19930092711
RB No . L5F15a
NATIONAL ADVISORY COMMITTEE FOR AERONAUTICS
ROPERTY OF
JET PROPULSION
CALIFORNIA INSmUT
U80RA JDRy lIe_
E OF TECHNOLOGY
I
~
ORIGINALLY ISSUED
July 1945 as
Restricted Bulletin L5F15a
TABLES AND ClIARTS FOR TEE EVALUATION OF
PROFILE DRAG FROM WIlKE SURVEYS .AT
HIGH SUBSONIC SPEEIS
By Myron J. Block and S. Katzoff
Langley Memorial. Aeronautical. Laboratory
Langley Field, Va .
WASHINGTON
NACA WARTIME REPORTS are reprints of papers originally issued to provide rapid distribution of
advance research results to an authorized group requiring them for the wax effort. They were previously held under a security status but are now unclassified. Some of these reports were not technically edited. All have been reproduced without change in order to expedite general distribution.
L - 107
-------- ----
--- ------~---~------~------
NACA RB No . L5?15a
NATIONAL ADVISORY COMMITTEE FOR AERONAUTICS
~ESTRICTED
BULLETIN
TABLES AND CHART S FOR THE EVALUATION OF
PROFILE :9RAG FROM WAKE SURVEYS AT
HIGH SUBSONIC SPEEDS
By Myr on J. Block and S. Katzoff
SUIVIMARY
Tables a nd charts for the eva l uation of profile drag
from wak e surveys at high subsonic speeds are presented.
Thes e t ab l es and charts are for use with two methods of
evaluation, a n exact method tha t may be applied to wakes
of any shape and a simole approximate method that may be
applied when the variation of total-pressure loss across
the wake has the typ i cal form (resembling a cycle of 8.
cosine - squared curve).
INTRODUCTION
As an aid in the de termination of profile drag from
wake surveys at high subsonic speeds, tables and charts
ha v e been prepar ed to mini mize the com:outation!::..l labor
invol v ed . These t ab l es and char ts are presented h e rein,
together with a brief di scussi on of their a p plication.
The data ~ r e for both the approximate method of refere nce 1, which simply applies a correction factor to the
integra l of the t o tal- p ressure loss acro ss the wake, and
the exa ct po int-by- po int me thod, for use when the d istributio n of tot a l-pr essure loss acr oss the wake does not
follow the typica l pa tt e rn.
The data for both methods
are for Mach numb e rs up to 1.0.
SYMBOLS
c
cho r d
d
d rag p e r unit span
I
I
r--
.-
--.
2
NACA RB No. L5Fl5a
Cd
section profile - drag coeffi cient
o
(
d
~
~poVo2c)
F
factor for evaluation of drag coefficient by
ap~roximate method
H
total p ressure
M
1acb nurrber
p
static oreS3ure
V
velocity
w
thickness of wake
y
distance across wake
p
density
Subscripts :
o
free stream
I
at plane of neasurement
max
maximum
THEORY AN:) lj ETHO:::>
The basic theory of the use of w~ke surveys for the
measurement of wi n g profile drbg has been largely dis cussed in previous literature (fo r example, reference 2) .
.rTo further di s cussion of the equations used wi 11 therefore be given , except to note that the ratio of specific
hea ts for air was taken as 1. 4oL~, Theoreti cal and experimental studies have confirmed that the basic aS3un~ptions for example, that essentially streillaline flow exists in
the wake downstream of the measuring station and that
the stagnation temperature in the wake is the same as in
the free stream - are accurate or are satisfactory approximations to the actual conditions. Errors are more likely
to arise from sources of a less fundamental nature, such
as from cross flows of the wing boundary layer, which
may confuse the relation between the wake at a certain
spanwise station and the profile drag of the wIng at that
_J
NACA RB Ho . L5F15a
3
stati on, o r from so high a deGree of turbulence in the
wake (as b ehin d a fl ap ) that both the method and the
pressure readings are invalid.
CHARTS AND TABLES FOR POINT -BY- POINT CliLCULATIONS
The fli ght Mach numbe r Mo and the flight impact
p r essure Ho - Po are assumed to be known, in addition
to the va lu es of total - Dr es s ure deficiency Ho - HI and
of st atic - p res sure rise PI - Po at points in the wake.
Table I and figure 1 g i ve the factor
or
Drag pe r u nit span pe r unit thickness of wake/
lp
Ho
Ho
V 2
200
as a function of
~o,
Ho - HI
and
PI - Po
Multiplying
Ho - Po
Ho - Po
this factor by the fractional loss of impact pressure at
Ho - HI
a point in the wax e
gives the value of
CCdo'
Ho .~ Po
which corresponds to unit thickness of wake at that point.
Inte g ration of this value across t he wake gives CCd
o
for the section .
The values given h e rein were comDuted in some detail
for Mo
0, 0 . 2, 0.4, 0 . 6, 0 . 8 , and 1.0, and for
Pl - Po
- 0 . 1, 0, 0 . 1, and 0 . 2 . rrh e valu es for other
Ho - Po
Mach numbe r s and pressure ratios were found· by in terpolation and numer0us calculated checks were made . 'I'lle
factors are accurate within ±0 . 002.
=
=
4
NACA RB No. L5?15a
CHARTS FOR APPROXllfATE METHOD
When the distribut~on of total-pressure loss across
the wake follows the typical pattern, profile drag can
be obtained wi th good accuracy by a relati vely simple
method (reference 1). In this method, the drag is deter mined direct ly from the product of the integral of totalEo - Hl
pressure loss across the wake (
- dYl and a facHo - P
Vw
- 0
tor F, which is a function of the maximum total-pressure
loss in the wake, the average s tatic pressure in the wake,
and the flight Ma ch numbe r; thus,
CCdo
where
F
=F
!
w
is a function of
Ho - HI
-Eo
- -- -Po
- dy 1
(;~-=-!Il '\
,
~l
- Po
Ho - Po
Ho - po)
max
and Mo ' In practice the int egral is ob tained eithe r by
use of an integrating manometer or by actual integration
of point - by-point measurements of Ho - HI
in the wake .
Values of F are plotted in figure 2. The values
were computed by assuming that the total - pressure loss
across the wake had a cosine-squared dist ribution
____
Ho - Hl = ( ll0
Ho - Po
Ho
- H~)
-
p /
cos
o max
w
w
<
<
Yl
2"
2 =
2 TrYl
-W-
and by di viding the value of
cCd 0 ,
as computed by the
point - by - point method , by the value of
1
Ho -
w H0 -
Figure 2, whi ch gi ves F dire ctly for I.~ach numbers
from 0 to 1.0, is considerably more- convenient to use than
the data of reference 1 , which gives F di rectly only
for Mo
0 and includes a tab l e of corrections for
values of Mo other than zero . It should be pointed
=
NACA RB No .
L5Fl5a
5
out further that the correction table of reference 1
contains some systematic errors that are appreciable at
high Mach numbers . The results presented herein are
considered accurate (for an exact cosine-squared profile)
to abo ut ±0 . 2 percent.
Although this simplified procedure can sreatly
expedite the computation of wing profile drag, its application definitely requires that the wake profile be~r a
reasonable resemblance to the assumed cosine-squared
(
P:~f:l:{)eSP~Ci:::: :::hw::e:p::::i~:::ed:;~:::t;ffrom
o
0 max
the usual profile, however, the error in the use of this
method will hardly exceed 2 percent. As in the case of
a shock where the wake profile shows a relatively narrow
peak superimposed on a broad base (fig. 3), the error,
however, may easily become excessive. When point-bypoint measurements in the wake are available, accuracy
can be retained in such a case by considering the wake
in two parts, as indicated in figure 3; each part shows
:u:a:~::a:::r: :::;:::::t~::u:o
0; c(o~~n~-:r~)uared
Ho - p
Drof'ile
o max
RELATED CHARTS
Another pape r (reference 3) has been prepared that
gives results related to those given in the present paper.
In reference 3, charts are given of the ratio of F for
compressible flow to F for incompressible flow for Mach
PI - Po
numbers to 1.0, fo r values of
from -0.4 to 0.1,
F"O - Po
and for value s of
- HI)
____
(H
Ho - P
o
~o
rate char t is given of
~
F
from 0 to 0.7.
r!1b.X
A sepa-
for incompressible flow.
Langley Memorial Aeronautical Laboratory
National Advisory Commit t ee for Aeronautics
Langley Field, Va .
-
-
- -- . -
-
-
--
r
6
NACA RE No . L5F15a
REFERENCES
1 . Silverstein , A. , and Ka tzoff, S . : A Simplified kethod
for Deterlilining ,Hng Profile Drag in Flight .
Jour .
Aero . Sci., vol . 7, no . 7, May 1940 , P] . 295 - 301 .
2 . Davis , Wallace F . : Comparison of Various Eethods for
COY':puting Drag fr om ;.Vake Surveys . NACA AR:t, Jan .
1 9L~3
•
3. Heaslet , Nlax A. :
Theoretical I nves tigation of f':e thods
for Cor,lputlng Drag from :Na;{e Surveys at High Subsonic Speeds . NACA A~ No . 5C21, 1945 .
ADDENDll;i
The authors wish to call attention to the following
related pape r:
BanIs , Do n ald D., and I'1o urhess, II-Iary J.: Numerical Evaluation of' the ':Jake - Survey Equations for ¢ubsonic Flow
Including the Effect of En ergy Addition . HA.CA RE
~'jo .
L5H27 ,
1 91.~5
which has appeared since ~)ublicati o n of tl.e present bulleti n.
The tables and charts of this related paper, \lh ich 18
concerned only with the point - by - point method , are for use
not only with flows of constant tote energy , as in normal
wakes , but also vvi tn flo'ls of increased tot :;!.l ene r gy , as
in VifB_\.E)S of ~ropellers Clnd jet-prop;..l.lsion lLnits . Total pressur e and st&tic - pressure coefficients are b2sed on
~poV02
L. _ _ _ _ _ __
inst ead of on
Ho - Po
as in the present bu lletin.
i
I
_ __ _ _ _ ._
_ _ _
7
NACA RB No. L5F15a
TABLE 1.- VALUES OF
d(CCdo)/~
-d-y-
110 _
Po
FOR BVALUATIOIl
Or. ?IlOnLE DRAO PRC* WAXlI: &uRYIrY
~
~ 110 - Po -0.100 -0.075 -0 .050 -0.025
R" -
0
0.025 0 .050 0·075 0.100 0.125 0.150 0.175 0.200
Po
0
1.048
1.036 1.024 1.012 1.000 0·988 0.975 0. 962 0.949 0 ·936 0·923 0·909 0 .895
1.018 1.006
.994 .981 .9&8 ·955 ·942 ·927 ·915 ·900 .886
.025
1.043 1.031
.050
·075
. 100
1.038 1.025 1.01Z 1.000
1.032 1.019 1.006
·993
1.026 1. 013 1.000
.987
.125
1.020 1.007
.150
1.014
. 175
.200
.225
·987
·980
·974
.967
.961
.960
·980
·953
·938
l'.001
·994
·988
·973
.966
·954
.946
.973
·959
·945
.930
1.008
.995
.981
·966
·952
1.002
·988
·974
.959
·944
·937
.9 29
.981
.961
·914
·959
·951
.943
·936
.928
·921
.250
·995
.988
.275
·981
.967
·951
·935
·920
·948
.940
.934
·926
·920
·912
·907
.899
.892
.883
.877
.868
.859
·932
.918
.875
·910
·904
.895
.890
·924
·916
.881
.865
.849
·901
.886
.871
.855
.839
.922
·908
.892
.877
.861
.845
.829
·914
.899
.883
.967
.851
.835
.818
·905
.896
.890
.880
.874
.864
.858
.841
.825
.807
.847
.830
.813
·195
.903
.887
.870
.854
.837
.819
.801
·783
.878
.860
.844
.826
.808
·789
·770
·912
·943
·927
·911
.894
·951
·935
·919
·902
.885
.868
.850
.833
.814
·196
· 777
·757
.943
·927
.918
·910
.893
.875
.858
.803
.783
·764
.883
.865
.847
.839
.828
.821
·901
.809
·790
·770
·750
·143
.128
·735
. 720
. 697
·300
.)25
.974
·967
·350
·959
·375
·951
·935
·959
.713
·400
·943
·926
.873
.855
.836
.811
.797
·777
·756
·935
.926
·917
·909
.899
.891
.425
.881
.863
.844
.824
.805
·784
·764
·7U
·908
.889
.871
.852
.8,2
.811
.792
·770
.749
·726
·702
.679
.898
.879
.860
.840
.820
·798
·778
·756
·710
. 685
. 661
.450
·475
·917
·500
·908
.889
.869
849
.828
.807
.785
·76,
·741
·733
·718
.694
.669
.642
·525
.898
.858
.837
.816
·794
·771
·748
.7 25
·701
.675
.648
.620
.847
.825
.&83
.656
. 627
·597
.812
·733
.111
.708
.691
.664
.636
. 606
·513
.699
.612
.645
.614
· 582
·548
·521
.488
·550
. 575
.600
.888
.879
.868
.877
.8 56
.866
.844
.8'5
.822
.625
.855
.8,2
.809
.650
.843
.819
.675
.8 30
.806
·195
·781
.80'
.789
·781
.756
.766
·750
·185
·775
.760
·741
.725
.134
•7fT(
.661
.652
.622
·590
· 551
.770
.744
.711
.&88
.660
.630
·597
·564
· 525
·754
·126
.698
.667
. 637
.606
·570
.534
.493
.451
.613
.578
·540
.456
·409
·799
·700
.817
.792
.766
.80}
·749
.108
.688
.678
·725
·737
·719
.646
.656
.622
·587 .548 · 508
·500
.462
.416
.357
·731
.699
. 667
. 634
.596
. 558
.516
·470
.422
.,65
. 298
.644
.605
·568
. 524
.479
·429
·372
· 303 .214
.218 0
·750
·789
·777
.760
·775
.800
·773
.742
·712
.678
·757
.655
.618
·579
· 536
.488 .437
·740
·724
.706
.690
.825
· &70
.6,1
·590
·541
.498
.446
.}86
.850
·721
.685
.646
.604
· 558
·522
.405
.395
.,,0
·321
·572
·509
.466
·456
.619
·587
·536
.480
.416
·340
. ~O
.350 .248 0
.258 0
.875
·701
.662
·900
.679
.635
.925
.657
.608
·550
·496
.430
·950
.633
·578
·517
.448
·365
·975
1.000
.610
.546
.473
·386
.273 0
.632
.548
·447
·316 0
·319 ·309
·315 .223 0
.228 0
. 2340
0
RA'l'IOUL ADVISORY
COIIIIIT'1'U FOR AERONAO'1'ICS
NACA RB No.
8
L5F15a
TABLE I. - VALUES OP
d(eedol/110 - HI
-d-- ;;--Y
-0
-
10R KV.t.LUATIOI
Po
OP PROPILB \lIIJ.O PROIi WJ.!aI SURVn - COntinue'"
»0
~
~
110 - Po
:=
-0 . 100 -0.075 -0.050 -0.025
0.1
0
0 . 025 0.050 0 ·015 0 .100 0 .125 0".150 0.175 0.200
Ho - Po
0
.025
. 050
.075
1.042 1.029 1.018 1.005 0 · 99' 0 ·981 0 .968 0 ·956 0·94' 0 ·9,1 0 ·917 0.904 0.890
1.0'7 1.024 1.01,
· 999 · 987 ·974 ·961 ·949 .9,6 ·92, ·910 .896 .882
1.0,1 1.018 1.007
·994 ·980 ·968 ·955 ·942 .929 ·915 ·902 .887 .873
.988 .9"7' · 962 ·948 ·9'5 ·921 ·9°8 .894 .879 .864
1.02 5 1.01, 1.001
.85;
.100
1.019
1.007
. 994
.981
·967
.954
.941
·927
·914
.899
.885
.870
. 125
1.014 1.001
·988
· 975
·961
·947
·m
·919
·905
.890
.860
.845
. 982
·969
·954
· 940
.9,2
·925
·911
.896
.881
·876
.867
.851
·918
.90,
.888
.813
.858
.842
.8'5
.825
.925
·910
.894
.879
.86,
.848
.8,2
.815
.916
·901
.886
.871
.854
.8,8
.821
.804
150
1.008
.996
.175
1.002
. 989
·975
·962
·947
.200
·995
.981
.9M
·954
.225
.989
· 975
. 961
·947
·9'9
· 9,1
.250
. 98,
· 954
·92,
.908
.89'
.88,
.877
.862
.845
.828
.810
·792
.867
.852
.8"
.817
·799
·780
·768
. 275
.,00
·976
· 969
.96,
.~
·9'9
.9,2
·915
.899
·969
·955
·9,8
· 92,
. 906
.890
.874
.851
.841
.82,
.805
·962
·947
·9,0
.914
.898
.B8l
.8"-
.847
.819
.812
.",
·787
.325
.
.774
.7 55
·'50
·955
.922
.871
.818
·761
·741
.861
.824
.806
·799
.786
.780
.879
.85'
.84,
.8,6
·947
· 905
.896
.889
·375
.400
·9'9
·930
.767
.747
·921
.887
.870
.850
.8,2.
.812
·77'
.75'
·732
·727
.712
.877
.860
.840
.82.1
.801
·79'
·781
.760
.695
.849
.829
.809
.789
.768
.747
·139
.72.5
.718
.868
.702
. 679
·709
.685
.661
·91,
.425
·9'9
·9,1
·91,
· 904
.895
.450
.92,
·905
.886
·475
· 915
.895
.876
.857
.8,s
.818
.797
.776
.7 54
.132
.500
·906
.886
.&"
.844 .8a6
. e~
. 7~
.7601
·7~O
.1U
..,2
.666
.61j2
.814
.741
.724
.699
. 674
.647
.620
.792
·525
.896
.876
.8S,
.8'5
.550
.886
.866
.844
.824 .801 ·779 ·156 ·752 ·707 . 680 .654 .6Z1 ·598
·575
.600
.875
.855
.8,2.
.8u
.788
·7 64
.740
·715
.689
.864
.844
.820
·724
.697
.671
.S,l
.S07
·732
.650
.619
.586
·556
.S18
·794
.769
.71!Z
.657
.628
·595
·5LO
.525
. 615
.829
.804
.752
·725
. 666
.6'5
.604
·700
.815
.789
·779
.76,
·115
.696
·706
.686
.677
.650
.85'
.841
·77'
.758
·749
.62.5
·797
.rS,
.754
.706
. 616
.644 .612
·577
·570 ·5,1 .49' .450
·540 ·500 .457 .409
.725
.802
·175
·147
·716
.686
. 654
.620
·586
.549
·508
.464
.4.l~
.,62
.150
·788
.759
.729
. 697
.665
. 631
·594
·557
·515
·472
.422 .,67
.298
·175
.800
·17'
.74'
.72.5
·710
. 676
. 643
.604
·565
·525
.479
·4,0
.691
. 655
. 618
.629
·590
·577 ·5,4 .488
·544 .499 .446
.4'7
.3S6
·'78
.,16
·'72
.,10
.,22
.228 0
·757
·770
.
.82.5
·739
. ~50
.644
. 60'
·556
·510
.455
.875
·720
.700
·704
. 68,
.669
.659
. 617
·574
· 521
.465
.405
·900
.679
.6,4
. 585
·5'5
.476
.415
.340 .242 0
.925
.657
.608
.552
.49'
.429
·950
.633
.578
· 515
·444 .,65
·'51 ·2490
.2600
·975
1.000
.610
·546
.472
.,Sl
.6'3
·547
.447
. 316 0
·'95
.,,0
.661 .6" .604 .574
·640 .611 .580 .548
· 520
.488
.,04 .21,
.2.18 0
.22, 0
.2'5 0
.2740
lIATIONAL ADVISORY
COIIIIITTU 10R AEROll.t.UTICS
9
NACA RB No. L5F15a
TABLE 1.- VALUES 01'
d(CCcIoYBe -
H1
-H--
-.u'1
0
-
Po
1'OR iVALUATIOI
01' PROI'ILB DRAG PIICliI UD SURVBY - Continued
~
110 - HI
Be -
Po
-0 . 100 -0.075 -0.050 -0.025
0
0.025 0.050 0·075 0.100 0.125 0.150 0.175 0.200
Ho - Po
1.006 0·994 0·982 0·970 0.958 0.946 0·9"
0·921 0.908 0.895 0.881
1.028
1.017
.025
1.02,
1.012 1.001
·988
·976
·964
·952
.050
.075
1.018
1.01.,
1.007
1.001
·~5
·983
·970
· 958
·945
·~9
·977
·964
·952
.100
·995
.983
·971
·958
.945
. 125
1.007
1.002
·989
·977
·964
·952
·938
.150
·996
·983
·971
·958
·945
.175
·990
·978
·965
.951
.938
.200
·985
.972
·958
.944
·930
.225
·979
.965
.951
. 937
.923
.909
.894
.Z50
·959
·944
·930
.915
·901
.886
.275
.97'
·967
·952
·922
·908
.860
.844
.960
.945
.915
.868
.851
.834
.817
.325
·953
. 946
·938
.9,1
·92.'
·915
·908
·900
.892
.89'
.884
.877
.,00
·9'1
·930
.8'7
.8<17
.876
.858
.899
.883
.866
.841 .82' .805 ·188 .769 .750
.848 .8,0 .81Z ·794 ·774 .756 .736
.939
·923
.890
.823
.855
.8,8
.819
.801
·782
·762
·742
.722
.915
·907
.898
.881
.863
.845
.827
.808
.789
·769
.748
.727
·907
.889
.872
.85'
.836
.816
·797
·777
·756
.71,
·707
.691.
·843
.832
.824
.804
.785
.764
·742
·734
·720
.81.2
·792
·771
.750
·705
.689
.699
.682
.656
.664
0
·'50
.'75
·400
·9'9
·932
·926
·913
·900
.887
.873
.919
.892
.879
.865
·9'9
·9Z5
·91Z
·906
.898
.884
·870
.856
·93Z
.918
.876
.868
.847
·910
.890
.882
.862
.853
.8H
·931
·924
.917
·904
.896
·902
.888
.874
.859
.844
.827
·923
·909
.895
.880
.865
.850
.854
.817
.917
·902 .887 .872 .856 .840 .824 .807
·879 .863
.870 .854
.847
.830
.8ZQ
.810
·799
.814
·7"
.80, .786
.79'
.781
.775
·76,
.425
·931
.9 23
·450
.475
.9~
.897
.880
.862
.906
.888
.870
.851
.500
.897
.879
.860
.841 .820 .800 ·779 ·758 ·735
·727
·71,
.525
.888
.869
.850
.830
.808
·787
.765
.697
.671
.646
.550
.878
.859
.839
.819
.795
.773
.704
.678
.651
. 575
.600
.868
.848
.827
.806
·782
.759
·751
.7,6
·74'
.728
.720
·712
.685
.659
.6,1
.624 .594
.603 •. 570
.858
.8H
.815
·792
.768
.744
·720
.694
.666
.639
.609
.578
.625
.847
.824
.802
.778
.753
.728
.703
.675
.646
.61.6
.586
·552
.650
.835
.8ll
·788
·762
.685
.656
.624
·594
.561
.675
.798
·774
.693
.665
.635
.601
·568
·531
·524
.493
·700
.810
.785
·759
·747
.732
·737
.721
·7ll
.823
·70,
.674
.644 .6ll ·576 ·538 ·498 .458 .408
·725
·797
·769
·742
.652
.620
.586
.549
·507
.462
.415
.365
·783
.7 54
·714
.694
.684
·750
.663
.629
.595
·557
.526
·515
·469
.422
·368
.298
.477
·428 ·371
·'78
·316
.768
.738
·724
.706
.674
.640
.604
·566
·752
.719
.686
.651
.615
·576
.486
·~5
.664
.628
.588
·544
.442-
.}86
.850
·735
.716
.699
.5"
.497
.602
.615
·572
·55l<
·521
.508
.696
.679
.658
.640
.875
.454
.405
·'95
.328
·322 .2300
.236 a
·900
.675
.631
·585
·536
·48c
·925
.654
.606
· 554
.495
.42~
·950
.632
.,6'
·975
1.000
·514
.472
·443
.609
·579
.545
.415 .340 .242 0
·n2 .249 a
.260 0
·381
.27~
.63}
.546
·447
.316 0
·775
.800
.825
.465
·310
.674
.6'7
.616
·545
.518
.487
.455
.304 .213
. 218 0
.221< 0
0
IATIOIlA!. ADVISORY
COIIIII'l'TBI! FOR ABR09AUTICS
J
NACA RB No. L5F15a
10
TABLB I . - VJ.LOBS OF'
d(ccdo
)./ ~
d1 I 110 - Po
OF' PRO:>ILZ IlftJ.O F'ROII WAD
~
110 -
Bo - Bl
Po
-0.100 -0.075 -0.050 -0.025
0
slIIvn -
!'OR IV ALU~IO.
Contlnue4
0.025 0 .050 0.075 0.100 0.li5 I(L150 0.l75 0.200
Ho - Po
0
0·972 ~.962 0 . 949 0.938 0 ·926 0.914 0.902 0.890 0.878 0.865
·968 · 957 ·944 ·933 ·920 .908 .896 .883 .871 .858
·979
. 951 .938 .926 ·914 ·902 .890 .876 .863 .850
.963
· 97~
1.004 0 · 994 0 ·983
.025
1.000
· 990
. 050
· 995
.075
·991
·986
.980
. 969
·951
·945
·9~ 2
·920
.908
.895
.882
.869
.855
.842
. 100
. 986
·914
.964
·951
·939
.927
·901
.888
.875
.862
.847
.833
.125
·981
·969
.958
.945
·921
.894
.881
.867
.854
.8}8
.824
·939
·9"
. 927
· 914
.908
.914
·901
.887
.873
.859
.845
.830
.815
·907
.894
.880
.865
.851
.837
.822
.806
.812
·196
.150
. 976
. 964
.952
.175
· 911
·958
·946
·933
. 921
.200
·965
·952
· 940
·921
.914
· 901
.881
.81}
.851
.843
.828
. 225
·959
. 946
·9'4
·921
· 907
.894
.880
.866
.849
.835
.819
.802
·786
.250
· 953
·940
· 927
· 914
·900
.886
.872
.857
.841
.821>
.809
·793
·175
.275
. 948
·920
.878
.86,
.848
.8,2
.816
.199
·18,
·164
. 942
. 913
·201
.H99
.892
. }OO
·9'4
· 921
.884
.810
.854
.8}1
.822
.804
.788
·171
·752
.325
· 935
· 920
· 906
.892
·876
.862
.845
.828
.812
·194
·m
·758
·740
.350
.928
·914
.H99
.885
.868
.854
.836
.820
.802
.784 .756 .746 ·727
·375
.400
·922
·907
.892
.817
.859
.844 .826 .809 ·791 .172 .754
·915
·900
.884
.861
.850
.8}3
.Hl l>
.798
.823
.805
I
·73}
·714
·761
.741
·720
·1>99
.787
·179
.767
·748
·706
·684
.734
·727
.11}
.691
.668
.650
.42.5
· 908
.892
.875
.858
.840
.450
.900
.8H3
.H67
.848
.830
.H12
·794
.174
·154
.475
.892
.874
.858
.839
.820
.801
.782
.76,
.141
.120
.698
.674
·500
.884
.H66
.848
.828
.809
.789
.1' 9
·748
·727
.712
.704
.681
.657
.6}2
.688
,664
.639
.611
·7~
. 525
.815
.858
.838
.818
.798
.177
.756
·550
.866
.848
.8a'1
.801
.786
. 743
·120
.696
.612
.645
.620
·590
· 575
.600
.B56
.83B
.B17
·791
.774
.1'5
.152
·128
.679
.652
.625
·598
·566
.846
.827
.806
.784
. 760
·737
.71,
·704
.687
.625
.836
.816
.793
·170
. 746
·7 21
. 696
.669
.661 .63' .604 ·574 ·542
.641 .612 .581 ·548 ·515
. 650
.825
.803
·780
.756
·730
·7 04
.&t!7
.617
.649
.620
. 658
.629
.597
·588
·556
.522
·485
·564
·528
.491
·449
·766
.741
.714
. 777
.752
·725
.696
.667
.6,8
.606
·573
.536
.498
.455
·407
.763
. 7}6
.647
.615
.581
.545
.)05
.401
.413
·776
.748
·719
·707
.688
.677
.657
.62Eo
.591
.m
.512
.469
.420
.,6}
·358
. 297
.162
.732
.700
. 668
.427 ·"9 .,02 .21,
.647
·562
.5, 1
.477
. 681
·599
.512
·521
·746
·/)35
.611
.485
.436
·377
· 584
·542
·494
.44'
·385
.504
·453
.394
·321
.'14
.227 0
.2~
.675
.814
·7 90
.108
.802
·725
.789
·750
.175
.800
.825
.730
·714
. 696
.660
.624
.850
·711
. 617
. 637
· 597
.815
.692
.652
. 612
·566
·55'
·518
.464
.403
.328
·900
.611
.628
.58 2
·531
·475
·414
·340
.241 0
·925
. 950
. 650
.602
· 549
·492
·421
·352
.248 0
.629
·512
·511
.444 ·365
·915
1. 000
.608
· 544
.470
.632
·546
·447
·319 .214 0
.316 0
·308 .217 0
.2220
0
.26d 0
IIATIOIJ.L ADVISORY
COIOUTTEB !'OR AEROIUUTICS
l
11
NACA RE No. L5F15a
T.lBLK 1.. Vu,1JIS OP
d( cedo 1/110 - Hi
- - - - POR IVU,UATIOK
d1
110 - Po
OP PROl'ILB DR4G PROII WAD SORVBY • ConUn..ed
~
110 - Hl
110 -
110 -
Po
-0 .100 -0.075 -0.050 -0.OZ5
0
0.025 0 . 050 0.075 0 .100 0.lZ5 0.150 0.175 O.ZOO
Po
0
0·91'
0.9b3 0.95.5 0 ·94.5 0.9.53 0 ·9ZZ 0 ·9U 0·901 0.890 0.879 0.868 0 .857 0.845
.."
.884
.8n
.862
.850
.B90
.878
.866
.856
.84~
.8~1
.884
.872
.859
.849
.8'5
.82,
.889
.877
.86.5
.85'
.842 .827
.814
.88,
.871
.8~
.847
.8.54
.820
.807
.865
.85Z
.826
.81'
.798
.844
.8'9
.8,2
.818
.805
·769
.Il,a
.824
.810
.796
.760
.844
.829
.816
.801
.786
·770
.8.57
.8010!
.807
·792
·777
·7~
.OZ5
·968
·9S9
·9109
.9.59
·928
.,18
·907
.050
·964
·956
· 945
·9~5
· 92~
·91~
· 901
.075
·960
·951
·940
·9.50
·919
·908
.895
.100
·955
·947
· 9~5
.924
·915
.901
.125
·952
.942
· 9,0
. 918
·910
.895
.150
·946
·9~7
.925
. 914
.90,
.890
.877
.175
· 94~
. 9,1
. 920
·908
.896
.8B,
.871
.858
.200
·9,8
. 926
.914
·902
.890
.876
.864
.851
.225
·9.5.5
.921
· 909
.897
.884
.871
.857
.250
·928
·916
.877
.864
.850
.275
·92,
·909
· 90'
.897
.8,0
.884
.870
.857
·842 .828 .81, .798 .78, ·767 ·750
.,00
.8.57
· 917
·90,
.890
.876
.1! 6~
.848
.8.54
.819
.805
·769
·77'
·757
.,Z5
·911
.897
.884
.870
.8 56
.841
.826
.811
·794
·7"
·745
.727
·~50
·906
.891
.877
.86~
·848 .8.54 .817
.802
.784
·779
.768
·752
·715
.'75
.400
·900
.81l4
.870
.855
.840
.825
.808
.79a
.774
.757
.741
·7"
.7'1
.894
.878
.862
.848
.8,2
.816
.798
.78,
.762
.747
.728
·708
·n5
·116
.694
.bn
·7ZZ
·702
.679
.658
.664 .64l
.648 .62,
·7.59
·702
.686
·4'5
.887
.871
.854
.6.59
.62~
.606
.768
.772
.450
.880
.86,
.84'
.8,1
.814
.197
·778
.7.a
· 75'
.74'
.475
.87.5
.856
.8,8
.IlZZ
·1!04 .787
· 767-
.749
.129
·109
.688
. 500
.865
.848
.8,0
. 81~
.795
·776
.756
.694
. 672
. 525
.8 57
.840
.821
.80'
·78,
.764
.744
·7.57
.7a,
·715
.702
.679
. 656
.b,O
.605
· 550
·849
.8~2
.6U
.79.5
.772
.752
.7.51
·708
.686
.66,
.6.57
.6U
.584
· 575
. 600
·841
.82,
.802
.740
.717
·646 .617 .591 ·562
.792
.748
.727
·701
·69'
.676
. 670
.652
.~
.597
.568
. 625
.821
.81'
.802
.76'
.771
·761
.8,1
.781
.758
·7.55
·711
.686
.659
.6,2
.604
·574
·542
·509
.650
.811
·791
·768
·721
·695
.1>68
.641
.6U
·582
·549
· 514
.478
. 675
.800
.779
·755
·744
.7.51
·705
.676
.650
.6ZZ
· 590
.557
.5U
·484 .444
.700
·789
·766
·74'
·71b
.688
. 661
.6,1
·599
· 566
·528
.491
.450
.404
.7Z5
·777
·727
. 699
. 670
.640
. 609
.57~
.5.59
.499
·456
.409
.750
·765
.7 5'
.728
·711
. 681
.651
.619
·584
.547
·507
.46,
·775
.800
.752
·72'
.694
.66,
.6,0
·595
· 557
·516
.472
.4"
.,66
.,01
·'58
·295
.21,
·7.57
·707
.676
.64' . 606 . 568 .52.6 .461 .4'1 .'74
.~07
.2160
.825
·721
.689
.656
.618
·580
.850
·7 05
.671
.6,2
· 594
.875
.686
.648
·900
.667
.925
.647
.95 0
.625
·975
1.000
·44
.,sa
.,1,
·451
. .59-
.,20
.22.6 0
.401
.,29
.2" 0
. 5'7
.491
· 550
·501
.515
.46,
.414 .,,a .240 0
. 608
· 564
.625
· 579
·5,0
·475
· 599
.548
.491
.426
.571
·510
.605
.54'
.469
.44'
.,81
.6,1
·547
.447
.,170
.,6,
.247
. .550
.2 ~
·415
.,~
·5,6
.ZZO 0
0
0
.2740
IIATIOUL ADVISlRY
COIIIIITTD POll AXIIOUUTICS
12
NACA RE No. L5F15a
tABLB
1.-
d(CCd ljB
dy
01' I'IIOl'ILB
~
So -
~
So -
Po
- B
VJ.LUES 01' _ _0_ ~ I'OR
tl!AO
JrI.lL1I.lTIOIl
..,. - Po
l'1ICII WUlI SURVEY - Continued
-0.100 -0·075 -0 .050 -0.025
0
0.025 0.050 0.015 0.100 0.125 0.150 0.175 0.200
Po
0
. 025
0·9~2
0·92~
0 · 915
.912
0 ·906 p .898 0.888 0.878 0.870 0.860 0.850 0.840 0.829 0.817
.894 .884 .874 .865 .855 .844 .8~ .82~ .811
·90~
·929
·921
.050
·926
·917
· 908
.899
.870
.860
.850
.8~8
.828
.817
.805
·92~
·91~
·904
.895
.890
.886
.880
·075
.100
.875
.865
.854
.844
.8~2
.822
.809
.798
.920
·909
· 900
.890
.882
.870
.860
.848
.8~8
.827
.816
.80~
·791
.125
.916
·905
.896
.885
.877
.864
.855
.842
.8~2
.820
.809
.797
.784
.150
.912
·902
.892
.881
.872
.860
.850
.8H
.826
.814
.802
·790
.776
.175
·908
.898
.888
.877
.867
.856
.844
.8 ~2
.820
.809
.795
.78~
·768
.200
.904
.895
.884
.813
.862
.851
.8~
.827
.814
.802
.788
.775
.760
.225
.900
.890
.879
.868
.857
.846
.832
.821
.807
.79~
.780
.767
.751
.250
.896
.886
.874
.86}
.851
.8}9
.825
.814
.799
.786
·772
·757
.742
·275
.891
.880
.869
.857
.845
.8}2
.818
.806
·791
·777
.76}
.747
.7"
. }OO
.887
.875
.863
.850
.839
.824
.811
·768
.754
.882
.870
.857
.844
.8}2
.818
.804
·797
.789
.78}
. ~25
-774
.761
.744
·736
.729
.712
·}50
.878
.865
.851
.8}9
.825
.811
·796
.782
·765
·752
.734
.718
·700
.8}2
.818
.80}
·788
·77}
.756
.741
·72}
.707
.688
.675
·723
·375
.400
.873
.859
.845
.867
.85~
.8}9
.824
.811
·795
.780
.764
.746
·731
.712
.696
.425
.861
.847
.833
.81S'
.803
·787
·771
·753
·735
·718
.699
.682
.662
.450
.855
.841
.826
.811
.795
·779
.762
.741
.724
.706
.686
.667
.648
.475
.849
.8~
.818
.804
.786
·769
·751
.732
·71}
.69}
.673
.652
.6~1
.759
·740
·722. ·701
.680
.659
.6~7
.614
.7 29
.709
.688
.667
.644
.621
.596
.716
.696
.674
.652
.628
.604
·576
.682
.657
.6}4
.609
.584
.555
.667
·640
.616
·588
·561
·531
. 649
.62~
.596
·567
·5~6
·505
·500
.84}
.827
.810
· 525
.8~6
.819
.802
·795
.786
·777
.768
·550
.829
.812
·794
·776
.758
·748
.738
.575
.600
.822
.804
·785
·765
·747
.726
.814
.795
·775
.764
·7 55
·735
·712
·704
. 690
·14~
·722
·699
.674
.708
.684 .658 .6" ·604 ·576 . 54} ·511 ·475
.625
.805
·784
.650
.796
.774
· 75~
·731
.675
.786
.7 63
.692
.667
.640
.61 ~
·583
·552
·518
.482
.440
·775
·751
·741
.7213
·717
·700
·70}
.676
.650
.622
.592
·560
·525
.487
.447
.401
·725
.764
.738
·715
.686
.659
. 6~1
.601
·568
.5"
.496
.454
.407 ·355
·750
.753
·725
.699
.669
.641 .609 ·579 ·541 ·50,
.461
.652
.621
·413
.}66
.298
.419
.360
·587
.553
.512
.469
.l.28 .372 .305 .215 0
·775
.800
.740
.712
.683
.727
. 698
. 666
.6}4
·599
·562
.52<
.477
.825
.712
.681
.647
. 611
.57~
·5}2
.487
.437
·380
.312
.850
.696
. 66}
. 626
.587
.546
.499
.448
.,a8
.319
.225 0
.875
.679
.641
. 602
·557
·512
.459
.397
.328
.232 0
·"7
247 0
.239 0
· 900
.662
.619
·57 5
.524
·47 2
.410
·925
.642
·594
·543
.487
.424
·}50
·950
.620
·566
·506
.439
.}63
.259 0
.~75
.600
·5}9
.468
.376
.273 0
1.000
.6}0
.547
.447
.} 17 0
.2200
H&:l'IOI.\L AIlVI SORY
COIIIIITTD I'OR llIIOK.t.1JTICS
·292
.211
l
13
NACA RB No. L5F15a
T&BLE I.- VlitJES OP
d( CCdo
-
-
dy
>/110
-8
_ _ 1
110 - Po
POR EVliUATIOI
OP PROPILE DRAO PROII W.t.XE SURVllY - Continued
110
~
8
_
0
81
110 -
P
0
= 0.6
0
-0.100 -0·075 -0.050 -0.025
0 . 025 0.050 0·075 0.100 0.125 0.150 0.175 0.200
Bo - Po
0
-
0.885
0.877
0.871 0.864 0.856 0.849 0.840
.860
.852
0.8~,
.845
.a,6
.828
0.824 0.816 0.806 0·798 0.789
.820 .811 .801 .792 .78,
.025
.882
.875
.868
.050
.B79
.B72
.B65
.857
.B49
.841
.B,2
.B 2 5
.B15
.B06
.796
.787
·777
.075
.100
.878
.869
.862
.855
.845
.837
.828
.820
810
.801
·791
·782
·771
·876
.813
.867
.859
.852
.842
.816
.805
·797
·786
·776
·766
.864
.856
.847
.8,8
.8'4
.8,0
.824
.125
.820
.812
.800
·792
.781
·770
·759
.150
.871
.861
.853
.84'
.841
.835
.826
.816
.807
·795
·787
·775
.765
·753
.831
.822
.812
.803
·790
·782
·769
.758
·745
.828
.818
.807
.797
.7 86 ·775 .763 ·750 .H7
.175
.867
.858
.849
.200
.864
.855
.837
.225
.861
.852
·845
.841
.833
.823
.813
.802
.792
·780
.768
.756
·743
.250
.859
.848
.838
.828
.819
.808
·796
.786
·714
·762
.748
·n6
.722
.813
.802
.754
·740
·727
.718
·712
.693
.729
·275
.300
.855
.845
.834
.824
·790
.779
·766
.851
.841
.830
.820
.808
·797
·784
·772
.760
·747
·733
.325
.847
.837
.825
.815
.803
·791
·778
.765
·752
·,24
·350
.843
.832
.820
.808
·797
.784
.772
·758
·744
·739
.730
·715
·709
.700
·375
.400
.839
.827
.815
.803
·791
.777
.764
.749
·736
.720
·706
.689
.671
.835
.823
.810
.798
.785
·770
.756
·742
.727
.710
.695
.677
.660
.425
.830
.818
.805
.792
.778
·763
.733
·717
·700
.684
.665
.646
.450
.826
.812
.799
.785
·771
.756
.739
·725
·708
.691
.672
.654
.633
.475
.820
.806
·778
.763
·747
·730
·715
.697
.680
.659
.640
.618
·500
.815
.800
·793
.786
.
·748
.770
.755
·721
·704
.692
.685
.667
.602
.653
·645
.630
.625
.674
.609
· 699
.687
.680
.661
.639
.615
.59 2
·585
.566
.667
.646
.622
.598
·573
.545
.675
.653
.631
.605
.580
.~
·522
.661
.638
.614
.587
·559
·528
.496
·535
·502
.467
·509
.480
.473
.434
.395
·703
.683
·525
.809
·n4
·778
·763
.746
·737
.728
·550
.803
.787
·770
.754
·737
.718
·575
.600
.796
·779
.762
.744
·728
·789
.782
·772
.754
.736
·717
·707
.696
·764
.745
·726
·705
.684
·775
.766
.755
.714
.693
.670
.646
.622
·595
·566
.745
·735
.724
·702
. 679
.656
.630
.60'
.57~
.543
·700
·757
.735
·712
. 689
.664
.640
.612
· 582
·55]
.516
.725
·747
..,,6
.725
·700
. 675 .. 649
.621
·591
.559
·525
.487
.447
·440
.401
·712
.686
.658
.6,1
.600
.568
.534
.491
.454
.409
.355
.291
.;no
.625
.650
.675
.750
·711
·725
.698
. 671
.642 .611
.578
.544
·505
.46.
.417
.361
.296
·712
.684
.656
.624
· 590
.514
.412
.425
·369
·301
.214 0
.825
·700
.670
.638
.604
·566
·554
.526
.482.
.435
·308
.219 0
.850
.685
.654
.619
·581
.540
.493
·445
·386
·377
.31E
.875
.67 0
.635
· 595
·555
. 506
.455
·395
·409
·335
·327 .23
.238 0
·775
.800
·900
.653
.614
·570
·523
.468
.925
.634
·589
·540
.485
.422 ·346 .2460
·950
.615
·565
·508
.441
·360
.598
·537
.466
.385
. 273 0
.629
.547
·448
.,18 0
·975
1.000
.2~
a
0
.258 0
IIATIOIl4.L ADVISORY
COIIIIITTEB POR AERONAUTICS
·350
14
NACA RB No. ' L5F15a
d( CCdo )/Bo - Hl
TABLE I. - VALUES OP
d 1 He _ Po
POR EVALUATION
OF PROFILE DRAG PROII WAlJI SURVEY - Cont1nuocl
~
He -
Be Be -
HI
Po
-0 . 100 -0 .075 -0 .050 -0 .025
0
0.025 0.050 0 .075 0.100 0.125 0.150 0.175 0.200
Po
0 .824 0.818 0. 813 0 .807 0.800 0.794 0 .787 0·780 0·772 0.765 0·757
0 .835
0. 830
.025
.833
.828
.822
.816
.811
.805
·798
.791
·784
·776
.768
·760
·752
.050
.831
.826
.819
.814
.809
.802
·795
·788
·780
·772
.764
·755
.747
·075
.100
.829
.824
.818
.812
.806
.800
.793
·785
.777
·768
.759
·750
·742
.827
.821
.816
.809
.804
.797
.789
·781
.773
·764
.755
.746
·137
.125
.826
.819
.814
.807
.801
·793
·186
·777
.769
·761
·751
.742
·132
. 150
.825
.818
.812
.805
.798
·791
·77 5
.765
·757
·748
.823
.816
.809
.802
·795
·788
·771
.761
·752
.743
·737
.732
.726
.175
·164
.780
.200
.821
.814
.807
·799
.192
.784
·775
.766
·156
.746
.736
.725
.114
.225
.819
.812
.804
.795
·788
·779
·770
·760
·751
·740
.729
· 718
.707
0
.720
.250
.816
.8 10
.802
·793
.784
.775
·1 66
.156
.746
.134
. 699
. 814
.807
·798
·789
.780
·770
·761
.750
.740
.721
.72'
.116
.712
.275
.704
.691
·300
.812
.804
.195
·786
·776
.767
.756
.145
.734
·721
.708
.696
.68,
.325
.810
.800
.791
·782
.751
.139
·127
.714
.101
.688
. 674
.807
·798
.188
·777
·771
.766
.762
·350
·757
·746
·120
.679
. 665
.804
·794
.18,
·761
.751
·739
·713
.685
.670
.654
.800
.778
·773
.768
·107
.699
. 693
·375
.400
·7"
·726
.156
·744
·732
·719
.676
.660
.76,
·750
·738
.125
·111
·705
.696
.691
.774
.682
. 666
.649
.643
.6,1
.425
·797
·790
.786
.450
·793
·781
·769
.7 58
·744
·731
·718
·703
. 687
.671
. 655
.6H
.619
·415
.789
.776
.764
·751
·737
.72,
.709
.693
. 678
.661
.643
.624
.604
·500
.785
·77 1
·758
.744
·730
·715
·700
.683
.667
.649
.630
. 610
·589
·525
·780
.766
·752
·738
·723
·707
.690
.613
.656
.636
.616
.595
·573
. 550
.774
.160
·745
·130
.715
·698
.681
.662
.64,
.622
.601
· 578
.556
·575
.600
.769
.754
.138
·723
·1 06
.689
. 610
.650
. 630
.607
·586
.560
·536
.763
.747
. 697
.678
.659
.638
.615
·592
.568
. 543
·515
·756
.741
·131
.72,
· 714
. 625
·705
.686
.667
. 646
.624 .600 ·575 ·549 ·519 .490
.650
.750
·733
.714
.695
.675
.654
. 632
.609
. 584
.556
· 527
.495
.641
. 617
·591
. 564
.534
. 504
.466
.429
.626
.600
.542 ·508 .475 .4'7
·390
· 518
.482
.490
.450
.461
.675
.743
.724
.705
. 684
. 663
·700
.734
.714
. 695
. 672
.650
.725
·725
·705
. 68,
.660
.635
. 609
·582
·513
.55 2
·750
.716
.694
.671
.647
. 620
·591
. 560
·527
·775
.800
·107
.696
. 683
.658
.630
.602
·571
·537
·501
.4~9
·412
·359
·29' .209
. 671
. 643
.613
. 582
·541
·509
.468
.420
.367
·300
.21, 0
.825
.685
.656
.626
· 594
·560
·521
·478
.430
. 218 0
.672
.641
.607
·571
·533
.489
.441
·363
·375
.315
.309
.850
. 223 0
.875
.658
.624
·585
·546
·501
.452
·391
·323
. 2300
·900
.603
·561
· 515
.465
.407
·332
.231 0
·925
. 64'
. 628
· 581
·532
.478
.418
.344
.245 0
·950
.609
·557
.499
.435
.358
. 256 0
·975
1.000
·591
·532
.465
·374
.272 0
.627
.547
.448
.319 0
·44'
.405
•
.397
.344
·351
. 287
I
NATIONAL ADVISORY
CallIITTBH POR ABR01l411l'ICS
i5
NACA RB No. L5F15a
TABLE 1. - VALUES OP
d( cCdo ;
-dy
Ho - Hl
--
Bo -
Po
FOR BVllUJ.TlON
OP PROPILK IlRJ.() PROII WJJa! SURVEY - Cont1nued
116 = 0.8
~
Bo -
110 110 -
Hl
Po
-O.WO
-0.075 -0.050 -0.025
0
0.025 0.050 0.075 0.100 0.125 0.150 0.175 0.200
Po
0
0 .772 0·767 0.763 0· 758 0·753 0.748 0.743 0·7H 0.731 0·725
0 .781
0·778
0 ·775
.025
.780
·777
.774
·770
.765
.761
·757
.752
.746
.740
·734
.050
.780
·777
.773
.769
.764
.760
·755
.749
·74}
·737
·730
·727
·72}
·717
·721
·075
·779
·775
.771
·767
.762
·757
.752
·746
·740
.718
·713
.778
.774
·770
.7 65
·761
.755
.749
.743
·138
·733
.13 0
·726
.lOO
.723
.715
.709
.~25
·777
·773
.769
.764
·759
·753
.747
.741
·735
·727
·719
·711
·703
.150
.776
·77 2
.767
. 762
.756
·751
·744
·737
·731
.723
.715
.707
.699
.175
.775
.770
.765
.760
.754
.747
.741
·135
.728
.720
·711
.702
.693
.200
.774
.7 69
.763
·758
.752
·745
·738
·731
·723
·716
.706
.697
.688
.225
.773
.767
.162
.756
·749
.743
·735
.728
·719
·711
·702
.692
.681
.250
·772
.766
·760
·753
.747
.739
·731
.124
.715
.706
.697
.686
.675
·275
·770
.764
·757
·750
.744
·735
·727
.718
·7 10
·700
.691
.680
.667
. }OO
.768
.762
.755
·748
.741
·7H
.724
.715
.705
.694
.685
.673
.661
·325
. 766
.760
.753
.746
.138
·729
.720
·7 10
·700
.689
.tl8
.666
.652
·350
.7 65
·757
·750
·742
·733
·724
·714
·704
.694
.683
.670
.658
.644
·375
. 763
·755
.747
·138
·728
·719
·709
.699
.687
.675
.662
.649
.635
.400
·7 60
.752
.744
·735
.725
.714
·703
·694
.681
.667
.654
.640
.625
·425
.758
.749
·740
·730
·720
·709
.697
.681
.674
.660
.645
.631
.615
.450
.755
.746
.736
·725
·715
·703
.691
.679
.665
.651
.636
.620
.602
.475
.752
·742
·731
·721
.709
.698
.685
.671
. 657
.641
.625
.608
·590
· 500
.749
·73 9
.727
.716
.704
.692
.677
.663
.647
.631
.61'
.59~
·576
.525
.745
.734
.722
·712
· 698
.684
.669
.653
. 637
.619
.600
.581
·561
·550
.741
·729
·717
·705
.691
. 675
.660
·64,
.626
.607 ·587
·567
.544
· 575
. 600
·737
.724
·711
. 698
. 683
.667
.650
.633
.614
·59'
·572
.549
·525
.733
.718
.704
.690
.675
.658
.639
.621
.601
·579
.556
·531
.504
.625
·727
·713
.697
.650
.722
.706
.675
.716
.699
·700
·710
.691
.681
. 665
.690
·648 .628 .608 · 585 ·562 ·537 ·509 .481
. 67-3 . 655 .636 .615 ·59' .569 .544 .516 .486 .454
.682
.664
.645
. 623
.601
.576
.552
.,il2.
.491
.458
.673
. 655
.633
.611
.585
.559
· 531
·498
.464
.428 ·385
·509
.482
.413
.435
·392
.341
·442
·399
·347
.286
.208
.725
·703
.684
.663
.643
.620
· 595
.568
.~
·750
. 695
.675
.653
. 630
.605
· 578
·549
·517
.775
.687
.665
.642
.617
.589
.560
·526
.490
.451
.406
.}54
.292
. 600
. 57 0
. 537
·500
.460
.414
.361
.298
.212 0
.424 ·369 ·305 .217 0
.800
.677
.654
. 627
.825
.~67
.642
. 613
·582
·549
·512
.470
.850
.656
.627
.595
· 561
.524
.481
.433
·377
.312
.87 5
.644
.610
.538
·494
.447
. 388
.320
.228 0
· 900
.631
·592
·57 6
.55 2
·509
·458
.401
·330
·925
.615
·571
·525
.476
·415
.342
.244
·950
.601
·548
.492
.429
· 355
.255 0
·915
·587
·529
·462
1.000
.625
.546
·449
·375 .271 0
.320 0
.2il2.
.421
0
.235 0
0
RJ.TlOKJ.L ADVISORY
COIIIIITTU FOR J.lIIIOUUTICS
16
NACA RB No. L5F15a
TABLE 1. - VALUES OF
dCCCdol/ 1io - H1
-- --
Ho -
d1
Po
FOR IVALUATI OB
OF PROPILlI DRAG PROII IUD SURVxr - COnti nued
~
Ho-p"
110 110 -
HI
-0.100 -0.075 -0 . 050 -0.025
0
0.025 0 . 050 0.07 5 0. 100 0.125 0. 150 0 . 175 0.200
Po
0 .722 0 .720 0 ·717 0.715 0 ·712 0 ·707 0·705 0·700 0 .697 0.690
·721 ·719 .716 .713 ·710 ·706 ·703 . 698 ·694 .688
0.725
0·724
0.723
.025
.726
.724
· 7~
·050
.127
·724
.1 2,
.120
·118
·115
·112
.108
·1 05
·101
.696
.691
·075
.100
.726
.724
.723
.720
.717
.714
.711
·707
.704
.698
. 694
.688
.682
.726
.72,
721
·719
·716
·71,
·709
·705
· 7 01
.696
.691
.685
.678
0
. 685
. 125
·725
.72'
.121
·719
·715
.712
.708
.70,
.699
.69'
.688
.682
.675
1150
.725
.722
.720
.718
·715
·710
.706
·700
. 694
.689
·684
.678
.671
.175
·I 25
.722
.720
·718
.714
·709
.704
.698
· 692
.686
.680
.613
.667
.200
.724
.722
·719
.716
·712
.707
.702
.695
. 689
.68, .67 6 .669 .662
. 225
.724
.722
·719
·715
·710
·705
.700
.69'
.687
.680
.6B
.665
.250
·72,
·720
·717
·712
·7OS
·702
. 697
.691
.684
.677
. 669
.660
.651
·275
.72,
·720
.716
·711
·705
.700
.687
.680
.672
.66,
.654
.645
.,00
·722
.719
.714
·709
·70,
. 697
.69'
. 690
.68,
.676
.667
.658
.648 .6'9
.':Z5
.721
.718
.714
.7OS
.700
. 696
. 688
.680
.672
.6~2
.652
.b42 .6,2
.'50
.720
.716
·712
·706
. 698
. 69'
.685
.676
.667
.657
.646
·'75
.400
·719
.714
.709
·702
.695
. 688
. 681
.672
. 662
.651
.640
.6'5
.628
.718
·712
·706
.699
. 691
.684
.67 5
.666
. 655
.644 .6B
. 680
. 670
. 660
.674
. 665
.65'
.64.9 .6'7
.642 .629 .616 .602 ·588
.625
.620
.611
.657
.624
.616
.606
.596
.425
.716
·710
.704
. 696
.688
.450
.715
. , OS
·701
.684
. 680
.669
.659
.647
. 60'
.591
.574
. 664
.65'
·640
.6'5
.626
.620
. 675
.611
·59 5
·579
.561
.658
.646
.633
.617
.601
.585
.567
·547
.475
·71'
.706
. 698
.69'
. 690
· 500
·711
·70,
.695
. 686
.525
.7OS
. 699
. 690
.680
.670
·550
.705
. 696
·687
. 676
.664 . 652 . 638 .624 .607 ·591 .573 ·55' ·5,1
.575
·702
. 671
.658
.644 . 629
.61'
.596
.578
.558
. 699
. 69'
. 688
.682
.600
. 677
. 665
.651
. 6'7
. 620
.60,
·584
.56,
.542
·5'7
.518
. 625
.695
. 684
. 672
.658
. 64'
. 628
. 610
.590
·570
·548
·525
·500
.472
. 650
.691
.679
. 665
.651
.618
. 598
.577
· 555
·5,1
.505
.476
.445
. 675
. 686
. 674
. 659
. 64,
. 6'5
.625
.607
·585
·562
·5,8
·510
.482
.450
.415
·700
. 682
. 667
.651
. 634
.615
. 594
.571
·546
· 518
.488
.456
.420
·H8
.64'
.6,4
. 62'
. 60,
. 580
· 555
·529
.49 6
.465
.426
.,85
.340
.612
· 590
· 565
·m
.507
.472
.'91
.,45
.28,
. 62'
·599
·575
. 546
.516
.482
.444
·4'5
.400
.289
.205
.610
·586
·557
·527
.454
.409
·5'7
· 502
.49'
.46,
·'50
.295
.418
.,65
.725
. 675
.660
.750
.670
·775
.800
.662
. 65'
. 644
. 655
·'57
.,02
.825
.647
. 6'5
. 624
·596
·568
.8 50
. 6,8
. 611
.580
.875
.627
· 596
·564
.548 ·51' .475 ·428 .H4 ·' 09 .2200
·525 .487 .438 ·, 84 .316 .225 0
·900
.616
· 581
·541
.499
.451
.'95
·925
.95 0
. 605
· 56,
·517
·467
.411
·591
.542
.488
.427
·975
1.000
. 578
· 52'
.459
·37'
.'5'
.272 0
· B7 .242 0
.254 0
.62'
. 545
.449
.,21 0
. ,25
.210 0
.215 0
.2,2 0
NATI ONAL ADVISORY
COIIIII TTU FOR UROHAtlTICS
·514
.494
-I
17
NACA RB No. L5F15a
TABLE 1. - VA LUES OF
d(CC<IoYa.,
- H1
__
-
d1
FOR EVALUATION
H,,-Po
OF PROFILE DIIAO PROII WAKE SURVEY - Concluded
~
H" -
110 H" -
Po
-0.100 -0·075 -0.050 - 0 .025
HI
0.025 0.050 0·075 0.100 O. 25 0.150 0.175 0.200
0.6n 0.672 0.671 0.669 o. 6 67 0.665 0.662 0.659
Po
0.669
0.672
0.6n
0.674
Io·m
.025
.670
.672
.6n
.674
.6n
.6n
. 672
.670
.668
66
.663
.660
.658
.050
.671
.673
. 673
.674
. 67}
.673
.671
.669
.667
6 65
.662
.659
.655
.075
.671
. 672
.672
.672
.67 2
.672
.670
.668
.666
63
.660
.6 ~6
.652
. 100
.672
.673
.67 2
.67 2
.672
.671
.670
.668
. 665
662
.658
.655
.649
.125
.674
.674
.67,
.672
.671
.669
.668
.666
.663
660
.655
.652
.646
.67 2
.671
.668
.666
.664
.661
6 57
.653
·649
.643
0
.150
.674
.674
.673
.175
.200
.675
.674
.673
.672
.670
.668
.665
.662
.659
55
.650
·644
.6}8
.675
. 673
673
.672
.670
.667
.664
.660
.656
51
.646
.641
.635
.225
.675
.674
.674
.672
.669
.667
.664
.659
.654
648
.643
.637
.630
.250
.675
.6n
.6n
.670
. 668
. 665
.662
.657
.652
64 6
.640
.633
.626
·275
.675
.6n
.672
.67 0
.666
.663
. 659
.654
649
643
.636
.628
·300
.675
.673
.672
.669
.665
.661
.656
.651
.646
.
1
. 325
.675
.6n
.670
.667
.663
.659
.654
·648 .642
35
·350
.675
.6n
.670
.666
.662
.657
.652
. 645
.638
630
.621
.612
.602
.654
.649
625
.616
.606
.595
39
631 .623
1
.
.627 .618
.
'" I
.615
.609
·375
.400
.675
.672
.669
.665
.660
·642
.634
.674
.670
.666
.662
.657
.651
.645
.637
.629
6 20
.610
·599
.425
.674
.670
.665
.660
.655
.61;8
.64l
.633
.624
614
.603
·592
·587
,579
.450
.6n
.669
.664
.658
.652
.644
. 636
.627
.618
608
.596
.585
.569
.475
.672
.666
.662
.655
.648 .640 .632 .621 .612
601
·588
·575
·558
· 500
.671
.665
.659
.652
. 645
.635
.626
.616
92
·578
·563
.547
·525
.669
.662
.656
.648
.640
.630
. 620
.609
. 60 5/
·597,
83
·567
.551
·534
·550
.667
.660
.654
.645
.636
.624
.613
.601
·589
.5 56
·538
·519
·575
.600
.665
,657
.650
.64Q
.631
.619
,606
·593
.543
·523
·50"
.664
.655
.646
. 636
.625
.613
·599
·584
·579
. 568
n
562
549
.28
507
484
.625
.661
.652
.643
.630
.620
.605
·589
·573
·555
535
·512
.488
. 61
.650
.658
.648
.637
.625
.613
· 597
·579
·560
.4931 .467
·435
.655
.645 ,
.619 •. 605
·587
.567
·547
500
.471
·440
405
·700
.652
.640 I
.6"
.626
·542
.526'
520
.675
.611
·595
.576
.554
·531
. 508
477
.447
·411
·}70
·725
·648
.644
.620
.603
·585
·563
·540
·515
.487
454
.41j!
·377
·330
.612
·5n
·560
·550
·522
·495
.4621
427
.3851 .337
.280
.436:
394' ·346: .2861 .204
.635 1
.638
.628 \
.621
,602
·593
·582
·535
·503
·47
.633
.614
.59 2
.569
·544
·517
.481
·44~
.825
.625
.604
·579
·553
.493
.455
·41
.36
.850
.618
,m
.466
.422
·37C
.30
.875
.609
.593 1 ·565
.581
.549
·525
,502
.479
.43 2
·379
·31
. 22
·900
.600
.5 671
·443
.407
.390: ·325
.23
·750
·775
.800
,
0
·925
·950
·975
1.000
I
·590
.<;80
·529
.50~
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.
1 .479
·533
'51~1
.57:1
.619
.544
·515
.49 0
.457
.336
.455
.420 1 ,352 .253 0
.372 .270 0
.450
,322i 0
~l
~53
.292
298
.213 0
I
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NATIONAL ADVISORY
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NACA RB No. L5F15a
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