The variation with Reynolds number of pressure distribution over an airfoil section

REPORT No. 613

TEE VARIATION WITH REYNOLDS NUMBER OF PRESSURE DISTRIBUTION OVER

AN AIRFOIL SECTION

By ROBERT M. PINKERTON

SUMMARY

Mion, gi-ring more accurate results than those obtained

by the usuaI potentiaI-3ow method, is demJoped.

Pressures were &nultaneou@ meawred at 64 oiajfces

The present report presents the complete experi-

distributed orer the midspan section of a & by 90-inch

mental data for the same airfoil at eight values of the

rectangular model of the A? A. C. A. &lg airfm”lin the

Reynolds Number and an analysis of the variations

These nwasuranent~were made

cam”ab[e-den.sitg tunnel.

with Reynolds ?fumber.

ai 17 angles of attackfrom —i?O”to 30° for eight dues of

APPARATUS AND TESTS

the e~ectire Reynolds Numberfrom approximately 1001000

to 8,W0,000. Accurate data tiere thus obtainedfor ~tudy-

The modeI used in this prewm+distribution inw@i-

ing the oizriation of prewnm distribution unlit Reynold~

gation was a standard duralumin airfoiI of N. A. C. A.

Number.

4412 section with a span of 30 inches and a chord of 5

These results on the N. A. C. A. .w$? gection indicate

inches. Pressure orifices, placed in two rows one-

that the pressure distribution is practically una$ected by

quarter inch apart, were Iocated at 54 stations around

changes in Reynolds Number except where separti”on is

the midspan section as given in tabIe I. EL order to

invoked.

evaluate the pressure force paraIM to the chord, a

INTRODUCTION

relatively Iarge number of oriiices were located at the

nose of tie airfoiI (~. 1); well-defied dMributions of

The need for pressure-distribution data ower an air-

pressure along a normal to the chord were thus assured.

foil section and the methods of obtaining those data are

discussed in detail in reference 1. Briefly, such data

provide directly the Ioad distributions required for de

sign purpos= and, in addition, the comparison of meas-

ured pressures with those computed from potential-

ffow (nonviscous fluid) theory provides a means of

studying the effects of wiscous forces on the flow about

FIGm~ 1.—DistribuUon d pwssore _ dd ths N. k 0. A..W PTOIUS.

the airfoil section. Moreover, with the vzide range of

ReynoIds Numbem in use, it is ddable to lcuow how

Pressures were measured at 17 angles of attack from

the pressure distribution varies witl Reynolds hTumber.

—20° to 30° to obtain data throughout the range in-

indications of changes in the character of the flow with

cluding the stall at both positive and negative angles of

Reynolds Number may rdso be deduced from the meas-

attack. These measurements were made at eight -m.lucs

ured pressure distributions.

of the Reyuokla hTumberobtained by varying the den-

An extensive investigation of the pressure distribu-

sity of the air in the tank that houses the tunneI @f~-

tion over one section of the N. A. C. A. 4412 airfoil has

ence 2). Values of the effective Reynolds Number, been carried out in the vmiabk-chmsity wind tunnel.

obtained by mtitipIying the test ReynoIds A’umber by

The purpose was twofold: First, to provide adequate

the turbulence factor 2.64 (reference 3), and the cor-

experimented data to compare with theoretical results; responding tank pressures are given beIovr.

and second, to study the variations with ReynoMs Ef(dire Refua[ds

Tank pressure (atmospheres): Number

Number. Referenoe 1 prments the most important

0. 10XMY

,4--------------------------------------

phase of the investigation and is divided into two parts. .24

L-------------------------------------

l-------------------------------------- .45

The first part gives a detailed discussion of the wrperi-

2-------------------------------------- .90

mental teohnique and a presentation of the remdts at

4-------------------------------------- L80

the highest ReyuoMs h’umber. In the second part a

8.40

8--------------------------------------

comparison is made of experimental with calculated

lo------------------------------------- 6-30

Al-------------------------------------

pressure distributions, and a modi&d method of calcu- a20

REPORT NO. 61L+NATIONAL ADVISORY COMMITTEE FOR AERONAUTICS

- -6

- -6

- -5

. -5

- -4

- -4

P

P

- -3

-3

II

..-

- -2

- -/

\

ix . -/6” a .-1’2”

b

d

‘ -6 a -6

- -5 - -5

- -4

- 4

P

P

d=-4”

- -3 - -3

ci =-2*

--2

- -2.

--f

FIGURE2(8) to 2(p) .-Pr~MrIbutIon dl~~ fi the N. A. 0. A, 4412atcfdl.

VARIATIOlf WITH REYNOLDS NUMBER OF PRESSURE DISTRIBUTION OVER AN AIRFOIL 67

7-6

--6

- -5

- -5

u = -8”

- -4

- -4

P

u = -6”

- -3

.-6 7-6

- -5 - -5

- -4 - -4

P

P

ti=o”

- -3 - -3

- -2 - -2

#Y.2”

- -f - -/

FIGRUE2.-Contfmed. RewrMfsMbutIon dkigram h the N. & 0. A. Au tiou.

68 REPORT NO. 613-NATIONAL ADVISORY COi~iITTEE FOR AERONAUTICS

- -4

- -4

- -3

- -3

P

- -2

- -2

P

- -1

d-4”

(i)

- -8

- -8

“ -7

- -7

CY =/8”

- -6

- -6

-5

- -5

P

P

II

“ -4

--4

- -3

--3

- -2

--2

,$f FIQm~ %-C!ontJnued. Prwuredstributlon dhgrnmfortbeN. k C. A. 4$12 ah’fofl,

VARIATION WITH REYNOLDS NUMBER OF PRESSURE DISTRIBUTION OVER AN AIRFOIL 69

,-6

-6

-5 LY = /6”

-4

P

-3

-2

-/

\

o

\

\

.

\

.

(Id

J-6

-6

: -5

-5

d =24°

- -4

-4

P

P

- -3

-3

- -2

-2

a = 30°

- -1

-/

o

FIGURE!l<ontfnud. Wure-d.htrlbnMon d&snM h the N. & C. & ME? r&foIL

70 REPORT NO. 013-NATIONAL ADVISORY COM3WITTEE FOR AERONAUTICS

2.0

f.6

t.2

.8

c~

.4

-.4

-.8

-16 -8 0 0 0 0 0 08 /6 24

0 0

Angle of atkck. d. deg.

FIWEB 8.—Ltft ourvesforths N.A, 0. A. 4412atrfo0 at .weraf vslussof theFt@ynolds hlrmber.

In order to keep the pressure measurements ~ ac-

curata m possible, it was necesso.ry to obtain large

deflections of the manometa liquids, which was ac-

complished by using three liquids of widely different

specific gravitiea.

Spd c

Liquid: ,mlr&

Mercu~----------------------------------- 18.6 f~ L(— — — — — —– – - --

Tetibmmoeke -------------------------- 3.0

%lz

Mcohol ------------------------------------- .9

The proper choice of the angle of attack and Reynolds

Number groups and of the liquid enabhxl the use of

large and comparable deflections throughout all con-

ditions of the investigation. Repeat tests using the – til--l--m~l

same and different manometer liquids provided data

on the precision of the tests.

Effective /?eynofo5 Abnber

The values of the pressure coefficient P= (p-pm)/q

at each orifice on the airfoil and for aII angles of attack

FIGUBE 4.-Vrulrdiorr of CIX, withReynohls IWmlm.

are tabulated in table I; the table is ditided into sec-

, tions (a) to (h), each section comprising the data for The effective angle of attack is given by

one value of the Reynolds Number. The pressures

qj=ct-cq

g and p. me, respectively, the pressures at the orifice

and the induced angle of attack of the midspan section

tind in the undisturbed stream.

by

h in reference 1, the data were reduced to the

a~= 1.584 c1

following section cosdiciants for the midspan section

where a is the geometric angle of attack measured from

of the airfoil.

the mean direction of flow in the tunnel.

-- at, the angle thut the flow in the region of tho nir-

c,=:JPdx

foil section makes with the direction of the

undisturbed flow.

c,=:JPdy

Values of cm,CC, c~,,l, cl, S,Yi, and aOfor the 17 ~alum

*l-

of a are given in table II; the sections (u) to (h) cor-

respond to the respective Reynolds Numbers of tablo

I(a) to-(h).

where Cfiis the section normal-force coefficient,,

Isometric plots of normal pressure agninst position

c., section chord-force coefficient,

along the chord are presented in figure 2, ono set of

cmd4,Section pitching-moment coe%cient,

plots containing the pressures for the eight Reynolds

Lift coefficients were obtained from the pressure

Numbers at each angle of attack. Tho effect of

measurements by the following equation:

Reynolds hTumberon the lift characteristics is shown

ca=& Cos fY-c~ sin a

in figurw 3 and 4, .

VARIATION WITH REYNOLDS NUMBER OF PRESSURE DISTRIBUTION OVER AN AIRFOIL

x hlcdo[

Hw’’iiu..m + Tefr-oe

-1.0

P

[.0

‘r +

-m x

-30

+

x + Mercwy 11111”

11111”

e

x Tefratromethm

+

-20

-.2

H#14d#

-f.

-1.

L I

i%7C~# tid

Percen f Ctnd

(d) IMecthe 12emoIde Muuber, 8,403,00Uu = 4“.

(n) mkctim EWnOHS Nuder, IUWWu= — 4“.

(e) Efktke BeYMIde Nmnber, l#J3&W a = W.

(b) Ef?edke F@noIda Nmnhr, 460,0fJI;a =– 4°.

(!) Ef?ectke EegnoMe Number, 6$OOM u = W.

(c) Etiire Reynolds Number, 8#J,w u = !24°.

L

FIGCT.Z6.-R csuredktribntfon dhgrame frw.nrepeat tests at verlous @es CA attack and values of tie EeynoIde Numkt. Vduee Sndfeeted by X aredsodwn Intab!e 72 REPORT NO.

618—NATIONAL ADVISORY COMMITTEE FOR AERONAUTIC

- -5

-5

— Measured

kasured

I ------ Cdfcuiated

--------- Calculai%d 1

1.

- -4

- -4

- -3

- -3

P

P

- -2

- -2

- -1

- -i

\

/

- -6

— Measured

-8

----—- Calculated

—Measwed

-—- Culcufattx

- -7

-7

- -6

-6

I

- -5

-5

P

P

- -4

-4

- -3

-3

- -2

-2

- -/

-f

o

>

(a) EiTeotlre ReynoIds Number, 430,cMM.

(o) Effective ReynoId8 Number, 3,Wl,WM.

(h) Efteccive Reynolds Number, l,WQOXI, (d) Effective Reynolds Number, 8#@100.

FIOCRE6.—Presm.r&diatributlon dfagrama showing the spread of sepmtfon at fore’ values c4 the ReynoIds Number.

VARIATIISN ~ITIIREkNOLD~” NUMBER OF PRESSURE DISTRIBUTION OVER AN AIRFOIL

73 .-

PRECISION

tion phenomena experienced with changing Reynolds

N&cber. Most of these changes, of coume, appear

The prectilon of the pressure meammxnents at

near either the positive or negative staII but at low

ReynoIds Numbers other than that for the data pub-

Reynokls Numbers (below RC=WM,OOO appro.xirnately)

liihed in reference 1 is indicated by the diagrams ghn

some tiects of separation, even in the Iow-drag range,

in figure 5. At the lowest Reynolds Number (@.5 (a))

are apparent horn a careful analysis of the distributions.

the capacity to repeat measured pmmres is markedly

The presence of some such effects is indicated especially

less than for higher Reynolds Nurnbem. It should be

by pressure-drag integrations which, in this rmge, show

noted, however, that the precision was good enough to

a definite increase of drag with decreasing Reynolds

establish the occurrence of the supposedly huninar

Number. These results, however, are not presented as

separation near the Ieading edge. The precision at

such s.iuceprwwredrag determinations are subject to

ReyuoIds Numbers corresponding to the atmospheric

some uncertainty owing to the inherent difficulty in

runs and at higher values is consistently good e-renwhen

obtaining t$em. The following analysis is based on

the section has stalled, as in the diagram for 24°.

changes in presmre distribution occurring near the stall.

DISCUSSION

A detailed dismmsion of tiese phenomena based on

analyses of foroe tests of a large number of airfoiis of

The general nature of the variation of the pressure

wideIy diflermt shapes is given in reference 3. The

distribution with Reynolds Number may be observed

pressure-distibution data presented herein provide

by means of the isometric plots in figure 2. At normal

contlrmatory and suppkmentary information for one

angles of attack, where stalling is not involved, the dis-

particular type of airfoiI section reprcmnted by the

tributions me practically nnailected and hence the

h’. A. C. A. 4412 airfoil. This airfoil is one of medium

retied method of calculation praented in reference

thickness and camber producing a fairly graduaI stall

1 is applicable at those attitudes for any Reynolds

(type D Iift-ourve peak, reference 3). The stalling

Number. Diftereryxs that do occur in the pressure

process of this motion is a complicated one invohing

diagrams are entirely of a load nature; they areprobably

both trding- and leading-edge types of separation.

associated with separation and the changes in the

At the low ReynoIds Number (fig. 6 (a)) separation

character of the boundary layer as the Reynolds ATum-

occurs prior to the stall as indicated in two distinct.

ber is varied.

regions on the h’. A. C. A. 4412 airfoil: One in the

Boundary layer and the pressure distribution.-The

turbulent boundary layer near the rear of the airfoil,

formation of the boundary layer due to the viscous

and the other in what is probably the laminar boundary

forces and the rewdting effect on the pressure distribu-

layer near the nose. Instability of the huninar flow

tion is discussed in reference 1. A comparison of actual

pressures with those computed for a potentiaI, or non- after separation results in a breakdown of the smooth

laminae.into an eddying flow. The scouring acfion of

viscous, fluid Ied to the development of the previously

the eddying flow may then sweep the dead air fi-om the

mentioned modified method of caIcuIation, which giv~

surface and cause the r~tabIishment of unseparated

good resuIts at attitudes where separation is not

flow with a turbtient bound~ layer instead of the

involved.

Separation of the flow from the surface would be Iaminar layer. This laminar separation and the subse-

quent establishment of eddying flow account for the

expected to be indicated on the pressure diagrams by a

so-called “bubbIe” of dead air occurring in the flow at

region of approximately oonstant pressures. The start

the low Reynolds A’umbers. The turbulent Iayer, and growth of separation are best observed in figure 6, which presents isometrically the pressure diagrams for unable to maintain itself at high angles of attack, starts an increasing angle-of-attack range. CelcuIa&d dia- separating near the trailing edge and spreads forward

se the angle is increased untiI the staU, redting from

grams obtained by the method of reference 1 for a non-

the combined hminar and turbuIW separations, is

separated viscous flow are superposed for comparison.

reached.

The differences between the measured and calculated

distributions are attributed to separation and hence

At the highest Reynolds Numbers (fig. 6) marked

the shaded area may be considered as a measure of the

local Iaminm separation near the nose of the airfoiI is

effect of separation. The inclusion of four groups of

apparently prevented. This pre~ention is accounted

diagrams, one for each of four values of the Reynolds

for by a tmmsition from laminar to turbulent flow

Number, provides a means of studying the scale effect

nearIy at the laminar separation point or before the

on separation phenomena.

Iaminar flow has reached separation conditions. A

The occurrence of separation is markedly affeeted by

movement forward of this transition region with in- ,

changes in the Reynolds hTumber, as may be seen in

oreasing ReynoIds Number has been observed in smoke-

figure 6. XIoreover, the oily observable scale effects on

flow studies. Uoreover, iigge 6 indicates that, for

pressure distributions (fig. 2) me probably due to the

the N. A. C. A, 4412 airfoil in the Reynolds ATumber

nature of the separation and the changes in the separa-

range included, the separation in the turbulent bound-

REPORT NO. 613-NATIONAL ADVISORY COM~TEE FOR AERONAUTICS

vahe is probably the value at which there is no dcfinita

ary layer is slightly delayed with increasing Reynolds

local separation.

Number. Hence, at the high Remolds Number, with

possibly a delayed turbuIent separation and no marked

local laminar separation, the airfoil section increased its

lift to a higher angle before stalling than was possible

at the low Reynolds Number.

ILANGLEY ~lEMORIAL AERONAUTICAL LABORATORY,

This analysis of the separation phenomena and the

NATIONAL ADVISORY COXi-EE FOR AERONAUTIC,

ohanges with Reynolds Number has been confirmed in

LANGLEY FIELD, VA., July 14,1937.

some respects by measurements in the boundary layer

REFERENCES

of the N, A. C. A. 4412 airfoil at several va.hes of the

Reynolds Number. These data are a part of an N. A.

1. Pinkerton, Robert M.: Calculated and Measured Pressure

C. A. investigation of boundary-layer phenomena.

Distributions Over the Mktspan Eection of the N. A. C. A.

4412 Airfoil T. R. No. i563, N. A. C. A., 1936.

2. Jacobs, Eastman N., and Abbott, Ira H.: The N. A. C. A,

Concluding remarks.—The results of this investigat-

Variable-Density ‘Wind Tunnel. T. R. No. 410, N. A. C.

ion indicate that the pressure distribution except near

A., 1932.

maximum lift is practically unaffected by changes in

8. Jacobs, Eastman N., and Sherman, Albert: Airfoil Section

the Reynolds Number above a certain critical value,

Charaoteriatica sa Affected by Variations of the Reynolds

which is below the usmd full-scale range. This critical Number. T, R. No. 5S6, N. A. C. A., 1937.

Tmm IQ,—EXPIHUMENTAL DATA

IN. A. O. A. 4412 n!rfoll: dfectlve Rernohld NumbmWW -t, vmhbh+mlty tmn~ 1m7+ mfmomet~ lWG 81WIIO11 P-lJ Orlilmn

--#, for WTcrout sngka of Waok

Valrm of prmcura cmlBolmt, P-

Station ordhlat9 (permrlt c (P:W: a _~.

lW DraIgnotlon -a” -4” 4“ 8’ -16” -12” -8” -v r P W 1s” w 24” 6(P f:fnlcla~, ahord) — — — — — — — . — — — — — 2a . . . . . . . . . . . . . . . . . . . . . . . . . 100,m -a Ma -0. 2s9 --, ~ 0:%8 0:g4J -0,204 -o, @ -o, aoa -0,608 -o, 6+2%

o -0,498 ~;: -: ;$ -0,116 -0.046 aoe4 o.cm

1- . . . . . . . . . . . . . . . . . . . . . . . . -. w -,498 -,045 -,104

97,82 -,16 -. m .024 .024 -.204 -, 8M -,428 -, 42s

28 Q4,86 -, WI -,0s0 -.046 :M ,0u4 . . . . . . . . . . . . . . . . . . . . . . . . . . -, (BO -,010 . Ma -.003 -, 2)4 -,264 -,10 -.608 -.689 :% -,289 -. 2a4 :!% .064 -.809 -,824 -. m -,045 -,046 -,010 , ml ~: ~o 22 -, a6a ,004 -, lLUI -, ml -,115 2.X:::::::::::::::::::::: -, m -, llul -.045 -,010 .122 ,081 ,184 Ez :. 2a -.688 -,688 -.046 :% ,0a8 ,120 -, MO -,080 -,010 81. . . . . . . . . . . . . . . . . ...-..”.. -,808 -, 68s -, lad -, OEn -,630 -,010 ,Om ,062 .281 ,291 74.92 -. tia -. ME ,120 ~oln ;% .lm W -,802 -,264 :W . . . . . . . . . . . . . . . . . . . . . . . . . -,160 -,115 -,046 .231 04,94 -,84 -,608 -,808 ,0a9 ,024 .231 :!% ,198 , 184 8.. . . . . . . . . . . . . . . . . . . . . . . . -, m -, sise -,220 -, IJM -, M?o -: E , 05Q ,127 .2s4 :% ,199 -1.24 –, 829 -, tlw .024 y197 .122 ~S(M 88. . . . . . . . . . . . . . . . . . . . . . . . . . -, 42a -.264 -.116 -,080 ,06a ,107 2. Z -L 44 -,707 -,672 -, on -. a24 -, M5 ,127 ,188 ,104 ,m 4.- . . . . . . . . . . . . . . . . . . . . . . -,073 -.498 -, no .127 .881 44,20 -LM -. llm -, ma -, X4 -. laa -.046 .(IM :E , 8d6 .ZIM .2M .81B ;4M 84. . . . . . . . . . . . . . . . . . . . . . . . . -,668 ,164 , al 80.28 -1.86 -,606 -, m -,672 -, m -, U4 -, lho -,080 ,024 .004 . adci ;m& ,2!M ,Saa ,448 6 -,872 -, 8S8 . . . . . . . . . . . . . . . . . . . . . . . . . . . -, 2a4 -. Ia6 ,164 ,88[ 84.m -!L 10 -, ea -.. -,742 -,116 .084 ,481 ,aaa ,878 , m -: WI ,184 .806 8J..................... -.” 29,en -2,80 -. m -,742 -,777 -.894 -,824 -, 2a4 -, MO ,481 ,2416 . a7a .408 .612

-,916 . . . . . . . . . . . . . . . . . . . . . . . . . . -,869 -,824 , 8’W

!24, (m -, Lm -a. 64 -,809 -,742 -, ma :1% .m -, m -,046 ,400 ,898 ,408 ,477 ;aaz

-1,091 . 4al ,498 a. ..... . . .. .. ... . ... . .... . In,08 -,606 -2.76 -, C4M -.742 -,742 -,688 -,408 -, .%4 -!08Q ,024 .~ .401 , Ma .612 ,062 -L 266 7. . . . . . . . . . . . . . . . . . . . . . . . . . . 14,04 -a 00 -.688 -, Caa -,742 -1,800 _;: S: ZEJ :;~ g :% ;fj :% ;% %J ..--- .------...........”.. !3#cJ -2.86 -, aaa -,648 : ~: -L 800 -L 474 -1.091 ;% ;% -1, 26a r . . . . . . . . . . . . . . . . . . . . . . . . . . -a, 72 -, MM =. # -1,474 .491 88-...-,............-.”.”. 4, M -.2. 4e -.682 -,072 -L !z!lo -L 474 ~;: $ -,247 -,688 -, lao . 7m :% ;&a .791 ,841 -1,265 9 2.02 -!206 -,582 -, !54.2 -,672 . . . . . . . . . . . . . . . . . . . . . . . . . . . -1, ma . -1.081 -, Ma -.116 ,198 , 71m .W8 1, MO ,886 1.m W -L 800 so. . . . . . . . . . . . . . . . . . . . . . . . . . 1,08 -L 60 -, Ma -,088 :: :;; -L 767 -1,718 -L KM -, Ea8 ,000 ,878 1.Olml ,$00 :~ ; o~ ~ oo~ ;% 1;f: :WJl ,92 -L 20 -,588 -. ma -L 878 -a 060 -Lam -L Otd -,82.4 ,804 ,017 ,666 %::::::::::::::::::::::: ,86 -, 74!2 ; ~7 -1, oE41 -- ‘m: -2,186 -L ma -:72 ,004 , oa2 .806 -. !Ku , &i7 ,448 ,128 ; 70 ,164 -1.140 o -,707 -,686 -: g -, 48a , 7a6 1:0# -1.870 -: % -,824 -,859 -, 63a k::::::::::::::::::::::: 0 -. @la -: E .104 ,288 ,164 , a47 , Ml ,Wa -,827 -2.012 -8,281 -LOC9 -1,091 -,4$1 .02 -,261 ,44 L 66 ,721 ,820 . Ml , 8@fi ,W ,8W , mo :~ , a78 -,164 -L 727 -8,181 -a. 861 -L 702 -1,1 $-::::::::::::::::::::::: 2,]6 ; ho ,986 :E ;. ::g XJ ,721 -,462 -1,s72 -8.018 -8.018 -1.476 1:; :% .Wo :% -: % , 7!56 ;~ ,28a -1,872 -2. 77Q +?, 740 -1,808 2.78 1% -.002 48:1:::::::::::::::::::::: &64 ,280 ,4411 .82a , WI ,Ila2 ,024 -,824 -,741 -L MO -2.478 -2, a70 -1,274 :688 -,812 ~g 1’4- . . . . . . . . . . . . . . . . . . . . . . . 4,88 ,828 ,6.52 .682 , ma ,873 ,164 -, lad -,428 -L am -2.244 -Z 611 -L 241 -. 8J2 t; ,7.21 -,846 -,688 L.... . . . . . . . . . . . . . . . . . . . . ,721 ;bsJ ,477 ,am ,104 -,010 -, 2s2 -, 6d2 -. ml -L 018 -1,046 ~: jg -1. Ml 7. ml 6,74 -,888 -. w

g : M a M , a47 .M8 -,116 -, ae4 -,672 ;. -1,646 -L fb4a

-, ~ -L 274 -.62$ -. @la ::::::::::::::::::::::::::: :%’ -: !% ,448 ,am ,223 -, M4 :, 4g -,742 -L 846 -I, 84a -L.241 -,847 11% 7.24 -2! 844 -. w 14,!32 . am , as ,184 ,09! -, lml -, ‘xl -, w -L m -1, 74a -L 910 -,072 -, w 7.23 -,777 -L 174 : g; k::::::::::::::::::::::: -: % ,164 .024 .024 -,824 -,608 -,777 -1.480 -L 042 -1. ao6 -1,040 17,44 &40 ,84M -. ml -. w , -, (,M8 –, 6W &80 ,182 -,048 -,116 -’, 2a4 -,824 -, am -.811 -L 400 -L 676 –1mao6 -: po 19,96 -, ma -,777 -,688 -, am ;;Z:::::::::::::::::::::: -:% -: !% Q,16 ,129 -,264 -, m -, % -.038 -, 68a -, ?07 -.846 -1,182 -L 241 -, m8 22.44 -L 074 -,742 -.038 ,lW4 -,010 :, ~ -,115 -, lml -,824 -, a24 -,602 -, 74!a -L 408 -L 107 -, ~Q 24.Qa 9. 6!2 :, 21; -L 2M -,707 -,003 -, Ma *::::::::::::::::::::::: -,185 -,186 -,224 -,422 -1. 2s8 -L 841 27.44 9.&a -,080 -, ma -,742 -1.074 -,829 -,749 -, ma -,409 -,116 -, lad -.165 -,220 . . . . . . . . . . . . . . . . . . . . . . . . . . -,468 -, aaa -,742 -: E 24,2$ Q,70 -, w -. 4s1 -L !418 -1.274 -L co? -, ma -,707 -.029 -, OIM 49. . . . . . . . . . . . . . . . . . . . . . . . -,116 -,186 -,234 -,884 -,408 -,688 -,707 -1,146 -L Io7 -,672 84,98 0. Ill -. !264 -. w -,847 -. m -. 77a -, W -.688 20 -, m -,244 -, m . . . . . . . . . . . . . . . . . . . . . . . . . . –, SW -,428 -, Ma -1.078 -, 87a 8Q.90 -,264 -.254 -,638 -.742 -.778 -,700 -,672 -, am -,0111 -, .zW -,264 -,264 -, 8LUI . . . . . . . . . . . . . . . . . . . . “.. . -,894 -, m -,608 -.672 I!O.. 44.80 1% -, !222 -. !4E3 -.707 -l,l%?a -, m -,672 -.672 -,62$ -, ma 21. . . . . . . . . . . . . . . . . . ...”.... -,824 -,264 -,224 -,868 -, 424 -,672 -, m 49,82 9,22 -,264 -,824 -.264 -, !W -’, ~ -, Z49 -,600 -.072 -,072 -, m 61- . . . . . . . . . . . . . . . . . . . . . . . . -,22$ -,220 -,186 -,254 -,824 -, 46a -, 42a Mm 8,76 -,244 -,824 -. e86 -,806 -. Ma -,606 -, aaa -, am -.608 -. a24 -, m -,180 -,232 -, !x10 -.429 -, 4’M -,672 !22, . . . . . . . . . . . . . . . . . . . . . . . . a 16 -, am -.824 -.688 -, 74a -,688 -.488 -, Ua4 -,688 -,498 ~g 62 -, 8W -. m -, led ~, ~ -, 2a4 -,824 7. M -,894 –, 864 .“ -------------- . . . . . . . . . . -, 4W -.088 -. m -.488 -, 4oa -.600 -,072 -,688 -, W -,824 -.186 -, MO :, g -,869 -,468 -.672 a Ml:80 0,70 -,894 -, aa4 . . . . . . . . . . . . . . . . . . . . . . . .“. -.603 -, 4ao -. aaa -. ma -.672 -. aaa -,688 2J- . . . ...-.............”.” -,420 -, IMl -,116 -, lM

74,80 –, 428 -,824 –, a24 -, 46a -, am -.882 -. m -,688 -. OM -,672 -,688 -, Ca6

-,264 -.116 -, Ma -. m -,868 -, 4!49

78,92 t% -,422 -,429 -, m ...... . . ... . ... . ... . .... . . -,869 -, m -, m -.271 -.672 -,088 -, 6a6 -. M4f -, 2a4 -, IWn -, mo -, IL5 : plJ -.824 25 a, 2a -,468 -,422 -,824 -,186 -, m -,104 -.267 -,688 -, cm -,603 -, m ~fi 64:1::::::::::::::::::::::: -, 46a -, CU6 -, WI -,116 2! 74 -, m -. !1M -,282 -, 160 -, owl -,127 -,087 –, 287 -,606 -, MS -, CJM -, am -, m -!046 -.080 -, m -, Ma -, I& -,048 28.. &w L 42 -, 4M -. 4a8 . . . . . . . . . . . . . . . . . . . . . . . -,010 -, Oaa -, w -.287 -,472 -, am -, m -, m -, OS) -, lm -,160 27 ,64 -, w -, 4Ea -, !234 -,046 . . . . . . . . . . . . . . . . . . . . . ...”. -, MO ,024 ,024 -,01s ,080 -,204 -,468 -. Ma -,686 -, ma w.” . . . . . . . . . . . . . . . . . . . . . . . . 1%,1% 0 . . . . . . . . . . . . . ...”. . . . . . . . . . --------- . . . . . . . . . -.”. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...”. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..-

TABLm Ib.—EXl?ERIMENTAL DATA

[N. A. CL A. 4412tirfo~ efleetlve IM,ynolds Nnm~, Z4@MKI; t@ verfabledmtjlty hmnel 1097+ mmmmeter IIqtid, alcohol] P–fJ 0rlflc8s ValrLES of prwmre ec+lent, P- +% for dllWunt snub bf attaok

Sb3ti0n Ord!mta

&wJ?fltg (Pm&t e

Damnation

–20” -m” -W -6° w 16” ls” w am of chcid) “ chord)

B.. . . . . . . . . . . . . . . . . . . . . . . . . . . 100.00 0 -o. 4s1 -a 448 o. Ild

-0.288 -mom am 0.1138 0.181 f ~-g 0.148 o. I&t 0.086 -0.230 -0.448 -0.495 -0.674 -0.574 l---------------------------- 07.92 -.549 -. m -.264 -. Ola .062 .116 . IN .148 .121 ‘ . lal .066 –. SW –. 279 –. 264 -. m -.277

f:-------------------------- =% –. m ~: 4$ .148

–. 2?8 –, 013 .062 .100 .116 . 14s .181 .181 .O!M -. 01!3 -. M4 -. m -. !m2. –. 246 . . . . . . . . . . . . . . ” ----------- %% m

—. -.625 -. a18 -. Ola .052 loo .O’m . Ml .181 ,181 .164 .148 .082 7049 –. m -. lal -.116

W---------------------------- 84W -. 22 –. 641 –. 667 -.866 –. w .6a6 .068 .092 : .lla . Ha . in .164 .180 .115 .016 -. 02s -.049 -.016 31--------------------------- 7L 92 -. –. 541 –. 574 –. 481 –. OE$ .061 .066 .69a . 11s .181 .180 . 2]a .197 .OM .m4 .W “.781 =---------------------------- 64.04

i% -.541 -.657 -. nll -. lbs -: !% .098 . Ha .197 .246 .246 .180 .164 .164

.m

a. . . ..-----. --.-r .-- . . . . ..-..- -–i 24 –. 525

–. 674 -.575 –. 254 –. 098 -: % –: z :!% .066 .Oa$ .197 .279 .295 .ao .812.

?3.-,.-—— . . . . . . . . . . . . +.. %ti –L 44 -.667 -.574 -.228 -:141 -.061 -.016 I “, .016 ,M.? ‘ . Ian .262 . 8f2 %! ;; .246 .8% -. I$06 _. 04g r 4--... -_------ .--------- ..-.– 4490 -L 64 –. 624 –, 667 -.624 –. 8Kl –. 16$ -.077 .016 .049 - ‘:%? .m . au .644 .296 , af2 .410 ~------------------------- 29.98 -L 86 -.625

-, M.7 -.640 7.447 –. 190 –. ml –. 005 ~ %6 .049 .O$a .280 . az3 WJ . a7a .22s .44a

6--- . . . . . . . . . . . . . . . . . . . . . . . . . . 2.Lm –2, 10 -.609 -.657 –. 672 -.527 -. m -.169 -. 0%3 .032 .Om .!ZO .244 .261 .867 :% .492 w--------------------------- B. 96 -22-0 -. m –, E41 -. 67?-4 -.624 –. 802 -.206 -.148 -. Ma .016 .OR? .246 .877 .44a . as4 .405 .4M .526 6-------- ~--- ..---. - . . . . ..F...- 24.WI –z 64 -.509 -,541 –. m -. 71ra .-. 8&3 -.270 -. ala -.116 –. 016 ,0a2 .246 .410 .476 .m .487 .454 .674 –. ~ . . . --------------------- 19.98 -2.76 –. Km ,–, 641 -. m –. W –. 479 -.851 -. all -.164 .049 .232 .426 .623 .476 . 4nl .m ,68s 7-:... -.--:------------------- It ~ -a 90 -.491 –. 626

-. &a -L 042 –. SLm –. 527 –. 423 -.220 -. m . MO .296 .007 . M7 .6KI .721

37--- . . . . . . . . . . . . . . . . . . . . . . . . .

–a 80 -. m -.525 ~~ -L m -L 8m -.918 -.657 -. all –. 148 .049 %$ ,706 .6E8 .646 xi .74M 8. -- . - . ” -------------------- –2. 72 –. Wa –. 625 TL 821 -L 5M -. W -.689 –. a77 -.164 :% .672 .W2 .754 .727 ,764 w_------. . . . . . . . . . . . . . . . . . . . . –246 In -.491 -.625 -. Mo -L ~ -L 5M -L 122 -.787 -.448 -.164 :E .526 .808 .916 .8M .828 .86s :E 9---------------------------- 292 -206 –. 491 -.526 –. 624 –L m -L 662 -L 821 -. 9f8 -.476 –. C08 .mo .706 .924 LOOII .961 .824 .s67 Looo ,.

~:--.-”-.: ------------------- LC4 -L I!41

-.609 -. m -.640 –L E41 -L 894 –L 6(% -L O(XI ,–. 410 ‘.41’O ..M9 .SM .918 .951 LIXH3 .W4 .918 .................... ...... .92 -1”20 -. cm -.525 -.672 -1. m -2. m -L621 –. 902 -. !z2e :% , .EM ‘.,984 .824 .771 .920 .721 g:-.- ...-.. ” . . . . ------- +--- . a6 -.

m –. 624 -. m -.929 -_y &7 -a LC9 -L 895 -.641 , lan .002 .895 -: E :%il .148

. . . . . . . . . . ----------------- o o -.640 –. 525 -.511 -: ‘w& -. !244 .294 .846 :% .W4 .218 -i% –a 628 -i % -: z -.861 -. m 41---------------------------- 0 .m .Wo .218 .82a .212 ,073 .s84 LW .492 -. Sfa3 -2787 -2.951 -2426 -L W -.918 -.5?m I!& ----------- .-. -.-r-+ .44

.Sa4 .705 .844 -. lso ; -L 6~ -a. 228 4m -2410 -L 164 -, 7a8 –. m

42-------------------

;: :% i%! i! iZ i%% .788 .4W -.469 -1,788 –& 164 -8.674 -a n6 –. 077 -.656

-. 6%0 U- . . ..-.. - . . . . . . . ..--.- .--.i i% 278

.907 LOOO LIMO .989 .W1 .M1 .246 -: E -.606 ‘-L 721 -2. So2 -z all -2 mo -. WI -.630 –. Wo

..--.. -. —------------------ .951 .918 .823 . 75U .812 .016 -. m -.789 -LOM -a w -a. 164 71.984 -. ml -. ma -.674 1 -.. .r.,..y . . ..T” . . ..- :! i% .@ .m ;E .@l .4W .W –. lm . ,:.3?2 ‘, ,’-&59o :2844 ~a. n6 TQw ?. 918 ?, m ?. 574,

,. v. .%q

,,

jr

t . . . . . . . . . . . . . . . . . . . . . . . . . . . h 74 7.50 .6%4 .&m .618 .m .8S? .164 -. 0a2 –. all “-.6DO -. & -L492 -2 lal -a 016 -L”951 -.918 -, ml -.574’ lb--------------------------- 6.66 .476 .aaa .m -. 1.s6 -.410 -. CM -.918 –L448 =1. SW 72197 -LW -. a07 7.689 -.674’ ~ . . . . . . . . . . . . . . . . . . . . . . . . . . 1: B :% :!% .lsa .IM4 –: E –. 211 –. 606 –. 721 -.981 -L 410 AL 842 –L 788 -L Ml –. 849 -.639 -. m . . . . . ----- —---------------- 1492 :% .261 :%! . lot .116 .019 -.141 -.260 ?. Ml -.738 -.961 -L 861 ~L788 -L 629 -L ~ -.817 -,089 –. Mm M---- . . . . . . . . . . . . . . . . . . . . . . 17.44 a 40 .a96 .Ial .116 . Ml -.046 -. m -. ?.49 -,574 –, 764 –. 981 -L 295 TL 628 -L 667 -L 147 –. m -. 6~ -.574 17--- 8.s0 .114 -. Ola -. m -.270 -.4.42 -, C06 –. 770 , -.961 -L X2 -L .541 TL 459 -LM2 –. 768 -. m -. m 4~:1{::.z::::-::::z-:: E$ 9.16 :% .mo -: E -.096 -.158 -.264 -.525 -.574 -. m -.824 –L W -L 4m3 YL 410 -LOB9 -. ma -.689 -. m . . . . . . . . . . . . . . . . . . . . . ..- !2492 9.62 .GW -. 02B -.002 -.174 -.802 -.476 -.023 –. 770 -. W2 –L IKI -L 877 -L 2.95 -,967 -.704 -. 6chs 7.674 ~:.-.. -.-___-- .---. --:_.. xi. 44 9. m .016 -: E -. W8 -.169 -. ma -.860 -. am -.629 -.7117 –. m2 :L, M8 -L222 -L 2f.2 -.984 -.704 -.022 –, 590 . . . . . . . . . . . . . . . . . . . . . . . ..- 29.83 an -.016 -. 09s -. fzd –. 174 -. x$ -. am -. J51M -. 62a -. no –. 869 -L 116 –L 262 -L Ial -.902 -.704 -. ma -, m @.- . . . . .._. __ . . . . ..--.. ___ 84.s 9. w –. w P. 164 -. m -. m -.264 –, m -. Jm -. m -. ml -. Szu -L C%8 nL 131 -.967 –, m –, m -.836 -, 6MI m.-- . . . . .. —–--------*-...

89.w 9.84 –. 147 -.218 -. !M6 –. m –. 270 -, am -.476 -. Sr4 -. 6Z2 -.770 -. w -. % -.754 -.672 -. m -. W9 -, m to. . . . . . . . . . . . . . . . . . . . . . . . . . . . 44.m –. 218 9.64 -. m -. !zM -.222 -. !4io –. 234 –. 4$4 -.641 -. 6i2 -. TX -.902 -. SW -. es -. J –. 672 -.622 -. ma Al--------------------------- 49.92 0.2a -. M -. m -. X8 –. m –. 2b4 -.818 -.426 -.492 -.674 —. 672 ! -.7M -.764 -.874 -. z -.672 -.628 –, 605 61. - . . . . . . . . . . . . . . . . . . . . . . . . . . 54.92 8.76 -.262 -. m -. m -. lm -. 2a2 –. 2$s -. ail -.442 –. 525 -. 6-Z% –. 029 -,689 -. m -.689 –. w -. 62a -. m 22. .. —-. .— ------ ---------- m.94 –,811 a M –. 2W -.264 -. IW -. m -.2711 -. MJl –. 410 -. m -. am -.641 –. 557 –. 4m -. !322 –. 666 -. 4s9 -m 52-—-_--.---–..-–– 7. M -.24 -.244 -.270 -.174 -. lMI -. m –. 811 -. 2Q2 -.476 –, m? -. WI -. m -.261 -. 6M -. 6E8 -. m –, 628 .%%’ ii 76 –. 261 –. 844 -.264 -.141 -.168 -. m -.276 –. 840 -. m -.442 –. m –. 861 -. aIl –. 690 –. 640 -. m -, ma :::: -z::I::z::::zz:: 7490 6s -. m -.260 -. !z64 –. lm –. 125 -.174 -. 2s2 -.844 -.410 -.811 -.811 -.279 -.574 -.640 -. 29s -. W –. 628

m.-—-+ —.. .—. - 7s.92

492 –. m –. 377 -, m -. m -. ma -. lJM -. m6 -. all -. m -. m -. %24 -.107 –. m –. Ml –. 624 -,689 -. am

%--.. . .. ....... ........ .. 84.89 Km -. m -. m -. w -.125

-. ml -. on -. m -.229 -. 14s -.181 -.148 –. 1L5 –. 246 –. W26 -. m -. m -. m

64---------------- 84.%3 a 74 -. 44a -.410 -. 22! –. w -. m –. 425 –. la -: g -.049 –. Wa -. w -.04 -.246 -.m -. am -. Um -. m ,~ r 29-.-- .. A-— .- —.. Mm L 4 -.476 -. 4X -, m -, MB -.077 -. on -, ma ‘ ,016 .~ -. Olh –. Ml -.478 -. 54a -. am -.574

m--------------------------

.64 -.476 -. a -. 2Z? -. m -. m .019 .- .115 .Om .m .cm . Ola -.220 -. 44a -. till -,557

I -.674

%“-...-..- . . . . . . . . . . . . . . . . 1%! 0 .... . . . ,. . . . . .

------- . . . ..- . . . . . . ,. -- . . . . . -------- . . . . . . . . . . .- . . ..-. . . . . . . . . . . . . . . . . .- . . . . . . . --------

-“-----”l--------”

TABI,m 10,—EXF’EIUMENTAL DATA [N. A, 0, A. 4!12 airfoil; oflectlve Reynolds Numlm, 41KL~ bat, varlsbltienalty lunrml 1W7-1: mnnomebr llquid, fdmhol] Orhlcea Valuea of prwoure mfaoiont, i% ‘l-pm for.dlflarantanglwofattaok —, StatIon 0rdlnat4 -~~o [W&$:: a

Dealmation -10”

-w -8” -6” -4” -2” o“ P 4“ 8° 12= M“ lr w w 30” hy$%$, Ohord) - p . . ....................... lm, 00 o -0,477 4, w6 -0,201 (1cn7 0,148 0,172 0.175 o, lIM -0,568 -0,566 0,164 a 17: 0,131 0.002 -0, w -0,804 -0,461 . “---------- . . .” --------- 87,88 -.435 -,420 -, ma ,ma ,143 ,164 ,17:

-,16 .166 , m .172 ,148 ,ma -, m4 -. 2ra -.274 -,880 -, a66

20. . . . . . . . . . . . . . . . . . . . . . . . . -,16 –, WI -.463 -.242 ,076 , M ,148 ,140 ,148 ,17: ,164 ,117

.172 -,015 –, 102 -,101 -, ml -. m

22 -,518 -,486 .116 ,128 , 16[

I%& -, -, 2S!4 .058 .191 ,172 , lao , ml ;g -,047 -.120 -; on

%I:::Z:X::H::::::II 34,94 2a -. B2c -,518 -, am ,Ot?a ,Ow ,163 ,144 . 10Q

-, .034 :% .198 ,172 :% .020 -,047 .010

31-------------------------- 74!Q!a -.62 -,623 -,634 -,015 ,042 ,104 ,141 .148

-,404 ,037 ,075 .169 . ala , m ,W4 .166 . lal “ .076 az_-.-.- . . . . . ..-. -.-.”.-”. -.626 -,642 64!94 -,486 -,071 -.006 ,018 ,060 ,ma , lZ ,169 .221 ,252 ,231 ,221 , ua ,164 ,246 8-- . . ...”.-..-.....----..”.. -,518 -,642 -. ml , Hi 64,43 j ~ -,676 -, lm -, ma , ml ,05f .148 ,220 ,278 ,810 ,278 ,289 , 2a7 ~826 33 . - . . . . . . . . . . . . . . . . . . . . . . . 40,08 -,602 -,534 -,615 -, 1R3 -.096 -, Oao -,004 .W4 ,091 ,14a ,2X ,296 .224 , a18 , alo ,633 .276 4. . . . . . . . . . . . . . . . . . . . . . . . . . . 4L w -1:64 -; W.7 -,626 -,660 -, a42 -, lw -, mo -, ml ,6X ,091 .146 ,246 ,810 . W ,346 ,2-43 ,318 ,424 84 39.ea -, m -, 6W -,189 -,112 -1. s0 -,689 -,307 -,065 ,010 ,071 , Ml ,aba .3W ,87.5 ,367 ,861 ,464 6.:::: --”-----”-”-----”---- . . . . . . . . . . . . . . . . . . . . .

34,W -2.10 -. W2 -,618 -,713 -, w -,209 -, Ma -,080 -,018 ,03i . lal ,261 % ,415 .407 .407 .381 86. . . . . . . . . . . . . . . . . ..-.”...- -; 494 -; 618 .2196 -2,20 -, 72a -f 494 -,874 -,201 -,120 -.051 , W ,116 ,260 ,875 ,464 ,448 ,440 ,432 :% 24,w -% M -, 48E -; 610 -,616 -. W -,274 -,177 -,104 , 01( ,117 ,278 ,41 .497 ,480 ,481 ,472 ;684 k---------”--”--------””- . . . . . . . . . . . . . . . . . . . . . . . . .

IQ,98 -2,76 -,48.5 -, ma :: ;2 -; 7oe -:477 -, 37a -,263 -,161 -, O!x ,091 ,294 .4aI .637 ,537 ,IEu , 5r$ , em 7. . ..- . . . . . . . . . . . . . . . . . . . . . .

14”94 -.2. w -: m -, 4!34 -; 721 -; 940 -, 6W -,464 -.404 -, 21a -,061 ,075 , ma .497 .610 .610 .4’34 . 73a 0,98 -2,.93 -, 4m -,494 -,718 -1,200 --- &8 -,784 -. M.8 -,316 -, 1X .068 , 87b ,686 ,713 ,707 .W2 :% ,891 8.:::---------------”-” ----- -2.72 -; 4n -,466 -, 6W -1; 476 -1,029 -. W -, a7~ -, 1s ,076 ,440 .676 .8141 .7U7 .773 ,W6 ,706 2$-::-”----” -------------- . . . . . . . . .- . -”.....-- . :E -Z 46 -, 4n -, 4W -; ma -L 786 -1! 727 -1,164 -, 44d -,184 ,126 ,564 ,919 ,878 -.766 ,797 .W ,802 . . . . . . . . . . . . . . . . . . . . . . . . . . .

aw -!2! cm -, 40U -,477 -, 6W -1,719 -u 841 -1; 236 -; ‘ma -:477 -, w , B7 ,716 .827 ,902 .976 ,989 1: E .976 89.

1,40 -I, on -, 46! -,477 -!! -1,687 -.2.101 -1,822 -1,018 -; 446 -; 034 ,416 , ma ,919 ,919 1: (g ,984 ,927 10.”” ----------------------- ,92 -1. m -, a -,465 -1, w -a m -I, 7m ~:! 1:$% -,250 !271 :681 ,870 ,696 ,666 ,886 .724 40.::;:::::::::::::::--: .30 ; 70 -, rm -, 6X4 -; 932 -2 we -z 877 -$406 ; 160 !903 .221 -.815 ; 4M , lM ,OM 11...- -, 01!9 -,494 -1,224 -1: g: ; 81S ,198 -1, m5 -, 6W -,642 -: ~ :am $! -2 % -9.019 -:28 -, a65 41...-”---”----” ------------ . . . . . . . . . . . . . . . ...-..” 1, .66 ,Ow , %a7 ,057 ,836 :924 ,411 -:891 4, 2m -3,407 -1:451 -.746 ,2Q2 $! -$815 -:891 12_.. - ,44 1, Ml . 7fa ,s73 ,919 1, ml , W6 , 7m ,861 -1;664 -K li% -s, !M1 -,667 -; led -8, am -1; 880 -,680 4L ‘----”----------”---- 1, Ow 1:$% 1; $ ,448 -a, 346 Z 16 ,748 ,042 -, 45a -1, 7U -a, 130 -a, 010 -1,192 -,648 -,567 13.:--------” ------------- 1% 1:& 1; ~ ,8m :% ,6E4 ; 247 -c 196 -,663

2,78 -, Iafl -: m -L 719 -x 912 -8.678 -a 012 -; 640

&:””-------””---”--”--- . . . . . . . . . . . . . ...-...”” –, 591

, m :R .mo ,740 , Ma ,818 ; 010 -, aa -,721 -1,546 -% 620 -a; 464 -2896 -1, lea -,640

.“. ----------- . . . . . . . . ..- 2; ,529 -,166 !% ,370 ,773 ,700 ,OM .2W .Om -, 4n5 -:386 -1. /!73 + am -a, 822 -% 612 -1; 107 -.648 -, ml 44. . . . . . . . . . . . . . . . . . . . . . . . . . ,448 ,828 ,181 6,74 , ale ,621 -, Oao -; az3 -; Olta -,867 -1; 484 -2. 1.a6 -2, W.9 -1; 8111 -~ 05; -, Ma -,691

%’ :E ,489 ,809 ,310 ,188 -,189 -,4241 -, M -.699 -L4a7 -1.4$0 -1,822 -1,0’72 -,048 -,576

&56 $.:::::::::::::::::::::::: ,172 12,68 7834 ,480 , ao7 *ZW -: i% -. !mI -, boa -,765 -; W12 -1, a94 -Law -Law -Km -,966 -, Ma -, 676 . . . . . . . . . . . . . . . . . . . . . . . . . . -~2,g4 ;} ~ 7, B9 ,bm ,m ,lm , ml -: X -, lm -, a47 -, M2 -,729 -1,640 -1. 7a9 -1:711 -,916 -,640 -,576 -, ma 46. . . . . . . . . . . . . . . . . . . . . . . . . .

,818 ,’206 , lrd ,025 -, m -,242 -,806 -,667 -, Td7 -, ca2 -Lw -1, m -Ltjm -1. !451 -, am -t 640 -, Ml 19,ml , 24b ,1% . 64!2 -, ma -, lae -,291 :, ~y -; WI -,761 -:962 -1 Z7a -L682 -1484 -L lea -,640 –, ti7b $% -, 85(I :;”””---”””””-”-”----------” . . . . . . . . . . . . . . . . . . . . . . . . . . n 44 .140 , Ma -, mI -,104 -,242 -, Ws -, 6X -,737 -,869 -1.192 -1,110 –, 621 -L3W -Lam -,859 -, Wa -~~ 18.-. . . . . . . . . . . . . . . . . . . . . . . . Q;52 , m ,010 -,m5 -,126 -,218 -,368 -:436 -, on -,761 -1, 19a -l, wa -L 018 -; 810 -; 631 -,576 -.907 :~-- . . . . . . . . . . . . . . . . . . . . .

?, 2 9,62 -, ma -,104 -,164 -, !m9 -,380 -,510 -,761 -1, LW -1;821 -,676 .06a -: 8W ~+~ -: a40 -:780 -,631 . . . . . . . . . . . . . . . . ..”-..... . a, m 9, !’6 , OIH -, WI -, lza -,192 -,274 -, W6 -, ?410 :; l!i –17M -1.127 -1,166 -,!NI -, ma -,867 -:667 -; 709 !

4&._.

. . . . . . . . . . . . . . . . . . . Q,00 -, O&3 -,144 -,185 -,226 -, 2W -,412 -, W2 -,615 -,765 -; 810 -L 0% --: IZIZ -:916 -,631 -, 5W 34,W -; 746 -,721 . . . . . . . . . . . . . . . . . . . . . . . . . . 89,w -,186 -,242 -, 2W -,404 -, em -,581 9,84 -, Ma -,201 -, m -,678 -,701 :: ~ -,745 –. 048 -,686 60 -,135 -, m -,234 -,258 —,816 -, am -,460 -,542 J % –, ImA -, mo -,640 -,681 44”80 9,04 -,706 -: am -, Ma 21::---------”----------”-- -,364 -ttuo 4Q,w Q,2a -, m -,260 -,242 -,242 -,291 -t 487 -,667 -t 663 -,706 -,745 -,464 -, Ml -,664 -,591 51 ‘----”----”---”------”” . . . . . . . . . . . . “.....--. . . . . . -,223 -,258 -,881 -, ma -;ml 64.92 6,76 -, W4 -,266 –, 234 -. W8 ?% -,607 -; m -, Ma -,404 -,562 -,040 -,640 -, f14 -, abo -,218 -, 2W -, m -, 4xl -, 4M -, t.48 -, ml 60.64 &16 -,201 -,804 -, w -. M -,642 -,247 -,494 -,061 ;-”””-------”-----.--”---- . . . . . . . . . . . . . ...”.... . . . . -,446 7, M -, 8L5 -,815 -, ma –, 209 -, W4 -, 2al -,339 –, am -,467 -,468 .-,445 -, am -,477 -,622 -, 6!%3 -,607 . . . . . . . . . . . . . . . . . . . . . . . . . . -, m -, am -, m %% &70 -. am -, 8= –, 2-W -, In6 -, W7 -,647 —, 804 -,347 -, w -,647 -, 2W -.461 -,615 -,066 24. . . . . . . . . . . . . . . . . . . . . . . . . . -,177 74.90 5,88 -, m -,239 -, abo -,161 -, W8 -, am -,191 -, !W2 -, 2W -,286 -. X4 -,461 -,607 -,666 -, m 62. . . . . . . . . . . . . . . . . . . . . . . . . . -,144 –, m -,193 79092 4,92 -, a8B -,347 -, !442 -,186 :: z -, 2W -,217 -,218 -,185 -,266 -,44 -, J!411 -. 04a -,599 -,104 -, lm -,103 -,161 -, 11!2 -,129 -,691 84,m &89 -.412 -, W -, m -,144 -, 12S -,164 -, Wo -, 42a -, m7 -,631 %“----------------” ------- . . . . . . . . . . . . . . . . . . . . . . . . 2! 74 -,428 -,604 -, ma -,07[ -, W8 -,098 -,047 -, mu -, me -, m5 -, m8 -,066 -,268 -,420 -, ml -,616 :: $!

% . . . . . . . . . . . . . . . . . . . . . . ..-.

E: 1,48 -,461 -. w -,193 -, ln7 -:$$ ,060 ,050 ,042 .050 -, ma -,260 -,404 -,501 -, Ml n-- . . . . . . . . . . . . . . . . . . . . . . . ,63 -, 4n -,836 -, lm ,010 :% :% , Ma ,128 ,M6 ,118 ,Wa -, 24a -,230 -,477 -, W7 -,653 23. . . . . . . . . . . . . . . . . . . . . . . . . . ,-. . . . .

1%8 0 ..-.. -.. .. ...”.. .. . . . . . . ..-. .“. . -- . . . . . ,.-.. . ,-.. -... .. . . . . . . ----- .-. -... ,-.. ---- --..”. ..” -----

Tmm Id.—EXPER.IMENTAL DATA

~. A. O. A. 447!2afrfofl; eikwtfve Reynolds Number, cm,~ teat, varMfe4emrI@f tumid, 1027-Z m~OMe* liquid, almholl P-P ~ for dffhmnt fmrik of attaok

Orirllm Vafcles of presmre mefflofenb P-?

ordblate Pebe:t c

o“ w 4“ 8° w ls” 24” 30” 16°

–2W –UP –8° –6” –1P –4” ohord)

o. Oal

~ %7 0.128 -0.626 -. &7 -a 225 -0.262 0.219 0. Ml

-0.400 28-. . . . . . . . . . . . . . . . . . . . . . . . . 100.w o la% -o.lm O.ma 0. W6 f;% a 120

MJ ,101 –. 339 -.087 –. 122 .170 .210 .178

-.437 L------------------------- 27.22 –. 16 -,197 .143 . M2 ;% .145 –. 217 –. 2m .007 –. (w . 1s7 .146 .124 . lm –. 469 %- . . . . . . ..-.. ------------- -.16 p. g –, 2m .lm .199 –.041 –. 037 ,Om ,022 ,182 .162

-.606 2-------------------------- %% —. !22 -. m2 . Iol .U3 :% .120

.!M1 , Ml %’ –. 006 .m . M6 .!M8 .lm .170 .163 –. 628 M_ . . --------------------- 84.24 -. 23 -. E34 –.242 .076 .(M4 .Io6 .141 . lra .141 –, 637 .r&6 .264 .227 ,180 .076 .146 .146

7462 -.624 -. w . m AL . . . ..-.-. - . . ..--” -------- -.62

.214 . m .m6 .2s0 .266 .125 :i%

-.676 !3494 -.620 -.473 -:24 -.013 :!3 .044 =-------------------------

.229 .276 .170 :% :: .824 .228 .31a .Om -.679 –. 622 -.671 –. ma –. 074 -.023 .007 & -----------. --i $ ----.--’.4.- .320 .170 .337 .877 .261 .249 .034 ;Yj .251

-, 5n z. f -. m -. 6m -.181 -.om –moaa –. m 4a--+-------.J-A- -L 44

.245

–. 675 . M8 .346 .349 .414 .38s . m -. Ma –. 074 -. m4 .066 .259

Am -,600 –. 609 –. 184 4..-- . . . . . . . . . . . . . . . . . . -L 64 .877 .132 .m .463 .414

–. 257 ,414 -.603 -. m –. !237 -,176 -. am ,076 –1, m -.107 .m7

26.98 AL----------------------- .414 .163 .8N7 :% .449 .446 .44.6 :E .064 -. MO .276

-.662 34.!xl -. 4s% -.746 =. g -. %21 -. w 6--------------------------- -% 10

.447 .146 .414 .467 , 47% –. 665 .M4 .487 -.404 -,770 -.239 -.122 .03u -. lm .!W 29.w 86.- —. . . ..- ------------- –a 30 .487 .I.m .438 .M41 .m .620 .523 -. 184-I –:% .011 -.647 !x. !xl -, 4ml -, 7%’ -:490 -.373 6-------------------------- -264 –. mo .626 . m ,471 .W1 .632 ,3+XI .677 19,!23 -. 4m -.787 -, 4’M –. 268 -.116 -. cm -, w :E –, m -.640 36—--.-— ----------- –a, 76

.m .6m .330 . ~8 .634 .8m

-.626 -: m -. .s36 -. m –. 976 -.188 –. m6 -z m -:4s4

14.24 -.779

—t.618 .707 :% ,021 ,727 :% ; ~.i ,703 –. m6 -. WI –. am -,116 -. w

9.66 -,481 –, 76a -L M2 k:::::::::::::::::::::::::: -2.86

.7W .711 .ms .8M .832

–, 518 -.481 –. 762 -Lml -Lml –. 662 -,336 -. lsl -z 72 -.4$7 :%

8---------------------------

.146 := ,W2 .961 -.412 -.144 -L 174 .M2 -.614 :2 -; 461 –. 730 -L 873 -L 764 -. m W---- L:.-. ..-.. .--- . . . . . . -246 .m2 1:% i Ml 1.000 -.514 :% ,23?3 -. 4n -.764 -2 ml -Z o12 –. 943 -.463 -f C91 –!206 -L401 .727 2.92 Q . . . ..--. -...–---a -------- .939 . 4m L 016 ~g .370 -: JS1O .636 L66 -. 4n -; 73a -2,673 -2 m -L 026 -.416 .0a6 m.-. -:--: ----:-- .......... -L 00 –L 327 .41uj -,610 .739 .676 .Sm :E -.477 -2.673 -. W2 -. m .271 -1. m

.62 -z 228 10------------------------- -Lm

.921 .164 -: E -.819 -,3s7 .23 -..502 ~, E -2169 -.2. m -.621 .174 .6m do------------------------- -:70 -1:476 -i E -: ?; -.693 –, 614 . m? -i z -27$7 -3. full 0 -_: g -L 141 .W ,849 .% -.249 –, 608 –: ~ n_...- . . . . . . . . . . . ..4------ Q -2.077 -2.842 –. 7wd -4.621 -4. m :21.4 .m9 -:604 0, .Za7 ,926 1.024 .833 . 7m .CB6 41------------------------ - .68 -L SS5 -.169 -2. m –, 64a –. 671 -4.783 4623 ; 362 .44 ; 7$ .841 ,961 .627 .732 .23a -1. 6i6 =--.:. ..... .............

–1. 792 -.&n -4. 2m -L 731 –. 432 -8, 19!2 -. Ma -k 268 1:% L mo LmJIJ .762 .496 .W4 ,04 “..., ------------------- -L 743 -. m -2.916 -. &16 –. 671 -8. MM -4.100 -L nl :W2 L W ,876 LfUM .M8 . Z16 –:% 18----;------------------- –L ~ -. ml .910 -. no -Z m -.662 -2742 -3. 7m ;: .972 -.336 -L 626 .378 . 74? 43--- -. . . ..--” -..- . . . ..-.

-L 405 ,-.811 -Z 326 -: 6fa -.676. +668 -X 416 .764 L40 :ti .&a .6% :% -: E –, 42a 14_.J_-.A,i..J+.. -L MO .862 ,,.

1 I

-L 2Q6 -. m2 -2036 –. 062 :: 6&6 -2297 -2. 13a -L 4m .601 7.50 .716 .624 .421 . Em -. C411 -. m –, 696 6.74 .141 &.

-1..ma -L wa .476 ~.fi -L 667 -.648 -a 089 .334 .846 .194 -. m -.878 –. 066 .013 -1.4!Ya _.-::::::::::::::::::::: . E417 -x 141 –L 743 -.632 –. 676 –L 707 –1. 87Z

.363 -L 2m &% .479 .267 ..$tm –. 302 -.481 –. 718 H! –. 103 a— -----------------------

-Km .267 -. m –L646 -, 04a –. 676 -1. m –Lmo 14.02 .894 .186 .lsa -:2 -.366 -. 4$s –. 724 -,168 -L m 16------------------------- -L 019 -L 604 -.696 -L 646 -L28a -1. 2s7 .m –, m -. w 17,44 .808 . lla .W4 -,077 -. w -. w –. 764 HI -. mu 46._.. =-------------------- .966 –. mo -1.491 -. 64a –. 676 -L 622 -L 261 –L m6

.117 19.m ,236 -. ml -.126 -.449 –. 362 -,762 .-.. J-...- .. . ..-d---- am

–. 926 ~: ~ -. 6S3 –L ml -. 3M -. Ma -L 434 –L 1.43 !m.44 .163 –:% -. ma -.149 –. m2 -.677 -. m :; —------- +.- —------- .. Q.10 -. S71 -. Sm -.636 -.579 -L 321 –L 007 –L 173 -: % !24.22 .129 -. mE -.029 -. ml -: 4W -.687 -,769 0.62 -. mm -.844 –. 880 –i sm –. 64 -. w –L X12 -.847 m. 44 .062 -.111 -. MO -.254 –. 518 -. 60( -.766 --. -.-. -.. —------- 9.62 –L ~

+-:::”--”-”----”--”-”---”-

-.807 -. am -1. mo -, 66! -.45-7 -L 116 -. m -L W –. 087 28.S3 .011 -. la –. 164 -.274 -.6U –. 696 –. 7M .-.- ”--” . . . . . . . . . . . . . . . . . Q.76

–. 762 -. m –LOD3 -.632 -.601 -.821 -.648 -.578 -; n2 -. w

-. ml MIM -. M -. lm -. ml -, m -.618 4Q_..:+-.----.- 4..... 0. w

-.722 -.m -.621 -.734 -.647 -.876 -.197 –. 742 –. 266 39.m -.119 -. !2M -.217 -.302 -. m –. 64.! -. m4 20. . . . . . . . . . . . . . . . . . . .. . . . . . Q.64 -.706 -. 6m -.852 -.634 -. m -. W -.602 -,41 –. 6L! -. Sm -.796 -. 24d Am -,170 -. %6 -. m -.311 L-; . . ..+-------------- 0,64 -.677 -. 6M -.477 -.237 -. m -.718 –. m -.481 44.92 -. m -.241 -, ml -. m -.437 -. 4e4 -:577 n . . . . . . . . . . . . . . . . . . . . . . . . . . -.636 9.22 -. 66B -. w –. m -. 04c -, w -.412 –. 403 -. w -. m -. .5&5 -.274 6492 -,229 -. !Mf -. 2!M –. m -, m AL----------------------- &76 -.65 –. m -.606 -.624 -. mf -. ma -.461 –, 249 -. m -.284 -.437 -.630 -.302 -. m la. M -. m –. lm –, ml 8.18 !42––– . . . . . . . . . . . . . . ..- –. 662 -. * -.412 –. 64$ -. als -.342 –. %1 –. 24a -. w -. m2 -.437

-. m 64.SUJ -.302 -. 27( -.197 -.241 7.64 m.- ... .. —--------------- -, m

-. m –. 222 -.319 -.644 -. em -. m -.467 –. m -,176 -. m -.30$ -. m –. 327 –. 376 -.234

-.342 m. 86 -.827 &76 =----------------------

–. m ~. -.226 -.644 -. m -.816 –. 467 -. la -. ml -. m6 -. 2m –. 361 74 m -.361 -.264 -. 16f -. w &m &--------------------- -.216 -. m -.1441 -. m –. m -. 2oa -.462 -. W -. 1* -. m -.164 –. m -. m6 -.172 -. 36J 72.22 -.874 –. 2U 4.22 . . . . . . . . . . . . . . . . . . . . .

-. 37t -. Sn -. Ma -.074 -. 6X –. 687 -.294 -.44$ -. 23? -. M -. 0s4 -. 7Z -. ox -, KM -.111 -.115 84.8s –. 4a &s -.661 -. m -. m -. m -. 67s -. m -. w -,024 -, w -. 01[ –, w -. m -.018 -, a mm -.411 -. afi –. m %74 L- —.. —-- -. 39! -. m .076 .an -. m? -.647 -. m -.42$ -. lw . ml .m .M4 .m .lM6 Xl& .072 Mm -.441 La &-.. —_-.-.— -.46 . la .0z3 -. 34? –. 656 -. m -. u .fm .lx .l&! .lsa . Ml -. W4 -.457 –. 184 -u .C41 Z—--------------------- . . . . . . . . . . . . . . . . . . . . .--. . . ------- . . . ----- ------- ,------- lE % . . . . . . . . . . . . . . . . . . . . . .“----- .-- . . . . . . . . . . . ... .... ........

.. . . . . o . ..-.. — -----------

TABTm Ie.—EXPERIMEN’.ALAL DATA

[N. A,& A. Mll alrfoll; rfkollvo Reynolds Number 1,800,LW twt numhom and mmiomrtcr llqulds rrlvmrIn hxd nolra] Orblm ‘l-pm fordifkimnta nglmorattuok Vnlum Orpmsmrm mmfOoiont,P= —I

—-

Ordlrmte Fltatlon :rJ&hm;:c .200 .-16. p#jy# ‘-1P L.90 b-on Ddgnatlon b 1P ohordl Orohokl) ‘

k

—l—l—

0.048 0,181 0,123 2s . . . . . . . . . . . . . . . . . . . . . . . . . . . . o .. ... .. .. -; 80J 0. lW 0. ml 0: pJ 0,191 0.178 0:$ 0.016 -0. lW -0,324 -0.881 -. ~; -o. MO ,048 , Im ,170 -.16 . . . . . . . . . _. ~2 ,176 ,173 ,176 ,172 ,IY36 -,068 -,187 -, !40Q -,822 . Ill ,144 k::::::::::::::::::::::::::: -,10 . . . ...””. , lM ,124 , M-4 , led , 16H ,170 , Ml -, ma -, MM -,187 -,137 -: z , C97 ,110 2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ‘:. ,128 ,180 *138 ,168 , 16s ,101 . 17H % .024 -. Om -: g -.% ;:::::::: -%072 ,Om 30.. . . . . . . . . . . . . . . . . . . ...”. . . . . ,103 ,128 , mrl . lm ,100 , ml ,206 .173 :% , lon .048 ,007 , 14a Y 144 ,012 ,048 ,067 ,C41Q ,1011 ; 21: ,242 ,246 .230 ,216 .16.5 , loil 31 . . . .. . . . . . . . . . . . . . . . . . . . . . . . . 74.23 -, ~ ..... .... -,407 ,166 -, 2Z4 -,047 -,010 .m3 , ml ,168 ,!MKJ ,802 . 2Q6 ,266 22. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 04,94 . . . . . . . . . -.620 ,024

-, la -.071 -. 02H :K ,068 ,106 ,344 :E .mo ;: ,360 64,48 --24 . .. . . . . . . -,670

-,206 , W ,Z32 ,806 -,410 -.168 -,101 -,062 -, (B34 .140 , wa ,820 .296 %:::::::::::::::::::::::::::: . . . . . . . . . -, m7 .024 ,874 .388 .826 49.Qn -1,44 -, IErd -, 1B6 -,079 -,024 :E ,142 ,417 ,422 ,410 ,432 4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44,90 -1,04 . . . . . . . . .

–, 300 , Om ,260 ,841 .4’02 -.626 -, M7 -,174 -,110 -, ln7 ,014 .0a6 ,462 ,46s ,463 , 47rl 34.. . . . . . . . . . . . . . . . . . . . . . . . . . . ... ...”.”

–. 460 ,140 ,204 ,3m . 4m -. MO

--~: -,426 -,206 -, m ,134 ,469 ,400 5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . -,676 –, ~m –, on -, m ,078 ,276 ,886 ,’W4 .511 .626 . . . . . . . . .

-, !2!.4 -,112 ,063 ,647 .602 36. . . . . . . . . .

-, mo -,879 -, IQQ -,0241 . IZl ,Zr4 ,410 .604 ,626 ,61W -% 30 -, Iwl

-,977 ,004 ,Om 6..::::::::::::::::::; ::;:::::; :, ~ -,491 -,274 -.170 -, on ,01s , l!M ,290 ,484 .647 ,666 ,61Q -a, M . . . . . . . . . -,727 -,637 -,407 -,871 -,247 -,136 -, m , Oul .aon ,462 .627 ,624 .066 ,040 .06Q oo-. . . . . . . . . . . . . . . . . . . . . . . . . . . . -2.76 --------- -s 744 -1, m _- f144 -,671 -, m7 -,242 -,217 -,631 ,070 .297 , ma .M2 ,(?D8 .727 .712 ,741 7- . . . . . . . . . . . . . . . . . . . . . . “.. ..., 14,’?4 -2, m . . . . . . ..- -,784 , we -1,331 -, Q37 -,71’2 -,623 -,312 -, Ilo ,Om ,W.5 ,021 .777 ,Em ,820 ,r434 m . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Q,M +26 . . . . . . . . . -, &!4r2 -1,074 -L’ 460 -L 124 -, w -.648 -, me -, la .Om ,464 , 70Y .860 ,W9 .929 ;g ,80Q ~ . . . . . . . . . . . . . . . . . . . . . . . . . . . . -2.72 . . ...”... -, w?

L 014 -2! 151 -1, Ma -1,6M -1.101 -, ma -.’434 -,134 ,130 .662 ,267 ,971 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i!! -20. ;.:::::: _- ‘nJ -a 40 - -% 621 -z 7t!d -2.070 -1. 464) -, Ml -,478 --,(UI1 ,249 ,730 :%% 1, m7 1:%? 1,022 1,w K(B37 9--. ---.. ”- . . . . . . . . . . . . . . . . . . . . 2.42 . .

-4,072 -8,631 -a, 406 -1, em -1,624 -, 4s ,049 ,436 , all 1:g ,878 ,mo .823 .866 .086 39. . . . . . . . . . . . . . . . . . . . . . . . 1, M -1.00 . . . . . . . . . -’. ma -a. 701 -2, mb -l,78a -. W -,248 .238 , (!87 1,mo ,432 ,2+S ,410 ,727 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ,03 -I, !ll . . . . . . . . . -Lm -41028 -n, 2m -4,018 -2,661 --: g; -, m ,170 ,660 .m6 . 1.% -.Q21 -1:%3 -1. !ml _~ ~~ ,144 K_ ................._ ,26 -,70 . . . . . . . . . - L 007 -& W3 -2. S6S -1,181 ,4m .WO sg :% . 17U -L438 -& ml -s, ma -a, 004 -,693 I l . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 0 . . . . . . . . . -1,023 -I, M6 -,497 ,223 , Q47 , 46Y -, Q74 -B. m -b, 2D6 -6, Km -6. 46Y -i 676 -,040 41.- . . . . . . . . . . . . . . ..-. -- . . . . . . ,63 . . . . . . . . . -,137

,OU .W4 0

*817 , 7m , !a66 1:~ #ma .s12 -,231 -1,706 -B. m -n, 766 -b, 802 -3.878 -, E&3 ......... ,743 :> g ,976 1,mo ,747 :%!! -,437 -LEWI -8.387 -6.151 -4,768 -3. 2m -, mll :: &.:::::::::::::::::::::::::::: i% ... ......

,mo .226 ,QD4 ,Qm ,s46 -: % -,046 -l,71m -8.006 -i 2M -4. 8M –8, n49 -!4 6,54 -,669 1,7n 13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ~~ ,731 !2.78 --------- .744 , 8]0 -: r4 -,867 -l, i?m -8, 38tr -8,345 -2. 23s -1,410 -,661 43 . . . . . . . . .

. OQo .384 -,706 -2. 7E4 ,628 -,217 -, ti17 -1, m2 -2.863 -2, Em -, 2.s1 14------”--”-”--”--””-””------’ . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

,371 ,Iw4 :% .Rsa -, W -2.822 –% WI -h 272 :E :!!3......... ,836

,70.5 ,407 ,824 , IW -,611 -L 4M -2. 0fh5 -% 476 -2.874 -,064 -I,2W -: O!& 44. . . . . . . . . . . . . . . . . . . . . . . . . . . . .

-, (W -, w -, ml 7.Ml ,ma .5,74 . . . . . . . . .

-,201 -,444 -, f17a -Lmu -2, 07Q -d 664 -1.622 6, Ml . . . . . . . . .

.ma ,860 .1116 -, Qm -1, 4on -% 2m J g ,664 In. . . . . . . . . . . . . . . . . . . . . . . . . . . . .

-Lms -1,206 -1. tMQ -, am 46. . . . . . . . . . . . . . . . . ..-.. -.- . . . .

,.446 ,226 , Oill -: ~ -, Em -, MM –, 7m -,966 -2.048 ,422 -1.231 -,89’2 7,34 . . . . . . . . .

-,748 -1,322 -,601 10.. . . . . . . . . . . . . . . . . . . . . . . . . . . .

,200 ,1441 -,016 -,174 -,806 -, 6cll -, Q67 -1,347 -1. 7m -1,047 14,92 ,846 -1, m Y 870 7.118 . . . . . . . . .

-L302 -I,43U 46 . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

,266 ,061 -, !M9 -,236 -,400 -, Ea4 -, 7ea -, rr67 -1,628 –1. 763 -,661 17,44 .2m -, m -, we &40 . . . . . . . . .

-, M6 -Lw -1,817 17. . . . . . . . . . . . . . . . . . . . . . . . . . . . .

. xl -,006 -, 2m -,444 -, 8?4 -,780 -, em -L 643 –1, 040 -,601 19.P3 ,M7 -,734 T 849 R,80 . . . . . . . . .

-, mrr -,661 , 12!3 -,068 -,197 -,329 -,479 -,646 -, 9!51 -lim -1,4Q3 -1,647 -1,187 !4244 , IZ4 ~, 71g 7027 9,16 . . . . . . . . . 47. . . . . . . . . . . . . . . . . . . . . . . . . . . . .

–-: 0J4j .W% -, KM -.231 -, 86q -,427 -,053 + 791 -, Q37 -L 189 -1,414 -1,430 -,601 24,02 ,072 -.$27 9,52 ......... 18... . . . . . . . . . . . . . . . . . . . . . . . . . .

.030 -,140 -,286 -, Wa -, riu -,667 -, 7Ni -, Q21 -1,140 -1,347 -; M4r 27.44 -.612 -, Em ‘a, 02--------- $............ - . . . . . . . . . . . . . .

+g .IWr -,172 -, m -, m -,517 -, m -,847 -1,0U3 -1,274 -. ml -; 6m 20,Fa -: !% -, mu -,627 a, 76 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

-.063 -,063 -,211 -,810 -’, 4(J8 -.818 -,628 -,782 -,842 -1,002 -1,140 -1,024 –.002 -, 67PI 0$: -, 07Q –, 664 -.818 9,en . . . . . . . . . 49. . . . . . . . . . . . . . . . . . . . . . . . . . . . .

-,216 -,812 -, San -,441 -,624 -, Om –, 771 -, m -, QM -, Ii-27 -, (%23 -, 0n3 -, lm -,682 -.813 :3J --------- m. . . . . . . . . . . . . . . . . . . . . . . . . . . .

–. Om -,7.22 -,241 ‘, 8~ -,477 -. ma -.641 -, 71!2 -, 81Q -,390 -,076 -, !%22 -, 6tr3 4( a -,165 -,632 -,ltoo . . . . . . . . . m . . . . . . . . . . . . . . . . . . . . . . . . . . . .

-.394 -, 11(5 % 227 -,204 -, 367 ~, 4Z4 -, m7 -, MJ3 -,619 -, m -, 7b2 -.618 -,604 -, ma 4Q,M -,172 -,626 :. 9:22 . . . . . . . . . 21 . . . . . . . . . . . . . . . . . . . . . . . . . . . .

-,120 -,218 -,270 -,28.6 -,400 -, 4Q3 -,642 -,1117 -, ma -,430 -, all -, 6KI -, 1U4 -.632 &76 . . . . . . . . . 51.. . . . . . . . . . . . . . . . . . . . . . . . . . . .

-. m 54,92 –, 127 -,211 -, 2M -,204 –, 3m :44 -,443 -, a ::64: :: ~ -,267 -,484 -, ms -, am -,626 –, 748 &16 . . . . . . . . . w w. 94 -, W -, ml -,241 -, !AKl -, m -,400 -, w -.246 -,493 -, mo -, mm -, no 7.64 . . . . . . . . . no:::::::::::; ::::::::::::::::: 6LIXI -.237 -,137 -,178 -,218 -,278 -,814 -,341 –, 871 -, MM -,817 -, 4R2 -, Om -, M2 -,626 -,766 a . . . . . . . . . . . . . . . . . . . . . . . . . . . .

-, w -, ma &76 --------- -, 12Q -, lKl -,174 -, loQ -,227 -, 2m -,241 -,476 -, m %% -, nla –, 766 (i, 89 .. . . . . . . .

-,270 –, !&l! -, m -,202 –. Xnl &_ . . . . . . . . . . . . . . . . . . . . . . .

-,122 -,122 -,140 -.168 -, lnr -,216 -, “m -,219 -. IE4 -. !Wl –, 4m -.811 . . . . . . . . . . . . . . . . . . . . . . . . . . . .

-, X84 -, mo 7Q,92 -, !W -.722 Am . . . . . . . . .

-, K@ -, ma -, CQ8 -,106 -, Ill -,142 -, lm -, la -. ttw -,273 -, 4E$ -,870 -,604 -, ml 20. . . . . . . . . . . . . . . . . . . . . . . . . . . . 3,29 . . . . . . . . . -. 2m :, ~ -, w -, W-5 -,a41 -,061 -, Om -, 2m :: !l# :: fg -,047 !2!74 .. . ...”..

-, 07Q -, 6% –, 062 -,020 -.482 M.--. . . . . . . . . . . . . . . . . . . . . . . . –, 2!?.7 -,023 ,643 , Mm , ml -,012 -,262 -, ma -.612 m.... .. .. . .... . ... .. . ... .. ..

,06s , M7 ,665 .cnn 1:: ~....-... -, m , lIH ,196 , 1!24 ,124 ,13a ,114 -,220 -, M7 -,410 –, b!ro . . . . . . . .

-, m , J06 :E .W -. 3m 27. . . . . . . . . . . . . . . . . . . . . . . . . . . . -,324 .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..-. . . . . . . . . . . . . . . . . . . . . . . AM.._.._ . . . . . . . . . . . . . . . . . . . . .

.. -..., . . . . . . . . . . . . . . . . ...”. .. . . . . . . . . ...”. . . . . ..-. 0 ... . .. .. . ... .---- — l That, vnrlabladanalty tmnnl 109%1; manomatarllq d, kabmmoathana.

33 *Tm&vartabla-dans!tytururel lC97-6;manomoWlIq d, mhol.

TABLm IL-EXPERIMENTAL DATA [N. k C. A. 4412 airfofl; cffectlve Reynolds Nnmter, S,4M,~ W kmmbars end menomcter Ifqnkh given ltl footnotw] ‘P-Pm

orifkrs

eoefdckrl~ P- ~, for dlflerent anslea of atteok values of pre?smra station Ord4neta

Ybymt e

~(g .24. .-& .-p .—4.

Desknatlon 4CP b38” of Oboid) “ chord) , o.

100.w -- ~ a ns also a 013 -0.611

y... -.-..-...” --------------- –a 170 0. lW 0.195 0. 2m 0.175 a no -0.184 -0: ~y -_: g -a 508

97.92 -;16 -. In ;L57 . 16S .168 ‘% .178 .160 ,122

. -------------------------- .- d&J .C@2 .m3 –. 235 –. 324 –. 16 ~ %2 –. m .12n .189 .’le4 . Ma .lm .lm AS... -..-. —----------------- .146 . f57 .134 –. ma -. m E: -. ’32 -.249 .Om .lm ; 121 .146 .164 .157 , 17B

2-.. ----__ -,-, ----------------- .425 .176 :H .220 :!ii –. 019 –,M3

84.94 —, 28 -.498 –. 2m . 0S6 .150 .1474 .lwl .2m 80... - ..-. —.- -------------- A74 .099 . lm . W .214 .268 .Mo .067 .037 al . . . ------------------------ 74.fn –. S39 -.285 -“:015 :Om :121 .149 . lm .214 .2443 ,282 , ml .192 —. ‘ma

:W7 .248 .an Xm

64.64 -.688 –, 471 –. 091 –. rb44 -: E m24 .123 ,158

a2---------------------------- ,Zm .3443 .395 .395 ~~ .3M 8. . . . . ”.--+ 5448 –. ma -. 5s6 -.112 .117 .140. :G .W .2E2 .-i% ---------- ,---- -.184 -,062 -. MO :% .448 .’W .397 i% 4; m .-1,.44 49.$3 -,058 -; 238 -,163 -. MS ““,046 +138 ,239 –. w :% .818 := -------- . . . ----- . awl .432 -“ m6 -----~-J-+---------++ ?---------------------------- 490 –. w -.694 -,295 -.196 -.127 .142 .264 .248 .522 -1.64 -. MO .042 .628 .440 .487 –, 019 M--------------------------- a9:98 –. 676 -.740 -;WI -,143 .031 .lm ,142 .268 .368 .460 ,5-54 .670 .4M =;: -:241 -, 10b -:037 8----------------------------- 34.90 -.701 –. MS –;453 –; 818 -.227 -.162 -.012 .m9 .335 .272 .382 .622 .468 .5s4 .002 g -,084 %---------------------------- 29.M -. m –. 841 -:6YI –. 277 –; lM –. 01.5 .074 .182 .4a9 .334 .618 .mo -230 -. a74 -,. 10!4 6---------------------------- 24m -.722 –. SW –;694 -:486 -.387 -:274 -. m .04a .11o :% .435 ,678 :% –% 64 -, Im .mo .682 .677 m... -...,--..-.- . . . . ----------- 19.m -. ?/2 -.069 –;891 -:4m –. II.6 .m .MF1 .3M .416 .627 .714 .746 .677 .742 -% 76

-; 683 –;274 ,-:245

1; ~ 7- . . . . . . ..” . . ..”-------------- -. m –Lore -1:185 -.072 –:M8 -.044 ;~ .MB .409 ,758 .817 -.196 –2.’W .&m .097 –:851 -.%6 m----------------------------- –. 8$7 -L 049 -L 662 -L lUO -.948 -.726 -. C91 :E . M.7 . ‘ax -.206 -2. M .6= .813 .W4 –.’507 8.-.. ”. . . . . . ..” . . ------------- 7: m -.916 –Lm3 -2.071 -L4.M -L IM –.877 -.112 .074 .448 . QS4 i E .936 ,678 –. 363 -.’622 –2. 72 .709 .896 –1. 140 =..--. -.:------------------- 4.94 –. 973 -2789 -L W2 ~AQJ -L’142 -,119 .107 ..5$2 1. m4 L m!3 LCEYI .978 -.489 -.’sm -248 0--. -.”-- . . . . . - ” ----------- 24!2 -LM8 –L Sd& -W76 -2662 -LW -.4)62 .221 .781 L m .938 .989 .976 –. 478 –2X4 :E i% -.977 1.66 – l:ea ~:.. ---.. --,----------------- -L651 -a 036 -4.’336 -a860 -2.463 -k734 .4367 .401 .745 .781 –. 425 LOO4 .867 -LQ70 . . . . . . . . . . . . . . . . . . . . . . . . . . . . .92 –1. 501 –1 677 -k 2S4 -8. m -2. Sal -L 640 .8M .638 .061 -: % .275 –:% –LW -. 7a7 it?i ,864 -Lwo ,2a $::------------------------- -2.947 -4,077 -7.407 -4.167 –2. m -1.006 .9M -1 8U ~~ ~ -LM8 -L 174 m .157 .918 , .150 –1: % -.+M9 - . . . ..-. .- . . . . . . ..--- .—. - o -L678 –2. 617 -6;265 =: ~ -1: ~8 -.’299 iol .957 -4.755 -a 464 -& Ml 1’ .$42 .121 –1. 670 -4024 .264 41.. --.-.. -:-..:-------------- .m 0 -L 232 -L472 -a 635 Am .871 .501 -6. WO –7; 168 –4. 544 -8.977 -. 0% ~ -3. Km -5,.717 Lm7 ,048 .44 ,390 .369 -.023 ,7156 koll –6. 760 ~; ~ -4206 -3.324 .716 .440 -.170 -i.67a -3. 5m –5. 728 .J331 $: I:::::ZI::::I:::::::. .M .7241 .767 ,641 ,978 i~ .A43 -5. cm -3.467 -2.333 ,440 -.473 –L 824 -3.474 -5. 22s .774, . . . . . . . . . . . . . . . . . . . . . . . . . ..- .966 L’ml .930 . ma -4.750 –i 669 -2,546 -L5E@ .232 –: !?% -. w -1.752 -3.4158 -4.274 .577 43. . . . . . . . . . --.-r--------- .-. . ;: i E L 022 1:% ,W6 ,774 .,580 -3AM -3.775 -L784 -L128 .010 -.835 –.715 –L.662 –2, 642 -8,.578 .A43 U.- +9Q .WJ3 , .943 ,%928 ,,762 ,662 + 268 -8m45 -L217 -,878 –. 472 . ,~7W ,-L344 ,-2337 -3/ 065 l;-l w “i247 + j

“11

*-~::-~~---;”-””-””’ :

d, 877

. . . . . ..___--’-- ‘ 7.M 6:74 .881 ‘ .802 .778 ,611 .864 :. tm -2.725 -2471 -am -,859 -. 82R -.507 -.056 -L454 -2075 -2.612 –. 64U -..le4

.718 .084 .043 .214 . m4 -Z438 –a 187 –. 819 -. w -.410 a66 -.877 -L.297 –L 981 –2. 858

$:::= :::::::::::::::::::::- 1: E –. W46 7:24 .5W .666 .619 :E ,Om –. 084 -!U200 -LM4 -. m –, *9 -.684 -.268 .898 -L.8m -1.309 -z 154 14.99 . . . . . . . . . . . . . . . . . . . . . ..- .- . 57a ,478 .426 .153 .017 -. UM -a m4 –L.643 -.780 -. 7tM -. 5% –. 704 -.317 7.88 -. W -L811 .–1,716 -LOW AM.-: ---. --.. ---.----------.,- 17.44 a40 .423 .390 .24 .074 -, MS -. au -1.S65 -1.452 –. 780 –. 769 –. 241 -.722 —,871 -, W2 -Mm -1. m4 -L852

II

..

Ill m .331 –. 72a -. 7W ~. km

.818 .264 .010 -.116 .2741 -1.722 -L2M ,:. ~ -.. -.-405 .------+-4--------- -L.= -L666 -L 741

22.44 .247 .196 -. cm -, ml –. 31s -.747 :.. -----... -”--------------- 9.16

;;; -1.611 –LIM -.720 –..442 -L 221 –1.504 –L646

VL’aa .143 -. 7C4 –. 740 ........................ .. –. 884 -L 164 -L418 9. h2

. KS -.091 -. m -.883 -LMO -_7j8J –. 740 -.015 -. m -L628

27.44 .142 .m6 -,234 –. m –, 638 -, # —*471 g::---.--_--.+-_.------ 9,62

–. 127 –La72 -.73a –.704 ~. -L 12S -L2M -L4z9

29,89 .:% -1..261 -.716 -. w -.611 –. z ............ ............ -1.074 Q.76

.103 .004 -. Ul -. 2s2 -.a71 -.847 -.471 -L 276 -L 823

i II

%98 -, M –-m -.704 -.676 -. w Q.Rl 49----- . . . . ..- A_&...- -. ml -Je4 –L 146 -L 135

.028 -. m -..285 -LM8 -.W —.476 j 84.m –: E -.012 -:E -..!M2 -. 22t -.371 -.655 -.636 -, ml -. w -. 6M 9.84 m -.346 -.46 :; ~ –. 877 -j:% -s48 44.66 -.072 -, ?22 –,871 -.6S7 -. 60s -.682 -.641 –. Sm -. m7 9.64 ~;:;:::::::~::::::::::: -.801 –. 787 -, m -.066 -. ?24 –.4%9 49.m -. w -.076 -. Om -..M2 -.242 -. Sa –. 592 -. 62S -.568 -. w –.-621 E!zi - - ...-.,--- -— -------- -. 5s5 -.616 -. m -A89 -.. -,766 Al--------------------------- 5492 -. 1?4 -.191 -,243 -. Mu –. 496 -.676 -.676 -. w –. 417 -.464 8.76 -.614 –. M6 -.486 -. O&4 –, Ow –. a98

II

22.. - . . . . . ..__. ------------- 69.w -. Im -. w -.191 -.241 -.202 -. 43!3 -.645 –. 672 -.661 -. m -, 42il -. MS -.471 -. MS -, 54s -. w >. g 6&90 -. m -. W7 -.184 –, 224 ~. –. *1 -.529 –. 678 -. MG -.351 -.374 -, m &x----------------------- -.414 -.446 –. 446 –. 32$ w. 86 –. 227 -. MO -. ml -. lx -.327 –. 496 -.668 -. ml -.299 -.312 -. m . . . ----------------------- –. Su3 -, 8a8 -. S42 –. 281 74.m -. w .2. % -.066 -. lM -. m –. m -.305 -.496 –. cdl -. cE4 –. ms :. ~ -. m 24---- -.274 -.274 –. Zm -.249 ---. -----— ----- m. 92 -.277 -.173 -, MO .lm -.180 -144 -.273 –.464 –. 631 -. cdl -.184 -. Im 2a . . . . . . . . . . . . . . . . . . . . . . . . –. m -.191 -.165 -. m

“1 II

&L&l -. m -. la -. m8 -. m -, w -.m -. m -.464 -.626 -. M6 –. 116 -.102 -.116 -. m –. m -. m7 -. m -, m Sam -.317 -.177’ .010 -. 0L3 -. m8 -. m –. m –. 449 -,507 -. m -. cm -mom -: ~ -, m -. M -.191 Mm -. in -. W -.177 .rm ,m .Cm -. H2 -. al -.m -. m .m7 J171 .m4 ,W -. on .117 .124 . lm . 12d .185 -. m -. loii . 1(B := -. m -.362 -.529 -. m ,111 ,CW .rAm -. m II lE % .- . . . . . . . . . . . . .. . . . . . ,-. . ..- ------- ,. . . . . . .-- . . . . . . . . . . . . . . . . . . .. .. ---- ,------- —-- ..... ......... --------- ......... ......... ........

II

A,. ..,., . . .

~ABLE7 Ig.—EXPERIMENTAL DATA

[N. A. C. A. 4112alrfoll; eflmtlve Reynolds Numbar, IY,200,1XW @t nmnbem and manormtar IIqulds given ha foolnotes] Orlflcea Valu~ of Dream oomllclnnk P-p=, for dlffarant aught of atkok Station 0rdlnat8

:Qa$e;; a “-l@ l -]y .-8* b-p

Dedgnatlon -m” b-2.e b-4” b 4“ l 24*

h o@ ~P b 8“ klr # 130 l 18”

aw

f~.$ chord)

I

n .... .. .. .. .. .. .. .. .. .. .. .. l(m W o .. ....... -o, m 0,207 0. 2a4 0.2CU3 am 0,206 : lJy o, I&l 0,107 0,181 0.063 -Q ml -0.124 -0.194 -m w -a 52a ,155 ,145 ,177 , lal 1... . . . . . . . . . . . . . . . . ...”. .“. Q7.92 -.16 .. . . . . . . . -. Ioa , in , m ,167 ,162 ,128 ,085 ,016 -: 041J -, Soa -,815

,112 , 14n , I&l

29. .. . . . . . . . . . . . . . . . . . . . . . . . 24,84 -,16 .. . ...”.. –, m ,, 12% ,167 , la8 , 171 ,165 , 17U ,102 ,105 , ma -,107 -,167 . 16a ,108 2. . . . . . . . . . . . . . . . . . . . . . . . “.. Ml,w -, 22 .. .. ... . . -,272 .052 .077 , lln , I@ ,148 ,102 ,am ,% ,216 ,181 ,140 -, Om -: g ,042 .042 20. . . . . . . . . . . . . . . . . . . . . . . . . . 114,94 -, as .. . . . . . . . -,238 ,078 ,W2 ,118 ,129 ,143 ,154 ,124 .aon ,251 .226 .2(2? , cm -.011 81. . . . . . . . . . . . . . . . . . . . . . . . . . 74,Qa ......... -,411 ~ol’a : M4 ~otm ~104 .120 ,,10a , 162 .2s0 ,312 .206 .224 .172 ,128 -, ~ 8X . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . -. M@ ~ 116 -,053 -, me ~%2 ,122 .107 ,184 ,244 :E , Ma .8M ,873 ,2s8 ,202 8.. . . . . . . . . . . . . . . . . . . . . . . . . . W -724 .. . . . . . . . -, ml -,, m –, 141 -.071 -: % ,072 ,114 ,152 ,251 , a22 ,290 ,4@ .420 .855 ,228 88. . . . . . . . . . . . . . . . . . . . . . . . . . 49.98 -1,44 ...”..... ~frm -,254 -, 17tl -, ma -,055 ,04Y ~ml .258 ,838 ,416 ,425 .461 ,410 ,452 ; ;fi ,43 4. . . . . . . . . . . . . ..”..”... . . . . . -1,04 .. . . . . . . . :,725 -,605 -.228 -,184 -:070 -: %!4 , WI , lm ,271 ,841 ,46a ,488 .5M ,488 *4 #o 34. . . . . . . . . . . . . . . . . . . . . . . . . -1,84 .. . . . . . . . :,776 -,360 -,271 -.177 -.118 -, W5 ,027 .M17 ,142 ,276 ,875 , 4Q5 ,521 .520 ,477 ,512 69.28 u..... .. .. .... . ... . ... .. .. . 84.20 -a 10 .. . . . ...” -,,455 –: 838 -,226 -, I@ -f 084 .010 .078 , 142 .aw , S-Jo ,612 ,504 ,621 ,M4 -.. w ,586 25. . . . . . . . . . . . . . . . . . . . . . . . . . -2,80 .. . . . . . . . -,890 -.550 -: 41m -.282 -,194 -, mrl -,014 ,138 , n47 .Sm .617 ,W a. 90 .428 6. . . . . . . . . . . . . . . ...” . . . . . . . 24,Ml -a 54 .. . . . . . . . -,640 -. WI -; 877 -, 27a -, 150 -,067 ;E ,124 :E ,462 ,824 % -,984 .Ma , 02d *MO 36. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . -. 98s -,.822 -:004 -:, 4ua -.879 -.$91 -, 11s , W!4 ,102 ,820 ,484 , ma .e#J1 .721 .721 19.26 -2,76 ,6$0 7. . . . . . . . . . . . . . . . . . . . . . . . . . . -L ObA -1, lea -. Pal -.676 -:611 -, w -,164 -, MS ,7[8 , 76a .Mm 14,w -z Qo .. . . . . . . . :&7 .843 ,527 ,720 ,7a2 -2 M .. . . . . . -- -1,117 -L 7m -r, 221 -.076 -, 7aa -! 462 -, a8a -, 118 ,804 .848 ,88a 87.. . . . . . . . . . . . . . . . . . . . . . . . . 9. m t620 , 8!26 , &S2 .W8 8-, . . . . . . . . . . . . . . . .._. ----- .. . . . . . . . -1, Ma -2.110 -L482 -1,124 -,862 -,585 -,847 -, Ixl .407 ,918 -a 72 , rml ,722 .860 . 9a6 .918 !aoo WI . . . . . . . . . . . . . . . . . . . . . . . . . . -z 40 .. . . . ...” -a nm -1,951 -I, m -1, In -,785 -,422 -,148 .116 ,8WI L m .980 :; -L SW .582 ,991 . Ilol ,955 -1,935 -a. 825 -2 m -1,922 -1! 40.2 -,885 -,476 -, ollo ,745 1,m , S&2 9. . . . . . . . . . . . . . . . . . . . . . . ..-. 2,92 -k Cd ;. . . . ---- ,284 .072 ,922 ,841 ,204

;... ... ...... .. ........ ... -5! 070 :$ ~ ~~g -1,781 -L 022 : 4g ,C%7 ,421

1.08 -1,03 .. . . . . . . . -a. m ,418 ,Qla Lam ,em , b92 .820 ,084

.......................... .. . . . . . . . -1,840 :: g ,234 -. aao

-1,26 -4, 52a -0, MO ,049 1,015 .685 -,202 -,811 +’ ~ 40. . . . . . . . . . . . . . . . . . . . . . . . . . -7, 4ao -4,910 -I, m$ ,154 -8.010 $ -, 70 .. . . . . . . . -6, Sim -2, no ,935 ,918 ,Ial -I: % -2. !2?2 -!4 100 -I, al!a -: ~; , 8s0 -4! 856 -8.225 0 .. . . . . . . . + 410 -& 400 -2! 485 , aa2 1:% ,971 .186 -L &w -4, (X35 -n, Sao -0.686 k::::::::::::::::::::::: -a owl -, Ocb!3 . a58 L 010 ,8&Y 0 .!II .. . . . . . . . -z Blo , la4 , {m -,289 -8,278 -6257 -7,755 -Q, MO -q @o -~ 0d8 12-. . . . . . . . . . . . . . . . . . . . . . . . . . 7oa ; aam ,7% -8,780

,44 ......... -, (MO -.071 ,040 Lot@ ,802 -,152 -1,700 -8,762 +J aflf -7, 47n -8,480 -4800

42. . . . . . . . . . . . . . . . . . . . . . . . . . 1,ma ,948 + 482 ,04 k!f .. . . . . . . . .Ma , Q17 , ma ,408 ,072 -, 4aa -1.798 -& 423 -n, 256 -II m $ ;7J .905 ,2437 ,245 2.71J .. . . . . . . . .918 .286 , 7V4 -.128 -, m -L 744 -h 270 -5.728 –L071 L 70 -& 072 :$ Z 2::::::::::::::::::::::::: ,673 -Lool

.. . . . . . . . 1: WI L CHM ,887 ,758 ,827 ,017 -,819 –,711 -1,080 -4! 840 -4,605 -48BI

-% ‘w 14.. . . . . . . . . . . . . . . . . . . . . . . . ?% -2: ......... , 0.%7 . wa ,626 ,hs$ .641 ,101 -, ma -,442 -s MO -8; WI -8,842 –8, 820 + C!ao -,7243 -, m -1.544 , 48m ,1547 -, 0Q8 -,816 44. . . . . . . . . . . . . . . . . . . . ...”.. h 74 ...... ... .m , Ton ,844 -,560 -L 424 -2! 76$ -8, WI -8,148 -1, soil -, 728 7, ba -,824 :? 0# , on -, 1s1

!3.68 .. .... . .. ,721 ,01’1 ,847 *!W -, 4Cd -,616 -,874 -1,891 -a w -2,753 -1,204 -,705

9, m -% 492 :::::::::::::::::::::::::: ,Iw3 ,425 ,216 ,cw -, w -,278 :? -,008 -1, m -z 470 =~ ~ -1,125 -,705 la 58 7.64 . . . . . . . . . -,905 -i &so -% ‘w . . . . . . . . . . . . . . . . . . . . . . . . . . 14,02 . . . . . . . . . ,410 , 12H -, M5 -, Wa -,820 -,806 -1,s11 - L 728 ~~ lFF + aas -> g -,7011 ‘LL ,523 46. . . . . . . . . . . . . . . . . . . . . . . . . ,448 ,812 ,061 -: E -, Z78 -, 8m -,543 -,710 -1,272 -a K4U -% OM -, 02!4 17,44 . . . ...”.. -,902 -1,044 .224 -.010 -, ml -,221 -,674 -,729 -u Z37 -1, ti71 -1,874 -Lm$l -L 876 -,824 -, eas

19,90 .. ””....” j7J -,902

: la &:::::::::::::::::::::: ,184 -, 07! -,181 -,814 -,012 -, 7M -, !319 -1,280 -1, 6’M -1,770 - L 875 -1,752 -, w! -, &lo mu ;$ .. . . . . . . .

-,463 O,b2 ,251 ,112 -, Ilhl -, m -, aw -, m -,724 -L 170 -L 8e5 -I, 76a -1,67’0 -, 88a -s W3 24,Q2 .. . . . . . . . -, 8R0 -1,441 $:::::::::::::::::-::::::: . . . . . . . . . .077 –,, 182 -, 29a -, ma -,475 -,610 -,784 -,871 -1, lm -L80a -L 640 -1,422 -. w -, w 27,44 9! 62 ,Z17 -1! 500 .................... ...” . . ,104 ,051 -,102 -, alla -, aoa -,475 -, 5s9 -,718 -L 408 -1, 12a7 -1,282 -, 82a -. w n, 89 9.76 . . . . . . . . . -,840 -L U76 -1, 2Q8 40. . . . . . . . . . . . . . . . . ...”..... , m -, (02 -, 17a -, m -,877 -,478 -, m7 -# MI -L 281 -1, SCra -L 021 -, 79U -.671

8+ w 9,90 ......... -, Ta4 -u 088 -L le4

-, (w -, al I -, !2w -, 0.2f -,452 -,545 -, P127 -, m -, M2 --: ;I/ -, 82a -.777 -. 6s8

62,90 9,84 . . ...”... . wa -L 027 -_\ g

%:::::::::::::::::::::::::: -, Cm -,210 -,226 -, Mt -, ua -, Sxl -,503 -, fin –. 073 -. 7ao -, 2S8

44,E4 9004 .. .... . .. -, Co2 –, Sal :, g

-, lw -, ala -,263 -,825 -,801 -, W -,615 -. 7C41 -, m

49,w 9,22 ....”.... -,011 -,585 -.6+1 -,811 -,777 -, 56a

:?::::::::::::::::::::::::: -, (E37 -, W -,244 -, ma -.414 -,458 -, blU -,750 -, w

04,02 &76 .. ... ...” -, m –, 20$ -,619 –, Ooa -, Ma -.072 -. 6Z3

-,124 -,211 -,244 -,294 -, S8b -,821 -,425 -,524 -,472 -.7,50 -, 12!18 22.. . . . . . . . . . . . . . . . . . . . . . . . . &18 ......... -, MS -,471 -,088 -, bsa -, !s58 50,94 6)-4 . . . . . . . . . . . . . . . . . . . . . . . . . -,1 M -,184 -, 21bl -* 2dl -, m -,889 -, &w -,410 -, 4&1 -, 4au -,784 -.0$8 04,W 7,54 . . . . ...”. -, M6 -,428 -,4$1 -.411 m . . . . . . . . . . . . . . . . . . . . . . . . . . -,102 -, IN -, In -,224 -, !Mo -,2$8 -,807 -.870 -, MO

& 7!3 . . . ...”.. -. m -,840 -,872 -.877 -,862 -, w -,707

w. 64 % . . . . . . . . . . . . . . . . . . . . . . . . . . -,116 -,152 -.181 -, m -.224 -,707 -, W8

7&9C 5.88 ... ... ... -, (Q7 -, w -. M -,237 -.282 -,272 -.223 –. 272 -,824

–, m -, In -,141 -,162 -,174 –, W1 -, ma -.88$ -, w 58.- . . . . . . . . . . . . . . ..”.....- 4,02 . . . . . . . . . -, C97 -, (w -, 12B -,179 -.168 -,240 -, a20 79,w -, w -, w -,024 -, lM -,107 -, lM -, ma -,202 -. Mlo -. w -,671 all. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . -, IM -, m -, 07m -,110 -, @Jo &M -, cm -,011 -, Olt -,016 -:$2: -,016 -,020 -.458 54. . . . . . . . . . . . . . . . . . . . . . . . . . a 74 . ... . . . . . . -,027 .Cm -, ma -,019 -,017 -.071 -,176 -, m2 a~ .07i ,OM ,07s .078 ,M4 -,150 -,244 -.676 -, 02s ~.” . . . . . . . . . . . . . . . . . . . . . . . . ...”.... -, ma ,077 , 07a , C60 -, ma 94 Uc L48 , ISt ,132 ,141 ,144 ,148 ,110 -, mu -, M2 -,610 . . . . . . . . . . . . . . . . . . . . . . . . . . ,Ca . . . . . . ..- -,182 !119 , MS %’ .066 -,022 -, 1.!4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

28-. . . . . . . . . . . . . . . . . . . . . . . . . ......... ........ . . . . . . . .. . . . . . . .. . . . . . .. . . . . . . .. . . . . . . . . . . . . . .. . . . . . .

la fi o s~t,vmkbl~demltya~ll~ mmomatorliati marouw.

*’l%c, varlalala.dondty tunml I- nrauometerllquld, tntmbromontbm%

TABrm Ih.-EXPERIMENTAL DATA

N. A. O. A. 4412alrfoll; edwthe ReymoldENumber, S@lw tmt nnmbem and manmnetm lfqtids gfven in footnotes] Orfnw

I

DeAgnation

Station Ordlom

yr=; e

.—lf)a .—p .-&p

b–~ .18.

*-4 b-~ w w 4“ w Wr s16” f$sti of Obdd) “ Ohord)

0,158 %---------... ............. lfm.m o 0.193

a 217 0.204 am awl 0.134 –0. m ~a kc 0.114 0.101 0.010 -~ O& +. 173 -a 4do 4. m

97.92 .178 .157 .167 1----------------------- A.- -.16 . M9 .049

.181 O;$ .188 .164 -.454 .224 . 14a . la –. 291 -.204

94.36 .156 , LM .153 %---. -.-... ”.- . . . . . ..--.. -.16 –. 291 .185 . lM .105 . Ml .lao –. 406 . M7 . 17?3 .127 -.160 –, 167 .S28 . lea .m 2------------------------- 89.w —.3a -.290 .074 :% .140 .156 .152 -.546 .laa . 1s4 . al –. @so —.2s . lla . l-la We-.--.-- . . ..-” -.- . . ..-. 8404 .m .072 .032 .098 .lm .211 –. 538 –. 382 ,036 .107 .257 :% := .049 -:%

74.92 -. 52

.049 .128 lad .156 ,221 81----.. --... ”..- . . . . ...”--- -.558 -.454 .Om .251 .322 . a43 .374 . 17E .068 .095 -.042 .170 &w .“022 .104 .154 .244 az----------------------.- –. 620 –. lm .!233 .632 . ml -, m4 .374 .407 .270 .?%9

.100 .167 8—- -.571 -. 64a -.199 –:% ,300 .414 .452 -i. E

-: % -,024 .021 SW :3 A4y .369 E$ -.053 .7.34 .252 :&:..::_~::T:::I::::: -.696 –. 252 “-. 115 .816 -1.44 –. 009 :,;!; ;~ .091 –. m .472 .407 –. 123 .m8 .140 . . -. - . . . . . . . . . . . . . 44.90 -. En -.721 -.,lm .IW :2 .440 -1.64 -,076 .ma -.244 .505 :#1+ , 41a -.169 -.105 .071 .136 .265 L- . . . . . . . . ------------- ae. 0s -.558 -.764 -.868 –. m .352 .4m . M4 , 4e4 .498 -L 86 -,041 .609 r 2490 -2,10 –. 217 –. 146 -.073 :~ .138 d--------------------------- -. ml -. 77a –, 447 -.263 .337 .516 .576 .642 .504 .040 .544 -220 -.274 -. lsll -,106 .048 .116 :% 88.--... . ... . . . . . . . . . . . . . . . . 29.03 –. 545 -.730 -.545 –. 230 .414 .561 .2C41 .651 .557 .595 24.@l -. al -. 16s -.054 ,115 . amI 6.–--.---L--------. -.:-... -.646 -. fuM -. ma -.427 .4m . W .7W .Om -% 54 -. ?+37 .048 19.83 -.490 -.366 –: E .Ofla .221 86... -.--..~ . . . . . . . ---------- –. 551 –. 319 -. ma -, Oal .472 :% .687 .762 .642 .mo -Z 76 -, a44 -.111 ,,.

14.94 -2 m –. am –. m –. 066 .076 .346 .-. --- ” . . -- . -- . ” ” --------- –. 568 –. u -L 178 -. 7%9 . ms . na .726 . 8b7 .733 .778 -.348 –. MO . . . . . . . . . . . 9.96 –2 $9 -. w -.716 –. 601 -.279 -.111 .Om .402 -.551 -. m2 -L 690 -1.148 .616 . KJ8 .ma .s84 .878 ;7’-:::: -:--::::.:.. ---,---- -% 72 -1. lEa –, m7 -.595 -. lal .071 .462 –. 677 –, 916 –a 070 -L407 .713 ;g -061 i% ,m2 . Ml –, 323 c-..:-: --.- . . . . . . . . . . . i% –a 46 -L W -L 105 –. 7?7 -. m -. lm .169 -.671 -.897 -2 2Q7 –1. 881 .818 Lola 1.644 .@6 -202 -L W –L 636 -.922 –, ma .221 :% 9. ..”.--..+ .. 7,------ +.- 292 -.702 -1. M2 -8,745 -2. 4m .948 .ma .W8 ,Wa :2 .941 –, 467 1.66 -1,60 -a 478 -1.709 -1. me -.426 .Om .400 ,016 fi::-:--:.:-----i -:--:-:---- -L Om -1.047 -4 944-I –3. 198 . 97& .791 .002 .71a . . . . . . . . . . . . . . . . . . . . . . :% -1. ~ -2.766 –L 812 -.905 -, 2m L 012 -2 m2 -% 212 -6. in -2. ml . S31 –:% –:% -.

-2 m -L 559 -. ml .156 :% :E .ma a-------------------------- -8. W4 -4.203 -7.337 -4.052 -i E -2 m -2. a12 -<% -i @ 11.-.-..-- . . . . . . ..-... -...> -~ %2 –: ~ .3M .(LW .962 .157 –!4 023 -% 463 -h m -2.397 -i E -a. 64s -5. (ml –o. 072 -a. 596 -a am 0 I .68 .046 ifi .864 .472 –L 000 4L..-.--------------.----L -L In -1.549 -!2 625 -. am -a. 256 -6. W -7.776 –% 941 -h w -a. 730 12 . . . . . . . . . . . . . . . . . . . . . . .44 .904 .94s .m .am -.202 -L 740 . a22 .231 –. 042 .765 -3.738 -6. ml -7. m -7.954 -4. ma –2 M2 &..---- . . . . ..-. - . . . . ...-& .04 ig .m .468 -.450 -1. m .7W .m ,696 .974 -a. 890 –6. mO -a 110 –h 6s1 -a, am -2. me LfWl . ml :E .660 .24d -: E –. 611 –1.743 IL------------------------ .9% .935 .= -a. 058 -4.473 -E. 190 -5. m -3.010 -L 240 43- . . . ” ---------------------- k: .761 .am .332 .018 –. 636 –. m -1. L?47 Lom .97’4 .s$2 -2 Im7 –8. 7e4 -4 ala –4 562 –2. m –, 7%3 .642 .323 .Ho -,179 .435 ,-.813 -L 547 :,--::r+~w , 490 :2 .935 .* .718 -q 348 -a. Ku -a. 67U -a 731 -1.629 -, @a .139 -.. . . . . . . . . . . . . . . . . 7.24 .498 &74 .344 -.062 –, 312 -.568 -.331 -L 432 .m4 .762 -% (M7 -2 m -2 ml –9. m -L 235 -.644 .017 :% 6.62 .am -. llm -. m -. 62a –. 372 –L 341 . 6S7 .622 .374 -L 912 –z 440 -2 ma –2. 631 -1.059 -,524 21:::::::::::::::::::::: i: .268 7.24 .ma –. ml -. m –. 468 -.576 -. m -L 8m .Ifm .676 .4m -L 802 -2.240 -2415 -2222 -L IX17 –. 611 -.152 l&---------------------- 14.02 .014 -. am -. m -. m -.912 –L ~ .4m .407 .173 -L 7W –a MO -2. 2%5 –a la –. 965 -. M4 be__. .--- . . . . . . . . . . . . . . . . 17.44 .414 . 10I :: –. 052 –, 210 -. am –. M7 -.721 -.910 -L 272 :% . a29 -L SZ? -L 952 -2002 -1. W4 -. mo –. 604 % 111 -. m &so -. m -.568 –. 746 -.914 -L 239 .W -L 648 -1.841 -L 027 -L .S15 -, m –, MB -. a2a –L .3% :;::::::: T-:: -T:::: %! .257 :E –1, 69s 9.16 -.176 -.452 -. ma -.769 –. 980 :E –: E -L 502 –L 768 -L8%f –. 851 -,291 –, 192 -.322 la. 24.92 .212 .211 -. Om !3.52 -.’464 -. m –. 744 -. ma +1. Im .140 -L U8 -L640 -L692 -L 592 -. ma –, 591 -.335 -.471 –L 122 *I:::::::::::::E:::: 27.4.4 .155 9.62 -. m -. m -.742 -. ml . Ma .lm –. 096 -L 247 –LM6 -1.673 –L 391 –, 8U -,501 –.241 –. 722 . . . . . . . . . . . . . . . . . . . . . . . 2RW .114 .188 -.114 0.76 -.264 -. a -. m4 –, 861 -L 071 .068 –L 2$6 -L 438 -L 4fd -L2M -. 7m –. ml -.276 -. ml -.473 -.342 49.—-.. -..”- ..--- ..: 24.CS .&m -.164 -.591 -.595 –. W -. m -1.144 -L2m -L 255 -Lm -.760 –. 272 –. am -.447 –, 54!3 -. # a_–- -.-- — . . ------- 39.w –: E -: E -.172 -, am -: am -L W -~ g –LW –. m -.727 –. m4 -.291 -. an -.420 -.609 –. z m —— . . ..-. -. —-...... -. ma -: E -. W -.501 -.619 -: m –. w –. W2 -,910 -; 654 -.720

-.320 -.389 %% –. 066 -.076 -.173 -. ns Al—---------------------

–. 256 –, w –: 625 -. m5 –: 690 –. 121 -. 7m –. 7M –. 724 –. ma -.591 -..738 -. am -.471 –. 527 M. 92 -.147 -. &w –. 161 AL--. -”---”--., . . . . . . . . .

-.661 -.406 -: ml –. 076 –. 649 -.649 -.634 -. 47a -. ml -. ml

-. 3!4 -. m -.642 -. m -. 4S7 Sam -,149 -.101 –. ma –. 161 -. Ml E_____________

-.691 –. 641 –. 576 -.651 –. 4al -.414 –. 646

–.214 –. m -.2$8 -.834 –. 421 -.436 S&m -. m -. I@ –. W2 -.123 -. 35Q AL_ . . . . . . . . . ..-.. -.- . . . .

–, 276 -. WI –. 414 -.348 -. m –. ml

-,181 -.225 -. 2m -. m9 -.251 –, 252 -.121 -. m -.116 m —.- —-. —------- . . . .

-. m –. an –. a76 -. ala –. m -. 2a7 -.632 -. m4

–. 1* –. 133 -. m -. m –. m -. ma .% E -. m -.123 :. g -. m2 -. am . . . . . . . . . . . . . . . . . . . ..-

-.279 -. !M4 -. m -.212 -. Sm -.624

-. lla -.144 -. lM -.191 -.210 7%92 -.297’ -.147 -.076 –. 173 -.678 k__—–ti____

-. m –. 199 –, la -.147 -.291 -.542

–. m -. ml -.094 –. 101 –. 116 -. I la -. m was -. m –. 164 -.024 -:& -.140 —. m -. m 2$—–-.-_-._ . . .._

–. m -. m –. w

-. m -.019 -.016 -.017 -. m -, m -. m a. a -. 3M -.161 .Om -. Ml -. m -.-. —---- ----

-. m -. w -.114 –. 662 >, .07a .Om .nm .@ .076 .070 9LW -. m -.174 .076 . lW .m -.016 -. m -.519 —... -------

. on -. m -.67,9

. la .129 .147 .160 .142 .Iz7 .Ial -.464 -. m .127 .165 -. m -. ml .ma –. mt –. 076 –. am ,. -.. . ,------ .. . . . . . . .. . . . . . . . . . . . . .- . . . . . . 1%% ,. ----- . . . . . . . . . . . . . . . . . ------- ,------- .-. . . . . . k-z=::::::=:::: .------- ,.. -.. .

VARIATION WITH REYNOLDS NUMBER OF PREM!URE DISTRIBUTION OVER AN AIRFOIL

TABLE Hd.-IIVTEGRATED AND DERIVED

TABn IIa.-lNTEGRATED AND DER13CED

CHARACTERISTICS

CHARACTERISTICS

~. ~ CLA. 4412afrfdl; effedfve Re~oI& N-, W0,0001 m. A. O.A. 4412cMoU eEeetive BeynoIdc Number, 103/300] c c c c c. C* -814 et , %14 f (deg . v (deg.) c,

-1

o. cm y: &9 –a442 -o. ; -0.48 0.0916 o. Ols --y.&

–le. 3 –. 4ST –. 3&4 .02s –M. 4 -. .W -.491 –. 494 7 .011 –. 470 –lL 3 -. –. 459 .0671 –. au –. W6 –7. 2 -. m -. 8 –. 4% -. Ml –. 190 -. w –. Is@ -5.4 ~aiJ: —.6 ~86J := -: yg -. Km 47 —.3 . Oils -. W –. 096 –z o .023 0 .Wo .0$27 ;% —.6 .817 .5 . J17 .0240 –. 097 :E -. 09s .m .Iml k: .723 1:! :% –: z -. OQa

LOU i% LW4 –. OW –. U3s :K$J

2: L224 Lal :: L 288 –. 1855 -. m

140 :~ kg –.m –. mu L W

20 L238

–. O&m –. 0i6 -. w

16.4 L6 .Cao

:916 LOE8 –. Cm93 -.181 :% –. 137

.884

.038 –. MS

E: ;~4 ;~ :% .Wo -.137

.934 -.142

X7 .m .936 –. 143 TABLE HIx-INTEGRATED AND DERIVED

TABra IIe.-INTEGRATED AND DERIVED

CHARACTERISTICS

CHARACTERISTICS

IN. L C. A. 44138kfow eftmtim BeynoIdc Number, Z40,Wl]

cm c c c*

‘w I (deg.]

C6 (de&: u (deg.]

C-4

~.g 0. Ols -o. an

-Ia 4

–m -.---- -------- -------- —--— ------

—-—

.Om –. 384 -15.4

–M CLO16 -0.683 0.0646 -_: 64J

49 -151 -.464 .019 –. MJ -IL 3 -19 –. mu -.640 -. M3Q –LO –lL o -.422 –.CU9 –.415 –7. 8 -8 -. lm –. S68 –. 0407 –. 373 -. –7. 4 -. !m6 –.W6 –. ‘W -(L6 4 –. Ow -.183 –: ~ -.182 —.: –6. 7 -.043 –.095 -. fM6 4.0 -4 –. ml -. Wa -.009 0 +0 .161 –. ro4 :% –x 3 –2 –. 098 . lio . oll~ . lio ,3 –!L 3 .s9) –. IM -. 6 o –. 09i :% .200 .6 -. 6 .523 —. ml .Sn –. C& –: ET .680 .693 –. m ;;

i -. @m .705 -. m L<

:: –. ma i~

-. ml L 016 -. 10M ig

i~ ~~ L’Z23 1! $: –. m L~ -. !7314 L 391 It; i: 1.331 L2W ls.’a M –. L15s L 374 –. %72 LS96 2.2 us I.rao –. M L KS 16.2 –. LE4 L235 -. 3i08 LSi21 :; KS .Q5a –. 134 .W1 2 -. Ow LlsQ -.2284 L214 . ml –. 187 .Slo E!

–. M7 :g -. U38 L 140 1.8 z; .m —. 143 .809 %7 % –. 149 .Kso .8a3 LS %7

TABU IIc.-INTEGRATED AND DERIVED

TABLE IIf.-INTEGRATED AND DERIVED

CHARACTERISTICS

CHARACTERISTICS

N. A. C.A. W afrfoiI; eRective Beynoldc Nmu&r,460~

~. A. a. ~ W _ efkctIve Beynolds 10xnteI,%WWI

e c

-@ (Ck3.) l c= er

t, (deg

r. (deg.) I c= %

+ (deg.)

%

Il:& -o. %3 -0.440

mm –KLo -0-0= -ag 0.0411

-. 2s5 -.423 –14s -.780

–.m –. 4s3

-.725

–; E –M. 8 –.234 -: %%

–:%? –.381 –. m

–. 0$8 –7. 4 –.3s7 -. 3Q5 -.0403

–. 172 -. m?

:.

-. 09s -.194 –. 197 –. 01!28 +7 :$ .001

–. @xi –ml -: g .W30

-40 -. 09a .170

–. mu . MS . OIM

-% a –. 006 –. 094 .341 .S41

–. m :%? :E

ml

–.m .623 q ;; ..— —

‘i; -.093

-. (a . all

–. w i%

iE

–. 078 -. 0a88 :% LZ?6

-. W2 L232

–. O@l L290 –. 2334 l%% ii

It: –. w L243 L2dl –. l-m L498 –. 3171 L466 16 IL6 L 156 -. Ed IJ61.5 –. 079 L 6S1 –. 36s4 LM7 16.5 -. m L623

–. m 1.496 –. 329$4 L470 E

17.6 -.189 .m6 .824 -.150 -. MM L 165 24 !U2 L121 -.149 .W .a17 –. Ifm –. I.oM Llfa 30 zaa LW

REPORT NO. f313-NATIONAL ADVISORY COMMITTEE FOR AERONAUTICS

TABLE IIIL—INTEGRATED AND

TABLE IIg.—INTEGRATED AND DERIVED DERIVED

CHARACTERISTICS CHARACTERISTICS [N. A. C. A. 4412 e.frfom efkdve R8ynolds Nndxr, t%?JXY,OWl [N. A. C. A. 4412afrfolu effectl~ Reynolds Numk, WOOim] f c

~ (deg.) $ (Llcg.)

(deg.) l I (deE.) u (w.)

‘“ I c“

+—

. ...... ........ —.-.— ,------ ... ----- -0. w. O.@318 0.080 -a 346 -a 9 -19.1

-o. W.9 0. on -0. w –1 a –14 7 -.767 –. 0170 —, -1.2 -IL8

-.712 -. m –. 722 –1+ -10.9 -.722 -. m -. ~g -1. j -la B

-.410 -. WE –. 412 —. –7. 8 -.372 -.0445 E -. -7.4

-. m –. 094 –. 210 -. 3 -h 7 -.210 –. 0161 :.023 -.111 8 -& 7

-.

-. Oao 0 40 -. OM .004a –. C?M –. Om 0 -4.0

-.036 –. OR3

.167 .167 .2 .146 .0107 -. cm .146 .2 -z m

-.092 -2. j . 3aa .5 -.091 .338 .5 -. & , 38s -.091 -.

–. m . XII

. ml –. W7 .m ;.! <~ Jf -. w’ 1:! :: ; 674 –. 06a .674 k; L 020 -. W 1:E ;= -. m LWl –. lm L m 1!: –. 073 1.816 k: :; L 215 -. W43 -. m4 ;: 1s. e 1:m -. MM L B4 13.6 1.64a –. 3387 -. OM 1.679 2.6 L089 -. M7 L678 2! ma 1.626 -. -.069 L 671 s.11 lL4 17.8 L ells -b #31 L 001 a6 17,4 1.640 -. 4 :% L6W 27 1.244 -.143 L 293 20 220 1.212 -. L m 1.111 -.171 L 014 L6 2a4 1.m -. ,6 –. 146 .91a :! 33.6 F

-—