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TECHNICAL MEMORANDUM jjK 

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PRESSURE MEASUREMENTS OBTAINED IN FLIGHT AT TRANSONIC 
SPEEDS FOR A CONICALLY CAMBERED DELTA WING 



N65 12688 

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INASA CR OR TMX OR AO NUMBER) 



By Earl R. Keener 



High-Speed Flight Station 
Edwards, Calif. 



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A 



(CATEGORY) 







NATIONAL AERONAUTICS AND SPACE ADMINISTRATION 
WASHINGTON o October 1959 



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NATIONAL AERONAUTICS AND SPACE AHUWISTRATION 



TECHNICAL MEMORANDUM X-kQ 



PRESSUEE MEASUREMENTS OBIAIKED IN FLIGHT AT TRANSONIC 
SPEEDS FOR A CONICALLY CAMBERED DELTA WING* 



By Eaxl R. Keener 



SUMMARY 






\^(o8^ 




Pressure measurements were made in flight over the conically cam- 
bered delta wing of the Convair JF-102A. airplane at Mach numbers up 
to 1.19- Maximum angles of attack tested ranged from 2k^ at a Mach num- 
ber of 0,70 to 9° at 1.19- 

Appreciably large suction pressiores are realized at the leading 
edge of the wing similar in magnitude to the high suction pressures 
experienced by thin, plane, delta wings. The cambered leading edge is 
effective in distributing the low pressures at the leading edge over a 
greater frontal area, thus increasing the leading-edge thrust. The 
conical distribution of camber results in near-elliptic span-load dis- 
tributions at the lower angles of attack; however, a more important 
effect of conical camber (together with the wing fences and reflexed 
tips incorporated by the JF-102A.) is the delay to higher angles of 
attack in the occiorrence of flow separation that normally occurs on a 
plane delta wing. A favorable effect on the pressure drag may also be 
attributed to the delay in flow separation. Although the outboard wing 
fence probably contributes to the delay in flow separation at the tip, 
the pressures indicate that the fence induces flow separation inboard 
of the fence starting near the leading edge at angles of attack of 
about 8^ and extending to the trailing edge as the angle of attack 
increases. 



A wide variation occvirs in the span-load distributions from a near- 
elliptic loading at the lower angles of attack to a near-triangular 
loading at the very high angles of attack tested. In general, the dis- 
tributions are similar to those of a plane wing, although the delay in 
flow separation in the tip region resiilts in slightly larger tip loads. 




Title, Unclassified. 




• • • 



INTRODUCTION 



Theoretically, a suction force is predicted along the leading edge 
of thin wings at subsonic speeds and also at supersonic speeds if the 
leading edge is swept behind the Mach cone. Physical realization of 
the suction force results in an appreciable reduction in drag due to 
lift- Pressure measurements on thin, plane, delta wings have shown that 
a large reduction in pressure, approaching a vacuum, is realized at the 
leading edge (ref. l) . However, drag measurements of such wings have 
shown that the reduced pressiores do not produce the predicted suction 
force because of the small frontal area over which the suction pressures 
are distributed (ref. 2). 

To distribute the low leading-edge pressures over the maximum possi- 
ble frontal area, it was suggested in reference 5 that the leading edge 
be cambered. A theoretical study of leading-edge camber for swept and 
delta wings (ref. k) showed that, in addition to cajnbering the leading 
edge, the span-load distribution must approximate an ellipse to minimize 
the induced drag due to lift. A study of surface shapes that result in 
an elliptic load distribution led to the development of conical camber. 
The amoiint of camber depends on the design Mach number and design lift 
coefficient. Wind-tunnel and flight measurements of airplane drag veri- 
fied that conical camber results in an appreciable reduction of total 
drag at moderate angles of attack (refs. k and 5) • 

To study in detail the effects of conical camber on the pressure 
distribution and span-load distribution of delta wings, pressure measure- 
ments were made in the wind tunnel and in flight. Wind-tunnel pressure 
measurements are available at Mach nimbers up to 1.9 in references 6 
to 8. The flight measurements are presented herein. 

The flight investigation was conducted at the NASA High-Speed Flight 
Station at Edwards, Calif., utilizing the 6.3-percent conically cambered 
delta wing of the Convair <IF-102A airplane. In addition to conical cam- 
ber, the wing also incorporates two fences, a reflexed tip, and an elevon- 
control surface. This paper presents an analysis of the flight measure- 
ments of wing pressures at Mach numbers up to 1.2. Particular emphasis 
is given to the effects of camber on the distribution of the leading- 
edge pressures and the effects of the combination of camber, fences, 
and reflexed tip on the span- load distributions. In addition, the flow- 
separation characteristics, which are not predicted in the theoretical 
development of conical camber, are discussed. Comparison is made with 
the flight measurements of wing pressures reported in reference 1 for 
a plane wing. Tabulated pressure coefficients and integrated aerodynamic 
coefficients for all data points are available upon request from the 
National Aeronautics and Space Administration. 



I« ••• • • • •* •• • ••• • «•« 



k^ 



Cb 



H 

1 


Cm 


1 
6 




*" 




V 


% 




Cp 




^P 




Cp, sonic 




c 



SYl-lBOLS 



b/2 wing semi span 

l3'/2 wing-panel span, spanwise distance frcm first row of ori- 
fices (0.l86b/2) to wing tip 



wing-panel bending-moment coefficient about 0b'/2, 

/ Cn 







Cav "b' b' 



wing-panel pitching-racment coefficient about 0.25c, 



^ Jo ^'(cav) 



'd^ 
b' 



Cn c — ^ >r«^ 
av D 

P - Poo 
surface-pressure coefficient, — 

Pi " Pu 
differential-pressure coefficient, -^^ 

pressure coefficient for a local Mach number of 1 

local wing chord of uncambered section, measiored parallel 
to plane of symmetry 

c mean aerodynamic chord of wing panel, 2/S / c dy' 

-'0 

c average chord of wing panel 

n wing-section pitching-moment coefficient about 0.25c, 



^CP 




Cjj^* wing-section pitching-moment coefficient about line per- 
pendicular to longitudinal axis of airplane, passing 

through 0.25c, c^-h 0.702lfl - ^jc^ 

r 1 



Cj^ wing- section normal- force coefficient. 



^0 



M free- stream Mach number 

p local static pressure 

q free-stream dynamic pressure 

S/2 area of wing panel (outboard of 0b*/2) 

t wing-section maximum thickness 

X chordwise distance rearward of leading edge of local chord 

X chordwise location of center of pressure of wing section, 
lOOfO.25 - ^, percent c 



,(0.35 - ^). 



chordwise location of center of pressure of wing panel from 
leading edge of c, 100(0.25 - -S|, percent c 



y* spanwise distance outboard of Ob'/2 

y_ spanwise location of center of pressure of wing panel, 
lOO(^), percent b72 

z local ordinate of wing section, measured normal to chord 

line of uncajubered section 

a measured airplane angle of attack 

6g elevon position 

Subscripts: 

L left 



I lower surface 

u upper surface 

«> free stream 



nESCRIPTION OF MRPIAME AMD WING PAMEL 



H A three-view drawing presenting the overall dimensions of the 

1 Convair JF-102A airplane is shown in figure 1. Photographs of the air- 
1 plane including several views of the wing showing the leading-edge cam- 
6 ber, fences, and reflexed tip are presented in figure 2. The physical 
characteristics of the airplane and wing panel are given in tahle I. 

A drawing of the wing, including cross-sectional views of the 
leading edge at each orifice station, is shown in figure 3* The delta 
wing has an aspect ratio of 2.08, a taper ratio of 0.023, and zero inci- 
dence, dihedral, and twist. The leading edge is swept "back 60.1*^, and 
V the trailing edge is swept forward 5^. Wing fences, shown in figures 1 
to 5, are located at 0-225bV2 suad O.SOOb'/^. The wing tips are 
reflexed 6^ behind the extended hinge line of the eleven (fig. 3). The 
wing section is an NACA 000^^—65 airfoil modified by leading-edge camber, 
which is distributed conically over the outer 6.5 percent of the local 
semispan (fig. 3); the design lift coefficient at a Mach nimiber of 1.0 
is 0.166. In providing conical camber the local wing chord was extended 
slightly over that for an KACA OOOif-65 airfoil and, as a result, the 
wing-section maximum- thickness ratios are slightly less than k percent. 
The wing-section coordinates are presented in table II for the static- 
pressure-orifice locations. 

The geometric characteristics of the elevon, used for longitudinal 
and lateral control, are included in table I and figure 3* The fuselage 
of the JF-102A is indented according to area-rule considerations for a 
Mach number of 1.0. 

INSTRUMENTATION AND ACCURACY 

Standard NASA instruments were used to record the wing-surface and 
differential pressures, indicated free-stream static and dynamic pres- 
sures, normal acceleration, angle of attack, angle of sideslip, elevon 
^ position, and rolling and pitching angular velocities and accelerations. 
The indicated free- stream static and dynamic pressures were obtained 
from an airspeed head mounted on a nose boom, and the static-pressxnre 
error was determined in flight. Angles of attack and sideslip were 






;* 



measured by vanes mounted on the nose boom, Elevon position was measured 
at the elevon midspan. All instr\aments were correlated by a common timer. 

Flush-type static-pressure orifices installed in the left wing were 
arranged in seven streamwise rows (fig. 3). The orifices were connected 
by tubing through the wing to multicell mechanical manometers in the 
instrument compartment. Surface pressures were measured at orifice 
rows 1^ 3, 5^ and 7, and differential pressures between the lower and 
upper surfaces were measured at orifice rows 2y k, and 6. 

Estimated maximum errors of the pertinent recorded quantities and 
the resulting coefficients are: 



M 



±0.02 



I 



P - Pcx, o^ P^ - Pu^ iVsq ft ±7 I 

^e^^ ^^g ±0.2 £ 

Cp ±0.02 

Cn ±0.02 

^m ±0.006 ^ 

% ±0.03 

Cm ±0.01 



TESTS 



The data presented were obtained from pushovers to angles of attack 
near zero followed by gradual turns to high angles of attack. The data 
cover the Mach number range from O.7 to 1.2 at an altitude of ^4-0^000 feet, 

Reynolds number for these tests varied between 23 x 10^ and 58 x 10^ 
based on the mean aerodynamic chord of the wing. 



DATA REDUCTION 



Longitudinal control of the JF-102A airplane is obtained by means 
of elevons on the wing; therefore, the characteristics of the wing at 
zero elevon deflection could not be obtained throughout the lift range. 
Consequently, data were selected from the tests at flight conditions 
for which the airplane was essentially trimmed at each angle of attack 
(near- zero angular velocity and angular acceleration) . Table III pre- 
sents the Mach number, angle of attack, and elevon deflection for all 
selected data points. For most data points presented, the pressure lag 







• •• 



resulting from tube length was negligible because the data were obtained 
from gradizal maneuvers. Some lag corrections were necessary^ however^ 
for a few of the low- lift data points obtained from the pushovers to 
near- zero angle of attack; these points are indicated in table III. Lag 
corrections were detennined by the method in reference 9 for photographic 
instruments, and the corrections were checked in flight by comparing pres- 
sure measiirements from abrupt and gradual maneuvers. The corrected data 
comprised 11 of the total 69 data points and conqpetred favorably to the 
zero- lag data. 

Automatic digital conrputing equipment was used to obtain pressure 
coefficients from the recorded data and to perform the chordwise and 
spanwise integrations necessary to obtain the normal-force and pitching- 
moment coefficients. Wing-panel coefficients are based on the geometric 
properties of the wing outboard of the first row of orifices (0.l68b*/2). 



RESULTS 



The aerodynamic characteristics of the wing sections are presented 
in figures 4 to 6 in the form of curves of normal-force coefficients, 
pitching-moment coefficients, and chordwise centers of pressure for nomi- 
nal Mach numbers of O.7O, O.9O, 1.02, and I.I9. Figure 7 presents aero- 
dynamic characteristics of the wing panel. These figures are presented 
as basic data, and only the section normal-force characteristics are 
discussed. Chordwise pressure distributions over the upper and lower 
surfaces of the wing at four spanwise stations are presented in figure 8 
in oblique projection. In addition to Mach niomber and angle of attack, 

the pressure coefficients for a local Mach number of l.OfC . ^ 

V p,sonicy 

and the eleven deflection angle are given. The effect of the elevon 
deflection may be noted in the pressure distributions by the abrupt 
changes in pressure at the elevon junction. The pressixre measurements 
are also affected by the outboard fence, by the reflexed tip, and, some- 
what, by the elevon-actuator fairing and the inboard fence (fig. 5). 

Figure 9 is presented to compare the thicknesswise pressure distri- 
bution for an outboatrd section of the cambered wing with that of a simi- 
lar wing section of the plane wing of reference 1. Two angles of attack 
are shown, 7° and 12°, which represent the moderate angle-of -attack 
range . It may be noted that the area under the pressure distribution^ 
is directly proportional to the wing-section pressiore drag. Consequently, 
suction pressures over the forward part of the wing section represent a 
negative drag or suction force. In addition to the pressure distribution 
over the forward part, figure 9 also includes the pressure distribution 
over the rearward part of the upper siorface to show the favorable effect 
of camber on the pressure drag in this region. The pressure coefficients 



8 




are plotted as a function of z/t instead of the usual z/c because 
the maximuni thickness of the plane wing is 6.5-P^^cent chord compared 
to i^-- percent chord for the cambered wing. Although the distributions 
are uncorrected for elevon deflections and some effect of the outboard 
fence is present, a qualitative comparison can still be made. For clar- 
ity, the leading-edge and trailing-edge locations are noted in the figure. 

Figure 10 presents the thicknesswise pressure distributions over 
the forward part of the wing section to show in detail the effects of 
leading-edge camber on the leading-edge pressures. Distributions are 
shown at several angles of attack, and at each angle the pressures at 
four spanwise stations are superimposed. In this manner the effects of 
increasing amounts of camber can be seen more readily. Since sta- 
tion 0.58^b'/2 is located immediately inboard of the outboard fence 
(0.600b*/2), the leading-edge pressures include some of the effect of 
the fence. 

Figure 11 shows a comparison of the wing- section normal-force coeffi- 
cient at three comparable stations for the cambered wing and for the plane 
wing of reference 1 at M ^ 0.70* The span- load distributions for the 
cambered wing are presented in figure 12. Included in the figure are 
the locations of the two wing fences, the end of the elevon, and the 
reflexed tip. Figure 15 shows a comparison of the span- load distri- 
butions with an elliptic-load distribution (with minor axis at 0b'/2, 
which is approximately the wing-body junction) . Figure 1^4- compares the 
span-load distributions for the conically cambered and plane delta wings. 
In this figure the span-load distributions are uncorrected for elevon 
deflection for both the plane and the cambered wing, therefore the com- 
parison is qualitative only. 



DISCUSSION 



.Effect of Camber on Leading-Edge Suction 

Leading-edge pressures .- The chordwise pressure distributions of 
figure 8 show that appreciable suction pressiores are physically realized 
at the leading edge of the conically cambered wing of the JF-102A. The 
suction-pressure peaks at the leading edge are similar to those for the 
plane wing of the XF-92A (ref. l) , For M ^ 1.02 and 1.19, which are 
beyond the range of the data for the plane wing, appreciable suction 
pressures also occiir, although the minimxjm pressure is generally near 
the base of the leading-edge camber rather than at the leading edge as 
for the subsonic Mach numbers . 

Distribution of leading-edge pressures .- The favorable effect of 
leading-edge camber on the distribution of leading-edge pressures may 



2G 




9 



"be seen in figure 9 by conrparing the cambered-wing distributions to the 
plane-wing distributions at similar wing stations and at moderate angles 
of attack. It is apparent that leading-edge camber distributes the suc- 
tion pressures at the leading edge over a greater relative frontal area, 
thus increasing the suction force over that of the uncambered section. 
For clarity, the increased suction force is represented by the shaded 
area between the pressure distributions over the forward part of the 
wing sections. 



H 

1 
1 
6 



From the thicknesswise distributions of figiore 10 for the conically 
cambered wing, the favorable effects of camber are first apparent in the 
distributions at a ^ 6*^. At a ^ 5° and below, the pressures over 
most of the cambered part are greater than ambient, since the angle of 
attack of the leading edge is negative to the free stream. At a ^ 6^ 
the suction pressures are well developed over the leaxiing edge of all 
the stations except the root station, 0b'/2, which has no appreciable 
camber. The tip station, which has the greatest amo\ant of camber, expe- 
riences the most favorable distribution of leading-edge pressures per 
unit chord. The tip- station distributions show that it is possible to 
distribute the suction pressures over a frontal projection more than 
twice the maximum thickness of the airfoil {k percent for the 
JF-102A wing) . At the high angles of attack obtained at M «* 0*70 
and 0.90 the magnitude of the suction pressures at the outboard wing 
sections is reduced as a resxilt of flow separation associated with 
wing- section stall. 



The favorable effects of leading-edge camber appeeur to continue to 
the supersonic speeds tested. At M « 1.02 and I.19 the outboard suction- 
pressure coefficients at angles of attack between 6° and 9^ (figs. 10(c) 
and (d)) are closer to a vacuxom than for M ^ O.7O and a == 9-0^ 
(fig. 10(a)). However, it should be mentioned that the angle of attack 
for cruise of most aircraft is generally below 3*^ at supersonic Mach 
numbers where, for the JF-102A wing, the effects of camber are not bene- 
ficial (figs. 10(c) and (d)). It was noted in reference 2 that benefits 
of both camber and twist on drag measurements diminish with increasing 
Mach nuinber, becoming negligible when the Mach number component normal 
to the leading edge exceeded about 0.7* For the JF-102A airplane this 
is equivalent to a free-stream Mach number of 1.^4-, slightly higher than 
the range of the present investigation - 



From the pressure distributions of figure 9 it would appear advan- 
tageous to camber the inboard sections of the wing also, even though the 
span-load distributions might not be elliptic. However, in this respect 
the results of reference 10 are of interest; drag reductions were 
obtained for swept wings by increasing the leading-edge radius . Essen- 
tially all the drag reduction was obtained by increasing the leading- 
edge radius at the outboard stations, which indicates that cambering 
the inboard leading edge would, similarly, have little effect on the 







10 

drag. In fact, figures 8 and 10 show that it may even be detrimental 
to camber the inboard sections because leading-edge suction does not 
become appreciable at these sections until higher angles of attack are 
reached. As a result, the leading-edge pressures at the inboard sections 
probably would be greater than ambient pressure at the moderate angles 
of attack at which leading-edge suction is desired; thus the drag would 
be increased. 

Flow-Separation Characteristics 

Leading- edge- separation vortex .- For thin wings with low aspect 
ratios and highly swept leading edges, the flow over the leading edge H 

characteristically rolls up into a vortex, referred to as the leading- ]_ 

edge- separation vortex. The vortex originates near the wing tip and X 

moves inboard along the leading edge with increasing angle of attack, 6 

trailing off the wing near the tip and predominating over the tip vor- 
tex. Flight data (ref . l) showed the existence of the vortex at Mach 
numbers up to 0.93^ and wind-tunnel results from references 6 and 11 
show a vortex at supersonic speeds for both plane and cambered wings 
with subsonic leading edges. u 

In figure 8 the trough in the pressure distributions near the 
leading edge indicates the presence of a leading- edge- separation vor- 
tex for the cambered wing. The effects, however, are not as prominent 
as for the plane wing. The presence of the vortex is expected, even 
with leading-edge camber and fences, since experiments have shown that 
the vortex has considerable strength. However, the camber and fences 
apparently resist the formation of the vortex and delay its effect to 
higher angles of attack. 

Wing-section stall .- The individual contributions of conical camber, 
fences, and reflexed tip cannot be determined from the data herein. The 
combined effect on the wing-section-stall characteristics is best eval- 
uated by examining the section normal-force-coefficient curves of fig- 
ure k and the comparison of the section normal-force coefficients of the 
cambered wing euid the plane wing in figure 11 . In figure k the high 
lifting efficiency of the two outermost wing sections is readily apparent. 
The comparatively high normal-force coefficients and angles of attack 
attained before the occurrence of section stall on the cambered wing 
are in contrast to the early loss in lift at the tip sections reported 
for the plane wing in reference 1 and shown in figure 11. The stalling 
of the tip sections of the plane wing at low angles of attack is a con- 
sequence of the formation of the leadlng-edge-separatlon vortex. There- 
fore, an important effect of the combination of camber, fences, and 
reflexed tip is to delay early flow separation at the outboard sections 
to higher angles of attack (above 8^, fig. k) . , 



• ••• • • • 

• •• • • Xj 



11 



The delay in flow separation at the outboard wing sections would 
be expected to have a favorable effect on the pressure drag. It is diffi- 
cult to show this quantitatively by using the plane- and canibered-wing 
data because of the wing fences and the differences in the elevon posi- 
tion; however^ figure 9 shows an indication of this source of drag reduc- 
tion at a =^ 12*-*. The thicknesswise pressure distribution over the rear 
part of the plane and cambered wing sections shows a reduction in pres- 
sure drag for the cambered section as a result of the delay in flow 
separation. 

H Effect of outboard fence .- A noticeable effect of the outboard 

1 fence (0.600b'/2) on the wing sections just inboard of the fence may be 
1 noted in figure k. At orifice station 0.58^b'/2 a large reduction in 
6 normal- force- curve slope occurs at an ajigle of attack of about 8^ through- 
out the Mach number range tested. The pressure distributions in figure 8 
show a reduction in loading at the leading edge between angles of attack 
of 8*^ and 10^. As the angle of attack increases above 12^, it becomes 
apparent that flow separation is occurring inboard of the fence extending 
> eventually over the full chord, as indicated by the lack of pressiore 
recovery at the trailing edge. The flow separation inboard of a wing 
fence has been shown to be a normal occiorrence for fences on swept and 
♦^ delta wings (ref. 12); however, this undesirable effect is usually com- 
pensated by the contribution to the delay in flow separation outboard 
of the fences. 

Span-Load Distributions 

The span- load distributions in figure 12 show a wide variation in 
loading from a near-elliptic loading at the lower angles of attack to a 
near- triangular loading at the very high angles of attack. At moderate 
angles of attack, beginning at a « 9^ in figure 12, the effect of the 
wing fences on the loading is apparent. The outboard fence resiilts in 
a significant reduction in loading on the inboard side as a result of 
the previously mentioned local- flow separation. This is contrary to 
the theoretical effect which, in the absence of flow separation, should 
be to increase the loading inboard and decrease the loading outboard 
(ref. 15). Some effect of the inboard fence is also noticeable, with 
the fence increasing the loading inboard and decreasing the loading out- 
board, as predicted by theory. At a ^ 2k^ (M «= 0.70) the fence effects 
are no longer noticeable as a result of extensive flow separation out- 
board of about 0.5b'/2 (see also figs. 4(a) and 8(a)); consequently, the 
span loading is nearly triangular. 

Since the basic purpose in distributing the leading-edge camber in 
a conical manner along the span is to obtain an elliptic span-load dis- 
tribution at moderate angles of attack, the distributions from figure 12 
• at a =« 7° are compared to an elliptic distribution in figi:ire 13 . From 



12 




tt 



this figure it may "be seen that the loading falls generally along the 
line for an ellipse. At Mach niambers "below 1.19 "the reflexed tip 
decreases the tip loading below the elliptic loading. As a resiolt, the 
spanwise position of the center of pressure in figure 7(e) is about 
2 percent farther inboard for subsonic Mach numbers than for M ^ 1.19* 

In general, the distributions in figure 12 at M ^ O.7O do not 
differ greatly from those for a plane wing at low and high angles of 
attack, as can be seen in figure ik . At a ^ 9^ and 13^ the previously 
mentioned delay in flow separation for the cambered wing results in 
slightly larger loads in the tip region than for the plane wing. H 

1 

In reference Ik the span- load distributions of the JF-102A were 1 

compared to those predicted by linear theory for a flat-plate wing of 6 
the same plan form. The distributions compared well at the lower angles 
of attack, primarily because theory predicts a near-elliptic loading for 
plane triangular wings. At high ^.ngles of attack the comparison breaks 
down because of flow separation, the effect of which can be seen at 
a « 24° in figure Ik herein. Using the theory in reference I5, which 
accounts for the vortex at the leading edge, and correcting for elevon 
deflection by the method of reference 16, the results are still unsatis- 
factory. However, this theory is for wings of very low aspect ratio and, 
apparently, shoixld not be applied for any other case. For moderate 
aspect ratios there does not appear to be a method available that will 
predict the effects of the leading-edge-separation vortex. 

CONCLUDING REMARKS 



Pressure measurements were made in flight over the conically cam- 
bered delta wing of the Convair JF-102A airplane at Mach numbers up 
to 1.19. Maximum angles of attack tested ranged from 2k^ at a Mach 
niomber of X).70 to 9° at 1,19. 

Appreciably large suction pressures are realized at the leading 
edge of the conically cambered delta wing similar in magnitude to the 
high suction press\ires experienced by thin, plane, delta wings. The 
cambered leading edge is effective in distributing the low pressirres 
at the leading edge over a greater frontal area, thus increasing the 
leading-edge thrust. The conical distribution of camber results in 
near-elliptic span-load distributions at the lower angles of attack; 
however^ a more important effect of conical camber (together with the 
wing fences and reflexed tips incorporated by the JF-102A) is the delay 
to higher angles of attack in the occurrence of flow separation that 
normally occurs on a plane delta wing. A favorable effect on the pres- 
sure drag may also be attributed to the delay in flow separation. 
Although the outboard wing fence probably contributes to the delay in 



• •• 



• • ^. .«•«' 




• •• 



13 



flow separation at the tip^ the pressures indicate that the fence induces 
flow separation inboard of the fence starting near the lesuiing edge at 
angles of attack of about 8*^ and extending to the trailing edge as the 
angle of attack increases. 

A wide variation occurs in the spgtn-load distributions from a near- 
elliptic loading at the lower angles of attack to a near- triangular 
loading at the very high angles of attack tested* In general, the dis- 
tributions are similar to those of a plane wing, although the delay in 
flow separation in the tip region results in slightly larger tip loads. 



a 
1 



High-Speed Flight Station, 

National Aeronautics and Space Administration, 
Edwards, Calif., May 5, 1959- 



Ik 



• • •• • 

• • • 

• • •• 

• •t • 

• * • •• 




1. Keener, Earl R., and Jordan, Gareth H.: Wing Pressure Distributions 

Over the Lift Range of the Convair XF-92/V Delta-Wing Airplane at 
Subsonic and Transonic Speeds. MCA RM H55GOT, 1955- 

2. Hall, Charles F.: Lift, Drag, and Pitching Moment of Low-Aspect- 

Ratio Wings at Subsonic and Supersonic Speeds. MCA RM A53A50, 
1955* 

3. Jones, Robert T.: Estimated Lift-Drag Ratios at Supersonic Speed. 

NACA TN 1550, 19^7- 



k-, Boyd, John W., Migotsky, Eugene, and Wetzel, Benton E, 
Conical Camber for Triangular and Swept-Back Wings. 
1955. 



: A Study of 
NACA RM A55G19, 



5. Saltzman, Edwin J., Bellman, Donald R., and Musialowski, Norman T.: 

Fight-Determined Transonic Lift and Drag Characteristics of the 
YF-102 Airplane With Two Wing Conf igiirations . NACA RM H56EO8, 
1956. 

6. Mugler, John P., Jr.: Pressure Measurements at Transonic and Low 

Supersonic Speeds on a Thin Conical Cambered Low -Aspect -Ratio Delta 
Wing in Combination With Basic and Indented Bodies. NACA RM L57G19, 

1957- 

7. Mugler, John P., Jr.: Analysis of Pressure Data Obtained at Transonic 

Speeds on a Thin Low-Aspect-Ratio Cambered Delta Wing-Body Combina- 
tion. NACA RM L58F24, 1958. 

8. Phelps, E. Ray: Pressure Distributions at Mach Numbers of 1.6 and I.9 

of a Conically Cambered Wing of Triangular Plan Form With and With- 
out Pylon-Mounted Engine Nacelles. NACA RM A56BO5, 1956. 

9. Huston, Wilber B.: Accioracy of Airspeed Measiirements and Flight 

Calibration Procedures. NACA Rep.. 919^ 19^8. 



10. Evans, William T.: Leading-Edge Contours for Thin Swept Wings: 
Analysis of Low- and High-Speed Data. NACA RM A57B11, 1957- 



An 



11. Spahr, J. Richard, and Dickey, Robert R.: Wind-Tunnel Investigation 
of the Vortex Wake and Downwash Field Behind Triangular Wings and 
Wing-Body Combinations at Supersonic Speeds. NACA RM A53D10, 1953- 




15 



12, Haines, A. B., and Rhodes, C. W.: Tests in the R.A.E. 10 Ft. x 7 Ft. 
High Speed Tunnel on a 7-5^ Thick, 50° Swept Wing Fitted With Stall 
Fences and a Leading -Edge Chord -Extension. Tech. Note No. Aero 2521, 
British R.A.E. , Sept. 195^. 

15. Weber, J.: Theoretical Load Distribution on a Wing With Vertical 
Plates. R. & M. No. 296O, British A.R.C, 1956. (Supersedes 
R.A.E. Aero 2500, Mar. 195^.) 

Ik. Malvestuto, Frank S., Cooney, Thomas V., and Keener, Earl R.: Flight 
Measurements and Calcxilations of Wing Loads and Load Distributions 
at Subsonic, Transonic, and Supersonic Speeds. NACA RM H57E01, 
1957. 

15. Brown, Clinton E., and Michael, William H., Jr.: On Slender Delta 

Wings With Leading-Edge Separation. NACA TN 3^50, 1955- 

16. Diederich, Franklin W., and Zlotnick, Martin: Calculated Spanwise 

Lift Distributions and Aerodynamic Influence Coefficients for 
Swept Wings in Subsonic Flow. NACA TN 5^76, 1955- 



• • •• 
• • • 

Id * • • • • 




• ••• 

• • • 

• •• 

• • 

• • ••• 



TABLE I 
TABLE OF PHYSICAL CHARACTERISTICS 



Wing: 

Total area, sq. ft 695. 05 

Span (actual), ft 38-17 

Airfoil section NACA OOOU-65 

(Modified) 

Conical camber, percent local semispan . 6.3 

Mean aerodynajnic chord, ft 23.76 

Aspect ratio 2,08 

Root chord, ft 35-63 

Tip chord, ft O.8I 

Taper ratio O.O23 

Sveep at leading edge, deg 60.I 

Sweep at trailing edge, deg -5 

Incidence, deg 

Dihedral (uncambered chord line), deg 

Geometric twist, deg - 

Tip reflex, deg -6 

Wing panel (outboard of wing station 3-5^2 ft) - 

Area (one panel) sq. ft 232. 50 

Span (one panel), ft 15-52 

Mean aerodynamic chord (wing station 8,210 ft), ft . 20*6^ 

Elevons : 

Area (total, rearward of hinge line), sq_ ft 67-2 

Span (one elevon), ft 12.89 

Vertical tail : 

Airfoil section NACA 000^^-65 

(Modified) 

Area (above waterline 33), sq ft 68.3 

Aspect ratio • - • I-l 

Sweepback of leading edge, deg 6O.O 

Sweepback of trailing edge, deg -5 

Fuselage : 

Length, ft 63.3 

Maximum diameter, ft u.5 

Eq.uivalent-body fineness ratio , 9-1 

Power plant ; 

Installed static thrust at sea level, lb 8,800 

Installed static thrust at sea level (with afterburner), lb 13,200 

Test center -of -gravity location, percent -mean aerodynamic chord . . . . 28 to 29 



3G 



• •• 




17 



TABI£ IT 
LOCATIOHS OF STATIC-PRESSURE CRIFICES 
[stations and ordinates, percent chord] 



VO 



I 



t 


72 


0,168 


b»/2 


0.320 


b'/2 


0.441 


V/2 


0.584 


b'/2 


0.713 


b./2 


0-851 


v/2 


station 


Ordinate 


Station 


Ordinate 


Station 


Ordinate 


Station 


Ordinate 


Station 


Ordinate 


Station Ordinate Station 


Ordinate 




Upper surface _} 


. 


-0.314 


2.5 


-595 





-0.93^ 


2.5 


.130 





-2.081 


2.5 


-1.688 





-6.919 


0.5 


.217 


5-0 


.848 


0.5 


-.307 


5.0 


.616 


0.5 


-1.367 


5-0 


-.849 


2,5 


-5.016 


1.0 


.380 


9-0 


1.090 


1.0 


-.054 


N5 


.866 


1.0 


-1,096. 


10.0 


-35^ 


5.0 


-4-006 


2.0 


.583 


10.0 


1.136 


2.0 


■SOO 


9-3 


1.011 


2.0 


-.674 


15-0 


• 951 


10.0 


-2.185 


3.0 


■717 


13.^ 


1.275 


3.0 


.556 


13-2 


1.166 


3.0 


-.333 


23.7 


I-38O 


15.0 


-761 


k.o 


.809 


15.0 


1-333 


4.0 


.664 


15-0 


1.271 


4.0 


-046 


30.0 


1.539 


20.0 


.298 


5.0 


•892 


20.0 


1,500 


6.0 


-655 


20.0 


1.442 


6.0 


.383 


40.0 


1.716 


29.4 


1.291 


7-5 


1.05^4 


25.0 


1.623 


7.9 


.976 


24.8 


1.567 


8.0 


.674 


50.0 


1.800 


42.9 


1.589 


11.1 


1.220 


30.0 


1.722 


10.8 


1.L21 


29-8 


1-677 


10.0 


,872 


60.0 


i.809 


52.9 


1.688 


ia.5 


1.277 


34.8 


1-798 


12.5 


1.204 


35.0 


1-757 


12.0 


1.017 


71.8 


1.688 


61.3 


1.887 


15-0 


1.369 


40.6 


1.866 


15.3 


1.320 


40.0 


1.622 


17.1 


1.262 


f9.o 


1-446 


JO.O 


2.715 


20.1 


1.526 


45-2 


1.903 


20.0 


1.474 


45.0 


1.867 


20.0 


1-35^ 


80.0 


1.399 


80.0 


3.526 


25..0 


1.640 


50.1 


1.924 


25-0 


1.598 


50.0 


1.892 


25.0 


1,499 


85.0 


1.100 


91 -0 


3.989 


30.0 


1.737 


55-0 


1.927 


30.0 


1-702 


55.0 


1-897 


30.0 


1.605 


90.0 


-755 


95.0 


4.138 


35-0 


1.815 


60.0 


i.914 


35-0 


1-777 


60.0 


1.887 


35.0 


1.691 


95.6 


.364 






i^o.o 


1.875 


65-0 


1.873 


4o.O 


1.843 


65.0 


1.847 


40.0 


1-764 










k3^o 


1.917 


70.1 


1.780 


45.0 


1.889 


70.7 


1.752 


45.0 


1.810 










50.3 


1-935 


75.0 


1.634 


50.0 


1.910 


74.9 


1.62? 


50.0 


1.836 










55-7 


1.935 


80.0 


1.398 


55.0 


1.914 


83.0 


1.211 


55-0 


1.843 










60.8 


1.917 


86.8 


.947 


60.0 


1.901 


87.5 


.906 


58.3 


1.843 










65-0 


1.880 


89.1 


-783 


65.0 


1.864 


90.0 


.731 


66,1 


1.797 










70.0 


1.789 


90.0 


.721 


70.0 


1.777 


92.5 


-556 


70.0 


1-731 










75-0 


1.635 


92.0 


.581 


75.2 


1.615 


94.5 


-^15 


75.0 


1-599 










81. i4 


1.312 


9^.0 


.441 


79.9 


1-399 


97.6 


.195 


85.2 


I-063 










85.0 


1,069 


96-0 


.301 


84.5 


1.121 






87.0 


-938 










88. U 


.829 


9B.U 


.133 


87-9 


.876 






90.0 


.733 










90.1 


.709 






BB.^ 


-830 






94.8 


.403 










91-0 


.646 






90,0 


.722 






97-0 


.244 










93-0 


.506 






93.0 


.516 


















95-0 


.366 






96.0 


-303 


















97.0 


,226 






98.0 


.162 


















^8.6 


.112 
































Lover svx 


face 








0.5 


-0.403 


2.5 


-.677 


0.5 


-1.017 


2.5 


-1.286 


0.5 


-2.219 


2.5 


-3-329 


2.5 


-6.820 


1.0 


-.440 


5.0 


-.762 


1.0 


-1.009 


5-0 


-1.076 


1.0 


-2.219 


5.0 


-2.816 


5.0 


-6.191 


2-0 


-.500 


9.0 


-1.039 


2.0 


-.967 


7-5 


-.991 


2.0 


-2.100 


10.0 


-1-977 


10.0 


-4.767 


5-0 


-.568 


10.0 


-1.104 


3.0 


-.897 


9.3 


-1.021 


3.0 


-1.942 


15.0 


-1.473 


15.0 


-3.476 


I4.0 


-.646 


13.^ 


-1.268 


4.0 


-.872 


13.2 


-1,156 


4.0 


-1.790 


23.7 


-1.380 


20-0 


-2.400 


5.0 


-731^ 


15.0 


-1.333 


6.0 


-.868 


15-0 


-1.271 


6.0 


-1.506 


30.0 


-1-539 


29.4 


-1.440 


/-5 


-.96y 


^0.0 


-i.ijoo 


7.9 


-.922 


20.0 


-1.442 


8.0 


-i.jOo 


40.0 


-1.716 


42.9 


-1.589 


11.1 


-1.197 


25.0 


-1.623 


10.8 


-1.100 


24.8 


-1.567 


10.0 


-1.189 


50.0 


-1.800 


52.9 


-1.688 


11.9 


-1.260 


30.0 


-1.722 


12.5 


-1.191 


29.8 


-1.677 


11.7 


-1.143 


60.0 


-1.609 


61. 3 


-1.556 


15.0 


-1.366 


34.8 


-i.798 


15-3 


.1.312 


35.0 


-1.757 


18.3 


-1.328 


71.8 


-1.688 


70.0 


-.613 


20.1 


-1.526 


40.6 


-1.866 


20.0 


-1.474 


40.0 


-1.822 


20.7 


-1,420 


79-0 


-1.446 


60.0 


,712 


2^.5 


-1.640 


45,2 


-1.903 


25-0 


-1.596 


45.0 


-1.867 


25.0 


-1.539 


80.0 


-1.399 


91-0 


2,500 


30*0 


-1.737 


50.1 


-1.924 


30.0 


-1.702 


50.0 


-1.892 


30.0 


-1.645 


85.0 


-1-100 


94.6 


3.178 


35,0 


-1.815 


55.0 


-1.927 


35-0 


-1.777 


55-0 


-1.897 


35.0 


*-2.642 


90.0 


--755 






39.6 


-1-875 


60.0 


-1.914 


4o.o 


-1.843 


60.0 


-1.887 


40.0 


*-3.230 


95.6 


-.364 






i+5-0 


-1.917 


65.0 


-1.873 


45.0 


-1.889 


65.0 


-1,847 


45.0 


*-3.673 










50.3 


-1-935 


70.1 


-1.780 


50.0 


-1.910 


T0.7 


-1.752 


50.0 


*-4.075 










55.7 


-1.935 


75.0 


-1.634 


55.0 


-1.914 


74.9 


-1.627 


55.0 


*-4.426 










60,8 


-1.917 


80.0 


-1-398 


60.0 


-1.901 


83.0 


-1.211 


60.0 


*-4.723 










65.0 


-1.880 


86.6 


-.950 


65.0 


-1.864 


8f.5 


-.906 


65.0 


*-5.ooo 










70.0 


-1,789 


89.1 


-783 


70.0 


-1.777 


90.0 


-.731 


70.0 


*-5,284 










75-0 


-1.635 


90.0 


-.721 


74.9 


-1.615 


92.5 


-.556 


75.0 


*-5.542 










81. U 


' -1-312 


92.0 


-.581 


80.0 


-1.399 


94,5 


-.415 


85,0 


*- 5.040 










85.0 


-1.069 


94.0 


-.441 


85.1 


-1.063 


97-6 


-.195 


87.0 


♦-4.346 










88.4 


-.828 


96.0 


-.301 


87.9 


-.876 






90.0 


*-3-237 
*-1.632 










90.1 


--709 


9d-k 


-.133 


88.5 


-.830 






9^.9 










91-0 


-.652 






90.0 


-.722 






97.0 


*-.9l2 










93-0 


-.486 






93.0 


-.515 


















95-0 


-.366 






96.0 


-.303 


















97.0 


-.226 






98.0 


-.162 


















98.6 


-.112 



























♦Orifices located on exirface of elevon-actuator fairing. 



18 



S I . 

• • •• 



• • • • • 



• • • ••• •• 

' I • ! .! ! ! 

• • • • • 



P > 



% I 



TABLE III 
FLIGHT CONDITIONS AT WHICH PRESSURE DISTRIBUTIONS WERE OBTAINED 



M 


a, deg 


6e. deg 


M 


a, deg 


5e' d^S 


M ^ 0.55 


M ^ 0.95 


0.53 


7.0 


1.6 up 


0.95 


-0.5 


1.5 dovn 


.51 


8.2 


2.0 


.95 


6.1 


.4 up 


•59 


26.1 


12.2 


.95 


7.U 


2.0 


.^6 


27.4 


fll-O 


.95 


9.5 
12.6 


4.6 








•95 


10.2 




M % 0.70 






M Z 0.98 




>^0.7O 


3.0 
3.8 


O.U up 

.5 






X- 


70 


0.98 


3-8 


. 5 down 


X- 


TO 


k,l 


.6 


.98 


6.0 


4.0 up 




70 


7.3 


.9 


.98 


8.7 


6.9 




70 


9.0 


1.4 


.99 


10.1 


8.7 


K- 


70 
69 


9.9 


2.1 
2.4 


.97 


10.8 


t8.7 




11.7 










66 
73 


13.1 


3.9 




M ^ 1.02 






15./ 
18.5 


5.3 
7.6 


*1.02 
*1.02 


1.0 
2.0 


1 . h dovn 
1-3 

• 9 up 

i*.5 




69 
68 


22.2 
23.7 


10.9 
t9.6 


1.02 
1.02 
1.02 


3.9 
6.4 
7.6 








5.9 




M ^ 0.80 




1.02 


8.8 


8.0 








1.02 


9.U 


Q.h 


0.82 


5.2 


1.5 up 










.82 
.82 


6,h 

8.9 

10.5 


2.1 
2.3 
3.1 




M Z 1.10 




.80 


1.11 


1.2 


2.2 down 


.80 


12.0 


3.9 


1.11 


1.7 


■ 9 


.81 


13.0 


^.5 


1.12 


2.8 


.6 up 


.80 


1^.5 


5.7 


1.12 


^.3 


3.1 


.80 


17.8 


t4.4 


1.10 


5.0 


1+.8 


.80 


20.6 


8.6 


1.12 


6,0 


6.8 








1.11 
1.08 
1.08 


6.8 
7.^ 
8.7 


7.6 

7.9 

9-9 

10.3 


M ^ 0.90 


0.90 
^ .90 


-1.0 

.1 


1.7 dovn 
1.1 


1.07 


9.2 








<■ .90 
^ .90 


1.1 
2.0 


1.0 

1.0 




M Z 1,19 










^ .90 


2.9 


.7 


1.19 


0.7 


1.1 dovn 


^ .90 


3.9 


.6 up 


1.19 


3.1 


2.5 up 


.89 


5.1 


.5 


1.19 


7.0 


9-7 


.92 


6.9 


1.4 


1.18 


8.6 


11.1 


.92 


9.0 


tl.5 








.88 


9.7 


3.3 








.89 


11.3 


t2.3 








.90 


12.7 


3.9 








.90 


17.9 


10.3 









I 



^ Corrected for pressure lag. 
"t" 6e < 5e ^o^ trim. 



>• #•• • 



»• ••• •• 



!• •• • ••4 









19 




H 
I 




^— t 




— 458- 
(actual ) 



Figure 1.- Three-view iraving of the airplane. All dimensions 

in inches. 



20 



• • • • 

• • • 

• 9 
• •• • 



• • ••• •• 

• • • • • • 

• • •• • • 

• • • • • 
••• •• ••• •• 



41374 




^ 



E-2554 




(a) Coirrplete airplane; side and overhead views. E-2551 
Figure 2.- Photographs of the JF-102A airplane. 



^mmmmmm^- 



• ••• • 

• • • « 

• •• • 



«• •* • ••• 



21 




E-42i+6 




E-k2kh 




(b) Close-up views of wing showing leading-edge camber, fences, 
reflexed tip, and elevon actuator fairing. 

Figure 2.- Concluded, 



22 



^*^ rf •• 




CO 

o 

+3 

aJ 
-P 

CQ 

a 

•H 
tH 

O 
O 

a 
o 

•H 

cd 

O 

o 



CQ 
-H 

Pi 
CQ 



05 



^ 



•P 
tin 



o 

•H 

03 



<U 



F14 



•• # ••« 



• •• •• 

• • • • 

• • •» 

• •• •• 



25 



VO 



t 

m 




& 
i 


^ 
5 


s* 


^ 

f^ 


1 






O 

i 


^ 

m 




ITS 






rn 


^ 
^ 


^ 
i 




O 




rH 


•s 
% 


1 


J- 




*7 

m 

rH 


so 


^ 

g 








O 




O 


^ 
m 


d 


g 
1 
1 

to 


c 

i 


1^ 


1 
1 

i 


1 



B 

-P 

OQ 
0) 

a 



o 
o 

0) 

-p 

03 



■H 

rH 
O 

g 
o 

I 

(U 






»•• • •• •• 



• ••• •• 



24 



^ 


> o ^ 

) cvj J- 


CO --I 


H 










1 


VI 












< 
< 


o 
\J 

Xi 
CO 

oa 

OQ 
o» 

0) 

■o 
d 
O^ 

0<J 

OO 

-oo 

Joo 




!q o o 












/ 












( 


• 
f11 










.'^ 


/ 












I 




















/ 














' 












/' 
































L 


7^ 
































/ 




"^ 


V 


























i 






N 














i 














\ 


\ 




G 


\ 


























V 


\ 






\ 


Su 








^ 
















■iis 


>i. 








^:K 


3 
























^\ 
















o 












\ 










^ 












to 












\ 






















-H 

-P 














1 












s. 




























X 














O 0) 
C^ -P 








"^ 






\ 








^ 












o 
O 03 
















X 


S 1 






\ 




















k 








^ 


\- 






s 
















\ 


\^ 










\ 










0) 








^ 






*tx 




^-^^ 




"Js 


\, 










fl 1 










\ 








^ 


k 




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« • • • 1 

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Forvard part of wing section 




ftearv;ard part of 
upper surface 



Leading-edge camber 
distributes Buction 
pressures over greater 
frontal areas 

j//\ Leading 





Trailing edges 



Leading -edge 
camber delays 
flQTri separa- 
tion over 
rearward part 

; of airifoil 



Plane 
wing (ref. l) 

— Cambered 
wing(JF-102A) 




^ 






Figure 9-- Thicknesswise distribution of pressures for conically cam- 
bered and plane delta wings. 2y' /^b' ^ O.^^Q. M « 0.70. 







• •• 



57 



Cp 



Cp 



Cp 




.02 



(a) M«0.70. 

Figure 10.- Thicknesswise pressure distribution over the forward part 
of four stations of the JF-102A wing. 



58 



• •• 



».. '^ 



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(a) Concluded. 
Figure 10.- Continued. 



• • • • 

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59 







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10- 


Continued 



60 



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r» . * 



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a = 9.0° 




■ Vacuum 



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Cp 




(b) Concluded. 
Figiire 10.- Continued. 



VO 



I 




61 



-.08 -.06 -.04 -.02 

z/c 



02 



(c) M « 1.02. 
Figure 10.- Continued. 



62 



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z/c 

(c) Concluded. 
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(d) M»1.19. 
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Figure 10-- Concluded, 



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65 



Cn 




a, deg 

Figure 11.- Variation of section normal-force coefficient with angle of 
attack for conically cambered and plane delta wings at three stations. 
M «= 0.70. 



66 



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Figure 15.- Comparison of span-load distributions of cambered wing with 
an elliptic distribution, a - 7*^. 




69 



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NASA - Langley Field. Va. H-II6