Embed Size (px)
Citation preview
UNCLASSIFIED
AD NUMBER
ADB069402
NEW LIMITATION CHANGE
TOApproved for public release, distributionunlimited
FROMDistribution authorized to U.S. Gov't.agencies only; Critical Technology; Testand Evaluation; FEB 1982. Other requestsshall be referred to Air Force AeroPropulsion Laboratory [AFWAL/POTX],Wright-Patterson AFB, OH 45433.
AUTHORITY
27 Jun 1990, ST-A per WRDC-IST notice
THIS PAGE IS UNCLASSIFIED
AFWAL-TR- 82-2017
TRANSONIC FAN/COMPRESSORROTOR DESIGN STUDY
Volume II
D.E. Parker and M.R. SimonsonGeneral Electric Company
/ Aircraft Engine Business GroupAdvanced Technology Programs Dept.Cincinnati, Ohio 45215
February 1982
Final Report for Period September 1980 - February 1982
SUBJECT TO EXPORT CONTROL LAWSThis document contains information for manufacturing or r.:ng mu.nitions of war. Export of the information contained herein, or releaseto foreign nationals within the United States, without first obtainingan export license, is a violation of the International Traffic.in.ArmsRegulations. Such violation is subject to a penalty of up to 2 years im.prisonment and a fine of $100,000 under 22 USC 2778.Include this notice with any reproduced portion of this document.
Distribution limited to U.S. Government agencies only: Test V.and Evaluation, February 12. Other requests for this docu-nent must be referred to Air Force Aero Propulsion Llbomatory .
(AFWAL/POTX), Wright-Patterson APS, ON4 454-14 192 "1
. Aero Propulsion Laboratory AAir Force Wright Aeronautical LaboratoriesAir Force System Command o (D 6
S Wright-Patterson Air Force Base, Ohio 45433
NOTICE
When Government drawings, specifications, or other data are used for anypurpose other than in conjunction with a definitely related Government procure-ment operation, the United States Government thereby incurs no responsibilitynor any obligation whatsoever; and the fact that the Government may have formu-
* lated, furnished, or in any way supplied the said drawings, specifications, orother data, is not to be regarded by implication or otherwise as in any mannerlicensing the holder or any other persons or corporation, or conveying anyrights or permission to manufacture, use, or sell any patented invention thatmay in any way be related thereto.
This technical report has been reviewed and is approved for publication.
ARTHUR J. WENNERSTROM WALKER H. MITCHELLChief, Compressor Research Group Chief, Technology Branch
FOR THE COMMANDER
H. IVAN BUSHDirector, Turbine Engine Division
.
If your address has changed, if you wish to be removed from our mailing list,or if the addressee is no longer employed by your organization, please notify
AFWAL/POTX, WPAFB OH 45433 to help us maintain a current mailing list.
*Copies of this report should not be returned unless return is required bysecurity considerations, contractual obligations, or notice on a spec 4ficdocument.
UnclassifiedSECURITY CLAS1IFICATION O THIS PAGE (*'hen Date Entered)REPORT DOCU~IENTATION PAGE "READ INSTRUCTIONS
BEFORE COMPLETING FORM1. REPORT NUMBER 2. GOVT ACCESSION NO. 3 RECIPIENT'S CATALOG NUMBER
AFWAL-TR-82-2017- IN) 406 7 O
4. TITLE (and Subtitle) 5. TYPE OF REPORT A PERIOD COVERED
Transonic Fan/Compressor Rotor Design Study Final Technical Re. qrt
Volume II September 1980 - July 19826. PERFORMING ORG. REPORT NUMBER
R82AEB328,- Volume -K-7. AUTHOR(q) I. CONTRACT OR GRANT NUMBER(s)
D.E. Parker F33615-80-C-2059M.R. Simonson
S. PERFORMING ORGANIZATiON NAME AND ADDRESS 10. PROGRAM FLEMENT PROJECT, TASK
General Electric Company AREA & WORK UNIT NUMBERS
Aircraft Engine Business Group Project 2307
Cincinnati, Ohio 45215 Task Si________________ Work Unit 38
II. CONTROLLING OFFICE NAME AND ADDRESS 12. RepoR UTEAero Propulsion Laboratory (ANVAL/POT) tVbep_ 1982Air Force Wright Aeronautical Laboratories 3. UMSEROF-PAGESAir Force System CommandWright-Patterson Air Force Base. Ohio 45433 il
14. MONITORING AGENCY NAME & ADDRESS(Il dillerent from Caotrollinl Ofi1ce) IS. SECURITY CLASS. (ol this report)
Unclassified
I5a. DLCLASSIFICATION/DOWNA.RA DNGSCHEDULE
IS. DISTRIBUTION STATEMENT (of this Repor)
Distribution limited to U.S. Government agencies only: Test and Evaluation,
SI f5. Other requests for this document must be referred to AirForce Aero Propulsion Laboratory (AFWAL/POTX), Wright-Patterson AFB,OH 45433.
17. DISTRIBUTION STATEMENT (t the abstraect entered In Block 20, It dliferent from Report)
IS. SUPPLEMENTARY NOTES
IS. KEY WORDS (Continue on tevere 0d It necessary and Identity by block number)
Fan Aircraft EnginesCompressor Blade ThicknessRotor Camber DistributionAerodesign Throat MarginAerodynamics
20. 1ABSRACT (Conlnue an ewer@* aide It necesery and Ident tf by block number)
" zVolumes I through VI of this report describes the aerodynamic designof a series of five transonic rotors all parametrically related to abaseline design documented in Technical Report AFAPL-TR-79-2078. Each ofthe five designs deviate from the base line, in so far as practical, by
a variation of one parameter only. The parametric variations are specified
at the rotor tip.- The original hub characteristics were preserved to the
maximum extent practical. The varied parameter was adjusted long the span.
DD 1 F 1473 EDITION Or I NOV 65 IS OBSOLETE Unclassified
o SECURITY CLASSIFICATION OF THIS PAGE (Nhen Date Entered)
,/Unclassified
SECURITY CLASSIFICATION OF THIS PAGEtMien Date Entered)
This volume describes the aerodynamic design details of the Phase I
Rotor. The Phase I rotor has the tip airfoil maximum thickness located
at 40% of meanline length as compared with 70% for the baseline rotor.
The location of maximum thickness varied line.irly with radius to 56% of
meanline length at the hub, which is the same as the baseline rotor.
71..4
Unclassified
SECURITY CLASSIFICATION OF THIS PAGE(U'hen Date Entered)
VOLUME II
PHASE i ROTOR DESIGN
j FOREWORD
This Final Technical Report was prepared by the Advanced TechnologyPrograms Department, Aircraft Engine Business Group, General Electric Company,Evendale , Ohio for the'United States Air Force Systems Command, Air ForceWright Aeronautical Laboratories Wright-Patterson Air Force Base, Ohio underContract F33615-80-C-2059. The work was performed over a period ofone year starting in September 1980. Effren Strain (Captain USAF) was theAir Force Project Engineer for this program.
This report describes the results of an effort to aerodynamically definefive rotor designs, all parametrically related to a base line design which
could be evaluated by future testing in order to define the sensitivity1i of transonic blade rows to several design variables.
-For the General Electric Company Mr. D.E. Parker was the TechnicalProgram Manager for this program. Mr. M.R. Simonson was the principalinvestigator. Mr. A.J. Bilhardt was the overall Program Manager.
./V.
"ii
9.i
-,, VOLUME II
TABLE OF CONTENTS
SECTION PAGE
VII. DESIGN OF PHASE I ROTOR 1
1. Introduction 1
2. Design Procedure 1
VIII. DETAILS OF PHASE I ROTOR DESIGN 12
1. Circumferential Average Flow Solution 12
2. Streamsurface Blade Coordinates 42
3. Plane Section Blade Coordinates 51
IX . REFERENCES 111
VOLUME II
- - LiST OF ItUSTRATIONS
FIGURE PAGE
19. Comparison of Phase I Rotor Hub C~itour toBaseline Rotor Hub Contour 3
20. Phase I Rotor Static Pressure Distribution 5
21. Phase I Rotor Intrablade Work Distribution6
22. Phase I Rotor Incidence Angle Versus FractionalImersion 7
23. Phase I Rotor Deviation Angle Versus FractionalImmersion 7
24. Phase I Rotor Intrablade Departure AngleDistribution 8
25. Phase I Rotor Streamaurface Tip Section Comparedwith Baseline Design 9
26. Phase I Rotor Deviation Angle Minus ReferenceDeviation Angle Compared with Data Match 10
27. Phase I Stator Incidence Angle Compared withData Match 10
28. Phase I Rotor Throat Margin Compared with 11Data Match
29. Compressor Flowpath with Calculati.on Stations 13
30. -:acked Phase I Rotor Streamsurfes Sections 43
31. Stacked Phase I Rotor Plane Sections 57
, v4
Vi
LIST OF SYMBOLS AND ABBREVIATIONS
1. Used in Circumferential Average Flow Output Tables
STA calculation station number
WTZ total airflow
PSIC stream function (0 - tip (OD), 1 - hub (ID))
axial locatioi- inches
R radius inches
PHI streamline slope degrees
CURV streamline curvature .- neg.--,- pos. 1/inches
VM meridional velocity ft/sec
CU absolute tangential velocity ft/secALPHAM absolute flow angle on stream surface degrees
M! meridional Mach number
SL calculation streamline number
BLDBLK flow blockage factor Pree area - blocked areffree area
PS static pressure psia
PT total pressure psia
TT total temperature degrees
BETAM relative flow angle on stream surface degrees
UREL relative velocity ft/sec
MREL relative Mach number
VABS absolute velocity ft/sec
MABS absolute Mach number
GAMIA specific heat ratio
PT-RAT total pressure/inlet total pressure
TT-RAT total temperature/inlet total temperature
RCU radius x tangential velocity in-ft/sec
Ca axial velocity ft/sec
PCT DM percent annulus immersion from tip (OD)
RAD average of leading and trailing edge inchesstreamline radii
ACC PTRATIO cumulative total pressure ratio
ACC TTRATIO ctulative total temperature ratio
vii
'1
LIST OF SYMBOLS AND ABBREVIATIONS
1. Used in Circumferential Average Flow Output Tables (Cont'd)
AD. adiabatic efficiency
POLY polytropic efficiency
Axial axial valocity ratio across blade row,VEL R
2. Used in Stream Surface Blade Coordinate Tables
PT point number
PCT X fraction of meridional distance from leading edge
X meridional coordinate on meanline inches
Y tangential coordinate on meanline inches
B*M meanline angle on stream surface degrees
T(M) thickness of blade perpendicular to meanline inchesXS meridional coordinate on suction surface inches
YS tangential coordinate on suction surface inches
XP meridional coordinate on pressure surface inches
YP tangential coordinate on pressure surface inches
3. Used in Plane Section Coordinate Tables
axial coordinate of stacking axis inches
R radius of coordinate system origin inches
MU tilt angle in axial direction degrees
ETA tilt angle in tangential direction degrees
RHO section height inches
PT point number
ALPHA axial coordinate inches
BETA* meanline angle from axial degrees
UPSILON coordinate perpendicular to ALPHA and radius inches
PCT AL fraction of axial distance from leading edge
T/C local thickness/chord ratio
viii
SECTION VII
DESIGN OF PHASE I ROTOR
1. INTRODUCTION
The specification of the chordwise location of airfoil maximum thickness
of the transonic/compressor rotors has often been defined more on the basis
of historical practice than on a knowledge of its aerodynamic effect. Research
by NASA in the 1950's generally indicated that as relative inlet Mach numbers
rose, it was desirable to move the location of maximum thickness aft on an
airfoil.
The early work, however, was done with airfoils having significant positive
camber. Today, many airfoils have little overall relative turning in the tip
region, and frequently have S-shaped meanlines: negative camber followed by
some positive camber. In some cases, a forward shift in maximum airfoil thick-
nC3s may help achieve the desired airfoil suction surface shape, with a less
S-shaped meanline. There is also incentive to move the maximum thickness
forward to make the blade more capable of withstanding a bird strike without
excessive damage.
To get more definitive aerodynamic data on the effect of the location of
airfoil maximum thickness, the Phase I blade has been designed with the maximum
thickness located at 40% and the Phase II blade with maximum thickness at
55%, compared with the baseline rotor which has its tip maximum thickness at
70% of meanline length.
2. DESIGN PROCEDURE
The "data match" circumferential average flow solution, which was
previously described in Vol. I, was used as a starting point for the design
of the Phase I rotor. The annulus blockage used in the internal blade
calculation stations was adjusted to be consistent with the forward shift of
the airfoil maximum thickness. The assumed chordwise distribution of work
was iteratively adjusted to obtain a calculated chordwise distribution of
static pressure similar to that of the data match calculations of the baseline
rotor. Also the blade meanline departure angles (the difference between the
air angle and the meanline angle) were adjusted to maintain the same throat
area and flow induction capacity as the baseline blade. To adjust for the
increased blade blockage in the forward half of the blade, and to better
match the data match static pressure distribution in the hub, the hub contour
internally within the rotor was modified slightly relative to the baseline
rotor. The two hub contours are compared in Figure 19.
After each modification to the chordwise work distribution and/or
departure angles, revised blade annulus blockage and blade lean angles were
calculated and input to the circumferential Average Flow Determination (CAFD)
computer program for the next iteration.
The rotor exit radial distribution of total pressure and temperature was
maintained the same as the data match of the baseline rotol.
The resulting streamline static pressure distribution for the Phase I blade
is compared with the data match of the baseline rotor on Figure 20.
The assumed streamline work input (as a fraction of the total streamline
work) is plotted versus percent axial projection in Figure 21. The tip stream-
line is the one on the left. Each subsequent streamline is indexed to the right
by the value of its stream function (fraction of the total flow from the tip).
The dashed lines are lines of constant percent axial projection.
A method of characteristics computer program was used to analyze the flow
in the cascade flow induction region for streamlines 3 and 6 to assure that
the rotor would achieve the design flow. For other streamlines, the difference
between the suction surface angle and the "free flow" streamline angle was com-
pared with similar data from the data match calculations of the baseline rotor.
This then, was used as a guide in setting the suction surface angle in the flow
induction region.
To satisfy the same flow induction capacity as the baseline blade, it was
required to use larger meanline incidence angles as a result of the largerblade leading edge wedge angle resulting from the foryfard location of maximum
thickness, Phase I blade incidence angles are shown on Figure 22.
A modified version of Carter's Rule was used to calculate a reference
deviation angle for the baseline rotor. This procedure converts the vector
diagrams (from the data match calculations) to an equivalent two-dimensional
.2.......4.. ..
.. ... .. .. .. ...... . .... . ......
.. ........ ...... ... .... .. ...
HIS I
Z-1
-10 -9 -8 - 6-
AXIAL COORDINATE, IN.
Figure 19. Comparison of Phase I Rotor Hub Contour to BaselineRotor Hub Contour
3
set of Vectors which would produce the same circulation as the actual blade
taking into account the change in streamline radius and meridional velocity.
'The difference between the deviation angle implied by the data match calculations
and the reference deviation angle was then added to the reference deviation
,angle calculated from the modified Carter's Rule for the Phase I blade.
Phase I Rotor deviation angles are shown on Figure 23. A plot of departure
angles for each streamsurface section is shown in Figure 24. Once the intra-
blade work distribution was chosen these departure angles were required to
satisfy the desired incidence angles, deviation angles, and passage area ratios.
The resulting streamsurface tip section of the Phase I rotor is compared to
that of the baseline rotor in Figure 25. The "deviation angle minus reference
deviation angle" for the Phase I rotor wes kept essentially the same as the data
match analysis although there are some small differences. Figure 26 shows the
"delta deviation" compared to the data match of the baseline design.
If the performance of a new rotor design is to be accurately evaluated
by comparing overall stage performance with the baseline design then it is
important that the stator have nearly the same entering conditions in both
cases. Figure 27 shows a comparison of the Phase I stator incidence angles
with the data match base. As can be seen the differences are small.
Figure 28 shows the radial distribution of Phase I rotor throat margin
and compares it to the data match case. The throat margin for a streamsurface
blade section is defined here as the percent of excess throat area over and
above the minimum theoretical area required to pass the streamtube flow at a
throat Mach number of 1.0 and assuming a total pressure loss equivalent to a
normal shock at the upstream Mach number. In a rotor the effect of radius change
(between the leading edge and throat) on the relative total enthalpy and pressure
is included. As can be seen in Figure 27 the Phase I rotor throat margin is
nearly identical to that of the data match of the baseline design.
Details of the Phase I rotor design are given in Section VIII.
4
IS L
PHI I
...... .. . ... . ...................... ... ....... . . . ...
If I
Iti
... ..... ... .... ,. .. .....
.. .. ... .. . . . ........ .... .. .
....... .D ... ...~ca.
.....-..... ....... . ..
.0. -4. . . 04 06 06 0. . .
Fiue2.Phs oo Sai PrsueDsrbto
.4Z
0'-E-1
~~WjT77f11Tu
Ln
-- -~ ~ Li1j 11
441 ii I~A ~,
.-----.-...-
0' ~191AHO 7.IJla oioa
III
2 1-4
... . ...... . . ..
za
6 8 9 10 11
INCIDENCE ANGLE, DEGREES
Figure 22. Phase I Rotor Incidence AngleVersus Fractional Immersion
°2
a al~
I...0 CC.
II a*.1 H
-- 0 5 10 15 20 25
DEVIATION ANGLE, DEGREES
Figure 23. Phase I Rotor Deviation AngleVersus Fractional Immersion
!
7
I .
00
J . . .... . . . 0
4 ..... .. ..... ......
4 1 4
I . .... ......
414
4~14
.0
4414
4,. ..........
04 1' ' tiSO90VO80601
NOIIzfocl ivix aoNOI~*u
4 ~ 4 48
LEADING EDGE
ASE INE > ROTATION "
Figure 25 Phase I Rotor Streamsurface Tip Section
Compared With Baseline Design
0 -H PHSE I
...........................................
O ~ C ......... '.... . . . . . ......
O DATA MATCH
-. S 2 , AS 3.5 4 4.5
DELTA DEVIATION., DEGREES
Figure 26 Phase I Rotor Deviation Angle MinusReference Deviation Angle ComparedWith Data Match
... .... .. .... ......
0 ,
PHASE I DAT
Oso kTC.. . .................... .. .... . . ..
H PHASE I t .. , T''m"'-'-r ~HAA
-1 0 2 2 3 4 5
INCIDENCE ANGLE, DEGREES
Figure 27 Phase I Stator Zncidence AngleCompared With Data Match
10
-rj-----PHASE I
-- O---.- DATA MATCH
_ , ~~~~ ......... ........................... ........ .. .........I . •
.............. ....... .........
......... . ............ .... .... .... .. ... ............ ...... ..... ...... .... ... ... ..... ....... ...
4 6 8 10 12 14 16
THROAT MARGIN, PERCENT
Figure 28. Phase I Rotor Throat MarginCompared With Data Match
',
11
SECTION VIII
DETAILS OF PHASE I ROTOR DESIGN
1. CIRCUMFERENTIAL AVERAGE FLOW SOLUTION
The following tabulation presents the detail results of the Phase I Rotor
circumferential average flow computation. Each page of the tabulation gives
results for one calculation station. Figure 29 shows the calculation station
locations within the gas flowpath. At each calculation station various aero-
dynamic parameters are given on each of thirteen calculation streamlines. Also
given are several mass averaged station flow properties. The Phase I rotor
blade forces are included at the end of this tabulation.
12
>41
4 44
-to
cn
100
.. .. .. . ........ .....
CA Lm-Cd
-4-4
"4*
........
.... .m~i cot n
2~*N S.1-..m
I1
-Lo
0000000000
W04
Ix . .~o . - c . u0.0000000000000 0 00i M
0j 0-e e c r.m0r t .01
304 4- ------- 000 t
1' z W 0 0
0 - ---- -
'.Mo. Mn t- 0w OO VS - M'---m - 4 II
0..Z('0 _t' > )W C4 t O0 0n
LL a-i ZW M 0 W 05)aaa 0 t %rr. o(f
' 0 Cui- 0 o.
* we
*fIf
-. 1 -0i00 0 00 0 It Oe- ---
14
M1 010W1W j
c;
W 0~-WD U 'Ow vfl v0 t r
00 --- --- 0000a6~tf 4q w C f I x )
K .Oww~vV_ ooWdddd 00000000006g000 -
C,4 -nZ0 9) an vv v m a
11W mm 4 0~4 4N - t ; N 4 LI**.*9L*. -00r- M nqe N4vt w 9-
4 ZO00008000000 WOOY1V~C
11 0 0~ewD-- 0 Wm -0 mm -
IL . . . . .. .W4
If ONOOM NNCDWO qe1§t- WI'm
0 Q-WWflqCN0ovm -- ~--- - -- It'
4nowtor-o WM C)WNCON oI.0 ;O0OMWW- rm~- aD .fV.C). . .r .. I.-lIau~0 r0-0 00 0 0 Owo-o N 40 ( ammriC n(
N. -
W 0000000000000 4 W§W It .... wr Wm0 : .c*q U. 000000666666WSW Vfl4
~ @-~'fl~-Wnc.r-0 Ilnmmmamlanmnl15I
~ N :ww6660000a In.
w j
0) . 4 VJ~m co - n CNI O 1-
Cl z004 itmnmmw~c a.
tL4O 0rt U) ID C1 -ooo q N Vco in00 000 0t WM4wO-pll
r=L r-Il00C0l ID-' I
0 40 40 In in W) In in V it IN) 0. 1 .N
i- .1 a 0 Ni 0 OrO 0- 0. . .. . . . . wa O
mw wwwwwwqwqv -44= 00 0 0.o
(t% meL In.qc . m vw 0cloa; qt 'f (O0 0 0 0-0 N- - -- - -
C!O~ C!.) iI- r% v'Cl r-O 0 mw0v- m i-.>
.a.. . . 4.0---------- 000 0 ~ In --- -ww ww w w (
z .-
16
W4)Q oO n4
in 0- o n c0 w r- f 0m (D to w ry P4 ), l- r 000 If) -le4 00. 00 inW Oglqalt'Ia m'C
*w 0000000000000000OOO0w
M.0000000000000 . . . . . . . 11 i000 00 AO
0 uj 0
1' 4-4 Ato ~~mawr-(MOMwNr'm-( -K
-J , * . 4 IUm~two-mmo -O wt-"8i I O 'N)0 O M' Wil
0 0 a Inm00I1-
39 . 4 OD o v O 0 n mf%0
d( no0 coo 0 .00--- wOr-
>W-t -Lu, 6666 6606 666 o 9 'fli
v-I is~O ;-
IL.c 0 14 N OD M MN N - -- -- - - -- - --
N 0 0 w t in0 w~~I 0i t- I0w)ananc4'as 40-----'- 0
aNV------ 00000 --- -- --
0S~OOO~oOO0O O0000000000 g
a- 0n o-~~~n 0000vW W1 c 0 b-
-J U. 000000000000- ('A N--v-- w
17
Do- Ifl0 t 101 CA0 40 V)-00 (D~
*0 0000000000 0000000060000;
U. 4 0 S0 -C)04 ' II NW in IV '4- Q o 10~0 M KI
*t-0000000000000 wo 100 00 49
004i Irs
* 0 C2WU1 r=0- 0 004to0 *. .. . .. . ~r 40 0
0-
W 6 6 0O 6''IO I C4 .
o~i SI''' WO~' WO1--tf Om
m 00000080000- 04
I.-W 44)
01 0 0:0 m o m mCC N f, C40O4I, P 1 (DIn0 z
4- . . . . .044.044.04004400 u
'-. "No- M0O4O -- -- -O 0
4~C 04 C4 *
40 10 40 40 10 a0 WD0 la AD40 40-
C . 0000000000
V 18
04 1
*to
- - -ma - - - -- 000 a0 a iC
0 > WWWOVONDUwt-W Do004%t - ,W -MM -MVI '0o6 tI %I r %r % 00i I I
Wooooooo a~o)I~. 'o-
I*I - 01 0 - W~X~C'~4OVWOlIDwd~wwtm ~ 40
06l"I r) rI D co m Cat..0 n0W ) 7I q j o
K m08000000800 wmcr1
>. N.666-:CC;Wt4 A u
9L I V oc0oo
It-in It1Otox c ia r n, iw)w 4mK I-vD 1-0 00-1 r n oo
I'~l' m.....................iDIM
to 0) 0;4 ,0*0c 0 ; 0 (~ ' y
M00000000000
wo"01)0 0088880
I- 1/ 0-"MVlw~fIr-00110b-
z
19
V)MI ): Vfl 5I nC
M3VI ,VVi -1 )CV 4 .0 t
.40 0C 0r nC I n- t 1 ,t -t -r D( )V t
C4 N6 CN CN O4US
00.000
00: '0
f.. . OX
in Ix 0 * I-jI
>WUS4Oimo-IoD 0.4'
v ww~ww r-tsnsommw XMIs M e'scs--wmscr-mo am..
o 0. vi-5oo 84N'sosIMIM-- wj > - N- *- 0vw~ KW 00-Ms SN080 ow~mmU~ a-A n Mo 000 - woOS
> v
0w 00000000000 04>. V Dw t, M v 0 N fN ID mo-s-rrI- r 2 Z
4. *1- ,. usii- . x 0 0' 044- V;mmmmmm I
OnK Inv!o 0
-0 o V M N t-soc5w 0- - - 0o OlC04D a c~vh0c4w
I OWSWWW-0-O-wa I-u0. 00iii-0scves' U)s
-~~~~~C S4 W4( -iqt3- a.................-. (O~c10504SaS(0qe'd OS00OS@*200.C*'
II
U.w 0000000000 0000000000000.4
0: W4 -to 88wVC c4 -
2 : .0 . me in 0 ~40 cWo 00r- 0- fOW
04It 11 01O#00 "Onw tVM~ wwwv w0~mv0cm
04 *~mimmwe~N000 0
'If0~wr f -of
- - - - - - - - - - oxLfcc-t-11 wwwom mom 4040 CLD 0..1w E-~0W-tew0 IL0i"
30. 1W~ t
.jit--g m-wmwwri"mwU v-om 404 00000 0 0 wOrn)
41~
oo o N0e00000wwwOO00mwnmfl04 0N
"t0. 0. 1 0 0 0- a~ ~ U
4''0. ~CC4 N~ 0NM : w r8W
N IS0'In 0 0 - -- -- - -- - --- - OD
1 it
9L 0~0O t " 0. w * I-wM~wamwNoeiVieN 000O000000--- In
m MVVVVMN;-owwv
0110000 04000000C0U, in
N mt v-~Uwtw' 0) 1 O NC* 0.I-0 ~ ~ C I'0 C; (5 C; C; C; C; 'dCc;0
0 F.-
21
C; - - - P%-
c; C; C
6 , A
It 1
., .0.0 .0. . . . . . ..00 04VO( 0,a--atin' kmO'
- ------ 0 W-3
-j .. . . . . . . I
01 w~~wwr"N w
>- .- M 14W0 4 Ch1MO - - - - - - - - - - -
In COMMODOD m n0110tarm(W0~~N OTf 0c40rv4Drow In w
0 U0000000080000 LP0q
000 4U:
I-I-NV- 0M- IV
U)~ CL I UW O C; C4 (4 4O t ( V; C4 K
it Ill. . .-. . . . . . . .. I/ L )
in a . 0c.9110 m oum
0~S .iC .* . . . . . . ..J. .I~ - 00 c .I- 1 t. goood Mooo.- LcU I % k )
22n
0 o M -mwovt r
'C C
0000000000
4- owo o~
z "rS.2 r-cm 0 .....
lz 4 0 o mm o mm o rtm t Co -W fc
. ... N V MvA1N v wo~
m. 0000---0-000000n
.J . .J.. .--.. .- -. .- -. .-
II 04 we mtw~4~ & a
$1 - 04It dm~l (-W0IO mmt-% m 0 -I
XJ A. K NMMNi MMNi ci u
0 VInVI ZCj M. C440 W'1 ).Inn .0~ ~ . 04 .. I.-- > 0'IflV VW 0- -0m-4.00VI --- - - m
V.~~o 00 00W w OWo-t- .
I- - Wn 0C It~IIt N C I f~,&n q- w m-I vdlnm v f
It 000 00000 0,0,N, 0eW
In I-. In0O U ov8(4; mm.o 40alr%"~u oIn 0~
ox0 e~0 I - t C, Q om m rw m r
M f 0r)40M - I v InW C4 IN -4CIn ------------
* -I -M VoC)l-MW~nWW Ism'
110.0000I0
-'0 IDonD888888880In8.-u I0 0e'dIO~Vwp ( 0N I
0000000000000 I0 0000000 i
0 1--
23
.4
V) 0 i 1 mtMNm"Ioo o
&*C 00000 000000 O -w uw
~ovo- VON-6dd6 i0 ZmmWNN N C c4 c- I. IA . w
O I I-M04O . w~ T - 0
4 ~ ~ ~ ~ ~ ~ ~ 3 -m NW-C W 0N0 d-~~iy
NW N vwON M -- - - - 00 00."30.N OM M U)aa~ m gowr-v t- o o dwmm-r o I- * C, I.4 .00 00 0 &W-in oo MC W OW
0 0 0 0 0 0 00 V --- a 4 tI I C.~,W W W .~~q afl C
0 >l . . . . . . . .I' D.0 Z00000 o" W040C
*m Aeao~~- n 6
V N t-4 V Nt
0 mVW;SWC~ .4.
ovUm#mwr-vm.m-w 4-v ~ -t~ .0 N
& .10 . . .N- in 00 0 0 0 0 0 -In -----
fC t-r -( r -r -tt . X-JM VW 3~N
2440u 0Wj0 ,0 0 *0 *0 ; C
m 000vt-t D0V.1 -04 -f ,f I 01 4
.4 ... 0 0 0 0 0 0
440IM
IIV0
OW00N"4.N~ WN
in 000 tI-4)CW 00 00 O11 40()UU-(U 004
*. di 4q~~0 9 % M M wwf 1% 0>2 r.~00-cio m 0S -0 - 4 %v"Wv 6
0 000 U) OII II -01
19 !m;W0mvmmmm IID e w1 CO WW(~r-qP-(DinC4)w 1
04L W*.NN f-V0 m~o0s- w- 0OO~ v vm
o . . . . . . .4
IL osoosor- '--'----,--q-0
I0NW 30 Q)W000000000000ab0.1
4 Ln In
in- 1,66666066660 tfl0i S~aq4m * 0 0 0 e r w I-wz . 0C)1DDD - i i3alfi
N I-~ *25
A;oP ~- COD00dm 0wow
004 -ut- I.w to
0 ~40
.a~'w.4 w m r0c I . 4 7 7 O o m w~- C
cwwmwMwMMM -m- I * w
11 w X- mw-woo, r-aIL
j I- >n~4I(-~
m008880000 WO(D
winta~C' (4 - -w -~ 0 0- i-~~~~.~ 4.0~~nvnt- innnnf 'lfUifUtll XX N
.- . . . . . . . .e .0.C . .48~~~~.W 0t'fC It(eMW0000-q T0--N~~;O a
fOWIIC119C4
m x a;4 co r 4 U; C; Ocw 0 min W wwwwiC' I.4I* a. weinininw- inCVeo,4-40 0~l1-1a . . . . . . . .W0 . . . . I
ItCV r o to vC4 r% T O iinnit) in in v v m m (N
40 iii iiCOii 40 N m W4 m o1,U)0 V d( -,q1% 0 go 00, wt-Wq(NOWq-t0 C4 C
~- 0000000000000000000
U.3
26
00 MOW WWU-NN M"I 11 x )I n 0wWtoDO-r r - Zc c ;
a, 00000 0 *066 6c6;6ccc
Sz0 t- wwqI-c M v vo n...............4 40OOD Itm mm Mwot- 00C'( y-crd-r'r- , f a
* 4m0c c,. V t-w An -Z2 0.00000)0--40 > M00O00 )0
00400000 0
c IIM)L toIt0 o" -'.M Oin b-1-..I
z4 C4oo 4-t -0 om A
X L A m U) )Uw r ''-0 00000 O fl
woq-vo v o- wine -Cu-Cmo-1 AN
LL " D a - 00001-V MN fliii8 ,O~o .. . 0t
8 AW1I n2OO.-'Il-I 0.0 6 6 6 66 6 ' >II .(l.- Q 0 I
w- o e-~o w- w~-2In)C0D 4'II $I I? mOO6mw~c0000( 0orMin *_. . . It
I -~( 0 0010Op- 0 ww ,i ,U
0 (0 .4O)04MN-00.MO 8-N1- ~ ~ ~ ~ - -m o - o rN 00~--D0- qn d C ~ ~ CCV.C -~1
.-UC1W .D.~C1C2 0 . t ; 4"U78
-0o)-o wo() i) I-l v
SO. flI00D 000 001-))~000 CB
F_ '' ''.'' ' 666666666666-BO
27
w 1 )N og1n 0I
as.4 o- D)cmM C3CYV00M0r - t
oo M N -ww-0 g0 o -1r - m 4
*~ A0
11 o
* ) 0 w0f6iw 0n00 1OO 0 4 too ni W 0 w IOV£~iiI0wnI0w:-: a-660666
*00044
of w 0&4D0C4Il I* -qr-mm M Ocdn q- -
2i a- > w 0 m r% M m 0 sw M t. 0 0 404 m 000000 o
04 U 0000
q ~ w nuiiif inNt MI V 0w )a N
IL .. .. 4. .
In xnn-----ma
lOW U~ Ca.
C!'- wCi ~ l ~ ' q Go lCDiCD go co 00 0CcdC o o'd 6 666
V" 988008oooooOo o
4 U0. 0000wr mo M a~i n- n ~ i
a~ 39
-I.- I-28
7i7'7=7
0 0i)g J 0t 0r
M .014M O V -W W WP;1* O
oov4 ie.o N ~ fon 4404 0 .r c l0
It I
.I;; C6 6 CCCMO 000000
C9~ 000000000000 w.0vr:opoI00 -'46G f ; ; O M
- - J IIV IVIV 0) M v) M MIt I
j M r) MOD 1 40 to W W N In 0 f'0*W Ml w tw o~ - W - ,-NO --- ft
00 . .. 0 r .t .r
04o o M M " W i Y 4i * 0, 0, M W, V, s %is ow 0
000000000" I' 040
An 0. .4 , -1 r .t
Im ori' W400C0ONVO42WMt w
n 0 00 0sI000'Z0
2, 40N M Go V Will00 on
>0 t Wq- Vq- 0i in W! - 0!
..JIm Ir- 1wnnct w0t 1- W 0uN 0 t-
o40 M 0 0t
I-I-
-0-
a C)r-V -M Qg0 i in Nq'M- " N O - U>'0. n il rV 0 00 I.~0 VoNe'OOt- N O AL~0 0. ............Iin Nf -000000 ------
(D 0 a 0 0 0 0 O l C; -qC C
0 - in O OO0 00
29
0 '1
.1c
0 '- N ~ "0I A . . .. .. Ua Dr l 404 vmIiv M W - o m I z x
. - C og qvt D I.x-SO O O O
w C0OM04v r ,
. .... ... ccw o ,mW040 O tfQ10 4'- 4; 4UO0000000000000'
If 0 OOO..4O o~UmWN-uONw0mco 0000000000000mW wR 900000000
z-om~~nw~ 401ow noirnm MU 0000000000
I' 1-011W IM-00rn VIXIM"N" 00."4 0 r- q0 w Z IMOV .~v .c~-~ .- . . ~ .
-> r. 00 0 0 -0&n WO -rC0n.'~ 404 0 000 000000'-- m40 Mn1eC~i
t-0m 0 w. 0 t- - 0-4040 M 1in(0 1 04NOV Ifl0-C~ 40- 4000000 000 0 ZiN
x0 0.. 0 0'-c f0 r-cNOMO OW0 0K"00. - - -O O oooo C4 4 0 0 0 0 0 0 0w t- 0, 400i& U
i-I- ~ ~ ~ ~ ~ ~ ~ ~ w 40d0ws~c~-n 4 ~wv)r--,Omc~ O~w
40 00 o1149 .0 . ... ...-1- mt- -,- OD I-fnu1, 10 40 0C*V e'bOOM ONI4 4 a .. z 04 W ~ ~ '
N M 0 w N0 t- r- 0000momt-40an' t-
I' o o M vo f mC. WQWMVI!-ONINM40&t)C!0 1
NO.~~ .. . .. . . .~- c ~ r 4 r ~ . .c . . C1- L. 0 008800 00 II) 0 0C 00 0 -- -1 Cd'4'zfW0
I.-.
30
ItmmN~mwMMOOOV -m OIfiI lO - vNmvM' 4W 0r -goWWc 100
I j1!aC ;C ; ;C ;C ;C*C 0000000
IWof XC DC o0
00 m 0 0 -I * .... ' .. 'a0w 04K 6~ooo
0O WOt
W~~~ CDfl0
W~4-00>000wO 0rww K~~0 c
011 w~ wc~ - 00000000~u
0 0 00wi-- --- a.W - 1 r i Owo 1-0ceZo0s0w~hf~~ 01
0N W~t- -00l-c(P z. N
- 4 00 IL -0 -'~ N M N O OO O
0 L m 00000000000 4 MW0 ~ ~ ~f W It ~ 0--04iC
-n>.~--mr0 -V V i,-fltc-u>w~w~wwD~
ftwmct COM ONZ 00-n ii 0;( CNU tC#id4 I
W-00 _CJ'If CO" 000000000 tQ
0.~~J . . .Cd'~f N . . . . . . . .)
ID f
'-eIt0 . W . .. .* , J " v ~ - m - M I
W O L000 QQ QQQ W0 000000 i
W. ft.* O .9O
31
.-wO i
~Il~wrnn(Dww~oO 4 Dwvr MMMM~doO~O- .4
6666oe666666666 i*Ln0"
fw r-m*N~M 40f mm1O- mr-c n-W 0-0 ,- t.O mr In 1 it t.uo VIooo- xt
INW O mw-w ~w a
wt m m w t-M- At-II 88N-;8 N *wO q m mN x r
-j> Vww06000666666666 W0
1 .11 # 1
it) . Ue SO4OVni -w-wc'vrfwoiS.-M 0. (
. . . . -. . . . . . . .
49v 4C mU0 0 0 0
P: I SU~ I i S ,1, i - o m v Wq In , - n 40 N oo-Ct).-mm O~ a5.t ( . . . . . . . . O0'.D.O.S.I.
Nf 00. to8 8 8 8 8o W0.O0 In~( nnC10O0O00000W
I-I C;fSD~t( 0 ;60 -j V nWr
V)s 39- ism 0i0.................32e~
," 4,
00w 0000000000 000Of :It0ID~'..~f.I.0 0.9Ou~frmmmW WW -. 0
It 11 - t,
U- I--cu - fh *#M 4wooW4'C4 0I0NY NtW1C~IIwv~%Il wZ ~~ 000~0CI'~ 0V 00M0 OD o 0 4 o
It " .4z04 y
.4.. (4 U; C4I- 4 6 c; w 1IS 0v0Mr vMr ; > 0@MMOM I-AVt
N ~ ~ ~ ~ ~ - - - W ~ &MIDVVUI(O we-OVw'ab wf
0 aU a.. 0"
00000000. --- 00000llfU
II .4 .. 4 . ." f
I CL X0 fl00WI
(~ 0Wwr-mvw 0 4M.'
InI9L N 000 N00Nv C4N0-1 1 -
~~V Q It000 0 00 0
0 -N ( 140N I -'4 t- * -iIN>o~ 9L Wo ro a 01-0 N U)~f~2(
"o II(DD C.Z-Cd~ Wc~v)OI(*I 0t~0 . N D-WM---C Di )r e)1)NOOOOOOOO 0fi ; w 0r-b r-(D4 i n nU)i W 4 . N"C' ---
M 0 0 c- 00M 0-m r. W -
O.~ .~D~-n,0 CU .O . ~ * 0 .~ .. ....
(dI-- 0'O 0bn r-a0V M -NU . m0~.n~~o-(d4 01
.40 WW~c0'1Il-WO C33
00t- or mm 4 w. r-WOV t--ww 0 c
B- c4qomq() OMMMIlOONW ;.4, ;0;' . wan~~~~r (m six [email protected]~ ~B
04 m 0 '0
uwrt.00 -NOW---00000 anan
M .0 .. . . . . I- iow vr401INvrII0 -- --- a
w1 0CL.0I0CBf0D W0~~ N inN IU. 89I M q.1-INNnn *U. IiXc )w V4a-- C1 0Av0r-Mv -V- §00000-a ei 0 - -- - -UU8D
4. cc
.0 .- (1- 1 ' . . )rof - cc~n Me Mal~ 14 0 r0W C )
44 N 0000 0 0 4
.1 00 0 0 0 0 0 .4 . (. I'4L W I NN I IV0 MM - f 0 4 () M MM M C M O 0
0. 0IM a) r- 04-(.fID l o VC YC4ciNciC N C4 N Bi('dV) W -008.01CBf 1D(IV-IDD WII v
ea1-,-1E
N V) 4N N "N INC l r N C -N N
4L0 -j M- (0W)r- 0 04010 00 0 .
u. 0 880080 O1ID( C C C C 1C;. C4~Bat n~-m - W88b8888 4
Ba V) . * . . . . lO1( 0 t-1WIDIU1U~fl 0 11D1 In00 Ix
344
.o*
In In 66d 40 too M N V M o 00-,100 m 4v9 I m w 0
l' 4 -I- ZO .w~ s . ... . .in me0 mcc-(~.4 ~ ~ix
z> a Qwm0wm 4K
in 004"
V! 1! 1-0Iin m 10 0 04 -W w c c 0 0-r- C %
*- - m~- W vvW.00"NN --- 040
it~~0 OW 0
(4 f- .4 .t . . . . . . .
'4 - KeLI"O e ,-a~c4 4~ >NmWmw - 0
886 00 00 Kw WO w8- 0
O K QOOOOOO OO 000 4 .
wr0i-o in' -o
CC X 4I CC * f t .4 i' U ; I M 0'~' 0 4M 4' )O 4 a
-' ~ 0
c~~cc~,40000omIn iv C V;it-In r ;C V V NN-"
W~~~n InnUID 00000igalco ovC
n 0 O)a N4 0.
000000 00000 ',- - ,- -
§ -~ -35
A 1
vo 00) M O-M 40 0r.nwnnaw0 ani wwwnnt an- f-0 0 r- 0ix n 0 wDt or-r- r-,-- t%
I4 . *** 00000000000000.0 0000000000000.
m-0 vi v ,w( mmII
0n A-0u an~- 00 m)n f- 0 0) 0r -mW; U; v 0 o 11. .*. . . . . . . . . . . ot 0* 8 I
Z~~I NDOW~I44 40 N V LM W) 4
004 waIi It)0 nocd0~ f-
C4 0N 04 N iY - 0 0 0;
1a.N a00)))00000 P.- t---I-0--m
m c v 0 -0V . w In 0 InvP N k1C0 0 n" m0- ZWD0)-W00C.IcwvN M N
v4 0 00o00I 0 r
II 1-0w 1-.a-onqe0'- o.1
L.30. .9 IV-40~n0MOCCIC04 W0 > -anOOMMVNqi-alOM I.... .. .. .. .. . .... I (W~m 8 8Nmvmm~w
00I m 000000000 4 NOV o:t
v~~~~~~ anODra0tiWf--r- Lanmc 0 o- Ir ow o-,mn.--f V) -
N Go w man0r-(o-vc 1- w m inw v )m M c 1IN >" in 00CMtCmr- 44 40 #an 0 (a 10 to 4D 0 tanan I N41
4.400. ---- C§0N000000000V0
ana 1-mNMW).c.orc-0)-a NNNN NN N N N Nm
C~x woo-r-o-a'wnanrnman mm4>
in r- 0oOr-C c,00)0 1- ul0. aC 0nnnnnnf)0ac t an-W
aoODoODO owO ow 00 0 CD~ N~e'd NC~t'4
*- M*Mwn wm Nm 0.44 C*V0 0 00 0 0 0
000 000 00036
int -4 4 ot of
100r 0C At DC - oM0r .1 o 000oo4r r D0000 -9I nb 04 04 4 0r -f 0 0l
a j
I. I
00 .- r-st mom-v-r-m000mrOU JNM M w9 m v InnnnSI-W-IrI
00000000000 C;
i- I In (*, w .-. 0Cl4 - C ui 000000066 j
Mo vm* ----- ~oc~- 0aw IL Oooooo-inimovor, *sr
00 ii- mwr-ams-vsso- CCL-
4, ~~- - - - - - - - - - - -n -i
.j 1,- > Nwwft WU 0 v w w C 6cl;fl 0M)00
n0 I 0 ~ 0 §' 0. 00'I inSwwr~m
x0nt~~'W'0 000000000000000V f-0 CD t 01-w - " 0 00 m.-r
(' WNOO -00MMON . *0&f#-OV t-
C4.4 XC~'0 @ tV Ys I -)04 4 4C4 O oi
0 . CwnV~ InI-f -.11- a n 0tlIr U0C t- t- t-~V~O L)1flC4N 40 1
0. 8 or NC('C mo Dim 1 i r i alOC in fin cnl 416 Wt -0 wC~s91 W- w w- r.o NmIn Sr IO w~
4 *0 00vClw1nofw 4 ( j Z
ti-o--OlDt't -= o0O 0 Olm
N 0 0.. 0 0 0 w w tI- r- r-0 0
. 0888888888r 0 § lint >z 000000r-t- (Y) .
ot' L 0 000~~f~lf Cl-nmi0Im00& 4 .J1,i- tsn)sVn lC) I.N 5.
Na. UVVVV C'~C.0IDl@IW Sf37
1- M N N
ooI o ,t -t l o
W6c;6oooOO00o6666
.0D D ~ -(tt .
J cz
UO
'It 044 * * . . *
o- oNov ---------- --- Maw t
0 0 fr, f-r- r- w w w 00U) w w4I0 (00.W(UW S - C;
4w0(m~~dmm- 88 NM M rm- ai
m 00000000- 4~
w( t0( (0(r 0 - 0 -- 0 0 (0MAX . .. o~0 .m ot.-0 0 naO
-Mu-.l( 04
N M M00 "
0 -0000oa
'' '' I 'S ' WNW0000000000000
l0zO O In r
0000000 N NlNNC
to 0q O 0 -uN 0 0I-i~! , .! 1 O qwwpt m((Cmo- e. 0. I
P. LL 660000000000- to .- - - -x I-
38
0 1I
Iv'O
0000000
*400000000
o
t.n
0 ) m
111-$4,
11 0w I In* 04W
-J > 4N Im ; 000000- 44
w 0000000000000 I*('w V 0 - - 0 y.Y - . - M (0(
.I .- .. 4 . . . . .
UL&100100l ---- 0 ar; 0De0 I
i-o4o-rr 0NW §00 0 I 0 V
wmm0tm-- wC -0
4- 0 0O'000.000
0. ~ ~ ~ ~ - to0 YC0D''( I4(0 (00 .W 0 0 0 01? D (D0
.I . . .. (0 I
ID L~~~. wOOO m OOwO~-Oc-OOO .10 00 00 0 00 0 oIon......................
t--j- - '--- 000000000 0 c
N d34 4C'C
39)
w 04
-Ix
-'UU
'Cooo666~666 a
0 wmto~ -o 0
w O O O OO O O at**~* *fM ~ w f w . - 0U w m v vm m- -9" -9 0; -4 -(6 -;, 0, ;, M, 0* ,
oomWNvv '>0W W ww v ; 0 -4.
9 - >m LOU,9-- 8UC.
ILI 0 0 00
M&MIifl000o 00.00c1"0. 4 - - m m - o
a at 0 V! C! . . . If -
woC~ 00000 00000 & .. .. .. ..
0000000000000
0N. IL C V)C,-W-)-C-
I'-K
40~
w
0-
sw
0WO
0W W Uw
a - .Z L
> <41-4 ~ ~ LL.* g.c .z .J0 p a Q Q0 Dr,%, ot
w ~ f ce - C%
a w u sw-IlIIlloz If. CA 0 de 0 L.
0-40 w vW 1-4JO
H 0A.. Owl ww~. ~ &n-Ws =( as- -a I C')C'tJN N = -J<~O
41f L . <= In 4 w
= L (A4 a i *NV L)DrcmQ N ujwww
oz I m Lu z 0 .zCiea0 -4 > L N IL
4w Z~ww- ~..JU =O=X Z ~ Wa-.a~l-~l 4-
4a-a 41
2. STREAMSURFACE BLADE COORDINATES
Figure 30 shows the stacked Phase I rotor streamsurface sections.
Each page of the following tabulation gives the coordinates for one of these
sections. The streamline designation for these sections corresponds to the
calculation streamlines of the circumferential average flow calculation.
Streamline 1 is at the casing and streamline 13 is at the hub. Also given
in the tabulations -are coordinates for the section meanline, the meanline
angle, and the section thickness at each point. Streamsurface section chord,
camber angle, and stagger angle are also given. All dimensions in this
tabulation are in inches or degrees.
42
LEADING EDGE
/
: ROTATION
" Figure 30. Stacked Phase I Rotor Streamsurface Sections
43
z
aj 00 wcx - co
0 w
'I WN O O 0
a 0'~'0-C'V~ ~0 0nU-r-t-o0-w~v -0X -- wwnwwM0WNWWwmOmmNN
ZC r! WO Il'.QW-WC C". 00r' 1 1 Oc'1 QCr.- -.-- 00.:6r-wwnn-00600000000000w*00o'.
LU a'a a - ym
U,00800000000 0 000000I
.0000000000000000000 W
I. 0 0
0 a) M-wC-mmfwmwr-w-r- 0
Ix .z 49O w m tw
a I 0-fl0 r-0ol) r-4 a . . . . . . . . .0. .-- .-.-.--.-.- C
aa - -- -- -00 00 00W66 6 m U6 6--U: .Ln.
U~~~ IN wt-00O)Co0 - n~ow
00
w-----------------------------0 000000 0004004000000-----------l
4 44
0(N -00-- -6 0000;6 c;606000006C;06 00
z
1 mo f- mv0a- t- M 0 V f )
A - 00c.C;000,0000000000000000000O0
* 0
La 0 0 0 0 0 0 0 0 0 0-------------
00 00 La) qwa womt
----i-- - 0000000000000000 000 --
I-. -- - - - -O
cc
L6a
M-0 M- CO 00 IC
VoL) - 0 r)0 ;0 r t L t ;( ,r a4 - C; 0o , OI U~I0&n
a Uncz . .lu
0 w I -~-0 V 0 IO 00 N U~-O W M V ~ O%lx 0 4
0 w WUCt 0
o . . . . . . . . . . . . . .. M a
a -- - -- - 0000000000000000000-17a. ) u I I S I a S I I a a
z4c -JM O W N OM N W w N W~" W v 0- 0
u 00 -0 - -N ,4 s mm v w w o -- wwwn!m-
CV MMM.I
a (NO00~t- WU,'qC~O0(Nm45'
-------- 000000000000000000000 ----
I . I I I . . . .. . . . . . . . . I
0 V)OW
----------- 000000000000000000000 -----2 ' * I I I I I I I I I I ccv V 1
---- 0000000000000000000000O-------------
"I) V, W, rn (0,C)~ Q f., 1 t in C iN CC P ,G, W
Ix a
*- M O CDC.I cs M m
Lut4 a
z C w w O t N '~~~
0 L)
"N* MM tW v.mtI.- 4 V)j( 1 0 0-; C; C;'L )~ 0 0 C; C; C; 6 0* 0 0 C; C;0 0' 0 C;
LaL~ 1 0 0 n 00 8
-o - -
4.- ~ * W ~ t ~ a46
N t
z
I C m
------- -00000000000000000006000000-----.1 z a a a I I a I S I S I a I
a'Ix
11000 mm-00000000000000
--------- ~ 000 00 00 00 0 0 w00000000---r-~-- 9
--------------------------------- -------- 00 0 00 00 00 --->I I a a I a a a
LU
00 00 0 -- - -- ---- 0 0 00 00
U
o I
Ix inC.~i 0-~~.ci~iv~- 0o0rr C~~
a mmwm .WN
>. -MO mo0000000000000000000000000000000ONM
- 0
U U
---- 0000000000000000000000000-
-. -J -0
Z 47
N ------ 000000000000000000000000--
ccI
. . . . . I . . I .
7* v
C tNV; mvr-N
z Nom folmmm §0 womN tr.
CD:
m m0-N0 0N 00 00 m 0 NN0 0 M t- - r C~ n0 4
4 a -00000000000000000000000------
Ix a
UN
* ov N-0 rwov -000.1Ommwr-om-
aw 000 00 000 00 00 000 0 00000 66 6 6 6 600 0
0 ICA. on m -wQ . M4 owoo t O mMU A x .
- a ~ 0
4~ ~~ 7 74 ~ - 0V C 0' 7 V 0ft(C~
U~ 0
S 448
-. S -- :----.:.--- 006000000000C0000000006c;0660060
C ~ ~ ~ ~ ~ ~ O L mD 0 O ' .o0C~f r-mO- M-01cl
U: .^v I cC lccr -( l
4 0000000006660000 000000 0000-------
o eyr nwwr -wc 7 na
u ----- 000000000000000000000000000000c
w a ~W 0 O ~ ~ U C~r O 4 O 4Ml -C
-------- 000000000000000000000000 ---
crLo
a 0 . t- CY
a - - cy - n v 9IMN MOM-'w inc C r V M O ONNN
r- 000 0-------------------------------------rr .- 0v 0000. . . . . . . . . . . .
- O O O O O O O OO O O Q O O O Q O Q1. 4 -N-m-0r -- O v O N M M Nmm 0 t
cx an 04e a - )N
In v -00vmC4C 4()vvi nI .WC )a. .
0j -- - -a00a00a00aa00a00aa000 aa 00a 00aa 0a 000a 00aa 00a 00a 0
NcxW M 00 a; ; wa~~a a MU
*~~~ 00 - ~ -D ~ ~ U t( -~0
U.:--- -- 0 0000----------0 000 00
4 49
00, C 000,0 000 00,0 0,0 0*0*0,00000000000
z
LL O TvM -0 0 r O M (-0 -N. VL)Df
u~~~ Nc W rr) C. ~ C~C0 0 7 1 00 pm0 0k )wq0 oC V
I- M ~ . . .. . . . . . . . . . . . . . ... O000 000O00w00;000Cm .
z a a a g P I I a I a S S DI IWu T v1N -Cc
w in r-w c
rI v 0- v 0 r- or cNvm r m0wt ~ C4-m t,X a 0 M 00 , orpMv ,4-0 C4nVWWrOD0 - N N ) M-
. . .~n~w c w .w .~W 0 - ~ - 1 f~- f( . .. I.......I
--------- 0000000000000000000000----w I I I I I a I I
cc I
LILP
0 VM
1 -00000---- -- - - CdC e'd(NN----------- - -- -- --- 00 000 L- I 0000000000000000000000000000000000 0
'a 0 0 w
coW -I, 64'W ta o- 0* n ,v t-; 6 00 wN w%0~0 ot
4~~~I W t-~W0 W ' 0 0 000
V) I
U 1! 1! CN-) C4 -- 0 (.QC W 4 ~ In WC M0N 7-(N0C 0 "CN MNI-. -: -: (666Q (000 cad 00C~a W~ -W'-.00
- 50
o Ov0 . .6 OO O O C;COC;OO6O66OO66 OOOOO'6 OOOOC O"
w C%
---- 00000000000000000000000000000-~
a I I I I I I I I IOT M W
CCex
o wo (
6- 0 0 - - cccc4vUcccc44 7 ,-,- o o664 66o~o66;666 6~o666
o w N
mot wo MN (ND0O000( N mv 4nw
0 ui
mtI ~ t- m v 0CC W W ~ W 0 f~lN - a 0 n
* Im
-- -- 4 o oo o o~ o '6 066o---,-
0 i
00000000000000000000000000000000
I . .. ..-- - - - - - - - -* L
4 -. I ooooooooooooooooooe~oooooo51
----- 00 -0000000000000000000
M -00 V.ad Lfl CD C. r- m0 W 0 M t W (w ccN M M r r- N C4 U 0 D a' O0 CC t. In 0 0 r- IN
dc 00000000000000000000 -----
0 t.0mwr-Ommov 0 wmomm0t-06nS -- - - ( 0C',WWW0InIDwow.On M C',
w
*--.--000- 0000000000000000000000000000---
ai ma a ii asO C N W M aorw MmaM~e (Dla I I IIII.
CL ---- ----
Ix a
a -( vv O w - ~ o v-~-~ N ~ W
00 0---- ( (N Na--- - - -0000I
Ix I
Om nm - M nvr t 0- Onse W M m-o-m "Oo o -v w m w v-m
. .0 a a a a a a S I a I a I- - - - - - - - - - -a a a
00 - ~n~I(N-I ~ -0nflI- 0cmom-f-vo
w -00000000660000000000000000000000IAl Lu a a a
4
w cl) In t- m ; M m r- C0 0 0 -~w 0 c I D a .-' -f - .-
-I - 000 0 00000 000000000000-------------
a I- nrfl- cviflt- c,)wlc(rJ-Vr- rwmcwic 'v- miDOIC'4mrl-
a 0000000000000000000000
52
00000-0%C4'0 0 000 0_0-0000
ra -
w Cx C-0~ 4Dt D nvC)ci 0 .f IV M- N~ t 0 0uYV Vin( ca D 1 0
0
C; 0ooooooooooo6666666666oooo66o060,o00oo0ooo0ooIxp a a a a a a a a a * *
Ix
a ~~~~N-M- VW-C~l-0-0~fw L
4 a -f--7 7 17 ? ? loltolo o o ---------00 000 00
Itt
xr ot -- MONO-MwM8 v0o0wr-M-wwm-M or--
0x a
L . a 4
a Mt- o ~ oV ~ -
4IVM amo 0v e- N0- 0 ~ ~ ' CI l oWt- O
a 77----------------------aaaaaaaaa------
ft 8M M 0 8.00 - -a
o ; C C ft a6 m C 0C; C C ; ,6 ; 'C;6 6 0, C; 60 C 0
0~v~t OD 0:! v w Cm -cr~~w-w,0 Mft c4N NNm4m mm
I- ~ 0 rn!0 0 N~t l~fl fl53
--- 00080h00 L 000-----------NNN
z
t'i
-------- 000000000000000000000 -- -
o 00
LI I
I&. 00000 770000000000000000000000---------Lw 7 7 7 7 7 7 7 7 7 . 0 1 1 1 1 1 4 1 1 1 1I I I I I I I I
- - - - - - (f
>C
*1 -Mo I XwwMNw -0mo--- O-- 0 - u W tI-0 -- - - 00 0 0 00 0c00 0 0
U I
Ix u
toU ct C ;C C t C ; 0 i C n
in' N0ovL o(z - - - $ i .
*~~0 --0 0 N C1) NNNNN 0 Ucc.NLU , 0,0,0*0, * , , 0 0 0 0,0,0,0, , , 00,0,0, 0 0 0,0,0,0* , , , 0 0 w
II- 00 0 00 0 00 0 00 0 00 0 00 0 00 0o
-4
U 0
00 ----
U I00000000000000000000000000000 0000flU*
- 454
*-NwM~vMMC4v-- 0000000000000000000000000C000.* 0 0' 6 0,0 0' 0, 0, 0' C; C; 0 6C ; '6C 0 0 ,0* 0,'0, * 960
zv* w M v -~wOw(wON00rv- No Wot 0WLMMO~
w 1 0 v ~ L- M 0 ) "W M- 0r 0 0 r4 in Lr I Ctr 1 ' cl; C4 V. r1 - 0 a' in M 00 C w N -v '
--------- 000000000000000000000-----2 z. .'
0
fWC000 v w N
Ui. 0000000000000000900000000000000000000000
CD,-wnw or-wwo ov m t~ovr- -w4P~v ~vNmv m - cmro~n
-------- - - -0 0 0 0 0 c o 0 ---------
Cd.V
- .- - - - -- -- cli>ac
1-o - --- 0N- - aci
.9 0
I.
9'I z 9lN wv v v 0- i W (9)( -C)Nr- 0I~rCd--; %w * CI) N -0 14 -i- -(09 -- 0- ~- - - -w0W 0 0l
z Ix2 1 C d N9o z i 99 9 9 , 9 9 9 9
o~ -00 M. NO 0n WO~ NU.)M( ) 0M m ~w V w ~
U .000- CCNy t-In0C)M V V VOM w 0W~ON)-aN -1M uMOO
I- NnV fO~W000 i0 9(),~i~~.O~ W N .C
0. N
z 55
3. PLANE SECTION BLADE COORDINATES
Figure 31 shows the stacked Phase I rotor plane sections. The following
tabulation gives the coordinates for these sections. These sections are spaced
one half inch apart, beginning at the tip height of 8.5 inches and progressing
inward to 2.5 inches. These are the same section locations as given for the
baseline rotor in Reference 1. Also included in the tabulation are coordinates
for the section meanfine, the meanline angle, and the section percent thickness
at each point. Plane section chord, camber angle, and stagger angle are also
given. These coordinates are intended to represent the blade under hot running
conditions and do not include any corrections for blade untwist, meanline
deformation, centrifugal growth or thermal growth.
56
2\ \ *\
•\ .\
I \ • "
,\ \\N\
\\ 'K \ \
Figur 31 tcedPaeIRoo lneScin
N.~ N~ N57
CL
-a-I.-
0~ 0
a 0 000000000
I-- x- 00 0 0
weO0 Z z ~ '0~ 00--w wJ-~N W W
0 4c~ z1I 0
C) 00 --0a - NNNNN-UNNN 0 0000 0000000000
OOOONWOVN7N00oOVwgDWcu
0E - 0~00 -'w'r.oe D ---- NNNNM-0OOVoow I- . .q O C. . . .C . . . . . .* 0 0000 000000000000000
I- (n I- I 0 0 0 0 00 0 0 0 0IC 0---------
I. ilZ Z I B. O~ C~ N O'58
Z 00d Nto4 oO
0 aVpNV-N
.40
WN x0 4 -
0 0 a&W-0b0 v) N W)WKqS00OK).OI om 0D 0OMONo
I- . b-. NOVUN00NU0000',00-- I0 ;- N7 :)) M C; -;6C ;6C iC
Z Z -OOW0oW
4c m<0 - -NO 0Nar-- 0 --- 000000 00
b-A._NO~owNw 0.
1: 0 0 V)0 N U D - to ) IL 00Mt0O-~.0o Y o w w0D Q0-b VUU C00 NW N -0
Z b- A.o ONU) 0-0)-D0b~N O) n
w < 0
w 0 0N0-0- )0 0~go OOMWN( D11- C.) 0 qq)(w o 00-) 0-0- M No0 0 NNNNNNC~NC%( -- 0000 C;--00000N 0 1-000000000 000000;ooo 8
0 z - Ci.
0 Z Z w 0000ww004r-K00F4 < 0000000000000000000 0 :) ~ U)4~C) 0 Z Id 4 000000OO0000000000)0 0- 0 0 VVNNWm0-Nmq0
* 0 Z %0(obw)oNOWabwWF-O w(D N. 0000---- - - - -(UCN(- I-WW-00O@~0ON 5-00000000000000
- 0- I.- 0) 0, 0,0 ,0 , *C *06I- 0 A. 00000000000- 00 00000000000000
I
0 59
IL~~am
7.00 VVN
0 . . . . . . . . . . . . . . . .
.4,4,4.z
7-Goz I'j
-'4l
4,0
If)
zz b~lo~~el~-Io 0 ~la
N;DkqMC C 0 o ; toy (1
a, 0oe3 w I a...~*04 0 0 k
Nww
* O W 0 Q0rl0wV)- lb OO -0 X
W 4W
4( CID
Ir D -- 00~bN qI-~ b 0N N ~ .
0 0 ( o 0 000 ON000OON000NN4w4w~w;; ; ;;o. ~
Z I ~ 000000000000 000--000000'-00t - .ma ., .me .m e . .
- 0 '0 '; ;0 ;o *ooooooo ;' '0 0 00 o ) 0) 0 4
tW WA
L D 0 0 qW Ol - )t0VV b WW4 a ~ 4 ---- 0N- 00 - N0 )Vbbs O Q I-
I-0 .................................... 0
4,4L
-90
if)
w . i
0 :644..N
-I-
VNN
-j x IM OD 0
I--4
00
0 0
( 00 0 -
*0 C; LLN4uaiW w e-iK) 0000 (
z z 0 z..
0 < w Ic
I .- (.) 0 Ia Jw 0 w w to m V
(DO) >-
0 61(
'4
C);
U 00
0 0 Z 4 c ;0 ; 0 6C 'NO; a- ow N 00q0 o 0-o z ~ ~~ -W oo-rooo 0 N0~bQf(
C- C! -0 e4T 000 V
~ -,---,-ooo000o00o,--oWW
C) j 00wqo~wiwoNe(DQ
4c W -N )N00
w 0. 0000 -00000
0700 -NW0N- d q. ZN W 0-W- W0)@
a 00 - - N~NwwI- 0 000000000000000000000
'4z z -0 ~ N - O ~ s~
M -- -00000000 - 4 --00@0000000000000 LN f~ 'o~owo~ooomwoooo
I- L 00000060006606000-WtrSw Q) Z
oL 0 vK )
0 62 04 0W q q0 wo-o
Q
N -)N:0@'W)N00uv-
W 0 W
-~ 0 W0-Q~~
W j 0v;ovo O w o W49) 00 NOV KMNWM) VO 6666
0
ir Wov. *00o x CsL.0.
z -- L ON000000000ONOON0,- 00
~ 400q000q0mv.-rsc)0z 0 V0.J-00--WO otWOMeONi
(D a0 CW * cc -. -- -KO 0 000ONNOO*~~~~~ .' . .)) C 0 0 K 0 q - . .. . . . .. . .
0 '. UWNJNNW- ---- 0000 0 .--.--.-.- 00000000N 0 I0 0000000000000000000 0Us~aa~~s
z 0
o- z z i< j 0000000000000000000 :) momo0WwononoOmo z W 4c 00000000000000000K)O 00 40 0 ~N40-J~cCx x f'.04DWK).-V~..ooWwuor.o W- %. 0000--------WWW 0 amOOOOOoOo. 1-- 00000000000000
>- toI
CL a-NWN WWWO OWc')Oo 0
C.) 63
N W
o - 0 VNNNOWV 0NW-0 ON009N0WOr 'VD
S0 0 W000O00OOO000- O--'~'VVV NVW@0
* zz
Zi wa 0000000000000'''
gill91
0 01- 0O -0Ow"Vvw~* OD
~ 0.
iti
-0 ci 0 C0.( Y I i)4 10 C )V VI
(0 0 0IL
0 OK (
0 0 000000000000000000000000-- hWWN2 C )
: 00 Ii. 0'0 - Z ~ 00QW-00005'0000VON-n- 0
0 0 Z 0 a 000r ID -------NNN- -000000 .
r- 000000000000000000000000000hi) OW0 '6606c ; ;6c *60 i0 60 '0 *0 ' 0 0
L0 a- I'W
0.~~~~~ 0000NCV N NN N OO 0000,'q .5-
O 64
(IV
(60
*20o' 0
w f
CON
(L 0 DC0i-
0r O 0 00a O0 U0'S -- 00C'J
I.-
W wa~s
W 0 0000C
0 rz 0
N UU) -
-~ U-) )
0 z ~0o 0 0
c I 0 <
N 0) x(D
0 *C) 4c-
0 0 Z 00 o O(
0 0 I- -
I- V ) C)C .
Q. 0. W
IL0
65
IL
OOOOVN00000N000
00000o 000000
oov-NO-N 0000000000040
0 e z - - - 0 o o o o o o
0 Z
w 0 0 0 00000-------000000
Ir O O IL 00 N0V)0W"00V00M0f) Y0C00
z. z IL 0z N.-.W)o0)o0oNo".(,)oWo(oooooooooooo
;: W D0VM0r )Cl-- )P 0 .. . . . . . . .0 0 ooooooooooooooooooV
w °
,. o 66.,
a 000OVNO00
0 00---
z 0
w.c 00CV00000000000I%~ t~~~0W~w00-r'-NONON,00ONOW -
Lu0,0 w
0.
00 66
L. Z
o~~1 n S@ iW00 .t) R. aW M
0 w N 00) w0040 Q Qt.~O ~C1 Xo q ,, O x
0 z 5LNC~~Q0~yo a - 00V CM MNo - VqN0 C) .jJ NNNN0ommo~o
to- @00 No 00f?-V000OCD --- 0 00 0
I- -0 a .0~ ~ 00000000000000-----NNWOVW-00N
w ~ ~~~~ Isl *ii WONO0womwooiWiX
it i 00NOOONO0- C
0 a0 0 (0 I 0 00 0 C)00 0 D ~ 0q D-C1D- Wr-C - .0I c0o~'~
0 0 z - 0 q 00)-Cl N~ 0 VON CON-00I-W0
N a- IL 00q000o OWNWq ou i-
a N NN N - - -00N 1 D- - 000 0 0* -,c *N 0 0000000000000000-0- C.)Ii
0 0 0 0 ;c *0 e i0 ;6 'C "6C 0 00
0D 0 1 U.
0 Z Z c-rq0 W OI0 1- 0000000000 q000 al a. OI00V~wD0N)0-
0 zw 40000000000000000000 O
.J~D 00000000000000000
a- 0 00 .~.0-N~ V .- .- 0.-Jx1- ~ A 9L 6Nic;Ni * ; 00 06 N 60 0 0 0. U-1 ;0 ,Oo ~,0
U 67
IL Za I
3 o~-o o-O ow~u oio
0 w N' (4
4 zzDo
W 40 0 ZI0000000000.--
* 00
0 Z 0MONN000~-vowN000.wvoN-o *wM)-~oW*~WNeosce-NOO --
o ;C iC iC ;C C; ..i @ O-0 6 0(b t
0 o 0 L4
0 z 4a. ONOOMOZ I- ~ 0000000000000000--.---.o.-- MM
w-w urNV .. ,nw. 31111.11,1g I-c oVOg00 -O~o N o a---
wr 0 aow:*m r. C 0 mWVwwr-Nr0 oNVW-wwqwW
0000000000000000 0000--, 0
w 0 D
-~ CACNYKN - OOOOOOO OOOOo OO 00
( 0 684
II
*10
N 4
'40 0
L 0 h0
C* 00
0
I- w
N Q) S OW K
M~ *j 0NS
S Z : rs 000z 0.to.<.
001 woo0
C. 4 w- .w U) w w W to-0 0
U) >- to W
J6
L4
:1;-I0
RN 00 w - a N N v 00 w. . . . .
Ow 000000 *N0.v;
L Z .0 000000- z
0 ;
40 4 3 w..,---.-.-00000000(0 0 monomovoc--U)WNMOON
ir 0 C) 0000--w-.------.-00000-0 a -. . . . . . . . . . .
I- 0 X- 0000000000000000000
z Z L- A.. NICIDONVOCIONa 34J;- w~ 3 40IC1~ O~~-gq - --- :-000006C;C;c0* 0000C (
- 0~C Z 4NNO-NOW- 0won-r- 40 iaiII.aN W - I- -rO-NWOmM)OOOOMOV w
0 Z N 0 - N NW N 0 N 000
w wN v 00CDN CD CD 0 0 0 -0If) v C
(0 0 .. ~00---NN c ) qN v. I- 00000000000000000
w C; ; C 6 , 0 C;6 ; 0 0,0* , 0 C
Ir --~-- 00000004-----~oa <~ j00000000000003000
-~~0 --- QN~-w~ g)r..)m)-V0 U . . . . . . . . ...
---.- 0000000000.-. 00400000000000600w 0 w~2s~ a i e sIl4 MO) WO )O000
0 C 0 O ~ -c - IL --------C)C (~- 0 -C
I- UC. O OO00 0000 0070
00
0 0) to 0 VO-0 0 0
4c 0 . O)0 '0~ 0 W-)~~1- 4001 a 0in t*C ) NOQaIf V 1) 0
NW Ir. toW . *. ..... .. .CCN N.ii00000 .W
0 ~ ~ ~ ~ ~ N VO N C; 0 C0 ; 0 0; ; 0;a:
z it! M)C)N00e0%(.4 W 4 N )0)i-i0@t-~.QCa W 4C
I -ID *t X
4c 600000000000000009-,-- <
*0 0 Z ON---)0C0~0)
I- ~ ~ ~ ~ ~ ~ ~ ~ oo 00 O0)-0CV)O 0-1CNf000-N-0;
2 I A. vqOwDq0w'qNvOOwC)-wof ON ------ 00o . .- 000-woV M)UsSOM,-,N 0 -
4 * I C000000000000000--.--6 C ci I~ W
NW W w IL
£0 0 1. VVb- m v- o0 N a IL
W) - -- 0 0))W) 0 0,6 (0 0
N 0-0000000000000000000 U emmaimii
z z C
< 14 0000000000000000000 V NN :) ~ £ e-K-C.1o 0 0 (D (A CYOID OOO VON00OO a VN 0 0 C.) V N£D0 N0C)Vor
X -Dowri--eo~e s I 00000000000000I0 0. 00000 000 0000000- 00C) 0,0,0*0,0,0,0,0,0,0000,
IL C
0 7
CLZ VO-~~ 0'~V0N a VIMA Q~QQq
0 (4 OM000 00VOMOO-. 00-o 0
W -0
w N 0.0.
zw *r
- OC - 3 - wV0
- 0
I..0 0
0 0 (4 VON-00-NOVOOWNNOMOO0---
z I~ S 0000000000000---X 0 1114ses 111sea 111116111s, I
4.a 0.0
0 0 0 k44 0<
4 1 0 IN- :)I-.40 4) 1-WOe00Oe')g)UNVN)0'rOO 0000 44
0 z 4 OW; 0WNO1-) 0-000V-f'-NfOM0 - 0x OW O0N'q00wWwwWMWO1-(4 WW
0 K . . . . . . . . . . . . . . ZZ(4 0 00000000000000000000 ------ WWL
N C.) Il il $ 0 C.))
z
(D LL t- C
0 ~ C O 0 00000MONOO-ON00M00Q0000 00K% ---- 000000 0 0 0 0 0 0 0 0 0 0 0
IN-~ 00000000000000000000000000 0
U) 0 00
0 It
II
.4.
w4 04o 00O
I-V)
0 0 0 00
W 0000rr X;.JWW;0 ~ ( ~ 0 0
-~a C) IL NN
V CC
o- .0 to
4'~ - -1
-0 C.)C.)
0 0
C) - - :
wr x c-4 4on bJ -- i
) w o -coQ
-. 0 w bW'U 0 OK
IL.I- 'q C')73
'Al
~~000
0 OMOJ00 0 o
on'NAOON~o
VQVNQIwVVm
N Y 00 Q - 4 o
ON00io we "N
0 C' 4 0~ - 0 0 0 0 P ID a o.-
* ~~~ ~ I I- 00 0DL~'orw 4a Z (O--Cao-rOwp o _Oo
.A9 - ON N m amowvwAtAA
it0 0 00 ------------- 000~I~~ .......................... ....2 T 0000000000000000000 - NOOWOMOO
'10 0
(0 00 @Q-1 0..-)0q 0 ' aaQN00 q(w 0 3, 4 ---- .-- oooooo 6oo
*~ - Z 0~O W 0Ic~reN W nO~~ W~%~C
0 0O 000 NON~-- -- -- -00 I-0- <h -1 0000000000 0 N 0 Q (Dz~
W. w0 0 x * .
re O ----00000000000
- 0 00000000000000000,,a,,,
w X Wo0000000-00-00W0 ZIZ N *00000-0SWU qCV-00 4
a; _Al VV - OW 0 0 0-; _
----- ~ ~ 00 0 00 0.-- 00000000000000K)N 0 4c 00000000000000000w , w . YC YC . )'
(0000 000 0000000000
IL a.~I- I-- O OO o o oo--. --------00 000 o
0 --
IL Z aNS
0 0 0s1w " m
U0
4 0 km J~0%t
i No V N 0Ia V -,o0 V0 ) 040 IN 0 .J t 4ii 6c C C 0 w
0~~ N< *eM00Nr .00000@0UO a
0~~( Z 000600ONW0 0' 0 j W( o -o~m w
W I-
Z ILN N~ C 1 D 0N0
C;a C; C;C ;C .iC ; ;60
W0 :) -t)6)U
w z 0;;M00U)V)C'J06* 0 W IL 41 06NO0O0I-I. - -00a CJ6 0lUN - 0 V 0* 0, 0-N e 0,N 0 0 ~J00000000q)Ct0000 0N 0V0-0Ir(U
I N '- ) 0'.O - ))D W6 c; a.0 iC ;C *6ci6C ;c ,0 i0
0 0 -r -- -0O--N W06-.- VO .
W j ?0000o0000000~~ C-D D W ~ ommw
0 0 0 0 0 0 0000 no 00I 0I 0 ( COD - 00OD00ID0Ix V' X to-owm~mVo~w~ 0 0 00-'tQNU)6N000
N ;: Or- 00000000000000 ) Sa~h~IIi
(.) CL0000000000000000000 IL W 60 ,0 ,0 ,0 *0 ,0
0--Z
m IL N ' N U #)NC (DD~t-'0 00) 0)0 0 " (- 000000 000000
0 75
L0
a.0 z ooeerONOV O SDq0N~ 0 DVO - 0~D 0..O *U 0 LJS~NQ
a -0)O V' e~ m ~ ~ etoa
0 q
w 00a 0PNt-000 "-V -~~r0l-N -
_AJ NN 0 D 0:NY V W V ')~
~~ 0.
W .D -* 0& 0 J W V0it o- O O* - 0 0 I
0 0 0-~I.
W W WN L- W V--N ~ 0CJ~
0 z 41 -00 N N C,0OD OVt qrCYDDl.-O0 W YC)* 1- 0 OWN (yr- W(004osewK'qN0 NGWVNOO 0 x
N a 00 0 0 0 00 0 0 0 0 WW
N V asam I 09)
-~ ON0r 0 L. 0 -
v x 0 -0C~q~~0 0 ONIt v0-ND0-0N-OW0NN.-0ON1'N000 ;-
* 0 z 0 *- N N -0D-W OL NW 0
X 1-- OO0000000000000000000 0000 0 0
'U (A 'U Do
Co W
a' 76
ILIN
40 0IJ0
4, 0
to 00 l
0
It 0toC YY
*V 0w~ "i0L 0 0
A ~ 0000
0 D-N
o Y w al
w ~
N 0) -) (
(0 o(*70 DC
0 1' V)-0z ama 0 'C
w' .0 0
Z 0) OC w
IL)
0 7700~
4K
w ! nN. l ,z N
0 N Nw w wo o
B 4cVN NVO0aN
ILl.1 .v
'IL
ft 000N N N - 0
Ix 0
0 CC
4K I-
d 0 Z -0NN~ w~.. e --N 00Q00000000000000c
z Z.
-. z w 4(0000000000000000
wC U) w
0~ 78
IL Z
0A 0 a o0~~EU
N V0 k 0DD)U.~U 4i r' l--'-C-000000
Cd x 000 NNNNN NON"-bE
aN 0 W 0 N O1W (- N0 CD vovmN OON .N 0 0),0
30 0000--NNOMVV)Dt~. pWaswNN~sI L . . .-
D 0000000000000000000 4
I- U. j U)N0v 0NID00rqED0N
a~~ ~ ~ ~ 0. f V~wOm~o
IK x 0-00000000000000---. W-) W
-000o 0 0 0)0.I
0 z Z C0 N 0
w 0) ( 0) k". It) qq 40)N N- - - 0 0 ---- -000N U I 0000000000000000000 0 11U8111
0 zw 0000000000000000000 0:0t20wNwVOW~N w 00()O vo
I- C .. 000000 0000000 0000000
(. IL iC '0 *0 0* 6 0' t. C; C; 6 60 000000000 00 0
0) >- 0)
IL 0
A 79
IL Z N
44V
.on
0000.e4w V
o V.
0 (
zzz a: .NDNON cc.)a~ - C ~ N
W (j
0 a) O 0 0 00r0 0 0 0 00v0 '0
to~'
-0
a00 0 0O0~w t.r .
4.' 00 0 IL
wa 0 I- D -
0 Z ( NNOOU0NO-0V)NN ww"VNO a S1000
N 0 0IL ww
0 0( 0 000i ;,0" i; ;6i ;0 Zw Z
N 00.44 0
It0 2 LL
E~ ~ OWN ON OO00W000N000000000000 0
E1 i 0000000000000000000000000 00 000 000 00000
I0 >0
C. ----- N NN N N 0 0' 4-
0s
ILI
00
9 00
4!(0W 0 Wf K Z
0 ( D% -000 C
I0 N 04c0 0 0o0
W 4 -0.84 000
00 U-to*1C w . .
toW
00
C)Z cc 04r* W 4 --
*~~ 0 Q~ I
w ) K) Lo (0V) to
0 081 )
V0
-40
~-0
-KI)0 4m mw w o
CC
N 0 (
0
W U)l NO OWv w0 ~~ 00--- *.--0)4DYi NN N- U0O-O(U0
x~ 0 r.O U) 0e.w~ro w 0 xI)r l( q(Dr Da 14: 0-bNO 0 U)b-.C
0 U) Z Cd OVO-00-Oo 0040b) ZQ 0 w
wU -
K I- B
N~ ,-00000000000000000
z X -QqOWQO fON(OONOWONO Z
k4 0 000-0 00CVCVd(OV--0 -
W ---- 0000000000--- < 000000000000000
wU) 4
4c 0 "C-- ~ ~ '~ )0 N J-- - -
L C a
C)C ) )V)0 " -w~co~)~~w-r-'
N C)I- O OOOO OOOO OO82
Ce) z m *NOqv N wNO00-0
N0
w 1.. 0 wOI.v (D ONDM)DWNoY OO N NN N -0N- -0-M- - w 0D
ov 0l sop)0n-,oQr%0M)U
0 1.- Z e.- IOow'0tDo- W"NW U) OW 0OWM ONW 0 j
0 - N -00 0- NVOVVNO W 4N C Y 0 0 ONN 'W-w--. v ~ v Xi nI 77 "
~0 Z M *P-N000"VNON
m X 0 NONO-r.qO '0ONq00qqON Wr X a
w 0 000-NVWOO-N OV 00II))UU 681611
o a oooocoooooo coC
1 z z
It - C .. 00000U)D-"w00
~~I t'- 0N W.:Urq W% 0, 03.0
N 0 1- 000000000000000-0-- -0
-00 ii 00
ND U Ww .wO 0 I- OOOO -000000 0 D 0VONO -0 z Z A400000c,0000000000Oa- -
-Z000000N000000
1- 0 IL 0 000 0 0 00000000000000000~ill~
0V4
U 8
L m
C;!0 0 W
zz
o wo 0.
'I j nn
w 4
-. 0
z S
I- w C1 - -0bU0(O) 0 0- 5 WC 0 0 00L A 4c)K
N W I W LJ
-0 0 0
N I 2 w 0
*~ 0 0
2: 0 ' 0 IL 000-0 W U~ 0-t-6 IJ4 a : N VI *U)0 QN-CY0oN0104 0W)t(0CN00 U)6r-e- 0 q I-I-
0 C O0000000000000000000000000- 00J
- 4K
C ~~ -WWN NO O0000000 00000000n 00-
4 84
.I3
to 0w a0 NO
'Doo
* 0
m 0000
oN 0 V'
0
0 It
we~ o 4(%C)C0~~ z 0 0 OX
r 0( <X ;: o(o w
Sw -- o
o0 85.
II
4%;
4%0
.40
0NIN. 0 0 0 N ODI O 0 900
0 Z WW0040WO
W( 0 0 W r, (AIW 0 4 z0 v O 0 (
m 0) 01N kOVW
N ~ w 011U N Z~e--U)0~
zl IDWOO~;N 0 N (0
I .-- 0000000000006666 wa 0O-000000
x .C0 0N--0'Q0UNO
a0) -i O WUNU)0-'0tOWVN
0 0 Z mN0NQNMVNMONUw~wON0 0N 0 4 NO.---00O00NO0N000W
o to -Z N If) k1 000000000000000000,( o W ':( 0 f)4
N 0 00000V)Wt'000O00000000q
w 0,C i6C , ;0 - - 4_j 0)~0000000000000I- W w '--0-0.0-000000000
0~~~0 --- NNqqCN0CNNW-- -
0 0L 0- 00 ,0 *0 0 ,0 *0 *
I-I - -) - - -0 - - -0 -O-
-C - - - - - -0Nw- -
l0 8JUU~0W-00 O-~
0 * I
w C)0 N OO0;t w4
o -K
Ow W 'wv-.0000000*~~~~ 3C Xwe o~- - ~
W a NW 00 0 j
0 - N Yto 144 F.ON W 4D NOM to - " - - o
IL .. .4
J. 0 01 0 051 0 )0C ; ;,6(iC; ; 60-c; ; ; 4
00 z'0~~~~~ 000-- NNO 00000 C)ISI SS ,IS ,
4 0N00000N0N0N0000000a0
3z W
o 0 0 to IL V W D1 0 )
I- 0 0 D00 ~ - - ~ C - 0 t - 0 N
I I 00 000O.@WOf-IOM 1110 II8_j If0D9 f q00C - .: 0-0 a@-~ji 0 N
-~~~~~~~~~ .. . . . .........................N 0 0000000000000000000 IN
-0 z)0 I 0 .
0 Z It 4
<- ) -00000000000 0D M4 OVN rnN 0 z w 0000000000000000000 on0 aaaeleaa
w 00000000000000000000
(L I I- 0, 4 i 0 0,0,0, 0 io iC ;0 00000 00000000
IL C0 000000000000l 010-N000- W 00000000IL CW
CO 87
set of vectors which would produce the same circulation as the actual blade
taking into account the change in streamline radius and meridional velocity.
The difference between the deviation angle implied by the data match calculations
and the reference deviation angle was then added to the reference deviation
angle calculated from the modified Carter's Rule for the Phase I blade.
Phase I Rotor deviation angles are shown on Figure 23. A plot of departure
angles for each streamsurface section is shown in Figure 24. Once the intra-
blade work distribution was chosen these departure angles were required to
satisfy the desired incidence angles, deviation angles, and passage area ratios.
The resulting streamsurface tip section of the Phase I rotor is compared to
that of the baseline rotor in Figure 25. The "deviation angle minus reference
deviation angle" for the Phase I rotor wes kept essentially the same as the data
match analysis although there are some small differences. Figure 26 shows the
"delta deviation" compared to the data match of the baseline design.
If the performance of a new rotor design is to be accurately evaluated
by comparing overall stage performance with the baseline design then it is
important that the stator have nearly the same entering conditions in both
cases. Figure 27 shows a comparison of the Phase I stator incidence angles
with the data match base. As can be seen the differences are small.
Figure 28 shows the radial distribution of Phase I rotor throat margin
and compares it to the data match case. The throat margin for a streamsurface
blade section is defined here as the percent of excess throat area over and
above the minimum theoretical area required to pass the streamtube flow at a
throat Mach number of 1.0 and assuming a total pressure loss equivalent to a
normal shock at the upstream Mach number. In a rotor the effect of radius change
(between the leading edge and throat) on the relative total enthalpy and pressure
is included. As can be seen in Figure 27 the Phase I rotor throat margin is
nearly identical to that of the data match of the baseline design.
Details of the Phase I rotor design are given in Section VIII.
F:4
LIY C f )P, la( f v > YV 01 qbolaa4;o '.i M) 0 1
C;J .!OrI.o101 A A 0
" MOW
Mo a
0 N0000-
0 . . . . . . . . . . . . .D 00000000000000"
*z Ix j oe-e j;.v-or.)1
- CL aaOaaaaaaa a f O ON009 W0 NO 0N*L
- 0 ~0-N
0 0 0 00O0N NO MOONqq0C)00x OONVO
0 Ci 0 IL..4N W w 0
a0 1 IL0ix) -j (.( 0YI
0 4K VC)e -)C~,N4Cr4NDOto 0 c; 0,0 I ; 0, C;C * 'C)0C; 0 .; )Q0M0, 0 zwz
iN ;)aa a i.)
a Z IXO
E - Z -00 0 00 0 00 0000000)0tOC~W~ O 0 00I- I-
d COW C 00) >04 4
L 0 W
L. ----- N N CCC0(C))) q -
88
""L
.4.i-I0.40
0~0
w v;0 X
0 00
0400
WV)0 JW 'V
0 000
o4 00 00
- w
a 0 *
* I-I-IL 0
NW 0 l
0 0 0IJ * - -
0 (aI-ito0GoUV) >- 04
Q) 40L
N 0 89
ILN
ICI0
I0
0
0w i
4V
ir IL 9)NW0 O OW0)1 01o z I-,0 )0 ,- C 00-00-V WOO- VO
to001 C) Z
N W4 W ~ ~ -ls~i0 -
N4 a 00000000000000000
0e -0----WW00000000000J--- <- 00000000
o 1-- 0
I- ~ I -~ -- - - - -OO O-OC -O-OO-
L-- - - -4
(0 90 IJ* 1
FI
IL
N
C);
N N w0q00
9! NU) ON M.-- -0N'0S- 0 0 2 1..-00000000000w v o0 w 0
0 N WONOI@UO'- . . . . .N N N --- o-- $o'-Nono WO X
4c0 4c ~ 0- I O 00 0o, W<N-v< mov
'3 00000000-OOVO0 - Z OQoNS-NSU-owOUoo~eom Q&ca -~o0 )CU4N04OQ0N00I C) .jj U)U)OON-000QIO.4
w NNOU N N w 4c ..............0- 0lqc'-VN.0Nlwt COON WOO to v--------00000
D 0 000 --- NNNNN--ssss's~I .................
0000000000000000000 4ooi o ,,,, o , o ,s , o mo
z z
re 0It.0)0N~0I. CK - NVN01Ifl00. 0 4 wo~ 0 000MONi.1'.onvoww
X O0 We 0-j -000-NOVOONNO010'-eNO1 0.
. . ......... .. ...... 4 "I 0000000000000000-0- 9-N W
0 U 0 0 I
0 ~4 0~4 'VOW00000MON0 2 z 4 -0DUNWO-
N a CLqo)~e'rw)O )0N-0~t
C O C - o- -- 00N . I- 0000000000000000000 0 0
al . . . . . . . . . . . . . . . . . . . .. . . . . . .
i w 0000000000000000000 I0 0
4(0 C IL
z Z U)@00CDo~omwoI- w 4 0000000000000000000 N. :)W--N~.~
a C 2 h 4 00000CJ00000000000U00 0m 0 0 @DqO-r.Cr x N~oe)4D~oU)Q-'V~owoQNv~t. WU) 000- -N00'vU)WoNt
X - I-WD--0000 C - 00000000000000hi - C)..............................I.. . .. .. .
V- I) a000000000000000000 00 00000000000000
CL
9©9
L z
II
UDo
* 09L.. 0w'0 B. Z
00
0 Zz
0 00
w .JJ
hi 00 4K0 O 00 O 0000-----.
a- r- I W4K Ir j
0 0- 0 i 0, ; ;C 0* 0, 0 0 ;00 0 V eo '-- C ; ;z
0 0 000-- 00~q00 N-..
i* I.. Ni.J0 C. 0 0.4Z Xi am .
0 N -- IDW I 040~~t Z0 IN N o No00r'S N0w4-f- )M 0-
0 0 ~000000000000000000000000.--.. 00
N) C) cc01 15
4c 0xhL a W
I - - - - --
00 92
II
'1;
,1020
00
:1 0 mI- cc I)
W 0q 0 qq0K 0 o DN~C WO) 0 W~
'*1V 0 0 -000o*r 4( 00000
0 0:.0 C
W ODWWcr ~ 0 0-i
o0 40000.4 w 000
0 ss
0 ~W U
w0 0:
0 < .wD0 00
: 4 om 0 0o0 w0n
;: 0 0 ILJ 0w ~ ~ U to w -)tomQ
to - U a:
0 0 93@ C
12*
7+;;
00
0 Z
W~ j Q
0...........4 0000000000000000000
o si'oo as .. NVSIN-N Z ) t Q 0- -W
00 0 :)V)0N .-. 00I E I- X
00 to0 4 Ia 0 )0I!0N-W..o Z
N 0 a 0-0oJ0vw00nCOucgww.=000 0009 0 000 0 0000 00W 660660060
4O~OOVW~VN ZZ
IL ~ VON00 OO-q0V-~0Kwo~~.ooo3 ----- oooo
- ~~~ -1 00N00N000000E0000000Nq0 z w 4( 0000000000000000
x 0 -4D--Q0Ww)CwOOMk'
0 - 0 IL o000C *C;. ;60 0 0, 0, rr',Q 0*w., 0 w
.7 ~ ~ 9 I -~0 ) ~ 0O -U - -00-0-0-0-0-0-ZL a
CL - - -4 - -A.- -.- OO~o ooo ooo--.- 4 . 00 0000 000094
0 L)
W 6A.V0 WN X
0 z -~~P)'~0Q 4( 000000000w I- w V)0 r-0 0 -YI 9) (Y D a
0 z SL W"00 00Y-PQ00 ;WAO
0 0 J ID b) 9) NW 0 .Y (Y 0 0
n 000 --- C WtNNNN-'- 0 ssaa *saaL I . .
o 0c000c0000000o00000zz :~ : I ??0000000000!! 1I
~~~~~000 000 N WO 0 0 0 0 00 0 OVON
0 Go06c ;6c *0 iC
0 V) to () a
0( z z ww uo-ooowo)
to a) 000--------.00000000o 0 I gasa*N 0 --- 00000000000000 C)
0
0 z-zZ0: --- ON-0-0moInow- < j 0000000000000000000 n --- OGQWCDCwwowo
V 0 Z hi ( 00000000000000000000 ON- 0 0- oQK-Uwo0I.0a
a- !rCow A 0000000000000- Do 00000000000000
U) U) wQ)
0 95
ILZ0
NoON0w
1 4 1 1 1 1 , 1
0 t
0 W<
000. OVON00SIDQW-@DW0G0V0U~ "" :N * p ~ .
66 0 ..J 666) 66 666666
0 Z
0 0000000 000NO00000000'-0000-.
39 I r a. IL
0 0 0 &N W J C )L-0.- QO N-~ O u
W C! - q 0 N-0 ) M C0 V)(Dr(o 0m0 0 MM0 000-NN 000 OON-0 WW
0 0 a 0 C; 0 aaa, C;saga;0 , ;c ; *C, 0ss almaN ~ 11 1 4 1 0.0* I- W
N~~ OD 0r 40 0 L- 0 (aI
0 z (0 0 VN~-VM0WqS-OQ-00--r 0 006000M)O)---- 000a0)--oV0 ..
E r 00000000---0000000000-* ww
N Q) Is, a 00
CO NOI- QqID N 4 - O O Nw o W
(~ 0 L,. 06
II
ww
00 0 0
000W 44NN
0) _gU) S
41 (0000be...
0 0 000
a 0 I- I
z 0 i
0
0 0 (
q z to 4c
4' - 0 Or
It 00 W -D4(Wl0l - x - a q c0
00 Z N 0 0 I.- -
> W- It
IL a
O 97
L
*tV 4 i
N0
I 0 0
0 owe)0 w *00v ig 0000 -.
N N V-.No0 ----- N qN ,,Zoo-°o ,.,0 ~ ~~~ Z -0NNU-0o~0e DMVNMt. N
N! "o V W ........ 0000 00oN oo0
3 V6 N ON.-0 0 r-f)VV""N. .0
z~~ 00000000000000000000
N O V OOOOOOOO
W Z . 0 00 ~ , N
it 0 ( 00 Zt-W'qqOYNN--0
CO 00qN00 000000 4 J 0000000000000000z z L- OONVVMW
V -I -P- W Cb-l')W qOVN W -- --- 000000000000000 V0OCtW001
V 0 o Z N 0ONO)O-OOOOOOO
0 . . . . . .... . . . . . . . . . . . .0 Z NOOOOOOOOO
0 .< I-0 ZN --- 0 Nro-w V $to - 4 W- 0 0 U V 0
0 300000
N q' 00000000000000---DW i 0' i '; ;; C* 6 6 a 00-
x NIflQ00OOO0Nq-qC,(000Z
Z) V .. . . . . . . . . . . . . . . . . .
----~ ~ ~ .00000004 00000000000000000 0 z6111 1411 wi 4c 0000W0K0 000000000
Ng)N0NU)N00OMWO-q1- 000 ---- NNN0O0V
0 I- . . . . . . . . . . . . . . . . .
IL0
98
*14
0 *~A 0 O... ...V! 9 0 0 0)(000~000000
0 N O
Z V 00 V W~ QQ'c ~C'S0 I-Z USD WN0-
W .4 --jC'e ) % ' w .. . . .. . .0 - Q)0~ ~ - C T- ...-- ???0?00 O000O- ------ v- -OO-w~ al.aa as
E I- BI-
1- -
0 0 Z D 0'.II. ti
C9 w4 j 0-0wOWVVW-CD0q
0 0 00 ts D ) )0N -w X X'.)CJCC.C WaN I 0
Z IL 0000000006600000- I6600
IxJ _j cyi O0 (v wb(P4w O 0.
0 $ o 0 (L
4')C U00i0Ovwm0v(D
w C! X - -f~wmooomowonw0 I~ 0 ~ qC 0NN0M)0t-NCJq0 B @V0V00N-OQN t-
1-. 0 0 "ow wovwC ve m 0
N C) -- .--------.------- 0000 U)mmmmmmm
-w oo~~o0oo0o0 w
o -z zm<.. C 0000000000000000000 (D :) --- OMW0Cl'q'-VT
0 z 0000 00 0 0000000000 0 an) 0 -- 0C000000D000E - - ~ D-~0Q~b~0 O I-00000000000000
w 0 wi0
C) 99
IL
IIA"10
0 94 CIL~v
to~ 0000000000000000000000000o 00:
OK 000P1100
it~0- N V0 N00 NONOW-090O j
* 0 0. 0000--ou~-~0O00
W m
0 0 0 Ib0 0 3
0 Z wo040 r,0 0-4
7110 000000000000 0040-NN-000-.ah WWN U 0 0-W-~N0Nw~~~
Z ~ ~ ~ ~ ~ ~ ~ ~ f INDOOOOOOOOoooo~o4-3 W 0.0
-0 0 0 440 0 to 0 o
1.- 00 ------------------ 000 0~s~ 00*;0 *0 0, 0, 0. N 0 q 0r.-0, 6c;cic;0 ,0, ooo ;cic 0 00 W
0 100 z
:t!u
'I N0
A.Y
N
00
0 0 0000
0000
*I I IxaSZ -000
S w 4c0a4 z o
j XOOO0 0 0000 J0000
N W
- 0Nw 0 Y4
D 0!
0 Z 4
0 C) (aI- w
0o i01
N
Z N 04C x- 0 a:L04
W~: xi 0
(0 0 4c
00 V
______________ rs.,rzcr
AC
'I0
"10
I0
0NX 000
w j
.. .- . . . . .
Z (wvow- OVNOwN
o z I - CN *1WM_j IT vqW0Cy( 0 0C Nt DI q
0 ZU M N 00 1 - W S(Q -00 0 I-Z C 0-4( 0 ~NVW Z ~CJ0CC~-)0
to~~t - (Y OV ) ) 0 rO r-W 0) ) 0 0
N o 1- 00000000000000----(0 (DF'.W f~P0-0NM)0V-v~
w 00---N< j 0C)0C00t00000000
;:00 ---'-o 0w w-'qwoooZ 0 .- * .0- ) -' t. *'"*O
SIL 00 0000000000000-N )
xt CL -------- 0~ M rs,
o 102
a.________ Z, 0) 01N( N0001( 0V
4N
Ic
)0
I0
00 ~ 0 * 0 0WKNm0
W 0 0 wA0~~~~~ -MON N woNP~)N@V@-0~
I zwooew-o-Ovwo0 a" 0W0OIw<0
Z Noz -oooNeeaQ~w"Nw~oo 0NONveW .J 0 -- N- VIVVO.QOI(DQ W .0 - 0--oo1000:0 @K)0-wW) 0 -i -- C; C-- 00
n U) 0000000000000000000j
0~ 0 2 0100-OwNoomoI
0 40*00NOMM00100
Z IL -r-q0(mo0Q--'QoNVlNS0 - ON--00-N0oDr-t%.0@ a
I-0 0 0 0 0 0 000 C;I ;c ;C ;C ( i666666 - 0 ww-0(3 (fl to mQ0 I
( W w J w IL
0 z
0E t-0 (Y (Y ID 000 N4 1O 0 0. N 0 (0)NW-M -O(YWItC- 0 O~-W00 0 01WN 0 000OWDt C 4c
N U I- ----- ~---~.--------- 0 Umi.mmii
w 4c j 0000000000000000000 v
0 z 0000000000000000000 00 0 -N-N0'-
C!DII - 5- -r-0000@00 0 QV 0000000000000w W - C) ....
0 >-
103
*1
'1w0 #4 WNN -- - 0 O0 0 0 O 0- -0 0 1'IqW00
9 000000O000000000000000OCC00 00
?????????0000000000000I
a 9- win- -
0) 0J (0 01-0 0--N D00C DV)I. 00000000000000000000000000 (
4K V -, ii i i i,,a ,
0 Z (
* W - 000.--If- NoNN OWNowwom.vC0 0 LA ... .~ .N .. . ~ Q .)~~ . bJW.. . . *6 6
(0 I- 0000000000000000000000-.- Jw .)- Wx
0z 0L
N 0 L0-- WK - I- N--V~ -000-.O----000m0
- Wi-
W V)W 00 * 9(0 ) 0 )
A. 00 -~0--- --- -- --- --N D - 00 0 WW
A. - NN N NN N 00~(~,q .
II
I0
a0 0
(i ON20 0
000
L C0 0'1 0o 0- 0
0~ -It ( ID -P 0
z00- 00
z z0 0
0
LL) 0)4Z 0 N D x
q zK V)41
N zi 0 )0 o
0 Z .)0 4c
U * Y w- -
0
I 0 a
00
0 ' 105Wo
'OttL~n C. .fl~
.
A0w v.....
0 I*01O) 0N NIWN N I
0 10 Z
Z ) ( ov v-W000INNN --
It a 0 00 - N - WINW000 0000 .(
z a
za OWt)OM)1K)I-N00 0
0 OWN0NMOCNOW)VI
0 0 z-aIN~~ W -00000000000000-0
00 0C)N00...................
0 C) 0O-.--NNNU--- 0('))00(N Z
I- Z - I 000000000000000 0 C00000%0U0.-'NC)1Io o w I- ( I)QNNOofm w 0 0
a: C a j 4 ', C N O 0 D
IM 0000 < j 0000000000.-000000It - NON-0-WOON0NOo0woo-0
C) Z: 1. 000 - - - - N N N N 0 0 V (w 0 hi
"e s "0 (L 0 00 ;6C *666 ,0 ,60 ,0
to CL ---------- 0O~--
-K a. -D0 0 ~ C -~~- --.--
0 1 J 'CN0( V)- 0 C')D'0 .
00
0 W0 0
0~~~ 000000it 0000ONMM0
N W w 0oq~ ~ 00 N 00S0 000 0 0 0!( 11 4 1 14 1
zc z 000 0 K -C
2 0 z -0 W0 ~- ~ ~ 0 000W0NNNVNOW
C) 0 0 .JJ C;NV-00N0IO0 ~ 0 MVN0(b 0~ -W) W.N 0DV nV O 1
0 0 0 000 Gto0000I00L
0 00OO O0000000000000
0 Z x*~~~C ZNW 0 O"em 00u)vNe-V00
z I 0.0,-00~00r q.- V~Nc (O I D 000 000 000N V - -. - -
4 j 0000000000000000000 N-
Do04 000000000000.w0 m- - .. . .C . . .
4L a
w IL IL ~q ~ N - ----
ZU 107
4
IL O
'Io:0
0 ONNOV000M
0 ---- Noo0
0 0Nl NNOMeoAMOOOM wo 3
3t 00NOOVN0 B&I-
w ZZ
z 0
0 0J ON qON00 O0~P~%
z 00000000000000000000000000 4
000 L A(
I- * ZI--
O X 0 000000 wo -NNNN NNO-0'NMMm
-1 00 10 1gg gi 0g e Cg000 YW l q f 4 e o
N C.) 0
z0 Z w
0 e0 (00400-l( (D (A 0-o0((D NqP. --a r-0 N 0Ou WW0(Pq C)VI- N 4 CYL ZZ Yo 0-qi)0M0NNNN0
0 0 000000000000000 o-ft 0 N, lm 0 ~,, 00 0 N N V N N .
- IIl
10
II
14C
V! C
CY 0 Z
; 0:
0 00 If)1N~i 0ai (1) ZO
0 -
z' 000L0
o 0 oK- Z 000
w C
N 0000
0 ZY w
w 0 N UV0 Z 040 0
x 0 0w - xC 0:<4
-0 a) N0 --
C) to w oU
(L 0 0
0 l10
ILO0i0 0
V;0;f;V;f
W oow OON
WOOVNNIu
N ,iii0
N
0 ~000000 - --- ~
0 -W 8W000~~0NOC
00 0 000 cc0000 000
IU * w0ICW100-(U0wo
a 0000000W-000Wx 000000WV000000
It - UOV0(WNO- I
- -
(L WU 000o00(w00nNWJE
0 0000000000000z
11
