall regions. A decreased chord length triggers a faster expansion
of the end-wall flow, creating a radial pressure gradient such that the penetration
of the secondary vortex flow into the main flow in the mid-region of the blade is
reduced.
[0005] Therefore a shortening of the chord length near the end-walls is advantageous from
the point of view of secondary vortex flows. However, there are disadvantages in that
a cut-back of the end-regions also leads to a higher load per unit length of the blade,
which causes greater secondary flows due to transverse pressure gradients from the
pressure side of a blade to the suction side of an adjacent blade.
[0006] Furthermore, a cut-back of the trailing edge results in an increase of the exit angle,
which can cause undesirable changes in the swallowing capacity and other key design
parameters.
Summary of the Invention
[0007] It is the object of the invention to provide a turbine blade that avoids the above
mentioned disadvantages in connection with shortened chord lengths in the end-regions.
A blade according to the invention is disclosed in claim 1. Particular embodiments
of the blade are disclosed in the subclaims.
[0008] A turbine blade, rotating or stationary, extends from a platform to a tip and comprises
a pressure side and suction side, a leading edge and a trailing edge. A chord extends
between the leading and trailing edge essentially parallel to the platform. The blade
is considered to have end-regions near the platform and near the tip with a mid region
extending radially between the two end regions. According to the invention, the trailing
edge in one or both of the said end-regions is shaped having a cut-back relative to
the mid-region of the trailing edge. In addition, the blade comprises a twist of the
blade in the end-region or end-regions with the cutback in combination with a lean
of the end-regions with the cut-back. The lean is directed perpendicular to the chord
and such that the pressure side points toward the platform of the blade.
[0009] A cut-back of a blade trailing edge alone would cause an increased throat and flow
angle of the blading, which in turn would cause a reduction of the expansion or pressure
drop near the endwall. A cut-back alone furthermore effects an increase in the loading
of the end-regions, as already mentioned. Also, a smaller chord length results in
an increased pitch to chord ratio, which leads to a load increase.
[0010] In order to correct for the increase of throat and exit angle, the blade is twisted
in the region of the cut-back. This effectively produces a closing of the throat.
Throat and flow angle are again restored to their original values without cut-back
and the original amount of expansion is restored as well.
However, such twisting of the blade results in that the profile section at the platform
extends locally outside of the rhombus-shaped blade platform resulting in an overhang
of the blade over the edge of the platform.
The lean according to the invention corrects for both the increased loading and the
profile section overhang outside the platform.
[0011] The lean of the blade perpendicular to the chord direction effectively produces a
higher pressure zone near the end walls, which leads to a reduction of the load in
the end-regions to levels comparable to a blade without cut-back.
[0012] The lean is realised by a translation of the end-region, which brings back the overhang
portion of the blade to within the extent of the blade platform. It is predominantly
in the cut-back end-region. The amount of lean is determined by the initial amount
of cut-back and amount of twist necessary for the closing of the throat.
The extent of the cut-back is determined according to the aspect ratio of blade length
to chord length. As such, its extent varies according to the type and size of blades
in the turbine.
[0013] The blade design according to the invention is equally applicable to both rotating
as well as stationary blades.
Brief Description of the Figures
[0014]
Figure 1 shows a side view of the blade of figure 1 with the cut-back of the trailing
edge,
figures 2a, b, and c illustrate in several cross-sectional views at different radial
levels according to II-II the end-region of the blade. Figure 2a) shows the cut-back,
figure 2b) the twist of cross-sectional profiles in the cut-back region, and figure
2c) the lean by means of a relative translation of cross-sectional profiles in the
end-region,
figure 3 shows a perspective view of the blade according to the invention.
Best Mode of the Invention
[0015] Figure 1 shows in a side view a rotating turbine blade 1. It extends from a leading
edge 4 to a trailing edge 5 and from a hub 2 to a tip 3 essentially in the radial
direction with respect to the turbine rotor. The blade is mounted on the rotor by
means of a blade platform 6, which is an integral part of the blade. It comprises
a blade shroud 7 at its tip 3 and end-regions 8a and 8b near the platform and tip
respectively, as well as a mid-region 9 between the end-regions. The radial extent
of the regions 8a, 8b, and 9 vary according to the size of the blade and stage position
within the turbine.
[0016] The blade according to the invention has the primary feature of a cut-back 10 of
the trailing edge 5 in its end-region. The shown embodiment has a cut-back only in
the end-region 8b near the hub 2 and platform 6.
[0017] The blade with a cut-back, as shown, has a reduced chord-length in the end-region
near the hub compared to a blade without cut-back. As a result of this measure, secondary
vortex-flows are reduced in this end-region. The cut-back b extends over a length
a in the longitudinal direction of the blade. The longitudinal extent a of the cut-back
is chosen according to the aspect ratio of blade length ℓ to chord length s, which
can vary for example within a range from 0.5 to 6. In general, the smaller the aspect
ratio of a blade, the greater is the effect of secondary vortex-flows. The extent
a of the cut-back is in the range between 0 and 40% of the length ℓ of the blade,
where the smaller the aspect ratio, the greater the extent a of the cut-back.
[0018] Figure 2a), b) and c) illustrate the steps of the blade design according to the invention.
For purposes of illustration, all design steps are shown in exaggerated manner. Figure
2a) shows cross-sectional profiles of two adjacent blades in a blade row. T indicates
the tangential direction of the turbine rotor. The figure shows for each blade three
profiles at the cross-section along II-II in figure 1 and at two further levels parallel
to II-II and within the end-region 8b between the line II-II and the platform 6. Profile
21 represents a profile in the mid-region 9 of the blade having no cut-back, while
the profiles 22 and 23 represent blade profiles at different levels within the end-region
with progressing cut-back and with a progressively shorter chord-length s.
[0019] The profile 23 is at the radial level closest to the blade platform and has the largest
b of cut-back. As a result of the cut-back, the throat t' between profiles 23 of the
adjacent blades is increased compared to the throat t between profiles 21. The exit
angle of the blades is increased as well.
[0020] Figure 2b shows a twisting of the cross-sectional profiles of the end-region 8b relative
to one another by means of a rotation of the cross-sectional blade profiles of figure
2a. The cross-sectional profiles are rotated in such a way that the trailing edge
of the blade is turned in a direction toward the suction side 30 of an adjacent blade
in the blade row and as a result the throat is closed or decreased. For example, the
blade profiles 24, 25, 26 are rotated about a point at or near the leading edge 4,
while the cross-sectional blade profiles of the mid-region are left unchanged. The
cross-sectional profiles could also be rotated about any other point, for example
about their center of gravity. In the case of cut-back in the end-region near the
blade tip, the twist is realized by rotation of blade profiles about a point on the
leading edge or other point such as centre of gravity.
[0021] Profiles 21 and 23 are again shown as reference. Profiles 24, 25, 26 show the progressive
twist of the blade, profile 26 being the profile closest to the platform 6 and rotated
the most. The twist effects a "closing" or decrease of the throat from throat t' between
cross-sectional profiles 23 to throat t" between cross-sectional profiles 26. The
arrow "C" indicates the direction of the "closing" the throat.
[0022] However, the twist of the blade end-region results in an overhang of the blade profiles
close to the blade platform over the edge of the platform 6. In order to correct for
this overhang, the blade end-region is leaned toward the platform according to the
invention as shown in figure 2c. It illustrates the lean of the end-region by means
of a translation of the cross-sectional profiles 27 and 28 with respect to profile
26 along the direction L perpendicular to the chord s. Profile 28 closest to the platform
is translated the most with respect to the mid-region and lies within the extent of
the blade platform. The amount of necessary translation is determined by the geometry
of the platform and aerodynamic considerations. The lean is preferably along the direction
perpendicular to the chord. However, it can also be along other directions, for example
the tangential direction, as long as the resultant blade profile is within the blade
platform.
[0023] In the case of a cut-back in the end-region near the tip of the blade, the problem
of overhang outside of the blade platform is not an issue. In this case, a lean of
the blade in the end-region is intended to decrease the local blade loading.
[0024] The complete blade design comprises cross-sectional profiles stacked in the longitudinal
direction. Beginning at the cross-sectional level where the cut-back begins (cross-section
21) and moving in the radial direction toward the blade platform, the cross-sectional
profiles have a progressing combination of cut-back, twist and lean, ending with cross-section
28.
[0025] Figure 3 shows a perspective view of the blade 1 with a trailing edge cutback in
the end-region 8b near the platform 6, a twist of the end-region with respect to the
mid-region 9 of the blade, and the lean 31 of the pressure side 32 toward the platform
6 along the line perpendicular to the chord. The lean 31 is most evident along the
leading edge 4 in the end-region near the platform 6.
[0026] Further possible embodiments of the blade according to the invention have a cut-back
in the end-region near the tip, or at both end-regions.
Reference numerals used in figures
[0027]
- 1
- blade
- 2
- hub
- 3
- tip
- 4
- leading edge
- 5
- trailing edge
- 6
- platform
- 7
- shroud
- 8a
- end-region near blade tip
- 8b
- end-region near blade platform
- 9
- mid-region
- 10
- cut-back
- 21-28
- cross-sectional profiles in end-region with cut-back
- 30
- suction side of blade
- 31
- lean of blade in end-region
- 32
- pressure side
- s
- chord
- a
- longitudinal extent of cut-back
- b
- extent of cut-back in axial direction
- ℓ
- longitudinal length of blade
- t
- throat of blade row
1. Turbine blade (1) in a blade row, the turbine blade having a pressure side and a suction
side (30) extending between a leading edge (4) and a trailing edge (5) and from a
blade platform (6) to a blade tip (3), the blade (1) comprising a first end-region
(8a) near the blade tip (3), a second end-region (8b) near the blade platform (6),
and a mid-region (9) extending between the first and second end-regions (8a, 8b),
and the blade having a chord (s) extending essentially along a straight line between
the leading edge (4) and the trailing edge (5), and the blade having cross-sectional
profiles (21-28) that are stacked along a longitudinal direction of the blade
characterised in that
the trailing edge (5) is shaped having a cut-back (10) relative to the mid-region
(9) in one or both of the first and second end-regions (8a, 8b) and that one or both
of the end-regions (8a, 8b) having a cut-back (10) are twisted relative to the mid-region
(9) of the blade (1) and that one or both of the end-regions (8a, 8b) having a cut-back
(10) comprises a lean (31) in a direction perpendicular to the chord (s) of the blade
and where the pressure side (32) of the blade is directed toward the blade platform
(6).
2. Turbine blade (1) according to claim 1
characterised in that
the cut-back (10) is dimensioned according to the aspect ratio of the blade (1) and
the longitudinal extent (a) of the cut-back (10) increases with decreasing blade aspect
ratio.
3. Turbine blade (1) according to claim 1
characterised in that
the extent (a) of the cut-back (10) along the longitudinal direction of the blade
is within the range from 0 to 40% of the longitudinal length (ℓ) of the blade (1).
4. Turbine blade (1) according to claim 1
characterised in that
the cross-sectional blade profiles (23-26) in one or both of the end-regions (8a,
8b) having a cut-back (10) are rotated relative to one another such that the trailing
edge (5) is directed toward the suction side (30) of an adjacent blade in the blade
row.
5. Turbine blade (1) according to claim 1
characterised in that
the cross-sectional blade profiles (26-28) in the end-regions (8a, 8b) having a cut-back
(10) are translated with respect to one another along a direction (L) perpendicular
to the chord (s) of the blade (1) such that the cross-sectional profile (28) closest
to the blade platform (6) lies within the extent of the blade platform (6).
6. Turbine blade (1) according to claim 1
characterised in that
the blade (1) is either a rotating or a stationary blade of a gas or steam turbine.