BACKGROUND OF THE INVENTION
1. Technical Field
[0001] This invention applies to gas turbine rotor blades in general, and to cooled gas
turbine rotor blades in particular.
2. Background Information
[0002] Turbine sections within an axial flow turbine engine include rotor assemblies that
each include a rotating disc and a number of rotor blades circumferentially disposed
around the disk. Rotor blades include an airfoil portion for positioning within the
gas path through the engine. Because the temperatures within the gas path very often
negatively affect the durability of the airfoil, it is known to cool an airfoil by
passing cooling air through the airfoil. The cooled air helps decrease the temperature
of the airfoil material and thereby increase its durability.
[0003] Prior art cooled rotor blades very often utilize internal passage configurations
that include a leading edge passage 10a that either dead-ends adjacent the tip (see
FIG. 7), or is connected to an axially extending passage that dead-ends prior to the
trailing edge. All of these internal passage configurations suffer from airflow stagnation
regions, or regions of relatively low velocity flow that inhibit internal convective
cooling. The airfoil wall regions adjacent these regions of low cooling effectiveness
are typically at a higher temperature than other regions of the airfoil, and are therefore
more prone to undesirable oxidation, thermal mechanical fatigue (TMF), creep, and
erosion.
[0004] What is needed, therefore, is an airfoil having an internal passage configuration
that promotes desirable cooling of the airfoil and thereby increases the durability
of the blade.
[0005] A rotor blade having the features of the preamble of claim 1 is disclosed in
EP-A-899425. A further rotor blade is disclosed in
EP-A-896127.
DISCLOSURE OF THE INVENTION
[0006] According to the present invention, a rotor blade is provided that includes a root
and a hollow airfoil. The hollow airfoil has a cavity, a leading edge, and a tip.
An internal passage configuration is disposed within the cavity that includes a first
radial passage, a second radial passage, and a rib disposed between the passages.
The passages and the rib are contiguous with a tip endwall. The first radial passage
is disposed contiguous with the leading edge. A plurality of crossover apertures are
disposed in the rib. One of the crossover apertures is disposed flush with the tip
endwall. A conduit is disposed within the root that is operable to permit airflow
through the root and into the passages. An aperture is disposed within the tip endwall
aligned with the first radial passage.
[0007] One of the advantages of the present rotor blade is that airflow stagnation regions
within the radial passages are decreased or eliminated adjacent the tip. Another advantage
is that the convective cooling of the tip endwall is improved relative to many prior
art internal passage configurations. The crossover aperture disposed flush with the
tip endwall permits cooling air to travel into the radial end of the leading edge
radial passage. As a result, undesirable stagnation regions 12a (see FIG. 7) typically
present in prior art dead-end radial passages 14a are eliminated. For the case where
the cavity supplying the coolant air to the flush crossover does not dead-end, but
feeds another cavity (e.g., axial extending cavity or aftward flowing serpentine),
the stagnation/recirculation region 16a (see FIG. 7) typical in prior art is also
eliminated. In addition, the cooling airflow through flush crossover aperture improves
convective cooling of the tip endwall. The airfoil tip is consequently able to accommodate
high temperature environments with greater resistance to oxidation, TMF, creep, and
erosion.
[0008] Additional advantages are provided in the present invention since an aperture is
disposed within the tip endwall aligned with the first radial passage, contiguous
with the leading edge, The aperture provides a cooling air path out of the first radial
passage, which facilitates the elimination of stagnation regions within the first
radial passage. The position of the aperture relative to the first radial passage,
leading edge, and tip also enables it to cool a region of the airfoil where cooling
has historically been problematic. The position of the aperture at the radial end
of the first radial passage also enables it to act as a debris purge. Debris that
is carried within the cooling air or dislodged from a surface within the airfoil will
be forced outward by centrifugal forces as the blade rotates. The aperture at the
radial end of the first radial passage is positioned to receive and pass debris outside
the airfoil.
[0009] These and other features and advantages of the present invention will become apparent
in light of the detailed description of some preferred embodiments thereof, as illustrated
in the accompanying drawings.
BRIEF DESCRIPTION OF THE DRAWINGS
[0010]
FIG. 1 is a diagrammatic perspective view of the rotor assembly section.
FIG. 2 is a diagrammatic sectional view of a rotor blade having an arrangement of
the internal passage configuration.
FIG. 3 is a diagrammatic sectional view of a rotor blade having an arrangement of
the internal passage configuration.
FIG. 4 is a diagrammatic sectional view of a rotor blade having an arrangement of
the internal passage configuration.
FIG. 5 is a diagrammatic sectional view of a rotor blade having an arrangement of
the internal passage configuration.
FIG. 6 is an enlarged diagrammatic sectional view of part of a rotor blade having
an embodiment of the internal passage configuration in accordance with the invention.
FIG. 7 is an enlarged diagrammatic sectional view of part of a prior art rotor blade.
DETAILED DESCRIPTION OF THE INVENTION
[0011] Referring to FIG, 1, a rotor blade assembly 10 for a gas turbine engine is provided
having a disk 12 and a plurality of rotor blades 14. The disk 12 includes a plurality
of recesses 16 circumferentially disposed around the disk 12 and a rotational centerline
18 about which the disk 12 may rotate. Each blade 14 includes a root 20, an airfoil
22, a platform 24, and a radial centerline 25. The root 20 includes a geometry (e.g.,
a fir tree configuration) that mates with that of one of the recesses 16 within the
disk 12. As can be seen in FIGS. 2 - 5, the root 20 further includes conduits 26 through
which cooling air may enter the root 20 and pass through into the airfoil 22.
[0012] Referring to FIGS. 1 - 5, the airfoil 22 includes a base 28, a tip 30, a leading
edge 32, a trailing edge 34, a pressure side wall 36 (see FIG. 1), and a suction side
wall 38 (see FIG. 1), and an internal passage configuration 40. FIGS. 2 - 5 diagrammatically
illustrate an airfoil 22 sectioned between the leading edge 32 and the trailing edge
34. The pressure side wall 36 and the suction side wall 38 extend between the base
28 and the tip 30 and meet at the leading edge 32 and the trailing edge 34.
[0013] The internal passage configuration 40 includes a first conduit 42, a second conduit
44, and a third conduit 46 extending through the root 20 into the airfoil 22. The
first conduit 42 is in fluid communication with one or more leading edge passages
48 ("LE passages") disposed adjacent the leading edge 32. The first conduit 42 provides
the primary path into these LE passages 48 for cooling air, and therefore the leading
edge 32 is primarily cooled by the cooling air that enters the airfoil 22 through
the first conduit 42.
[0014] Referring to FIG. 2, in a first arrangement of the one or more LE passages 48, the
first conduit 42 is in fluid communication with a single LE passage 50, and that passage
50 is contiguous with the leading edge 32. At the outer radial end of the LE passage
50 (i.e., the end of the LE passage 50 opposite the first conduit 42), the LE passage
50 is connected to an axially extending passage 52 ("AE passage") that extends between
the LE passage 50 and the trailing edge 34 of the airfoil 22, adjacent the tip 30
of the airfoil 22. As can be seen from PIG. 2, the cross-sectional area within the
transition between the passages 50,52 is approximately the same as or greater than
the adjacent regions of the passages 50,52. Hence, there is no flow impediment within
the transition that is attributable to a decrease in cross-sectional area. The LE
passage 50 is connected to the exterior of the airfoil 22 by a plurality of cooling
apertures 54 disposed along the leading edge 32.
[0015] Referring to FIG. 3, in a second arrangement of the one or more LE passages 48, the
first conduit 42 is in fluid communication with a first LE passage 56 and a second
LE passage 58. The first LE passage 56 is contiguous with the leading edge 32, and
the second LE passage 58 is immediately aft and adjacent the first LE passage 56,
The first LE passage 56 is connected to the exterior of the airfoil 22 by a plurality
of cooling apertures 54 disposed along the leading edge 32. In some embodiments, the
first LE passage 56 is also connected to the tip 30 or a tip pocket 60 by one or more
apertures 62. At the outer radial end of the second LE passage 58 (i.e., the end of
the second LE passage 58 opposite the first conduit 42), the second LE passage 58
is connected to an AE passage 52 that extends to the trailing edge 34 of the airfoil
22, adjacent the tip 30 of the airfoil 22. As can be seen from FIG. 3, the cross-sectional
area within the transition between the passages 58,52 is approximately the same as
or greater than the adjacent regions of the passages 58,52. Hence, there is no flow
impediment within the transition that is attributable to a decrease in cross-sectional
area.
[0016] Referring to FIG. 4, in a third arrangement of the one or more LE passages 48, the
first conduit 42 is in fluid communication with a first LE passage 64 and a second
LE passage 66. The first LE passage 64 is contiguous with the leading edge 32, and
the second LE passage 66 is immediately aft and adjacent the first LE passage 64.
The first LE passage 64 is connected to the exterior of the airfoil 22 by a plurality
of cooling apertures 54 disposed along the leading edge 32. At the outer radial end
of the first LE passage 64 (i.e., the end of the first LE passage 64 opposite the
first conduit 42), the first LE passage 64 is connected to an AE passage 52 that extends
to the trailing edge 34 of the airfoil 22, adjacent the tip 30 of the airfoil 22.
As can be seen from FIG. 4, the cross-sectional area within the transition between
the passages 64,52 is approximately the same as or greater than the adjacent regions
of the passages 64,52. Hence, there is no flow impediment within the transition that
is attributable to a decrease in cross-sectional area. The second LE passage 66 ends
radially below the AE passage 52. One or more apertures 68 disposed in the rib between
the AE passage 52 and the second LE passage 66 permits airflow therebetween.
[0017] Referring to FIG. 5, in a fourth arrangement of the one or more LE passages 48, the
first conduit 42 is in fluid communication with a single LE passage 70. One or more
cavities 72 are disposed forward of the LE passage 70, connected to the LE passage
70 by a plurality of crossover apertures 74. The one or more cavities 72 are contiguous
with the leading edge 32. The one or more cavities 72 are connected to the exterior
of the airfoil 22 by a plurality of cooling apertures 54 disposed along the leading
edge 32. In some embodiments, the cavity 72 (or the outer most radial cavity if more
than one cavity) is also connected to the tip 30 or a tip pocket 60 by one or more
apertures 76. At the outer radial end of the LE passage 70 (i.e., the end of the LE
passage 70 opposite the first conduit 42), the LE passage 70 is connected to an AE
passage 52 that extends to the trailing edge 34 of the airfoil 22, adjacent the tip
30 of the airfoil 22. As can be seen from FIG. 5, the cross-sectional area within
the transition between the passages 70,52 is approximately the same as or greater
than the adjacent regions of the passages 70,52. Hence, there is no flow impediment
within the transition that is attributable to a decrease in cross-sectional area,
[0018] Referring to FIG. 6, in a preferred embodiment of an internal passage configuration
like those shown in FIGS. 3 and 5, the internal passage configuration 40 includes
a first radial passage 92 (e.g., first LE passage 56 - FIG, 3; cavity 72 - FIG. 5),
a second radial passage 94 (e.g., second LE passage 58 - FIG. 3; LE passage 70 - FIG.
5), and a rib 96 disposed therebetween. The first radial passage 92, second radial
passage 94, and rib 96 are contiguous with a tip endwall 98. A plurality of crossover
apertures 74 are disposed in the rib 96, including a crossover aperture 100 that is
disposed flush with the tip endwall 98. As stated above, in some applications an aperture
62,76 is disposed in the radial end of the first radial passage. This preferred embodiment
of an internal passage configuration is not limited to the internal passage configurations
shown in FIGS. 3 and 5.
[0019] Referring to FIGS. 2 - 5, the second conduit 44 is in fluid communication with a
serpentine passage 78 disposed immediately aft of the LE passages, in the mid-body
region of the airfoil 22. The second conduit 44 provides the primary path into the
serpentine passage 78 for cooling air, and therefore the mid-body region is primarily
cooled by the cooling air that enters the airfoil 22 through the second conduit 44.
The serpentine passage 78 has an odd number of radial segments 80, which number is
greater than one; e.g., 3, 5, etc. The odd number of radial segments 80 ensures that
the last radial segment 82 in the serpentine 78 ends adjacent the AE passage 52. The
"last radial segment" is defined as the last possible segment within the serpentine
passage that can receive cooling air along the serpentine. The radial segments 80
are connected to one another by turns of approximately 180°; e.g., the first radial
segment is connected to the second radial segment by a 180° turn, the second radial
segment is connected to the third radial segment by a 180° turn, etc. The serpentine
passage 78 shown in FIGS. 2 - 5 is oriented so that the path through the serpentine
78 directs the cooling air forward; i.e., toward the leading edge 32 of the airfoil
22. In alternative embodiments, the serpentine 78 can also be oriented so that cooling
air is directed aft, toward the trailing edge 34 of the airfoil 22. In some embodiments,
a cooling air sink 84, typically in the form of one or more cooling apertures, is
disposed within the exterior wall (e.g., the suction side wall) of the last segment
82, sized to permit cooling airflow out of the airfoil 22. In a preferred embodiment,
the one or more cooling apertures are film holes. One or more apertures 85 extend
through the rib separating the last radial segment 82 and the AE passage, thereby
permitting fluid communication therebetween.
[0020] The third conduit 46 is in fluid communication with one or more passages 86 disposed
between the serpentine passage 78 and the trailing edge 34 of the airfoil 22. With
the exception of portion of the trailing edge 34 adjacent the tip 30 of the airfoil
22, the third conduit 46 provides the primary path for cooling air into the trailing
edge 34, and therefore the trailing edge 34 is primarily cooled by the cooling air
that enters the airfoil 22 through the third conduit 46. As stated above, the portion
of the trailing edge 34 adjacent the tip 30 of the airfoil 22 is cooled by cooling
air passing through the AE passage 52.
[0021] The AE passage 52 includes a tapered segment 88 adjacent the trailing edge 34 that
decrease in cross-sectional area. The rate of decrease in cross-sectional area is
chosen to cause the cooling airflow exiting the AE passage 52 to choke. The specific
rate of decrease in cross-sectional area is chosen to suit the application at hand.
[0022] In the arrangements shown in FIGS. 2 - 5, the transition between the LE passage(s)
and the AE passage 52 is approximately a ninety degree (90°) turn that has been optimized
to minimize pressure loss as cooling air travels between the LE passage(s) and the
AE passage 52. For example, the LE passage 50,58,64,70 increases in width as it approaches
the turn. As a result, the interior boundary 90 of the turn forms an angle that is
greater than 90°. The obtuse angle facilitates the cooling airflow therethrough, and
consequently causes a pressure loss which is less than would be in a similar channel
having a 90° turn.
[0023] All of the foresaid passages may include one or more cooling apertures and/or cooling
features (e.g., trip strips, pedestals, pin fns, etc.) to facilitate heat transfer
within the particular passage. The exact type(s) of cooling aperture and/or cooling
feature can vary depending on the application, and more than one type can be used.
The present invention can be used with a variety of different cooling aperture and
cooling feature types and is not, therefore, limited to any particular type.
[0024] Some embodiments further include a tip pocket 60 disposed radially outside of the
AE passage 52. The tip pocket 60 is open to the exterior of the airfoil 22. One or
more apertures extend through a wall portion of the airfoil 22 disposed between the
tip pocket 60 and the LE passage and/or the AE passage 52.
[0025] The above-described rotor blade 14 can be manufactured using a casting process that
utilizes a ceramic core to form the cooling passages within the airfoil 22. The ceramic
core is advantageous in that it is possible to create very small details within the
passages; e.g., cooling apertures, trip strips, etc. A person of skill in the art
will recognize, however, that the brittleness of a ceramic core makes it is difficult
to use. The above-described rotor blade internal passage configurations 40 facilitate
the casting process by including features that increase the durability of the ceramic
core. For example, the first and second LE passage embodiments permit the use of a
rod extending from the tip pocket 60, through the AE passage 52, and into the serpentine
passage 78. The rod supports: 1) the core portion that forms the tip pocket 60; 2)
the core portion that forms the AE passage 52; and 3) the core portion that forms
the serpentine passage 78. The rod is removed at the same time the ceramic core is
removed, leaving apertures between the tip pocket 60 and the AE passage 52, and between
the AE passage 52 and the serpentine passage 78. Core-ties can also be used between
core portions.
[0026] Another feature of the present internal passage configurations that increases the
durability of the ceramic core is the AE passage 52 adjacent the tip 30 of the airfoil
22. The extension of the passage 52 to the trailing edge 34 enables the passage 52
and the trailing edge 34 core portion to be tied together by a stringer that is disposed
outside the exterior of the airfoil 22. The core portions representing internal cooling
passages (e.g., one of more segments of the serpentine passage 78) may also be supported
by the AE passage 52 via rods or core-ties.
[0027] In the operation of the invention, the airfoil 22 portion of the rotor blade 14 is
disposed within the core gas path of the turbine engine. The airfoil 22 is subject
to high temperature core gas passing by the airfoil 22. Cooling air, that is substantially
lower in temperature than the core gas, is fed into the airfoil 22 through the conduits
42,44,46 disposed in the root 20.
[0028] Cooling air traveling through the first conduit 42 passes directly into the one or
more LE passages 48 disposed adjacent the leading edge 32, and subsequently into the
AE passage 52 adjacent the tip 30 of the airfoil 22. The relatively large and unobstructed
LE passages 48 permit a volume rate of flow that provides a desirable amount of cooling
to the leading edge 32, and yet still has sufficient heat transfer capacity to adequately
cool other regions of the airfoil 22; e.g., the tip 30 and a portion of the serpentine
passage 78. The first conduit 42 provides the primary path into these LE passages
48 for cooling air, although the exact path depends upon the particular LE passage
48 embodiment.
[0029] Cooling air traveling through the first conduit 42 into the first arrangement of
the one or more LE passages 48 incurs relatively low pressure losses, and will enter
the AE passage 52 at a relatively high pressure and velocity. Because the first embodiment
of the one or more LE passages 48 is a single passage 50 contiguous with the leading
edge 32, the cooling air is subject to heat transfer from the leading edge 32, the
pressure side wall 36, and the suction side wall 38. In this embodiment, the AE passage
52 extends across the entire chord of the airfoil 22.
[0030] Cooling air traveling through the first conduit 42 into the second arrangement of
the one or more LE passages 48 is divided between the first LE passage 56 and the
second LE passage 58. The cooling air entering the first LE passage 56 travels contiguous
with the leading edge 32, and is subject to heat transfer from the leading edge 32,
the pressure side wall 36, and the suction side wall 38. The cooling air traveling
within the first LE passage 56 exits via cooling apertures 54 disposed along the radial
length of the leading edge 32, and through one or more cooling apertures 62 disposed
between the radial end of the passage 56 and the tip 30 (or tip pocket 60). The apertures
62 disposed at the radial end prevent cooling airflow stagnation within the first
LE passage 56. Cooling air traveling within the second LE passage 58 incurs relatively
low pressure losses, and will enter the AE passage 52 at a relatively high pressure
and velocity. Because the second LE passage 58 is aft of the first LE passage 56 (and
therefore the leading edge 32), the cooling air traveling through the second LE passage
58 is subject to less heat transfer from the leading edge 32. As a result, the cooling
air reaches the AE passage 52 typically at a lower temperature than it would be if
it were in contact with the leading edge 32. In this embodiment, the AE passage 52
extends across nearly the entire chord of the airfoil 22.
[0031] Cooling air traveling through the first conduit 42 into the third arrangement of
the one or more LE passages 48 is divided between the first LE passage 64 and the
second LE passage 66. The cooling air entering the first LE passage 64 incurs relatively
low pressure losses, and will enter the AE passage 52 at a relatively high pressure
and velocity. The cooling air entering the second LE passage 66 will likewise flow
substantially unobstructed until the radial end is reached. Cooling air can exit the
second LE passage 66 through one or more cooling apertures 68 disposed in the rib
separating the second LE passage 66 and the AE passage 52, or through cooling apertures
disposed within the walls of the airfoil 22. The apertures 68 disposed at the radial
end prevent cooling airflow stagnation within the second LE passage 66. In this embodiment,
the AE passage 52 extends across the entire chord of the airfoil 22.
[0032] Cooling air traveling through the first conduit 42 into the fourth arrangement of
the one or more LE passages 48 incurs relatively low pressure losses, and will enter
the AE passage 52 at a relatively high pressure and velocity. A portion of the cooling
air traveling within the LE passage 48 enters the cavity(ies) 72 disposed between
the LE passage 70 and the leading edge 32. The cooling air traveling within the cavity
72 exits via cooling apertures 54 disposed along the radial length of the leading
edge 32, and through one or more cooling apertures 76 disposed between the radial
end of the cavity 72 and the tip 30 (or tip pocket 60). The apertures 76 disposed
at the radial end prevent cooling airflow stagnation within the cavity 72. Because
the LE passage 70 is aft of cavity(ies) 72 (and therefore the leading edge 32), the
cooling air traveling through the LE passage 70 is subject to less heat transfer from
the leading edge 32. As a result, the cooling air reaches the AE passage 52 typically
at a lower temperature than it would be if it were in contact with the leading edge
32.
[0033] In the preferred embodiment of the internal passage configuration shown in FIG. 6,
a portion of the cooling air traveling within the second radial passage 94 (e.g.,
second LE passage 58 - FIG. 3; LE passage 70 - FIG. 5) exits the second radial passage
94 and enters the first radial passage 92 (e.g., first LE passage 56 - FIG. 3; cavity
72 - FIG. 5) via the crossover apertures 74 disposed in the rib 96. Cooling air traveling
through the flush-mounted crossover aperture 100 passes along the surface of the tip
endwall 98, providing desirable convective cooling. The cooling air entering the first
radial passage 92 through the flush-mounted crossover aperture 100 helps to eliminate
a stagnation/recirculation zone within the first radial passage 92 adjacent the tip
endwall 98 (see flow 12a, FIG. 7) and within the second radial passage 94 adjacent
the tip endwall 98 (see flow 16a, FIC. 7). In those applications wherein an aperture
62,76 is disposed in the radial end of the first radial passage 92, cooling air exiting
via the aperture 62, 76 also facilitates the elimination of undesirable stagnation/recirculation
zones within the first radial passage 92; and the aperture 62, 76 reduces the risk
of plugging the region of the passage adjacent to the tip endwall 98 by providing
foreign particles (e.g., dirt) a path through which to exit the airfoil. Additionally,
these applications increase local heat transfer adjacent the leading edge portion
102 adjacent the tip 30 typically prone to distress (e.g., oxidation) in prior art.
[0034] In all of the above arrangements, a portion of the cooling air passing through the
AE passage 52 typically exits the AE passage 52 via cooling apertures; e.g., the cooling
apertures extending between the tip 30 and/or tip cavity and the AE passages 52. An
advantage provided by the present internal passage configuration, and in particular
by the AE passage 52 extending the length or nearly the length of the chord, is that
manufacturability of the airfoil 22 is increased since cooling apertures can be drilled
through the tip 30 without interference from ribs separating radial segments.
[0035] Cooling air traveling through the second conduit 44 enters the serpentine passage
78 at P
1. The cooling air passes through each radial segment 80 and 180° turn. A portion of
the cooling air that enters the passage 78, exits the passage 78 via cooling apertures
disposed in the walls of the airfoil 22. The remainder of the cooling air that enters
the serpentine passage 78 will enter the last radial segment 82 of the passage 78.
With the present internal passage configurations, the cooling air that reaches the
last radial segment 82 will typically be at a pressure P
3 that is lower than the pressure P
2 of the cooling air in the adjacent region of the AE passage 52 (e.g., because of
head losses incurred within the serpentine passage 78), wherein P
1 > P
2 >P
3. In those instances, cooling air will enter the last radial segment 82 from the AE
passage 52 via the one or more apertures 85 extending between the last radial segment
82 and the AE passage 52 (P
2 > P
3). To accommodate the inflow from the AE passage 52, a cooling air sink 84 (e.g.,
film holes) is disposed within the exterior wall of the last segment (e.g., the suction
side wall 38), sized to permit cooling airflow out of the airfoil 22. The cooling
air sink 84 prevents undesirable flow stagnation within the last radial segment 82
of the serpentine passage 78. The two opposing flows of cooling air within the serpentine
passage 78 will come to rest at a location where the static pressure of each flow
equals that of the other. Preferably, the cooling air sink 84 is positioned adjacent
that rest location. The pressure P
1 of the cooling air entering the serpentine passage 78 prevents the AE passage 52
inflow from traveling completely through the serpentine passage 78 (P
1 > P
2).
[0036] Cooling air traveling through the third conduit 46 enters one or more passage(s)
86 disposed between the serpentine passage 78 and the trailing edge 34. All of the
cooling air that enters these passages exits via cooling apertures disposed in the
walls of the airfoil 22 or along the trailing edge 34.
[0037] Although this invention has been shown and described with respect to the detailed
embodiments thereof, it will be understood by those skilled in the art that various
changes in form and detail thereof may be made without departing from the scope of
the invention.