43
UNCLASSIFIED AD NUMBER LIMITATION CHANGES TO: FROM: AUTHORITY THIS PAGE IS UNCLASSIFIED ADB804053 Approved for public release; distribution is unlimited. Distribution authorized to DoD only; Administrative/Operational Use; JUL 1947. Other requests shall be referred to National Aeronautics and Space Administration, Washington, DC. Pre-dates formal DoD distribution statements. Treat as DoD only. NASA TR Server website

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Page 1: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

UNCLASSIFIED

AD NUMBER

LIMITATION CHANGESTO:

FROM:

AUTHORITY

THIS PAGE IS UNCLASSIFIED

ADB804053

Approved for public release; distribution isunlimited.

Distribution authorized to DoD only;Administrative/Operational Use; JUL 1947. Otherrequests shall be referred to NationalAeronautics and Space Administration,Washington, DC. Pre-dates formal DoDdistribution statements. Treat as DoD only.

NASA TR Server website

Page 2: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

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Page 3: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

Reproduced by

AIR DOCUMENTS DIVISION

^ • . :!:u:

• -,;|'Ki •* iw in'

L I C

HEADQUARTERS AIR MATERIEL COMMAND

WRIGHT RELD. DAYTON, OHO

4,* •• * "JCJi»«.

Page 4: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

.*tmm • y

5^ US GOVERNMENT

IS ABSOLVED

FROM ANY LITIGATION WHICH MAY

ENSUE FROM THE CONTRACTORS IN •

FRINGING ON THE FOREIGN PATENT

RIGHTS WHICH MAY BE INVOLVED.

Page 5: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack
Page 6: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

f

NATIONAL ADVISORY COMMITTEE FOR AERONAUTICS

TECHNICAL NOTE

No. 1390

ffl MO,%T?JB

EFFECT OF COMPRESSIBILITY ON THE DISTRIBUTION

OF PRESSURES OVER A TAPERED WING OF

NACA 230 -SERIES AIRFOIL SECTIONS

By E. O. Pearson, Jr.

Langley Memorial Aeronautical Laboratory Langlpy Field, Va.

Washington July 1947

C?J

FILE COPY BfTURHTO

Air Documents Ci» wi • '.r «r> -nc« i hi i Wf(*hl t*u, UifM, Oka

„ B

Page 7: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

NATIONAL ADVISORY CO-WITTE! FOR AERONAUTICS

TECHNICAL NOTS NO. 1390

EFFECT OF COMPSESSlBILmr OH THE DISTRIBUTION

OF PRESSURES OVER A TAPERED V3C OF

KACA 230-EERIHB AIHFOIL 3jäCTC0!E

By E. 0. Pearson, Jr.

SUMMARY.

The results of preonun»-distribution Boaouremonts msdo during high-speed wind-tuniMl toatc of a tapered wine of NACA t:30-series airfoil sections are preoented for angina uf attack ranging from 0.3° to 21.2° and for free-stream Mach nunbors ran/;lnß fron 0.2 to about O.Y.

Tho peak valuos of minimum pressure coefficient attained «ore found to correspond to local Mnch nunboru of 1.2 to 1.1» except at angloo of attack near tho low-apeod stall. The hlfhoct local Mach number measured vao 1.55.

In rest coses noticeable flow separation was lro'loAted only at stream .'loch numbern e-co' din,- those at which peak minimum pressure coefficients were reached.

At large angles of attack corresponding to those very near the low-speed stall there was sou Indication that tho flow about tho wing broke down when the critical proeoure coefficient war. reached.

A comparison uf asamrod and calculated ehordwiae pressure dis- tributions for several stations along the spra showed satisfactory agreement for purposes of structural design up to tho critical Mach number.

INTRODUCTION

A knowledge of tho magnitude of surface preasure• and their distribution along thu chord and span of wln#s at high speeds is required tor proper structural design. Because of the lack of an adequate theory for determining the prossuroa on ajrVnlls at super- critical speeds, the required lnfomstlon must be ibtalned ontlrely by uxperlaent. Tho purpose of the present paper, which fcivus the

Page 8: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

HACA TM lie. 1390

detailed results of extensive pressure measurements over a tapered vine <"f HACA 230-series airf-'l sections. Is to add to the existing amount of high-speed pressure-distribution data, which are very limited In extent, particularly for finite Vn. a.

The pressure-distribution measurements reported herein were made during tests In the Longley 16-foot high-speed tunnel conducted priaaril. to determine the effects of Mach number on maximum lift and spanvlse load distribution of a tapered ving of HACA 230-series airfoil sections. The force measurements and the spanvlse load distributions obtained from the pressure measurements presented herein vere reported in reference 1.

SYMBOLS

a

A

a

b

c

C*o

y

L

free-stream speed of sound, feet per second

locel speed of sound, feet per second

aspect ratio

corrected angle of attack of root section (section at plane of symmetry), decrees

ving span, feet

airfoil chord, feet

section profile-draa coefficient

section normal-force coefficient

ving lift coefficient ft)

(if A"«-)

ratio of specific nest at constant pressure to specific heat at constant volume

ving lift, pounds

three-dimensional lift-curve slopo, per redlan

tvo-dlmenslonal lift-curve alope, per radian

Page 9: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

HACA SB Mo. 139°

I

Mo

M

Mcr

V

P

rmln

free-strean Mach number (V0/eo)

local Mech number (v/a)

critical Mach number (value of MQ idien M first reaches

a vaJua of unity)

free-atreain static pressure, pounds per aquaro foot

local atatlc pressure, pounds par square foot

/P " Po\ pressure coefficient l~~—|

critical pressure cooffieient (value of 1> correapondln3 to M - 1*0)

pressure coefficient corresponding to laximun local velocity

p free-stream aaea donnity, alupa per cubic foot o

q free-ßtream dynarJc proesure, pounds per Bquare foot ^2"P0T

0 )

S wing area, aquare foet

V free-atream velocity, feet per aecund o

V local volocitj, feet per second

x chordvise dlata.ice meaauree. from It din«, «-dgo, Toet

y aranvlBf dlotance meaaured from piano of oymactr}-, feot

Subscriptss

c compressible

1 lneornreaeible

V uppei surface

I lovor surface

Page 10: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

:

HACA HI Bo. 1390

APPARATUS AMD MBTHODG

Tests ware conducted in ths Laneley l6-foot h: h-speod tunnel. The vin, tested had an aspect ratio of 6, a taper ratio of 2. no dihedral, 3.l8° aweepback of the quarter-chord lino, and U.2° of uniform geometric voshout • The vlng had an IIACA 23016 airfoil section at tho root and an KACA 23009 airfoil aoction at the con- struction tip. A diagrammatic sketch shovir.;, the principal dimen- sions of the viivj is given In figure 1.

Thlrt; -three pressure orifices were distributed over each of six vine aectlono, the spenvise locations of which are given in flGure 1. Also shown in figure 1 are the chordvlse locations of orifices aver a typical section-

Pressure tubes connectinc; *Jie orifices on the vlng with several multiple-tube manometers in the teat chamber wore brought out of the rear of tlie win • through a boom mounted rlgjdly to the vlng and a movable strut. This arrangement may be seen in figure 2, which is a photograph of tlie vim. mounted in the tunnel for the pressum-dlstrlbutlon tests. Pressures Indicated by the manometers were recorded phato-yaphieally. For a more detailed description of the modol and the apparatus, see reference 1.

TESTS

Most cf the test runs wore made with the angle of attack held constant vliilo the tunnel speed was varied from about 150 mi lea per hour to the maximum speed obtainable (not choking speed), which for win -, angles of attack betveen 0° and U° was cpproxlnstely 320 miles per hour. The corresponding ran;,« of the free-stream Mach number waa from 0.20 to about O.70. The Reynolds number varied from 3.0 v 10° to 6.1 x 10 , which corresponds roughl;- to that of a full-scale fighter airplane fl/in-, at the test Mach numbers st altitudes of about 33,000 to 1)0,000 feet. At the highest angles of attack the mr.xlcum obtainable tunnel speed was about ' S) miles per hour, which correspunds to a Mnch number of 0.ÖP5- A few additional test runs were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack ran.,e covered in the pressure-Alatrlbutlon tests was approxi- mately from 0° to 21°.

Some of the tests were mode at angles of attack of 2.30 and 6.7° to determine the distribution of profile dra{. across the span. Vor these tests the pressure tubes and the trail."n;, boon were removed

Page 11: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

MCA in no. 1390

from the wins, and a rake of total-pressure tubes MIS installed on the vertical strut rlovnstreait from the v?:..,. V'lti: t; -a apparatus, surveys of the vine take vero made at various points along the span. The position of the rake wi kept In a plane ptrper-icular to tho tunnel air stream and consequently the distance of tiie ralco from the vino trailing edge variec" from about 1/2 chord at the root to about 1- chords at the tip.

CORRECT!}? 0'

Angles of attack given in the present paper (fi... 3) have been corrected for tunnel-wall and other effoctn, so explained In detail in reference 1.

Supporting struts.- Tho effect of the supporting etruts vas to Increase the effective velocity at the wine posit'.on. A calibration of the tunnel with the struts Installed but -nth the wine removed showed that the increase in velocity variec" from r<bout U percent near the struts' to about 2 percent at the center of the tunnel. A mean value <:t effective velocity, weighted according to the wins area, V9s chosen, which represented an orer-all cnrroctlon of about 3 percent. Corresponding val-tus of static pressure and dynamic pressure vere used in computing pressure coefficients from the measured static pressures on the win,-.. This correction affects all data In fi-jure h and tho values of on in flgorM 5 and 6.

Because of the nonunlformlty of the vel;>cit;- across the tuni.ol, the minimum pressure coefficients shovn la fi^uro 7 for tho wins station nearest tho struts (station '») ore In a.vor from this source by about 5 percent at o » 0.2° and b;- about 2 percent et « « 17.?°- At tills station the minimum pressuro coefficients as presented are nopatively too large. At station 1 (noar the center of the tunnel) the minimum prossure coefficients as prcsontiV. ?re .ie atively too email, and hero the orror Js about, iielf that quoted for station k. The errors at stations 2, 3, li, and 6 aro aaellor sne< the error In minimum pressure coefficient et these stations <s of the order of 1 percent for all angles of attack.

Tunnol-wall interference.- Neither the pressure coefficients nor the stream Mach nunbor." have been corrected Tw tunnol-wall interference because of some uncertnintiae in the application of corrections to the pressure data for the present case of a relatively large finite vin; in a circular tun-el; also, a check of the order

Page 12: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

of mnsnttudu of the errora Involved by the methods of references 2 and 3 Indicates that these errors do not significantly affect the conclusions reached«

The principal errors arise from the lncreaae In effective velocity at the vine position due to constriction of the tunnol by the large ving take st high an;lee of attack end hl.h Mach numbers «here the flow Is largely separated- As Ion;, as the flow over the vlng was smooth, the errors In pressure coefficient and Mach number from this source were found to be no;lifciblo. Under the conditions of strong ahock and extensive flov separation occurring et the hi;jueot test angles of attack and Mach numbers it wo determined that the Indicated dynamic pressure and Mach number were too low by as much as k percent and 2 percent, respectively. The test point on the curve of minimum pressure coefficient against Mach number In figure k(i), elvlng a pressure coefficient of -2.00 at M(

Is representstive of data obtained under these extreme conditions. For this point It Is probable that the minimum pressure coefficient Is negatively too lar^e by about 6 percent.

Since negative pressure coefficients are too largo negatively and stream Mach numbers are too low, local Mach numbers are affected by constriction to a much smaller extent than the pressure coeffi- cients as Illustrated by the follovlnc numerical example:

The equation relating local Mach number, stream Mach number, and pressure coefficient fur lsontroplc flov Is

2

It - 1 -^oS 2 °

Substitution of the values of prnssure coefficient and Mach number previously given

value of local Mach number of 1.3? Increased by S percent (corrected

0.622) in this equation glvea a If the stream Mach number is

and the preaauro coefficient is reduced numerically b." 6 percent (corrected P» -1.66) and these corrected values are substituted in the equation, a value of local Mach number of 1.31 la obtiinor1. The difference between corrected and uncorrected local Mac;, number Is seen le be less than 1 percent.

Page 13: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

HACA Tfl It«. 1390

RESULTS AIJP DISCUSSION

Wing lift characteristics (trm force testa).- The lift curves for tho wins et verloue Mich numbers es determined from the force teeta reported In reference 1 «ro (jiven In figure 3 far purposes of correlation.

Prescure coefficients ar,d section normal-force coefficients.- Chordviso prossure-Sietrltv.iion diagrams far stations 2 and 3 (see fig. 1 for locations) are presented in figure -V fur a rsngo of angle of attack and Mach number. Tho variations wit;: Mach number of minimum pressure coefficient and section norusl-l'orce coefficient as obtained from Integration of the pressure-distribution diagrams are also shorn in figure k. In order to prevent possible confusion over two dis- tinctly different minimum values of pressure coefficient the following definition of terms is offered: 'lllnlmua pressure coefficient" refers to the largest negative value of pressure coefficient measured at a particular apariwlse station on tho win; for any anc,le of attack and Mach number. This minimum quant it." may bo obtained from the pressure- distribution diagrams of figure U. The tern 'peak minimum pressure coefficient" refers to the largest negative value attained by the curves of minimum pressure coefficient plotted a-jalnst Mach number, which are HIBO ,<»lven In figure fc.

Stations P. and 3 were chosen for discussion because minimum pressure coefficients end otxUiura normal-force coefficients occurred in this region on the wine* The pcsltlon of these minimum and maximum coeffielünts shifted fr.nn station 2 to station 3 as the angle of attach WOP lncrasec' from about 2° t" that value coi-reapendinß to the stall; at a » 8.Q° tlwi coefficients were about the same in msgnltudn at both of these stations. Compere figures U{() and 4(e).

The curves of minimum pressure coefficient 3.1 'ust ctream Mach number for most of the angle-of-attack range (fi..s. l»(e) to '»(c)) ahnw that local Mach numbers Increased end local pressures decreased with Increasing free-ntreaa Mach r-umber in thi usual manner until peak minimum pressure coefficients vhlch corresponded to local Mach numbers from 1.2 to l.U were reached. In general, maximum local Mach numbers and peak vnluos of minimum pressure coefficient did not occur at tho some fruo-atream Mach number; maximum local Mach numbers were reached at s.mvhat h.'. jier stieim Mach numbers than peek values of minimum pressure coefficient. The maxfcwm value of local Mach n-jciber measured v-s ubout 1.55 (fig. 4(f)).

The evidence shown in fl^nre k indicates that aver most of the an^le-of-attack range noticeable flow separation, as Indicated by a deficiency in pressure recovery near the treillr..- edge, dl<\ not occur

Page 14: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

SACA TB He. 1390

until the stream Mach number corresponding to the attainment of peak minimum preaaure coefficient.: had been veil exceeded. The normal- farce coefficient, however, generally ahowed aone departure from the smooth oubcrlticul trend at Mach nunbere only slightly In excess of the critical, even thou.J: little If any flow aeparatlon ««a Indi- cated' For an example of beginning aeparatlon nee the preaaure dis- tribution far a Mach mmbor of 0.651 In figure k(t). However, the poaaiblllty of the occurrence of a local aeparatlon confined to the region of ccapreaalon shock at lower auporcritlcal Mach numbers cannot be excluded (reference k).

At angles of attack very near tho lov-opeer stall (fig. U(j)) the rather meager data appear to ahov that «hen the critical preaaure coefficient la reached tho flow can tolerate little If any shock disturbance vlthout breaking dovn. The result.- on this wing pre- sented In reference 5 more strongly corroborate this indication.

The subcrit'cal rlao in normal-forco coefficient with Mach number haa been compared with that given by the snail-disturbance theory as applied tc the ftnlte wing by A. D. Younn In n Britlnh paper of limited distribution. Tho equation far the ratio of noraril- force coefficient *t any XaWltl—1 Mach number to normal-force coefficient at M » 0 lr 'js follows:

cnx " »1 ' «oi V»oc • *)

_2£ fr-tf

•01 it.

Gft»)* xA The value of the lov-speed tTo-dlaenaional lift-curve alope m^,

waa taken aa t»:at for thin airfoils (Sit). value for a,,, tha equation became

Cnc.

Upon substitution of this

<T..

Page 15: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

HACA m No. 1390

Aa nay bo seen In figure h the curve« calculated from the fore- going equation are In excellent agreement with tho experimental normal-force-coefflclent curvea up to the force-break Mach number, beyond which large differences between the experimental and theo- retical results are shown.

Contours of pressure coefficient over the upper surface of the wing are shown la fleures 5 and 6 for several Mach numbers and for angles of attach of 2.3° and 6.7s. Included in these fi,-urea are curves showing the spanvina distribution of normal-force coefficient and profile-drag coefficient for correlation wJth the data given in figures U(a) and U(e).

These figures serve to show hew the re Jon of supersonic flow ahead of the conproaslon snick or shocks formed an? expanded wltn Increasing Mnch number. Of Interest is the fact that st the highest Mach numbers (r: s. 5(f) snd 6(f)) the drag coefficient Increased to about two or thro times Its loi-spoed veluc, "tiile the normal-force coefficient remained eEsent'.all; unaffected.

Ccmparlson of thoorrtlcal and experimental chcravlse pressure dlntrtbutionn.- Thu measured and celculatsd cinrd.wiae pressure dis- tributions over the wins sections at six spciwlso scations aro given in flguro 7 for a range of an^le of attack and Mi.:h number.

The chordwlse pressure distributions were calculated by the method of reference 6 for each section so that tie lift coefficients were In nyreument vith tliose obtained experimental!,: at a Mach number of about 0.2. The calculated pressure coefficients were then extrapolate* to hi,-nor Mach numbers by the von K-irman-TcJ'.-n relation, which is recommended In reference 6.

The von Karman-Tslen theory, of crurao, is not valid at Mach numbers higher than Mie critical, but the comparison is continued to supercritical speods to show the departure of the meesured flov rrom that predicted by the first approximation of the theory. It should be noted that suca calculations lesd to the impossible condition of pressure coefficients which correspond to pressures leas than absolute toro.

At an angle of attack of 21.2° (fig. 7(f)) the win& was completely stalled at all Mach numbers, and consequent.ly tlic calculated pressure dlatributlcns are not given for this condition.

An examination of figure 7 shows that for purposes of structural design the method of referer.ee 6 elves results In satisfactory agree- ment '..-lth experiment at Mach numbers U;J to the critical.

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iß HAGA TB No. I39O

Pressure distributions at nestions very near Uie viiig ein are undoubtedly distorted by the llov around the tip. For the teat ving, however, the area so affected ic snail,

distortion at station 6 1~JL ' 0.9U)

:io evidenced by the very small

CCKCLUEIOBS

1. Peak valuer of minima» pressure coefficients vere found to correspond to local Mach nwjbers of 1.2 to l.U. Local Mcch numbers generally continued to lncrurse with increasing stream Mach auKoer beyond that ut which pc.l. ninimKa procsure coefficients occurred. The K 'Xinuc local Mach r.'-r.bcr measured ves cbout 1.55.

2. In general no noticeable indication of flow separation vac observed until 'he stream Much nuriber corresponding to the attain- ment of peak pressure coefficients hud been veil exceeded.

3« At angles of attack very near those corresponding to the lov-speed stall there voo seme indication that the flov about the ving broke do-.:n vhen the critical pressure coefficient (local Mach number • 1.0) vc-s reached.

h. The measured rate of increcoe with Mach number of cection normal-force coefficient at subc.*itical values of Mach number vau in excellent a^Tetntnt vltli that predicted from the small-disturbance theory. large differences lotvoen the theoretical :ni experimental results occurred at high supercritical cpeeda.

5. The method used for calculating; the chordvise prescure dis- tribution gave results in satisfactory agreement vith experiment for the purpose of structural design at Mach numcere up to the critical.

Lonfcley Meuorial Aeronautical Laboratory Rational Advisory Comnitteo for Aoronautic3

Lungley Field, Va., May 7, IJhJ

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HACA TH Mo. 1390 11

Mom

1. Pearson, T.. 0., Jr., Evans, A. J., and «Teat, F. E., Jr.: Effects of Compressibility on the Maximum Lift Characteristics and Spanvlse Load Distribution of a 12-Foot-Cpan Fighter-Type Wing of HACA 230-Serles Airfoil Sections. HACA ACH Ho. I$010, 1945.

2. Thcc, A.: Blockage Corrections in a Closed High-Speed Tunnel. B. " M. Ko. 2033, British A .B.C., 10l»3»

3. Allen, n. Julian, and Vincentl, Welter C: The Wall Interference In a 'IVo-Dinonoicnal-Flcv Wind Tunnel with Consideration of the Effect of Compressibility. HAW Hep. No. 7ÖE, 19M.

4. Wood, Clotalre, and Zalovclk, John '. •: Flight Investigation at High Speods of Flow conditions over MI Airplane Wing as Indicated by Surface Tufts. HACA CB Ho. L5E22, I9U5.

5. Furlone, 0* Chester, and Fitzpatrlck, Janen £.: Fffectn of Mach Hucuior end Reynolds Humbor on the Maximum Lift Coefficient of a Wing of HACA 230-Series Airfoil Sections. HACA TH Ho. IE99,

6. Anon: Chordwiae Air-Load Distribution. AHC-1 (2), Army-Havy- Clvll Ccesnittee on Aircraft Design Criteria, Oct. 28, lpt2.

Page 18: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

1 NACA TN No. 1390 Fig. 1

* *

1

I

/2-

Page 19: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

NACA TN No. 1390 Fig. 2

Q.

a.'

I

'S •

II

•si I H 1 •

/3

Page 20: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

NACA TN No. 1390 Fig. 3

' -.ure3 wlft/ ,,,, ftjrtr tkifi

number, (rrnrn onjh: cf attac*

rmftpff/.

/^

-'

Page 21: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

Fig. 4a NACA TN No. 1390

If, M /.O

\ ,( l - -I.Z A V

i—

-!*

• : L_

I*

(a.)StationZ; CCS.3'. ~'~

Page 22: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

I

NACA TN No. 1390 Fig. 4b

20 —, 1 ' T— • • — T ' M '1 ... 1

1 I fX

" 1 "* 1

• < \

*min

— I—' / A*2

Kcr- =fc====: --H-

-&o

• «* - C~nt*nac<J.

/*

Page 23: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

Fig. 4c NACA TN No. 1390

-Z-4,—|— • 7* 1 , *

-Z.0 1 1 ^

=» •

1 \ ^~ .r- \ ^ • —1!—

,1 figu- re 4. - Continued. •

11 •~

Page 24: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

! NACA TO No. 1390 Fig. 4d

,„ A1 /O IZ /.-4I.6 - - \\M -fy\ \°k

-?**<=-- - V -u-.V- te ' V-A

/.? i —i ^

/"<„•.•• -/ c •• • //

Page 25: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

Fig. 4e NACA TN No. 1390

ajr

-2.B

-ze

-Z4

"min - 2.0

16

U i.O

cn .3

M 1.0 t.Z M 16

\ Ar\l\ \ \> i

^ L A \ A """ ~' _^*' I v£ \ \ N

. 4- X\ zt _LX

v • c, r = C"(i A+2 \

\ u^ v • 1 1 1

F~/gurC +. - Ccrtfi'iutxl.

Page 26: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

NACA TN No. 1390 Fig. 4f

-Xt —,—. — r /.' 1.41.6

- •• \

•• 1 '

- £0 v \\ 1 y

- 16 , u \ N

£> ./utson J ;tr •//./'.

•' •////'• 4. - Continued* •ZO

Page 27: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

Fig. 4g NACA TN No. 1393

4? .J * S x/c

($) srnt/en 3 ; et • /JC.e?

figure 4-. - Continued.

6 .T a .9 I.O

*'

. •

Page 28: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

NACA TN No. 1390 Fig. 4h

f/ffure 4. . Cant,nuetf.

/ <

*z.

Page 29: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

Fig. 4i NACA TN No. 1390

M ic

ZI

O .1 Z 3 * S .6 .7 a ft) Station3; et • /**."

Page 30: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

I NACA TN No. 1390 Fig. 4J

H.O\

1^

>r ArJt i

• J <

- i 4- 1 ^ l

1

I

(J) Station JN tft »A IC

*y

Page 31: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

Flg. 4k NACA TN No. 1390

Jure. 4 , 1,1 /' /.

Page 32: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

NACA TN No. 1390 Fig. 5a-d

• •

;;;;: .•

Rtqion ol «uptrtonic flow

016 cd o 008;

\\i± o i , i i . i 0 2 4 6 8 10

Fraction of semispan, JL b/2

(c)M0'0603 (d)M0-0658

Figure 5.—Contours of pressure coefficient over upper surface of

fighter-type wing and spanwise distribution of normal-force and

profile-drog coefficients as affected by compressibility a«23' ^L

Page 33: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

Flg. 5e,f NACA TN No. 1390

-» Trailing edge

:--...--:j....:

•'••••••••••

Cd.

016

ca

o

T^T^TTTT^

:::. • • i ffi

2 4 6 8 <e)f^0 678

10

0 2 4 6 8 10 Fraction of Mmisoan, 1

(OM0.0 7I6

Figurt 5— Concluded

Page 34: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

Fig. 6

NACA TN NO. 1390

2 4 6 8 .0 0 2 4 6 8 10 Fraction of sem.spon. -^

WM-0 597 (d)M,'0654 „«

"ip

Page 35: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

Fig.. 7a NACA TU No. 1390

f

P

r^ :

^S> <\>-Station

v^^ P •'• \z

M0=0.204 0

1

Rfc^^V ^^* » M0=0.505

M0=0607

Measured

Calculated M (a) (T-0.2C

FiaureT-Measured and calculated pressure distributions

and angles of attack.

Page 36: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

Fig. 7b

NACA TN NO. 1390

\

Figure 7-Continued

Page 37: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

Fig. 7c NACA TN No. 1390

M0=0204 M0=0.507

MQ'0.608

Measured

Calculated

(c) <r - 8.9°.

Figure 7 - Continued.

V :

Page 38: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

NACA TN No. 1390

Measured

Calculated

(d)tf- 13.2°.

Figure 7 - Continued. 32.

Page 39: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

Fig. 7e NACA TN No. 1390

Measured Calculated

(e)<r-l7.5°. Figure 7-Continued.

Page 40: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

! NACA TN No. 1390

Fig. 7f

M0=0.40l

Figure 7-Concluded.

—— Measured

(0<r-2i.2°.

"3 V

Page 41: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack
Page 42: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

TITLE: Effect of Compressibility on the Distribution of Pressures over a Tapered Wing of NACA 230-Series Airfoil Sections

AUTHOR(S): Pearson, E. O. ORIGINATING AGENCY: National Advisory Committee for Aeronautics, Washington, D. C. PUBLISHED BY: (Same)

ATO- 9573

(None) OHIO. AOENCT NO.

TH-1390 MtSilSKINO AOEMCT KO.

July '47 Unclass. U.S. Eng. MOES 34

llUlfTUTIONS photos, graphs, drwg

ABSTRACT:

An investigation is presented of the effect of compressibility on the distribution of pressures of a tapered wing. Peak values of minimum pressure coefficient attained were found to correspond to local Mach numbers of from 1.2 to 1.4, except at angles of attack near low speed stall. In most cases noticeable flow separation was Indicated only at stream Mach numbers exceeding those at which peak minimum pressure co- efficients were reached. At large angles of attack, near low stall speed, there was some indication that flow about wing broke down when critical pressure coefficients

' were reached.

DISTRIBUTION: Request copies of this report only from Originating Agency DIVISION: Aerodynamics (2) SECTION: Wings and Airfoils (8)

ATI SHEET NO.:R-2-8-*0

SUBJECT HEADINGS: Pressure distribution - Wings (74500); Airfoils - Compressibility effects (08032)

Air Documents Division, Intolllnonco Doportmonl Air ttotoriol r

AIQ YBCHNICAL IMOGÄ Wrloht-Portoraon Air Porto Dnso Dayton, Ohio

-I

Page 43: UNCLASSIFIED AD NUMBER LIMITATION CHANGES · were made vith the tunnel epeod held constant while the angle of attack waa verier in the region near maximum lift. The angle-of- attack

TITLE: Effect of Compressibility on the Distribution of Pressures over a Tapered Wing of NACA 230-Series Airfoil Sections

AUTHOR(S): Pearson, E. O. t !--PAGINATING AGENCY: National Advisory Committee for Aeronautics, Washington, D. C. |^V5) SHED BY: '(Same)

M ^47. DOC CUUS. Unclass.

couNrar U.S. Eng. 34

OTO-9573

JSsasL OtHO. AOENCT HO.

TN-1390 PUOUSKtNO AOGNCT MO.

•lUniDATUKO photos, graphs, drwg

An Investigation is presented of the effect of compressibility on the distribution of pressures of a tapered wing. Peak values of minimum pressure coefficient attained -' were found to correspond to local Mach numbers of from 1.2 to 1.4, except at angles of attack near low speed stall. In most cases noticeable flow separation was Indicated only at stream Mach numbers exceeding those at which peak minimum pressure co- efficients were reached. At large angles of attack, near low stall speed, there was some indication that flow about wing broke down when critical pressure coefficients were reached. /\ ^ *, / ^ ^^^

Request copies of this report only from Originating Agecay=" Aerodynamics (2) Wings and Airfoils (6)

iTI SHEET NO.: R-2-6-SO

SUBJECT HEÄDINSSfPressure üstrlbuUon>-\Wings>(74500); Airfoils - CompresBSSSti7=enBete=<08S32)

Air Documonti Division, InrolllQonco Dopartmont Air Matoriol Command

Ala TECHNICAL iMDtUl Wrf0rrt.Pul1mt.il Air Ferco Doso Dayton, Ohio