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: r :^ r. 



Supplement to 

NASA 

Technical 

Paper 

3132 - $*i*^ 



April 1992 




Comparison of a Two-Dimensional 
Adaptive-Wall Technique With 
Analytical Wall Interference 
Correction Techniques 



Raymond E. Mineck 



(NASA-TP-3132-Suppl ) COMPARISON OF 
A TWO-DIMENSIONAL ADAPT I VE-WALL 
TFCHNIQUE WITH ANALYTICAL WALL 
INTERFERENCE CORRECTION TECHNIQUES 
(NASA) 73 p 



N93-70224 



Unci as 



Z9/02 0117081 



+ « 



Supplement to 

NASA 

Technical 

Paper 

3132 

1992 



Comparison of a Two-Dimensional 
Adaptive-Wall Technique With 
Analytical Wall Interference 
Correction Techniques 



Raymond E. Mineck 
Langley Research Center 
Hampton, Virginia 



NASA 

National Aeronautics and 
Space Administration 

Office of Management 

Scientific and Technical 
Information Program 



Introduction 

A two-dimensional airfoil model has been tested 
in the adaptive-wall test section of the Langlcy 
0.3-Meter Transonic Cryogenic Tunnel (0.3-m TCT) 
and in the ventilated test section of the Two- 
Dimensional High Reynolds Number Facility 
(HRNF) at the National Aeronautical Establishment 
(NAE) in Canada. The primary goal of the tests 
was to compare two different techniques to account 
for wall interference: adaptive test section walls and 
classical analytical corrections. Tests were conducted 
over a Mach number range from 0.3 to 0.8 at chord 
Reynolds numbers of 10 x 10 f \ 15 x 10 6 , and 20 x 10 6 . 
The angle of attack was varied from about —2° up 
to stall. This supplement presents comparisons of 
the published or baseline chordwise pressure distri- 
butions from the 0.3-m TCT and the HRNF. 



Symbols 



Op 
c 

c n 

Moo 

Re 



pressure coefficient 

model chord, in. 

section normal-force coefficient 

free-stream Mach number 

free-stream Reynolds number based 
on model chord 

chordwise position, measured aft 
from the leading edge, in. 

spanwise position, measured from 
tunnel ccnterlinc, in. 

normal position, measured from 
airfoil reference line, in. 

geometric angle of attack, deg 



Model 

The model used in these tests has a 9-in. chord 
and a CAST 10-2/DOA 2 airfoil section. This early 



supercritical airfoil section is nominally 12 percent 
thick and has a design lift coefficient of about 0.6 at 
a Mach number of 0.765. A sketch of the airfoil shape 
is presented in the top of figure 1 . The model chord 
is defined as the line passing through the center of 
the leading and trailing edges. This line is rotated 
0.88° nose up relative to the reference line used to 
define the airfoil shape. For these tests, the angle of 
attack is referenced to the model chord line, not the 
airfoil reference line. 

The model has 45 static pressure orifices in a 
chordwise row on the upper surface and 23 in a 
chordwise row 7 on the lower surface. A sketch of 
the orifice layout is shown in figure 1. The orifices 
are staggered about the model centerline to minimize 
interference on the neighboring orifices. The orifice 
diameter is 0.014 in. for all orifices except those 
on the forward 22 percent of the airfoil, where the 
diameter is 0.010 in. The smaller diameter orifices 
will reduce any orifice size effects where the pressure 
gradients could be large. 

Presentation of Results 

The following chart lists the figures that present 
the comparisons of the results at the same nominal 
normal- force coefficient, Mach number, and Reynolds 
number: 



A/oc 


Figure 


number for R c of 


10 x 10 6 


15 x 10 fi 


20 x 10 G 


0.600 






13 


.700 






14 


.730 


2 


8 


15 


.750 


3 


9 


16 


.765 


4 


10 


17 


.780 


5 


11 


18 


.790 


6 






.800 


7 


12 


19 




0.30-1 



;?0 + 0+ O O+O O O+O C+O 0+ C O O+ |0 



o a 



* o + o o+o o o+o o o+ o +o o +o o o _^ +o a 

r + + ' 



0.30 -J 



15.00 



Figure 1. Layout of pressure orifice locations. All dimensions are in inches. Open symbols denote upper 
surface; "+" denotes lower surface. 





-1.8 








































Tunnel 


M. 


a.deg c„ 




-1.6 

-1.4 

-1.2 

-1.0 

-.8 

-.6 

-.4 














TCT 
P HRNF 


.73C 
.73C 


) 1.6C 
) 1.37 


.57 
.52 








































































































°p 
























































\~. — ®~~ 


©OR 














-.2 












Tp\ 




















Jg 

























Ss'S' 






















S Ji) 


























j$r 
























L rj/© 
























.2 

.4 






















L _ f 




C©3? 






















] 
























.6 


> 
















































< 
1.0 


) 

























I 












































f 
1 r> 


\ 























.1 .2 .3 .4 .5 .6 .7 .8 .9 1.0 

X 

c 



(a) c n % 0.54. 
Figure 2. Comparison of chordwise pressure distributions for R c = 10 x 10 6 and A/^ = 0.730. 



-2-0 



-1.8 



-1.0 



Tunnel M„ a.deg c„ 
O TCT .730 2.49 .76 
a HRNF .730 2.25 .70 




(b) c n « 0.73. 
Figure 2. Continued. 



-2.0 



-1.8 



-1.6 



-1.4 



-1.2 



-1.0 



-.8 



C P -" 



.2 



.6 



1.0, 



1.2 



































Tunnel M„ a.deg c„ 
n TPT 771 T 74 90 














□ HRNF .729 3.15 .85 






r ^HH 


3-D-D-C^ 


T\ 








































































o 




















h 








Q 












\ 




A 


^ 


F^ 


% 


X 










* 


S* 








^ 


^N 


^»„ 






w 


















[] F 


















) 
\ 




































i 





















.1 .2 .3 .4 .5 .6 .7 .8 .9 1.0 

X 

c 



(c) en « 0.87. 
Figure 2. Concluded. 



-d-U 


























-1.8 
-1.6 
















Tunnel 


M t 


a.deg c„ 
















.75z -^.UD -.UJ 


-1.4 
-1.2 
-1.0 














□ HRNF 


.751 -1.96 -.02 






































































-.8 


)_ 
























] 
























-.6 
-.4 
-.2 


























! 


i m. 






















p 















5w 





.2 


_f 





















.6 
.8 










































1.0 

I 
1 P 






















1 "1 




. 


.j 


> .* 


) a 


1 .E 


; .£ 




1 


.£ 


• S 


1.0 



X 

c 



(a) c n « -0.02. 
Figure 3. Comparison of chordwise pressure distributions for R c = 10 x 10 6 and M x = 0.752. 







































Tunnel 


M. 


or.deg c n 


-1.6 
-1.1 














O TC T 


751 


-1 25 


> .10 














□ HFtt 


•JF 


.75; 


> -1.14 


t .11 


1.2 


4 























-.8 






















-6 


) 








— 
















] 






















-.4 
-.2 
























®P 












































.4 






































































} 






















10 f 
























1 

1 























.3 .4 .5 

X 

c 

(b) Cn « 0.10. 
Figure 3. Continued. 



1.0 



-2.0 



-1.8 



-1.6 



-1.4 



-1.2 



-1.0 



-.6 



c -- 14 



.4 



1.0 



1.2 



































Tunnel M„ a.deg c n 
O TCT .753 -.36 .25 
a HRNF .752 -.29 .25 






























































































) T 























































































































































1 





















.1 .2 



.5 .6 

c 



.7 .8 .3 1.0 



(c) Cn « 0.25. 
Figure 3. Continued. 





-z.u 
-1.8 








































Tunnel 


M„ a. dec 


c„ 




-1.6 
-1.4 














O TCT 
a HRNF 


.750 .49 
.751 .57 


.39 
.39 










































-1.2 

-1.0 

-.8 






































































-.6 
























C P 


-.4 
-.2 


































j| 







\ J 










^F© 
























.2 
.4 
.6 


)i 




















| _\ ! 


























i 






















.8 

i.n< 


) 














































( 

























.3 



.5 
X 

c 



.7 .8 .9 1.0 



(d) c„ « 0.39. 
Figure 3. Continued. 



-2.0 



-1.8 



-1.6 



-1.4 



-1.2 



-1-0 — - 



-.8 



-.6 



c -- 1 * 



-.2 



.6 



1.0 



1.2 



































Tunnel M_ a.deg c„ 
O TCT .751 1.28 .54 
□ HRNF .750 1.36 .54 






















- — 












— 


































































































































"S 


^ 


\- m-3 


1 




















i 




















> 






































> 





















.1 .2 -3 



.8 .9 1.0 



X 

c 



(c) c» « 0.54. 
Figure 3. Continued. 



10 



-2.0 



-1.8 



-1.6 



-1.4 



-1.2 



-1.0 



c p -' 



.6 



1.0 



1.2 







































Tunnel M„ a.deg c„ 
O TCT .751 2.14 .73 
d HRNF .750 2.23 .71 


































































































































•^-~%S~ 


























































f M 












































1 










































I 


1 





















.1 .2 .3 .4 .5 .6 .7 .8 .9 1.0 

X 

c 



(f) c n « 0.72. 
Figure 3. Continued. 



11 



y.u 






















1 -8 














Tunnel M„ 


a.deg c 


1.6 














O TCT 753 3 1 1 


.81 














D HRNF .74£ 


3.18 .80 


1 .4 






















1 .2 

1.0 


- £b- 





















-.8 














-— — 








-.6 






















-.4 






















-•'£ 






















U 


\ 




















.2 

.4 












— .. 










.8 


) 




















1 .0 






















( 


1 





















"0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1-0 

X 



(g) c n » 0.80. 
Figure 3. Concluded. 



12 



K-U 


























1.6 














Tunnel 


M. 


or, cleg 


-.05 
















O TCT 


.766 


-2.11 


















D HRNF 


.766 


-1.97 


-.03 






© 
















































1.0 


























- — 




-.8 


) 


s^ 



















— 











-.6 


3 




. 


























-A 

-.2 



.2 




]r 






















A 
.6 
.8 































i 


1 




























1 


1 






















U2 ( 






i 


2 


3 


4 


5 


6 


7 




8 




8 


1 






X 

c 



(a) en « -0.04. 
Figure 4. Comparison of chordwise pressure distributions for R c = 10 x 10 6 and M^ = 0.766. 



13 





-1.8 




































Tunnel 


M„ a.deg 


c„ 




-1.6 














o TCT 


.766 -1.18 


.11 


















-1.4 














d HR 


NF 


.76 


7 -1.14 


.11 




-1.2 

-1-0 


iJ 






















-.6 










y^ J±^t 




















) 
























C P 


-.4 


] 












































-.2 

.2 


STqB 












X 


^ 


N 


>S 


N 


N^ 




.4 
.6 
■ B 


3 





























1.0< 

I 

1 o 

















































.1 .2 



.5 .6 

X 

c 



.1 .8 .3 1.0 



(b) C„«0.11. 
Figure 4. Continued. 



14 



1.8 













- 
















Tunnel 


M„ a.deg 


c„ 


1.6 

1.4 
1.2 
1.0 














O TCT 

a HRNF 


.766 -.37 
.767 -.30 


25 














.25 
























-.8 
-.6 

-.4 




P£fc< 


"^S^ 




^ — ©^ 







-— 










A f 






















] Ufjfr 



























i®^ 
























.2 

.4 
.6 












■ 






























.8 


















— - 











( 


i 





















.1 



.3 



.5 
X 

c 



.6 .7 .8 .9 1.0 



(c) Cn « 0.25. 
Figure 4. Continued. 



15 



-d-U 

-1.8 








































Tunnel 


M. 


a,deg 


c„ 


-1.6 














o TCT 


.766 .49 


.41 












-1.4 














d HRt 


MF 


.76( 


5 .5 


5 


.39 


-1-2 
-1.0 









_ 














-.8 


-- - 








- -- - 


- _J 











-.6 






















-.4 






















-•2 
























TLjiJ/ 


























.P© 
























.2 
.4 


— _. 

























.6 
.8 


] 






















1.01 


l 




-- 


— 


















( 


) 

























.3 .4 



.5 
X 

c 



.7 .8 .3 1.0 



(d) c n « 0.40. 
Figure 4. Continued. 



16 



-2.0 



-1.8 



-1.6 



-1.4 



-1.2 



-1.0 



-.8 



S -* 



-.2 



.2 



.4 



1.0 



1.2 



































Tunnel M_ a.deg c n 
O TCT .766 1.26 .57 
a HRNF .766 1.33 : 56 








































^ 















































































































ft By 














N 


^ 


*- <*L / 






















? 








































» 




















i 



















.5 

c 



1.0 



(e) c n « 0.56. 
Figure 4. Continued. 



17 





-tr.u 
-1.8 








































Tunnel 


M. 


a.deg c„ 




-1-6 














O TCT 


.766 1.69 .66 


















-1.4 




-■ - - 










D HRh 


JF 


.76f 


> 1.7£ 


J .64 




-1.2 

-1.0 

-.8 







































































C P 


































^- — B-^, 
















-.2 











J 


j>-^ 


X 






.3 










>ty 
















] 






















■ 2 

.4 
.6 


i BfO 






















L___ 




- 


















.8, 


r 













, 










1 .0 
( 


) 





















.1 .2 



.8 .9 1.0 



X 

c 



(f) c„, « 0.65. 
Figure 4. Continued. 



18 



-2.0 



-l.B 



-1.6 



-l.t 



-1.2 



-1.0 



-,8 



-.6 



-.4 



.4 



.8 



1.0 



1.2 



































Tunnel M„ a.deg c„ 
O TCT .767 2.16 .70 
a HRNF .765 2.24 .69 




















































— p * 





















.... 
























J 


__\ 












F 












































Cjj-f) 


























„. 














> 






































) 





















"0 .1 .2 .3 .4 .5 .6 .7 .8 .3 1.0 

X 

c 



(g) c„, « 0.70. 
Figure 4. Concluded. 



19 



-2.0 




(a) c n ss -0.04. 
Figure 5. Comparison of chordwise pressure distributions for R c = 10 x 10 6 and M^ = 0.781. 



20 





-2.0 ■ 
-1.8 














Tunnel 


M« 


a.deg c„ 


















O TCT 


7R4 


^ -1.2S 


> .10 




-1.4 














a hrc 


JF 


.782 


. -1.12 


. .10 




-1.2 


























-1.0 


1 
























cj— ■ 
































/'"^ 
















-.6 










//^^®\ 








































) 






















C P 


-.4 


T 














































-.2 

.2 


uferi 
























.4 
.6 
.8 


J 
























i n< 


























1 


1 





















.1 .2 



.4 



.5 
X 

c 



.8 .9 1.0 



(b) CnWO.10. 
Figure 5. Continued. 



21 



-1.8 


































Tunnel 


M. 


a.deg c n 


-1.6 















O TCT 


.782 -.37 .25 










-1.4 














D HRNF 


.782 -.27 .24 


1.2 
1.0 
-.8 





















■- 

























-.6 










C^ — ®o> 














) p 




















■ 2 


.2 


njmf 














X 


^ 


) ~~g-~S t 


.4 
.6 
.8 


J 
























1.0 
( 


1 





















.3 .4 



.5 
X 

c 



.8 .8 1.0 



(c) cn « 0.25. 
Figure 5. Continued. 



22 





-1.8 


























-1.6 














Tunnel 


M_ 


a.deg c n 
















TCT 


.782 


.46 


.41 




-1.4 














D HRNF 


.781 


.57 


.40 




























-1.2 

-1.0 

-.8 




























































3^¥— 








C P 


-.6 
-.4 





























/S 


T 


@t\_ 














-.2 






^ 


w 




t+K 








^ 










pQi) 














































L_— £3 




.4 














































.6 
.8 


p 























1.0, 


5 

























( 


) 























-1 .2 -3 



.5 .6 

X 

c 



.8 



1.0 



(d) c n m 0.40. 
Figure 5. Continued. 



23 





-z.u 
-1.8 
-1-6 















Tunnel 
TCT 
o HRNF 


.782 
.78C 


a.deg c„ 
1.23 .57 
1.36 .54 
















-1 .4 
























-1 -2 

-1.0 

-.8 
























~3 


T 








■ 














-.6 






















s 


-.4 

-.2 












r^- — ©--> 




































.2 
























.4 


1 






















•6 
























■ 8 


























1 
1.0 


J 
















































f 


) 























.3 



.5 
C 



(e) c n ss 0.55. 
Figure 5. Concluded. 



t.O 



24 



1.8 


































Tunnel 


.791 


o.deg c„ 
-2.07 -.05 
















O ICI 


\.i 















a HRN 


r 


.791 


-1.94 


-.04 


1.2 

1.0 
















— - 


- - — 


.. . . 


-.8 


) | 





, 




yW 


g* 


ri i 


i 








1 u 




























©\ 












-.2 

.2 
























.4 
.6 
.8 


1 





















- 


i 


1 






















,- "( 


• 


1 


2 


3 


4 


5 


B 


7 


. 


8 


9 1. 



(a) Cn « -0.04. 
Figure 6. Comparison of chordwise pressure distributions for R c = 10 x 10 6 and Moo = 0.791. 



25 



-a-u 
-1.8 






































Tunnel 


M- 


a.deg c„ 
















O TCT 


79? 


-1.24 


.10 


-1 .6 














d HRNF 


.791 


-1.12 


.10 


-1 .4 






















-1 .2 
-1.0 










' — 














-.8 









_ 




. 










-•6 
-.4 


><> 




















} 


*{_!©' 






















raJ®/W 
























^©o 






















-■2 






















.2 

.4 


/ 






















.6 


s 












— — J 










■ 8 


J 






















i.oi 


:_. .„ 












, 




























( 

1 


1 























.1 .2 .3 .4 .5 .6 .7 .8 .9 1.0 

c 



(b) c n « 0.10. 
Figure 6. Continued. 



26 



-2.0 



-1.8 



-1.6 



-1.4 



-1.2 



-1.0 



-.2 



.2 



.8 



1.0 



1.2 



































Tunnel M. a.deg c„ 
O TCT .791 -.36 .26 
a HRNF .792 -.28 .24 



































































































F 


{/■ — ©A 












M y «f 






'j©' 















],Ub^ 





















































































































1 





















.1 .2 



.4 



.5 
X 



.8 .8 1.0 



(c) c n ss 0.25. 
Figure 6. Continued. 



27 





-1.8 




































Tunnel 


M. 


a.deg c„ 




-1.6 














O TCT 


.792 .47 .43 
.791 .93 .45 
















n HRNF 




-1.4 


■ ■ 

























-1.2 
-1.0 














=efl — 








C P 


-.8 

-.6 

-.4 

-.2 




m 








/\^ — ©. 


f 


— V 




















*Q\ 












WgK ©, 














































.2 
.4 






















trffl-— 8v> 















— 












.6 


> 
























.6 
l.Oj 


















































] 




















1.2' 


\ 























.5 
X 

c 



.6 .7 .B .9 1.0 



(d) Cn « 0.44. 
Figure 6. Continued. 



28 



-2.0 



-1.8 



-1.6 



-1.4 



-1.2 



-1.0 



-.8 



-.6 



.8 



1.0 



1-2 



































Tunnel M, a.deg c„ 
O TCT .794 1.22 .51 
D HRNF .790 1.39 .49 






























■ 




































































s^ -JS) 




V 












~^ 


/ 


y °- 






































































1 









































1 


















) 





















-6 .7 



1.0 



X 

c 



(e) c„ « 0.50. 
Figure 6. Concluded. 



29 



-2.0 




1.0 



(a) c n w -0.05. 
Figure 7. Comparison of chordwise pressure distributions for R c = 10 x 10 6 and M x — 0.802. 



30 











































Tunnel 


M_ 


a.deg c n 


















O TCT 

□ HRNF 


.802 
.801 


-1.29 .07 ■ 
-1.11 .09 




-1.4 


























-1.2 

-1.0 

-.8 



























-.6 


















4 


- — 





°p 




) 






















-.2 


1 1 Jf 


















- — 





.2 

.4 
.6 - 










— — 









- -- 








.8 

l.of 

1 
1.2 1 


3 
























.1 



.5 
X 

c 



.8 .9 1.0 



(b) c n « 0.08. 
Figure 7. Continued. 



31 



-2.0 



-1.8 



-1.6 



-1.4 



-1.2 



-1.0 



-.8 



C P - 4 



-.2 



.2 



1.0 



1.2 







— 


























Tunnel M„ a.deg c„ 
O TCT .802 -.37 .23 
a HRNF .801 -.28 .22 








































































i 




















I , 










if 




















\ 


\ 








3 aPy 










\ 


^ 




























.. — _ 






















































J 




















(1 























.6 I — 



.8 



.3 



.7 



.8 .9 1.0 



X 

c 



(c) c„ « 0.23. 
Figure 7. Continued. 



32 



1.8 










































1.6 














Tunnel 


M. 


a.dec 


c„ 














O TCT 


.803 


.49 


.39 


1.4 
1.2 
1.0 














a HRNF 


.801 


.96 


.40 
































































-.8 
-.6 






























jqjj*"" 






















y^"~®0 














-.4 












c?k 












-.2 




lr — 




^^-— 









^*5 -■■- 









1IF 






















.2 

.4 









— 




, 










'"~~©H@ 


.6 


> 























.8 
























1.0, 

< 


i 
5 






















t 

1 9 

























.3 .4 



.5 

c 



.6 



.8 .8 1.0 



(d) c„ « 0.39. 
Figure 7. Continued. 



33 



-y.u 






















-1 -8 




































Tunnel M„ 


a.dec 


c„ 
















O TCT 

a HRN 


804 


1 30 


47 


-1 .6 














F .801 


1.43 


.44 


-1 .4 






















-1 .2 
-1.0 
























-.8 


. 


.eSr 


















-.6 










/\^-®^ 


©\ 










-.4 








gk 


















'>±J 






V. 








-.2 














X 


s 


*=>*= 


■*y 


.2 









— - 











^S^ 


\=&j& 


.4 






















.6 


» 


— - 


_. _ ._ 
















.8 













_ — 











1 .o' 


) 





















.3 



1.0 



X 

c 



(e) en « 0.45. 
Figure 7. Continued. 



34 



l.B 
l.B 


































Tunnel 


M. a.deg c n 
.805 2.28 .51 








"' _-1 O IUI 














1 n HRNF 


.800 2.89 .48 


1.4 
1.2 
1.0 
-.8 
-.6 









































p — 




















-.4 










/>^^^- 


ft0v 












-.2 








j% - 




ft 













.2 


di & 


w 














^Sfc| 


j--fiK® 


.4 


) 


























.6 


] 


• — 






















.8 

1 

( 
1.0 


i 
> 






— 

















> 























.5 
X 



.6 .7 .8 



1.0 



(f) C n « 0.50. 
Figure 7. Continued. 



35 



-2.0 




1.0 



(g) Cn « 0.52. 

Figure 7. Concluded. 



36 



-1.8 
-1.6 


































Tunnel 
O TCT 


.731 


a,deg c n 
.44 .40 




























a HRNF 


.731 


.56 


.40 


1.4 
1.2 


























1.0 
-.8 
-.6 

-.4 
















— ■ — 







-.2 












- 




































i 






















.6 
























.8 

1 


\ 

























« 





















.1 .2 .3 .4 .5 .6 .7 

X 

c 



.8 .3 1.0 



(a) c n » 0.40. 
Figure 8. Comparison of chordwisc pressure distributions for R c = 15 x 10 and Mqq = 0.731. 



37 



-1.8 
























-1.6 














Tunnel 


M„ a.deq c„ 














TCT 


.730 1.22 


.OJ 


-1.4 

-1.2 

-1.0 

-.8 

-.6 














o HRNF 


.730 1.37 


.53 


















































































-.4 

-.2 


















V 


\ 


V 


.2 

.4 


















TS 


^ 


H*> 


.6 


> 
) 






































-—- 






1.0 
f 


r 




















) 





















.5 

c 



.8 .9 1.0 



(b) c n k 0.53. 
Figure 8. Concluded. 



38 



-1.8 
-1.6 










— ._ 


.. _ _ 


Tunnel 


M. 


a.deg c„ 














O TCT 


.750 1.21 


.57 


-1.4 

-1.2 

-1.0 

-.8 
















D HRf 


JF 


.750 1.34 


.56 


-.6 
-.4 
-.2 




1/ 


r* 


^ 


^ 


^* 


% 


\ 






- — 





, t 


W 3 


















.6 


& 






















.8 

( 


I 











— - 


__ _ 






— 


1 .2*- 























• 1 .2 



.4 



.5 
X 

c 



.7 .8 .9 1.0 



Figure 9. Comparison of chordwisc pressure distributions for R c = 15 x 10 6 , M x , — 0.750, and c„ ss 0.5G. 



39 





-2.0 r 
-1.8 - 
-1.6 - 
-1.4 
-1.2 
-1.0 
-.8 
-.6 
-.4 
-.2 

.2 
.4 
.6 

.8 

( 

l.Q 

! 




































Tunnel M,. 
O TCT .765 
Q HRNF .766 


a, dec 
1.24 
1.31 


.59 
.58 













































































- 




























— 








U P 








F 


C-"* — ®~^ 


















'J® 
























































1 








- 


































5 





































"0 .1 .2 .3 .4 -5 .6 .7 .8 .9 1.0 

X 



Figure 10. Comparison of chordwise pressure distributions for R c — 15 x 10 6 , M x — 0.765, and c n « 0.58. 



40 



-d.U 
























-1.8 
-1.6 














Tunnel 


M„ a.deg c n 
.780 -.42 .27 














O TCT 
















D HRNF 


.782 -.30 .27 


-1.4 























i 


-1.2 
-1.0 













.... 






— 









-.a 

-.6 










i^ — ®v 





\ 










-.4 































ff) 












-.2 

















— 








1 ' Jpt 

















.2 

.4 


7© 























































----- — 








.8 

1.0 

I 

1 .? 












- 




— - — 





























.4 .5 .6 .7 .8 .9 1.0 

X 



(a) c n « 0.27. 
Figure 11. Comparison of chordwise pressure distributions for R c = 15 x 10 6 and M^ — 0.781. 



41 



1.8 


































Tunnel 


M. 


a.deg c n 


1.6 














O TCT 
d HRNF 


.780 LIS 
.780 1.81 


.59 
.59 














1.4 
1.2 
1.0 












































-.8 
-.6 
-.4 
-.2 


1 ■- 










r^^"®^. 




~i 













1 ££• 




_ 


















.2 

• 4 






















\ — Q— ^> 


i 


















^ ""®— (F 


! 






















.6 


) 
i 
























.8 

I 
< 


1 
) 





~ 




. — 















1.0 
i 
























I 





















.1 .2 .3 .4 .5 .6 .7 .8 .9 1.0 

X 

c 

(b) cn « 0.59. 
Figure 11. Concluded. 



42 





-1.8 

-1.6 

-1.4 

-1.2 

-1.0 

-.8 

-.6 

-.4 

-.2 



.2 

■ <i 

.6 

.8 

1.0, 
t 

1 .9 




































Tunnel M„ a.deg 
O TCT .800 .48 
a HRNF .801 .95 


.40 
.40 



































































3K>°-r 










.__ 

















G P 










/^-^m 


§a 


* 








L^ 


— - - 









V 


*^ 




























__. 








^#5*L 




































] 

) 
































































.1 .2 .3 



.5 .6 

X 

c 



.8 .9 1.0 



(a) c n « 0.40. 
Figure 12. Comparison of chordwise pressure distributions for R c = 15 x 10 6 and A/oc = 0.801. 



43 



-2.0 




1.0 



(b) en « 0.47. 
Figure 12. Concluded. 



44 



-2.0 




1.0 



(a) en « -0.01. 
Figure 13. Comparison of chordwise pressure distributions for R c — 20 x 10° and A/<x, — 0.601. 



45 



-2.0 



-1.8 



-1.6 



-1.4 



Tunnel M„, a.deg c n 
O TCT .601 -1.22 .12 
d HRNF .602 -1.15 .12 




X_ 

c 



(b) c n « 0.12. 
Figure 13. Continued. 



46 





-1.8 
-1.6 
















Tunn 


i\ M. 


a, dec 


I c n 
















O TCT .GUI -.4U 


.23 




-1.4 
-1.2 
-1 .0 












... 


D HRN 


F .601 


-.30 


.24 


s 


-.8 
-.6 

-.4 

-.2 






















_ . 


A H 














\ 


\ 




n/ a- 














" N, 


\ 






.2 
.4 
.6 
.8 
l.OJ 

1 


p 
















^M 


*""*<#» 




1 






















3 























.3 .4 .5 

X 

c 

(c) cn « 0.23. 
Figure 13. Continued. 



.6 .7 .B 



1.0 



47 




9 1.0 



X 

c 



(d) Cn « 0.46. 
Figure 13. Concluded. 



48 



-y.u 
























-1.6 


h 

[1 













Tunnel M_ a.deg c n 
O TCT .700 -2.02 0.00 
□ HRNF .702 -1.99 0.00 































































1.0 


] 


















-.6 
























^-.ffl 














- 


— 






p/ 























































^si* 








































- — 




tf 






















•9 


) 


















— — 




i 






















1-u l 




1 


2 


3 


4 


5 


5 


7 


3 


3 1. 






X 

c 



(a) Cn « 0.00. 
Figure 14. Comparison of chordwise pressure distributions for R c — 20 x 10 6 and M^, = 0.701. 



49 





-2.0 

-1.8 

-1.6 

-1.4 

-1.2 

-1.0 

-.6 

-.6 

-.1 

-.2 



.2 

A 

.6 

.8 

1.0 
i 




































Tunnel M„ 
O TCT .700 
□ HRNF .701 


a, dec 
-.37 
-.31 


.26 
.25 







































































































C P 
































"s— 
































— 










- - — 








































j 









































1 





















.3 



.5 .6 

X 

c 



.8 .3 1-0 



(b) c n « 0.26. 
Figure 14. Continued. 



50 



1.8 


































Tunnel 


M. a.deg c„ 


1.6 














O TCT 


700 1 36 53 














d HRNF 


.701 1.38 .51 


1.4 
























1.2. 




— 




















1.0 

























-.8 
-.6 




3^ 



















-.4 
-.2 


.2 








- 


C^- — (t>-~. 


©^ra 




















\Js 




































h@^ 




















.4 
























! 






















.6 

I 
























) 






















.8 
1.0 












































5 





















.1 



.5 
X 

c 



.7 .8 



1.0 



(c) Cn « 0.52. 
Figure 14. Concluded. 



51 



-2.0 



-1.2 



-1.0 




1.0 



(a) c„ « -0.01. 
Figure 15. Comparison of chordwise pressure distributions for R c = 20 x 10 6 and M x = 0.731. 



52 



-2.0 



-1.8 



-1.6 



-1.4 



-1.2 



-1.0 



-.2 



.4 



.8 



1.0 



1.2 



































Tunnel M_ a.deg c„ 
O TCT .731 -.41 .26 
a HRNF .732 -.31 .26 






























































































1 J 




















U i 




















Y® 


































N 


^ 


L T±L^I 










































^ 








































i 





















.5 
X 

c 



.6 



1.0 



(b) c„ w 0.26. 
Figure 15. Continued. 



53 



-2.0 




(c) c n « 0.53. 
Figure 15. Continued. 



54 



-1.8 


































Tunnel 


M« 


a.deg c„ 


-1.6 














O TCT 


.732 3.00 .88 














-1.4 














d HRNF 


.73( 


D 3.16 .88 


-1.2 

■1.0 

-.8 

-.6 

-.4 

-.2 



.2 

.4 
f 

.6 


"T 














\ 











\f 












■ 






. 


— 


.8 


> 
























1 

1 .9 


> 























.4 



.8 .3 1.0 



X 

c 



(d) c n « 0.88. 
Figure 15. Concluded. 



55 



-2.0 



-1.2 



-l.D 




(a) c n « -0.02. 
Figure 16. Comparison of chordwise pressure distributions for R c = 20 x 10 and M^ = 0.751. 



56 



e-u 






















c„ 
















Tunnel 


M. 


a.deq 
















n TrT 


750 41 


26 


1.4 


ft- 













a HRI 


MF 


.75 


2 -2.0 


D 


-.01 


1.2 
























































] 




































i. 




















L [ 


] j 








yS^J^L 
















-.2 


iy j 




j§r~^ 


j§) 






\ 






— 





-© — ~ 










\ 























N 


fc 




— \ 


\ 




.2 

."4 
.6 


















^ 


_^^ 


^H 























.8 
i 


















— 





- 


— 


i n 


p 
























1 01 























.5 
X 
C 



.6 .7 



1.0 



(b) c„«0.12. 
Figure 16. Continued. 



57 





-2.0 

-1.8 

-1.6 

-1.4 

-1.2 

-1.0 

-.8 

-.6 

-.4 

-.2 



.2 

.4 

.6 

.8 

1 

1.0 

I 




--- 










— 






















Tunnel 
O TCT 

a HRNF 


.75C 
.751 


a.deg c„ 
1.36 .60 
1.34 .58 




















- -pj^ 


- 










































n 
























w5^A 


-- 









C P 












— 








A — 





















































- 








I^J-*) 




1 




- — - 




— - - 


























- - 


— 


.__ 














3 
















) 



















.4 .5 .6 

X 

c 



.8 .9 1.0 



(c) c n w 0.59. 
Figure 16. Continued. 



58 





-d-U 
-1.8 















Tunnel 


M. 


a.deg c n 




-1.6 
-1.4 
















7cn o in Tk 
















n HRt 


>JF 


.75C 


) 2.2C 


) .75 




-1.2 

-1.0 

-.8 






































-- = J 










C P 


-.6 
-.4 












































-.2 

.2 
.4 
.6 










t^~--\±^ 


iM+l 
























^Qv 












i J\ 






















fflP 


































































1 
.8 

1.0 


1 






































































! 


J 























.1 .2 .3 .4 .5 .6 .7 .8 .9 1.0 

X 

c 

(d) Cn « 0.75. 
Figure 16. Concluded. 



59 



-2.0 



-1.2 



-1.0 




1.0 



1.2 



(a) c n w -0.02. 
Figure 17. Comparison of chordwise pressure distributions for R c — 20 x 10 6 and M<x, — 0.766. 



60 



-2.0 




c 



(b) c„«0.12. 
Figure 17. Continued. 



61 



-2-0 



-1.8 



-1.6 



-1.4 



-1.2 



-1.0 



-.8 



-.6 



o p - 



.6 



1.0 



1.2 



































Tunne! M_ a.deg c„ 

■ O TCT .766 -.34 .29 

□ HRNF .767 -.32 .27 


















































































yS&Z 


- - — 


























1 d 




















7© 




































"n 


^1 


i T) 
















^-8?* 






















? 




















i 


— 


— 































.3 .4 .5 

X 

c 

(c) Cn % 0.28. 
Figure 17. Continued. 



.8 .9 1-0 



62 



-1.8 


































Tunnel 


m. 


a.deg c n 


-1.6 














O TCT 


.766 1.21 


.58 - 




























□ HRNF 


.766 1.31 


.60 


-1.1 










— — 















-1.2 
-1.0 












LJ r3j 










-.8 
-.6 
-.4 




















































L-- — ©-- 


©^51 












-.2 












«^\- 


















3S f ' 




tt 



























v5o*v 










.2 





















NfcJlF 




1 
I 




















g 






















1 


) 














































f 
1 .? 























.4 



.5 
X 

c 



1.0 



(d) c„, « 0.59. 
Figure 17. Continued. 



63 



-2.0 



-1.8 



-1.6 



-1.1 



-1.2 



-1.0 



-.2 



.6 



1.2 



































Tunnel M„ a.deg c„ 
O TCT .766 2.07 .72 ■ 
n HRNF .765 2.21 .71 


































— J 


























































~s~ — 
























,^ 


P^* 


Sk 














X 


=r 




^ 


K 




\ 


















N 


^©^ 


h-ffl J? 


1/ 


















6M49 






















i 

\ 






































i 





















.1 .2 .3 .4 .5 .6 .7 .8 .9 1.0 

X 

c 



(e) c n « 0.72. 
Figure 17. Concluded. 



64 



-1.8 
-1.6 


































Tunnel 
O TCT 


.779 


a.deq c„ 
-2.04 -.02 




























D HRNF 


.782 


-1.98 -.02 


-1 .4 




















-1.2 
-1.0 











































-.8 

-.6 

-.4 

-.2 




) & 










©\ i 










j 11 


jT"*" 


s*~ 


V 
















T& 












*\ 


^s 


L >^ 


.4 
.6 
3 













































I 
1 .2 


> 




















( 




I 


\ 


3 .i 


1 .1 


; .f 




i 


.£ 


. 


3 l.C 



(a) c„ « -0.02. 
Figure 18. Comparison of chordwise pressure distributions for R c = 20 x 10 6 and M^ = 0.780. 



65 



-2.0 



-1.2 




X 

c 



(b) Cn « 0.13. 
Figure 18. Continued. 



66 



-1.8 


































Tunnel 


M_ 


a.deg c„ 


■1.6 














O TCT 
D HRNF 


.77£ 
.782 


-.44 .28 
-.34 .28 














-1.4 
-1.2 











































-1.0 
-.8 

-.6 






















r-j 





















-.4 

-.2 




h X>rT 













\ 








'Ifey 












\ 








.2 




















X 


k ^« J 


























) 










































( 

1 9 























.3 .4 .5 

X 
C 

(c) c n « 0.28. 

Figure 18. Continued. 



.6 .7 .8 .9 1.0 



67 



<L-\i 


























































Tunnel 


M. 


a.deg c n 
















O TCT 


.781 


.42 


.45 
















1.4 















D HRNF 


.782 


.5C 


.43 


1.2 






















-.8 










































-.4 


— a~~ 





















-.2 












■ 










.2 
.4 


■to 




























































.C 
.8 


p 





















1.0 ( 


j 






















( 


i 























.3 .4 



.5 
X 

c 



.8 



1.0 



(d) c n w 0.44. 
Figure 18. Continued. 



68 



2.0 






















1.8 




































Tunn< 


si M. 


a.deg c„ 
















TCT 


7R1 


1 21 


58 
















□ HRNF .780 


1.32 


.56 


1 .4 






















1 .2 






















1 -0 






















-.8 






















-.6 






















-.2 












r^^^^> 


@Nv 






























.2 
























i 




















.6 

.8 

1 


1 
) 








































) 




















1 .0 






















t 


3 





















.3 -4 .5 

X 

c 

(e) c n « 0.57. 
Figure 18. Continued. 



1-0 



69 



-C'U 

■1.8 


































Tunnel 


M. 


a.deg c n 


■1.6 














O TCT 


.781 


2.12 


.61 














1.4 
1.2 
1.0 
-.8 
-.6 














D HRNF 


.781 


2.31 


.61 


























rO^^ 

















-.4 

-.2 



• 2 













^ 






^11 1 




.4 
.6 

.8; 


) 
1 






























































1.0 
























J 





















.1 .2 .3 .4 -5 .6 .7 .8 .9 1.0 

X 

c 

(f) C n « 0.61. 
Figure 18. Concluded. 



70 



-z.u 
-1.8 














Tunnel 


M- 


a.deg c n 


-1.6 
-1.4 














O TCT 


802 


-1 96 n nn 














D HRN 


F 


.802 


-1.9C 


-.04 


-1.2 
-1.0 






















-.8 


<a 








// 


© \ — 




*4 








-.6 

-.4 

-.2 




) u 






*> A 


(/ 














1 VU 





















.2 
.4 
.6 
■ 8 
















































1.0 
1 •>* 
























1 




















( 




1 


2 


3 


4 


5 


5 


7 


. 


3 


3 1. 



X 

c 



(a) c n « -0.02. 
Figure 19. Comparison of chordwise pressure distributions for R c = 20 x 10 6 and M x ~ 0.802. 



71 



-2-0 






















-1 .8 














Tunnel M„ 
O TCT .801 
D HRNF .802 


a.deg c„ 
-1.19 .12 
-1.15 .11 


-1 -6 














-1 .4 






















-1 .2 






















-1 -0 






















-.8 










M 


©\ 










-.6 


O 
) 




















-.4 


] | gC. 








© \ 










-.2 













































.2 


















.4 






















.6 






















.8 


) 




















1-OE 
[ 




1 








~ 













.1 .2 .3 -4 .5 .6 .7 .8 .9 1-0 

X 



(b) c n «0.11. 
Figure 19. Continued. 



72 



1.8 


































Tunnel 


M. 


ct.deg c n 


1.6 
1.4 
1.2 
1.0 














TCT 


80" 1 


> - 3 C 


> 28 














□ HRNF 


.802 


-.3C 


) .24 















- 









-.8 
-.6 

-.4 


- 










m \ 













nL 
























] jJB/ 















































■ 2 
.4 
.6 





















— ■ 


1.0 

t 

1 

1 .9 


1 
) 






















.3 .4 .5 

X 

c 

(c) c n « 0.26. 
Figure 19. Continued. 



1.0 



73 



-2.0 



-1.8 



-1.6 



-1.4 



-1.2 



-1.0 



--8 



.6 — - 



o p -' 



-.2 



.4 



1.0 



1.2 



























— 








Tunnel M„ a.deg C„ 
O TCT .803 .46 .40 
d HRNF .802 .54 .37 
































— 






































\ 


































































3 


























































I 






































1 
) 





















.4 



.5 .6 

X 

c 



.8 -3 t-0 



(d) c„ « 0.38. 
Figure 19. Continued. 



74 



2-0 






















1 -8 














Tunnel M„ 
O TCT .802 
o HRNF .801 


a.deg 
1.29 
1.41 


.47 
.44 


-1 .6 














-1 -4 






















-1 .2 






















-1 .0 






















-.8 






















-.6 












\ 










-.4 






















-.2 













































.2 






















.4 


} 










. 
































■ 8 


1 




















l.U( 
I 


I 

) 





















^0 .1 -2 .3 .4 -5 .6 .7 

X 



.8 .9 1-0 



(e) c n « 0.46. 
Figure 19. Continued. 



75 





-1.8 
-1.6 














Tunnel 
O TCT 


.802 


a.deg 


c. 
















2.22 .^^ 




-1.4 
-1.2 
-1.0 














a HRNF 


.801 


2.39 .48 















































C P 


-.8 

-.6 

-.4 

-.2 



.2 

.4 

.6 













^S 
















^ 


Y 


\ 


X 


V. 


" "X 


1 


















^ 


^ 


tt* 



























.8 


























1 
1.0 


1 
















































, J 


) 























.3 .4 .5 .6 

X 

c 

(f) c n a 0.50. 
Figure 19. Concluded. 



.7 .8 .3 1.0 



76