# DESIGNING NEW AEROFOILS

A mathematical method of working out new ordinates, starting from a chosen camber line and a symmetrical thickness form, is given in the standard text, Theory of Wing Sections by Abbott and Von Doenhoff. Although not a quick procedure, the calculations required are not difficult Failing this method, a modeller may devise his own wing sections by the graphical method outlined in Fig. A 8. The camber line is plotted first then at each station a circle is drawn, the radius being taken from the ordinates for the thickness form, and the centre being on the camber line at the appropriate point Finally a smooth curve is drawn tangentially to aU the circles and the nose radius to produce the aerofoil.

WORKING OUT THE CAMBER

Many aerofoil designations contain information about camber and thickness. The NACA systems are described in Chapter 7, with further information in Abbott and Von

Doenhoff as above. The Benedek Aerofoils give the camber, in percent of chord in the last digit, thus В 10355 is cambered 5 percent, 8356, 6 percent and so on. The first figure gives the profile thickness, the central figure or figures the position of the maximum thickness point, hence Benedek В 12355 is 12% thick at 35%, and cambered 5%.

In other cases it is sometimes possible to work out the maximum camber arithmetically. This is applicable only where the aerofoil ordinates are based on a chord • line running through the leading edge and trailing edge. In these cases, by finding the thickness of the profile at a number of stations and subtracting half this figure, at each place, from the upper surface ordinate, the approximate ordinate for the camber line is found and the maximum value then easily discovered. Note that in finding the profile thickness in this way, minus signs below the chord line must be allowed for. This method of halving the thickness will not produce accurate ordinates for the aerofoil camber line, especially near the nose and trailing edge, but it will produce a correct figure for the maximum camber and its location.

The camber of other aerofoils, plotted on tangential chord lines or on other arbitrary reference lines, may be estimated by measuring from the plotted profile. The true chord line, nose to trailing edge, must first be drawn in, then the half thickness plotted as accurately as possible, and the camber measured.

More accurate estimates of camber from the ordinates may – be carried out by somewhat more complex arithmetic, but this is seldom necessary.

Fig. A8 Fig. A8

 i take ordinates of desired camber line, and plot. ii take radii ot circles from desired thickness and draw on arc as shown. Hi draw smooth curved lines tangential to circles. INDEX OF AEROFOILS

Mean lines, low drag bodies and symmetrical profiles are grouped at the beginning of this section. The N. A. C. A. ‘6’ thickness forms are arranged in order of increasing laminar flow (min. pressure point at 30, 40, 50% chord etc), and in increasing thickness (6, 9, 10, 12, 15, 18% etc.) In the section devoted to cambered profiles, the N. A. C. A. 6 series aerofoils are arranged in order of increasing thickness (9 to 18%), then by increasing camber (shown by the third figure from the right which indicates the ‘ideal’ ci in tenths -.2, .3, .4, .6 etc), and then by increasing proportion of laminar flow (given by the second digit from the left, 30%, 40%, 50% etc.) The various letters and other additions indicate minor modifications to the profiles (e. g., A =0.5 indicates the use of A = 0.5 mean line instead of the usual A = 1).

MEAN LINES

 Reflex for zero pitching moment, каі« to reqd camber NACA 210. CL Ideal 0.3 NACA A • 0.0 NACA A-0.5 NACA A-0.9 NACA A – 1.0 Chord Upper Chord Upper Chord Upper Chord Upper Chord Upper Chord Upper Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface XU vu XU VU XU YU XU vu XU vu XU YU .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 000 5.000 3.240 1050 S96 .500 480 500 .345 .500 .289 .500 .250 10.000 5.770 2.500 .928 .750 .841 .750 .485 .750 979 .750 .350 15.000 7.850 5.000 1.114 1.250 .964 1.250 .735 1.250 .577 1.250 .535 20.000 8.940 7.500 1.087 2.500 1.641 2.500 1.295 2.500 1.008 2.500 .930 25.000 9.700 10.000 1.058 5.000 2.693 5000 2.205 5 000 1.720 5.000 1.580 30.000 9S90 15000 899 7.500 3.507 7.500 2.970 7.500 2.318 7.500 2.120 35.000 9080 20.000 840 10.000 4.161 10.000 3.830 10.000 2835 10.000 2.585 40.000 9.4Э0 25.000 881 15.000 5.124 15.000 4.740 15.000 3.707 15.000 3.385 45.000 8.700 30.000 .823 20.000 5.747 20800 5920 20.000 4.410 20.000 3.980 60.000 7.780 40.000 .705 25.000 8.114 25800 6910 25.000 4.980 25.000 4.475 55.000 8.880 50.000 .588 30.000 8877 30.000 8840 30.000 5.435 30.000 4860 50.000 5.480 80.000 .470 35.000 6.273 35.000 7915 35.000 5.787 35.000 5.150 55.000 4040 70.000 .353 40.000 6.130 40.000 7.430 40.000 6.045 40.000 5.355 70.000 3.040 80.000 .235 45.000 5971 45.000 7.490 45.000 6.212 45.000 5.475 75.000 1040 90.000 .118 50.000 5.516 50.000 7950 50.000 6.290 50.000 80.000 090 •95.000 .059 56.000 5.081 55.000 8865 55.000 6.279 85.000 060 100.000 .000 60.000 4.581 60.000 8.405 60.000 6.178 60.000 90.000 -.190 85.000 4.032 65.000 5.725 85.000 5.981 85.000 5.150 95.000 -.300 70.000 4.955 70.000 5.681 70.000 100.000 .000 75.000 2836 75.000 4.130 75.000 5.265 75.000 4.475 80.000 3.285 80.000 4.714 80.000 3.980 85.000 2995 85.000 3.987 85.000 3.365 90.000 90.000 1.535 90.000 2.984 90.000 2.585 95.000 .467 95.000 .720 95.000 1.503 95.000 1.580 .000 100.000 .000 100800 .000 100.000 .000

 REFLEX MEAN LINE FOR ZERO PITCHING MOMENT SCALE TO REQUIRED CAMBER

NACA 210 MEAN LINE CL IDEAL 0.3

NACA A ** 0.0 MEAN LINE

 NACA A – 0.6 MEAN LINE

0.9 MEAN LINE

 NACA A – 1.0 MEAN LINE

1.10 Percent

0.89 Percent

 Chord Upper Chord Lower Station Surface Station Surface XU vu XL YL .000 .000 .000 .000 .500 .749 .500 -.749 .750 .906 .750 -.906 1.350 U151 1.350 -1.151 3.500 1.583 3.500 -1.583 5.000 3.196 5.000 -3.198 7.500 3.655 7.500 -3.655 10.000 3.034 10.000 -3.034 15.000 3.591 15.000 -3.591 30.000 3.997 30.000 -3.997 30.000 4.443 30.000 -4.443 40.000 4.447 40.000 -4.447 50.000 4.056 50.000 -4.056 60.000 3.358 60.000 -3.358 70.000 3.458 70.000 -3.458 80.000 1.471 80.000 -1.471 90.000 .550 90.000 -.550 95.000 .196 95.000 -.196 100.000 .000 100.000 .000

 Chord Upper Chord Lower Station Surface Station Surface XU YU XL YL .000 .000 .000 .000 .050 .160 .050 -.160 .100 .340 .100 -.240 .300 .350 .300 -.350 .400 .500 .400 -.500 .500 .503 .500 -.503 .750 .609 .750 -.609 1350 .771 1.250 -.771 3.500 1.057 2.500 -1.057 5.000 1.463 5.000 -1.462 7.500 1.766 7.500 -1.766 10.000 3.010 10.000 -2.010 15.000 3.386 15.000 -2386 30.000 3.656 20.000 -2.656 30.000 3.954 30.000 -2.954 40.000 2.971 40.000 -2.971 50.000 2.723 60.000 -2.723 60.000 2.267 60.000 -2.267 70.000 1.670 70.000 -1.670 80.000 1.008 80.000 -1.008 90.000 .383 90.000 -.383 95.000 .138 95.000 -.138 100.000 .000 100.000 .000

 Chord Upper Chord Lower Station Surface Station Surface XU YU X ■< r .000 .000 .000 .000 300 .620 300 -.620 .400 .910 .400 -.910 .600 1.130 .600′ -1.120 900 1.350 .800 -1.250 1350 1.578 1.350 -1.578 2.500 2.178 2.500 -2.178 5.000 2.962 5.000 -3.962 7.500 3.500 7.500 -3.SOO 10.000 3.902 10.000 -3.902 15.000 4.455 15.000 -4.455 20.000 4.782 30.000 -4.782 25.000 4.952 35.000 -4.953 30.000 5.002 30.000 -5.003 40.000 4337 40.000 -4337 50.000 4.412 50.000 -4.412 60.000 3303 60.000 -3303 70.000 3.053 70.000 -3.053 80.000 2.187 80.000 -2.187 90.000 1.207 90.000 -1.207 95.000 .672 95.000 -.672 100.000 .105 100.000 -.105

 Chord Upoer Chord Lower Stanon! Surface Station Surface XU YU XL YL .000 .000 000 000 .200 490 .700 – 490 .400 .870 400 – 870 .600 1 010 .600 ■1 0Ю .800 1.170 BOO -1 170 1 250 1.420 1.750 -1 470 3.500 1.961 2500 -1 961 s. ooo 3666 5.000 -7666 7.500 3.150 7 500 -3 150 10.000 3512 10.000 – 3517 15.000 4.009 15.000 -4.009 20.000 4.303 30.000 -4 303 25.000 4.456 25.000 -4.456 30.000 4.501 30.000 -4.501 40.000 4.352 40000 -4 357 50.000 3.971 50.000 -3.971 60.000 3.423 60.000 -3.473 70.000 2.748 70.000 – 2.748 80.000 1.967 80.000 -1.967 90.000 1.086 90.000 -1.086 95.000 .605 95.000 -.605 100.000 .095 100.000 -.095

NACA 63 009

XL YL.000 .000 M0 – IMS.7» -1.837

1.350 -3.537

3.500 -3.577

5.0 -5.0S5

7.600 -5.183

10.0 -7880

15.0 -8.441

30.0 -9410

30.0 -10413

40.0 -10.398

50.0 -9JOS

80.0 -7441

70.0 -5390

80800 -3.064

90.0 -1.113

95.0 -.392

100.000 .000

NACA 64 0Ю LE RADIUS 0.720 PERCENT

NACA 64 000 LE RA0IUS 0.576 PERCENT

 NACA 65 A 006 NACA 65 006 NACA 64 2 016 L. E. rebut 1.590 Percent NACA 64 1012 Chord Upper Chord Lower Chord Upper Chord Lower Chord Upper Chord Lower Chord Upper Chord Lower Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface XU YU XL YL XU YU XL YL XU YU XL YL XU YU XL YL 800 .000 .000 .000 800 .000 .000 .000 800 800 800 .000 .000 .000 800 800 .500 .615 800 -815 800 .476 .500 -.476 800 1808 800 -1808 800 878 800 -878 .750 .746 .750 -.746 .750 874 .750 -.574 .750 1.456 .750 -1/456 750 1.179 .750 -1.179 1.260 851 1850 -851 I860 .717 1850 -.717 I860 1842 1850 -1842 I860 1.490 I860 -1.490 2800 1.303 2800 -1803 2800 .956 2800 -856 2800 2828 2800 -2828 2800 2.035 2800 -2835 5.000 1.749 5.000 -1.749 5.000 1.310 5.000 -1810 5800 3804 5800 -3.604 6.000 2810 5800 -2810 7800 2.120 7.500 -2.120 7800 1869 7800 -1.589 7800 4840 7800 -4840 7800 3894 7800 -3894 10.000 2.432 10.000 -2.432 10800 1824 10.000 -1824 10.000 4842 10.000 -4842 10800 3871 10800 -3871 15.000 2826 16800 -2826 15.000 2.197 16800 -2.197 15800 5.786 15800 -6.785 15800 4820 15.000 -4820 20800 3.301 20.000 -3.301 20.000 2.482 20.000 -2.482 20800 6.480 20.000 -6.480 20800 6.173 20800 -5.173 30800 3.791 30.000 -3.791 30800 2852 30.000 -2852 30800 7819 30800 -7819 30.000 5844 30800 -5844 40.000 3895 40800 -3.995 40.000 2888 40800 -2888 40800 7.473 40.000 -7.473 40800 5881 40800 -5881 50.000 3895 60.000 -3895 50800 2800 50.000 .-2800 50800 6810 50800 -6810 50.000 5.480 50800 -5.480 60800 3.456 60800 -3.456 60800 2818 60.000 -2818 60800 6820 60800 -8820 60800 4848 60.000 -4.548 70.000 2.763 70.000 -2.763 70800 1835 70.000 -1835 70.000 4.113 70800 -4.113 70800 3850 70.000 -3860 80.000 1898 80.000 -1898 80800 1833 80800 -1833 80800 2.472 80.000 -2.472 80800 2.029 80800 -2.009 90.000 860 90.000 -860 90800 810 90800 -810 90.000 850 90800 -.950 90800 .786 90800 -.785 95.000 .489 96800 -.489 95.000 .195 95800 -.195 95800 846 95800 -845 95800 286 95.000 -886 100.000 818 100800 -.018 100.000 800 100.000 .000 2 100.000 93 800 100.000 800 > 100.000 800 100800 800
 NACA 65 3 018 L. E. radtu*

 XL YL.000 .000 600 – 765 .750 *628 1650 -1.163 2600 -1.673 5.000 -2.182 7600 -2.650 10.0 -3.040 15.0 -3658 20.0 -4.127 30.0 -4.742 40.0 -4.995 50.0 -4663 60.0 -4604 70600 -3.432 80.0 -2.332 90.0 -1.188 95.0 – 604 100.000 -.021

Wortmenn FX LIIM42/K 25
For 25 percent flep

CLARK Y

Gottingen 548
(1930 to 1950 period)

Gottingen 804 (Eppler EA 8 (-11
-12 06) L. E. radius.5 camber 0.67
at SO

 Chord Upper Chord Lamar Chard Upper Chord Lower Station Surface Station Surface Station Surface Station Surface XU YU XL YL XU YU XL YL .000 OOO .000 .000 .000 OOO OOO OOO .000 050 .200 *.430 OOO 1000 000 – ooo 200 1050 .400 -000 .400 1060 OOO -.770 MO 2000 .600 ‘040 OOO .1800 OOO ‘050 Я00 2.270 OOO ‘060 OOO 0060 OOO ‘1.120 1250 1730 1050 -1030 1050 2.440 1060 -1.430 2.S00 3000 2000 ‘1040 2000 3.390 2000 -1060 SJOOO 6060 5000 -1.990 5.000 4.730 6.000 -2.490 7900 6.570 7000 ‘2050 7000 5.780 7000 ‘2.740 10900 7080 10.000 ‘1090 10.000 8090 10000 -2060 15.000 9.180 15.000 ‘1070 15000 7080 15000 -2080 20.000 10040 20000 -1060 20000 8000 20.000 ‘2.740 »j000 11.140 25000 -.780 25000 9010 25000 ‘2000 30.000 11050 30000 -080 30000 9.780 30000 -2060 40900 IIOOO 40000 OOO 40000 9000 40.000 -1000 50000 11.180 50000 050 80000 9.190 50000 ‘1.400 60Л00 9050 60000 .780 80000 9.140 60.000 -1.000 70.000 8030 70000 050 70.000 6080 70000 -050 80000 6030 80000 .730 80000 4080 80000 – 090 90.000 Э. ЗЭ0 90.000 .390 90.000 2.710 90000 *230 95.000 1.790 95.000 .180 95000 1.470 95000 -130 100000 .120 100000 -.120 100.000 .130 100.000 -.180

 Chord Upper Chord Lower Chord Upper Chord Lower Station Surface Station Surface Station Surface Station Surface XU YU XL YL XU YU XL YL OOO OOO OOO.000 .000 OOO .000 .000 OOO 020 OOO ‘.610 1008 1094 1.402 -1.448 .400 1.280 OOO ‘OOO 2.297 2.411 2.703 -1027 OOO 1010 OOO ‘1.100 4.742 3.420 5058 -2.462 OOO 1.730 OOO ‘1091 7317 4.168 7.783 -2009 1.260 2.150 1050 -1060 9.710 4.786 10090 -3.016 2.600 2080 2000 ‘2070 14.722 5065 15078 -3.227 5000 4.130 5.000 -3.010 19.781 6076 20039 -3076 7000 4080 7000 ‘3.480 24014 6.668 25.166 -3.230 10000 6030 10.000 -3.750 29076 6075 30.125 -3.125 15000 6010 15000 -4.100 40000 6037 40.000 -2037 20.000 7060 20.000 ‘4030 50.049 6.356 49051 -2.468 25.000 7070 25.000 -4.220 60.005 5.580 59015 -2.024 30000 7080 30.000 -4.120 79.W2 4.551 89098 ‘1.551 40.000 7000 40000 ‘3000 80087 3.296 79003 -1 074 60000 7040 50000 -3040 90087 1016 89033 -.594 60000 6080 80000 ‘2.780 95.041 090 94059 -.352 70.000 5.180 70.000 ‘2.140 100000 .105 IOOOOO -.105 80000 3.750 80.000 -1.600 90000 2.080 90000 -020 95000 1.140 96.000 -.480 100.000 .130 100.000 -.130

NACA 4415 LE RAOIUS 2.49 PERCENT

 NACA 64409 NACA 63*209 NACA 23012 L. E. radius 1.68 percent NACA 4415 L. E. radius 2.48 percent Chord Upper Chord Lesser Chord Upper Chord Lesser Chord Upper Chord Lessor Cherd Upper Chord Lesser Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface XU VU XL YL XU YU XL YL XU YU XL YL XU YU XL YL OOO .000 OOO.000 OOO OOO .000 OOO .000 .000 .000 900 900 .000 .000 .000 077 029 023 ‘029 .437 .798 .583 ‘098 OOO 1.300 900 -.488 .000 940 200 -.550 013 1.021 087 -.741 080 073 020 -033 .400 1680 .400 -.730 .200 1950 .400 -.920 1095 1031 1.405 -003 1.170 1056 1030 -1041 OOO 1920 900 -.910 900 2950 .600 ‘1.180 2022 1095 2078 -1.151 2.408 1.768 2092 -1093 OOO 2.200 900 -1930 900 2950 900 -1.400 4003 2.732 5.197 ‘1.468 4097 20Ю 5.103 -1078 1050 2970 1950 -1930 1.250 3.070 1.250 -1.790 7.297 3.383 7.703 -1087 7094 3077 7008 -2.229 2000 3910 2900 -1.710 2.500 4.170 2.500 -2.480 9.798 3026 10002 -1057 9094 3038 10.106 ‘2006 5000 4910 5900 -2960 5.000 5.740 6.000 -3.270 14010 4.795 15.190 -2.104 14001 4083 16099 -2.917 7000 5800 7900 -2910 7900 6.910 7.500 -3.710 19030 5.458 20.170 -2072 19012 4.792 20088 ‘3000 10000 6930 10900 -2920 10.000 7940 10.000 -3.980 24054 5067 25.146 -2077 24025 5.169 25075 ‘3079 16000 7.190 15900 -3900 16.000 9.270 15.000 -4.180 29082 6.315 30.118 -2.427 29040 5414 30.080 -3.470 20000 7900 20.000 ‘3.970 20.000 10.250 20.000 -4.150 34.912 6038 35.088 ‘2.418 34056 6030 36.044 -3.470 25.000 7900 25.000 -4260 25.000 10920 25900 -3.980 39.942 8.632 40.058 -2048 38071 5.518 40029 -3078 30.000 7950 30900 ‘4.480 30.000 11.250 30.000 -3.7S0 44.972 6.564 45.028 -2.174 44088 5091 «014 -3001 40.000 7.140 40900 -4.480 40.000 11.250 40.000 -3.250 50.000 6042 50.000 -1030 50.000 5.159 60000 ‘2053 50.000 8.410 50900 -4.170 50.000 10.530 50.000 -2.720 60.045 6094 59056 ‘1.310 60.022 4.429 55978 -2.287 80.000 6.470 60.000 -3970 60900 9.300 60900 -2.140 70089 4004 60031 -016 70.033 3.430 88087 -1.486 70.000 4980 70900 -3900 70.000 7.630 70.000 -1950 80088 3.154 79031 -.030 80.032 2087 79068 ‘075 80.000 3980 80900 -2.160 80.000 5.550 80.000 -1.030 90.043 1044 89079 .424 90019 1067 88.981 ‘.033 90.000 1980 90.000 -1930 90.000 3.000 90.000 -.570 95.021 058 94.979 .406 95008 .612 94.991 .120 95.000 920 95.000 -.700 95.000 1970 95.000 -.360 100.000 .000 100.000 .000 IOOOOO .000 IOOOOO .000 100.000 .130 100.000 -.130 100.000 .160 100.000 -.160

 Chord Upper Chord Lower Chord Upper Chord Lower Chord Tppar Chord 14МЄГ Chord Upper Chord Lower Station Surface Station Surface Station Surface Station Surface Station Surface Station urface Station Surface Station Surface XU YU XL YL XU YU XL YL XU YU XL YL XU YU XL YL .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 400 400 .000 450 402 450 -478 499 473 401 -.723 .424 466 470 -.744 .423 468 477 -756 М2 1.112 418 -.796 .638 1.068 462 -458 4S5 1444 .035 -488 464 1.058 436 -.900 1.0S9 1.451 1.441 -409 1.123 1.379 1.377 -1.067 1.153 1442 1447 -1.100 1.151 1487 1449 -1.125 2476 2495 2.724 -1451 2.353 1461 2447 -1.403 2457 1455 2413 -1.473 2454 1444 2416 -1422 4.740 3.034 5451 -1492 4437 2.759 5.163 -1447 4474 2465 6.126 -1463 4405 2.769 5.131 -2.047 7.230 3465 7.770 -1419 7432 3.436 7468 -2.164 7469 3455 7.931 -2416 7464 3.400 7453 -2.428 9.737 4490 10463 -1496 9432 3.970 10.168 -2.420 9459 3.792 10.132 -2400 •463 3417 10.137 -2.725 14.748 5466 15452 -2444 14442 4419 15.158 -2409 14474 4482 20.116 -3430 14469 4.729 15.131 -3.157 10.770 6.126 20430 -2.406 19459 6.464 20.141 -3475 19485 5400 10.116 -3440 19482 5428 20.118 -3.469 24,800 6.705 25400 -2.499 24479 6446 25.121 -3462 24400 5456 25.100 -3464 24498 5.764 25.102 -3462 29434 7.13» 30.166 -2437 29.902 6494 30498 -3478 29417 5.994 30.083 -3.688 29.916 6.060 30.064 -3.764 34471 7.414 35.129 -2.518 34427 6413 35473 -3.423 34435 6.192 35405 -3.744 34436 6419 36465 -3.771 39410 7452 40.090 -2.436 39452 6401 40.048 -3489 35455 6474 40.045 -3.718 39456 9447 40.045 -3489 44450 7422 46.050 -2.266 44477 6436 45.023 -3452 44475 6406 46.026 -3.680 44.976 9.151 45425 -3423 40009 7444 50.011 -2424 50.000 6434 50.000 -3.030 45475 6414 50405 -3464 49.994 5443 50.005 -3483 60.067 6424 69443 -1.418 60.039 5427 69461 -2.415 50425 6423 59472 -2.719 90.029 5445 50472 -2.641 70.108 5.490 69492 -.760 70.063 4.584 69437 -1468 70454 4410 •9445 -1.944 70.052 4427 09448 -1461 90.151 3.967 79449 -429 80470 3496 79.930 -.908 50.076 3407 79424 -1.167 90.074 2.974 79426 -1.104 90.104 2438 90496 -.076 90466 1436 89444 -.296 80.062 1.551 85445 -471 90.090 1419 •9460 -439 95.053 1428 94447 -.048 96.038 1414 94482 -485 96427 .795 94474 -405 95.029 .769 94.974 -479 100.000 421 100.000 -.021 100.000 .021 100.000 -.021 100.000 421 100.000 -421 100.000 .021 100.000 -.021 МАСА 63-1-212 г 2 2 о e 1 МАСА 94-A410 ІАЦ>4МОО) Chord Upper Chord Lower Chord Upper Chord Lower Chord Upper Chord Lower Chord Upper Chord Lower Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface XU YU XL YL XU YU XL YL XU YU XL YL XU YU XL YL .000 .000 .000 .000 400 400 400 400 .000 .000 400 .000 400 400 .000 .000 .417 1.032 .583 -432 .435 419 485 -.712 415 477 .795 -427 414 479 .786 -426 JS57 1460 443 -1.120 478 499 422 -459 494 1461 1418 -499 481 1j550 1419 -.666 1.145 1422 1.355 -1.408 1.169 1473 1431 -1469 2472 2.470 2428 -.799 2.084 2.476 2439 -.767 2478 2494 2422 -1412 2.408 1.757 2492 -1485 4420 3405 5.480 -466 4408 3.719 5.494 -432 4453 3438 5.137 -2406 4498 2.491 5.102 -1469 7403 4450 7497 -453 8484 4.703 8419 -411 7458 3463 7442 -3.115 7494 3489 7406 -2421 9403 5.457 10.457 -.434 9.479 6441 10421 -.771 9459 4454 10.141 -3420 9494 3456 10.106 -2421 14430 6414 16.470 -.756 14.500 •402 16400 -456 14488 5.470 15.132 -4.124 14499 4438 16.101 -2492 10479 7433 20.422 -496 16443 7468 20.457 -.526 19482 6.137 20.118 -4445 19409 4438 20491 -3446 24439 6420 25451 -.595 24401 8.795 25499 -483 34400 6.606 25.100 -4416 24421 6497 26479 -3407 29.707 0402 30 493 -.454 29468 9.420 30432 -432 29420 6401 30490 -4457 29436 5.732 30484 -3.788 34.790 9.596 35420 -.328 34.742 9457 35459 -.065 34441 7430 35450 -4470 34451 6454 35.049 -3494 39455 9413 40.145 -.174 38420 10.107 40.190 .123 39482 6491 40438 -4449 39.966 8467 40432 -3425 44430 9422 45470 .034 44.900 10.150 45.100 .354 44482 9.799 45.018 -4409 44494 6488 45418 -3488 50400 9449 60400 400 49477 10405 80.023 437 90.000 6.473 50400 -4467 50.000 5416 50400 -3.709 00.117 9439 50453 401 •0.114 9425 89496 1.187 80429 5.491 59471 -3449 80427 6417 59473 -3476 70.150 7.496 50411 1453 70415 7450 69.795 1410 70443 4.182 69457 -2438 70443 4.128 89457 -2.194 •0405 6475 79.792 1.495 •0400 5419 79.700 1457 80442 2498 79.958 -1.109 90444 2.793 79458 -1.191 50.166 3475 •9435 1477 90404 3.004 89.799 420 90425 1.224 99.975 -.190 90428 1427 89472 -493 •6.112 1451 94488 493 •5.104 1412 •4499 .450 95.012 468 94498 496 95414 422 94496 410 100400 .009 100.000 400 100.000 421 100400 -.021 100400 400 100.000 .000 100.000 400 100400 400
 МАСА 64-А-410

 МАСА 64^910

 МАСА 64^.210

 МАСА вЗА-210

Chord Lower Station Surface

XL VL.000 300

MO -.350 .400 -.410 300 -.560 1.250 -500 2.500 -1500

5.0 -2300

10.0 -3300

20.0 -4.000 30300 -5.000

40.0 -4.900

50.0 -4.500

60.0 -4300 70300 -3.500

80.0 -2300 90300 -1.500

100.000 .000

Sigurd Isaacson 53507 L. E. radius 0.5 percent

Sigurd Isaacson 64009 L. E. radius 0.3 percent

Sigurd Isaacson 73508 L. E. radius 0.4 percent

Sigurd Isaacson 53009 L. E. radius 0.8 percent

 Benedek В669вС L. E. radius Benedek 995668 LE. radios Benedek 984S6F Benedek 8635568 L. E. radius 0Л Percent 0.7 Percent 0.7 Percent Chord Ifooer Chord Lower Chord Upper Chord Lower Chord Upper Chord .ewer Chord Upper Chord Lower Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface XU YU XL YL XU YU XL YL XU YU XL YL XU YU XL YL .000 1.000 .000 1.000 300 1.000 .000 1300 .000 .760 .000 .750 .000 .700 .000 .700 .200 1.450 .200 .590 300 (300 300 300 .200 1310 .200 .320 .200 1.200 .200 320 .400 1.700 .400 .440 .400 1.770 300 360 .400 1300 .400 .160 .400 1.400 .400 .080 jBOO 1.900 .900 .480 .600 1.960 300 300 300 1330 300 .090 300 1300 .700 .000 JBOO 2.100 300 .330 300 2.150 300 .280 300 2.100 300 .030 300 1.800 .800 310 1.250 2.500 1.250 350 1350 2300 1350 300 1.250 2.600 1.250 .000 1.250 2.180 1.250 .030 2.800 3.400 2300 .000 2300 3300 2300 .000 2.500 3.900 2.500 .200 2.500 3.140 2.500 .150 5.000 4.600 5.000 .200 5.000 4.280 5300 360 5.000 4.950 6300 .500 6.000 4.550 6.000 .420 7.800 5.400 7.500 .450 7.500 5300 7300 .400 7300 6.000 7.500 300 7300 5350 7.500 .780 10.000 9.160 10.000 .750 10.000 5.750 10300 .700 10300 6.900 10.000 1.100 10.000 6.530 10.000 1.120 15.000 7.250 15.000 1.300 15,000 6300 15300 1.200 15300 8300 15.000 1.500 16.000 7.780 16000 1.850 30.000 8.000 20.000 1300 20.000 7.700 20.000 1.750 20.000 8.700 20.000 2.200 20.000 8.550 20.000 2.450 25.000 9.550 25.000 2.350 25.000 8300 25300 2.250 25.000 8.950 25.000 2300 25.000 9.000 25.000 2.920 30.000 8.980 30.000 2.700 30.000 8.750 30300 2300 30300 9.000 30300 3.250 30.000 9.150 30.000 3350 40.000 9.400 40300 3360 40300 9.150 40300 3300 40300 8.900 40.000 4.000 40.000 8.990 40.000 3370 80.000 9.300 50.000 3300 50.000 9.100 50300 3.750 50.000 8300 50300 4.500 50.000 8.230 50.000 3350 00.000 8.750 60.000 4.000 60.000 8350 60300 3360 60.000 7.500 50.000 4.500 60.000 7.100 80.000 3.500 70.000 7.950 70.000 3300 70300 7300 76.000 3300 70.000 6.400 70.000 4.050 70.000 3750 70.000 3.000 80.000 5.900 80.000 2350 80.000 6.000 80.000 3.000 80.000 5.060 80300 3.300 80.000 4.080 80.000 2.220 90.000 3.550 90.000 1.500 90.000 3.700 90300 1.750 90.000 3.700 90.000 2.000 90.000 2.230 90.000 1.190 96.000 2.000 95.000 300 98300 2.100 95300 350 95.000 2.600 95300 1.100 100.000 320 100.000 .000 100.000 .400 100.000 .000 100.000 .450 100.000 .000 100.000 .500 100.000 .000 Benedek 993569 L. E. radius Benedek 883068 L. E. radius Benedek 974560 Benedek 87406F 0 A Percent 0.9 Percent Chord Upper Chord Lower Chord Upper Chord Lower Chord Upper Chord Lower Chord Upper Chord Lower Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface Station Surface XU YU XL YL XU YU XL YL XU YU XL YL XU YU XL YL .000 1.110 300 1.110 .000 1.180 .000 1.180 .000 350 .000 350 .000 300 .000 .900 .000 1.400 .200 .MO .200 1.740 .200 300 .200 1350 .200 350 .200 1.500 .200 .420 .200 1.810 .400 Ж .400 2.050 .400 .420 .400 1320 .400 350 .400 1.900 .400 .300 .400 2.070 300 .390 .900 2.310 .600 320 .600 1330 300 .ISO .600 2.200 300 .220 300 2.530 300 .300 300 2350 .800 .270 300 2.080 .800 .030 300 2.490 300 .170 1.250 3.000 1.250 .170′ 1.250 3.020 1.260 .170 1350 2.500 1.250 .000 1350 2.950 1.250 .100 2.500 4.150 2300 .030 2300 4.110 2.500 .000 2.500 3.480 2.500 .200 2.500 3.950 2.500 .100 5.000 5330 5.000 .050 5.000 5330 5.000 .070 5.000 4.900 5.000 .450 5.000 5.800 5.000 .450 7.500 7.090 7.600 .250 7.500 7.130 7.500 380 7.500 5.950 7.500 .700 7300 8.800 7.500 300 10.000 8.000 10.000 .500 ta. ooo 8.180 10.000 .960 10.000 6.700 10.000 350 10.000 7.400 10.000 1.000 18.000 9.150 15300 1.190 15300 9.500 16.000 1.470 15.000 8.000 15.000 1.450 16.000 8.550 16000 1.500 20.000 9370 20.000 1370 20.000 10.220 20.000 2.130 20.000 8.700 20.000 1350 20.000 8.200 20.000 1.950 25.000 10380 25300 2350 25.000 10310 25.000 2.560 25.000 9.000 25.000 2.600 25300 9.580 25.000 2.400 30.000 10.370 30.000 2.700 30.000 10300 30.000 2.830 30.000 9350 30.000 3.000 30.000 9.850 30.000 2300 40.000 9.910 40.000 3.050 40.000 9.900 40.000 3.000 40.000 8300 40.000 4.000 40.000 9.300 40.000 3.400 60.000 8380 50.000 2.980 «0.000 8330 50.000 2.900 50.000 8.000 50.000 4.500 50.000 9.800 50.000 3300 90.000 7.500 90.000 2.670 60.000 7.470 60.000 2.820 60.000 6300 60.000 4.000 60.000 7.700 60.000 3.750 70.000 5.900 70.000 2.220 70.000 5350 70.000 2.170 70.000 5.500 70.000 3.000 70.000 8350 70.000 3.400 80.000 4.200 80.000 1320 80.000 4.150 80.000 1.530 60.000 3.950 80.000 2.000 80.000 5.400 80.000 2350 90.000 2320 90.000 390 90.000 2.330 90.000 .830 90.000 2350 90.000 1.000 90.000 3.950 90.000 1.600 100.000 .330 100.000 .000 100.000 .350 100.000 .000 95.000 1.400 95.000 .500 95.000 2.900 95.000 .900 100.000 .500 100300 .000 100.000 .500 100.000 .000
 Benedek 885578 I E. rediu* 0.6 Percent

 .000 .400 .000 .790 .200 1.000 .400 1.220 800 1800 1.290 1.970 2800 3.000 9.000 4.730 7.900 8.170 10.0 7830 19.0 9.*20 20.0 10890 29800 10.470 30.0 10830 40800 10830 90.0 9.470 90.0 8.200 70.0 8.800 80800 4870 90.0 2.900 100.000 .100

 Pfenning Laminar 11 LE. radiu* 08 Percent

 AIRFOIL 64 6.45* 2*00 e. oo AIRFOIL 65 e •88« 6.00 N A Y N A T V-DISTR. FOR the above ALPHA REL . ZERO-LIFT LINE 0 00000 0.0000Q 0*862 0*854 0 1.00006 0 00000 J7»19 0.S7T l 99679 0*00076 0*891 0*888 1 0.99660 0 00070 0.699 0.895 2 98761 0*00311 0*947 0*948 2 0.96762 0 00260 0.969 0.951 Э 9t324 0*00686 1*006 1*013 3 0.97319 0 00639 1.005 1.012 4 95409 0*01145 1*042 1.05S 4 0.95367 0 01060 1.035 1.066 5 93022 0*01659 1*057 1.077 5 0.92963 0 01563 1.062 1.061 6 90185 0*02223 1*073 1*099 6 0.90067 0 02079 1.0S1 1.077 7 86942 0*02829 1*090 1*123 7 0.06763 0 02075 1.063 1.09S 8 8ЭЭЭ6 0*03455 1*105 1*146 8 0.03062 0 03321 1.076 1.116 9 79408 0*04081 1*119 1*167 9 0.79010 0 06006 1.092 1.139 10 75200 0*04691 1*132 1*188 10 0,76727 9 06713 1.110 1,166 11 70756 0*05267 1*143 1*208 11 0.70230 0 05621 1.130 1.195 12 66122 0*05793 1*153 1*228 12 0.65560 0 06100 1.1S2 1.227 13 61344 0*06257 1*161 1*246 13 0.00056 0 06739 1.170 1.262 14 56469 0*06646 1*168 1*264 14 0.56091 0 07286 1.201 1.300 15 51543 0*06950 1*173 1*281 15 0.51352 9 07697 1.229 1.362 16 46615 0*07162 1*177 1*298 16 0.60626 0 07915 1.222 1.366 17 41731 0*07275 1 • 1179 1.315 17 0.61697 0 07976 1.215 1.356 18 36938 0*07288 1*180 1*331 18 0.37226 9 07905 1.206 1.361 19 32280 0.07197 1*178 1*348 19 0.32656 9 07716 1.197 1.369 ao 27803 0*07004 1*175 1*365 20 0.26233 9 07622 1.165 1.377 U 23547 0*06710 1*168 1*382 21 0.26007 9 07026 1.171 1.385 22 19553 0*06322 1*159 1.401 22 0.20017 9 06530 1.154 1.395 23 15858 0*05844 1*145 1*420 23 0.16305 9 05966 1.133 1.605 24 12494 0*05285 1*124 1*441 24 0.12905 9 05326 1.100 1.617 25 09490 0*04653 1*095 1*464 25 0.09651 9 06627 1.070 1.630 26 06872 0*03960 1*052 1*487 26 0.07170 9 03680 1.022 1.666 27 04658 0*03221 0*986 1*511 27 0.06660 9 03119 0.956 1.661 28 0?863 0*02453 0*861 1*531 28 0.03022 9 02363 0.652 1.660 29 Of 496 0*01680 0.70S 1.543 29 0.01569 9 01563 0.686 1.502 30 0<) 560 0*00931 0*382 1*525 30 0.00600 9 00605 0.361 1.519 31 06056 0.002S8 0*286 1*429 31 0.00061 9 00261 0.306 1.519 32 00075 •0*00255 1*503 0.752 32 0.00079 •9 00236 1.506 0.752 33 06675 •0*00664 1*390 0*199 33 0.00693 •9 00629 1.390 0.199 34 01818 -0*01038 1*318 0.S29 34 0.01636 •9 00993 1.316 0.5Э0 35 03477 -0*01348 1*260 0*683 35 O. OSSOO -9 01295 1.260 0.663 36 05640 -0*01582 1*215 0*766 36 0.05066 -9 01522 1.216 0.766 37 08293 -0*01735 1*178 0*814 37 0.06317 -9 01670 1.178 0.616 38 11415 •0*01810 1*146 0*843 38 0.11639 •9 01761 1.166 0,663 39 14979 •0*01809 1*118 0*861 39 0.15006 •9 01730 1.116 0.661 60 18954 -0*01740 1*093 0*872 40 0.16979 -9 01006 1.096 0.673 41 23300 -0*01610 1*071 0!* 879 41 0.23325 •9 01533 1.071 0,679 42 27973 -0*01431 1*051 0*882 42 0.27990 •9 01352 1.05І 0.663 4*% 32924 -0*01212 1*032 0*884 43 0.32950 •9 01131 1.033 0.666 44 38098 -0*00965 1*01S 0*883 44 0.36126 •9 00866 1.0І6 0.6*6 45 43439 -0*00701 0*999 0*882 45 0.6Э66Т •9 00021 0.999 0,6*2 46 48884 -0*00434 0*984 0*879 46 0.66912 •9 00356 0.966 o. tao 47 54370 -0*00173 0*970 0*876 47 0.56399 -9 00095 0.970 0.876 48 59831 0*00069 0*956 0*873 48 0.59661 9 00165 0.956 0.673 49 65199 0*00284 0*943 0*869 49 0.05230 9 00357 0.963 0.669 50 70409 0*00461 0..9Э0 0*864 50 0.70660 9 00531 0.930 0.666 51 75392 0*00595 0*918 0*859 51 0.75626 9 00661 0.916 0.660 52 80082 0*00678 0*906 0*8S5 52 0.60115 9 00760 0.906 0.655 53 84416 0*00709 0*894 0*849 S3 0.06650 9 00705 0.696 0.650 54 88331 0*00686 0*883 0*844 54 0.06305 9 00730 0.663 0,666 55 91770 0*00612 0*871 0*839 55 0.91603 9 00656 0.672 0.639 56 94675 0*00491 0*861 0*833 56 0.96709 9 00522 0.661 0.636 57 96990 0*00333 0*857 0*83\$ 57 0.97019 9 00350 0.660 0.637 58 98661 0*00169 0*861 0*843 58 0.98660 9 00175 0.670 0.652 59 99665 0*00046 0*865 0*853 59 0.99071 9 00066 0.660 0.667 60 00000 0*00000 0*862 0*854 60 1.00000 9 00000 0.679 0.871 ALPHAO « 4«SS DEGREES CMO a-0*1222 ALPNAt * 6.56 oegrees CNO >«0.1206 ETA « 1*071 ETA « 1.072
 WARNING * SUBROUTINE SMOOTH HAS SLOPES WARNING – SUBROUTINE SMOOTH HAS SLOPES •0.3B0 *N0-0*482 BETWEEN POINTS 32 ANO 3 «0.406 ANO-0.691 BETWEEN POINTS 32 AND

EPPLER 205 EPPLER 207 EPPLER 209

PROF1L E 205 10.484b PROFIL E 207 12.04% PROFIL E209 13.78%

 N X Y X Y X Y 0 100.000 0.000 100.000 0.000 100.000 0.000 1 99.655 .039 99.647 .045 99.639 .052 2 98.649 .174 98.625 .202 98.600 .232 3 97.049 .427 97.011 .489 96.969 .557 4 94.916 .778 94.870 .881 94.821 .992 5 92.285 1.196 92.238 1.337 92.187 1.488 6 89.175 1.668 89.128 1.841 89.077 2.027 7 85.624 2.199 85.576 2.400 85.523 2.615 8 81.684 2.786 81.633 3.011 81.577 3.253 9 77.412 3.419 77.357 3.666 77.295 3.930 10 72.866 4.088 72.806 4.352 72.738 4.634 11 68.108 4.777 68.043 5.055 67.968 5.352 12 63.204 5.470 63.132 5.759 63.049 6.065 13 58.218 6.147 58.139 6.441 58.047 6.753 14 53.217 6.782 53.129 7.079 53.028 7.393 15 48.265 7.342 48.169 7.638 48.058 7.949 16 43.410 7.785 43.306 8.075 43.185 8.380 17 38.680 8.081 38.567 8.362 38.436 8.657 18 34.101 8.214 33.981 8.483 33.841 8.764 19 29.699 8.177 29.573 8.430 29.424 8.694 20 25.496 7.970 25.363 8.205 25.208 8.448 21 21.508 7.606 21.371 7.819 21.211 8.037 22 17.764 7.111 17.626 7.300 17.461 7.490 23 14.302 6.507 14.162 6.669 13.997 6.830 24 11.157 5.811 11.018 5.944 10.854 6.073 25 8.360 5.040 8.225 5.143 8.065 5.237 26 5.937 4.211 5.808 4.282 5.656 4.341 27 3.909 3.344 3.791 3.383 3.651 3.406 28 2.292 2.461 2.189 2.468 2.066 2.454 29 1.097 1.589 1.015 1.565 .916 1.517 30 .331 .766 .279 .714 .216 .635 31 .002 .055 .000 -.015 .007 -.106 32 .233 -.506 .304 -.626 .398 -.775 33 1.065 -.988 1.212 -1.204 1.379 -1.467 34 2.419 -1.420 2.628 -1.750 2.852 -2.140 35 4.291 -1.776 4.543 -2.234 4.804 -2.765 36 6.669 -2.053 6.943 -2.649 7.219 -3.329 37 9.534 -2.252 9.807 -2.991 10.073 -3.821 38 12.864 -2.378 13.109 -3.257 13.340 -4.233 39 16.627 -2.436 16.817 -3.448 16.986 -4.561 40 20.783 -2.435 20.893 -565 20.974 -4.799 41 25.290 -2.384 25.292 -3.611 25.258 -4.943 42 30.097 -2.292 29.966 -3.586 29.793 -4.985 43 35.149 -2.168 34.861 -3.487 34.524 -4.909 44 40.388 -2.021 39.937 -3.302 39.430 -4.683 45 45.751 -1.859 45.165 -3.044 44.516 -4.322 46 51.174 -1.689 50.495 -2.744 49.749 -3.884 47 56.591 -1.516 55.860 -2.425 55.057 -3.409 48 61.938 -1.345 61.189 -2.102 60.368 -2.923 49 67.149 -1.180 66.414 -1.787 65.609 -2.446 50 72.160 -1.023 71.467 -1.488 70.708 -1.993 51 76.911 -.876 76.283 -1.212 75.594 -1.576 52 81.343 -.740 80.796 -.963 80.197 -1.205 53 85.400 -.614 84.948 -.744 84.451 -.884 54 89.034 -.380 91.942 -.390 91.665 -.400 55 92.195 -.380 91.942 -.390 91.665 -.400 56 94.860 -.252 94.699 -.239 94.522 -.222 57 97.017 -.125 96.930 -.108 96.834 -.089 58 98.635 -.036 98.598 -.026 98.558 -.014 59 99.651 -.003 99.643 -.000 99.633 .003 60 100.000 .000 100.000 .000 100.000 -.000 CM = -.0460 fi « 2.37° CM = -.0499 fi = 2.33е CM * -.0547 fi = 2.28°

 XU YU .000 900 .026 .190 .466 .915 1.344 1.740 2.652 2906 4.363 3.487 6.525 4.352 9.061 5.161 11.957 5.957 15.218 5.663 19780 7.284 22920 7905 26.595 6.213 30.967 8.487 39403 8.603 39.979 8951 44973 8.332 49.458 7.954 54.305 7.438 59.186 8908 64.052 8.112 56939 6.381 73.484 4.842 77.923 3.914 82.096 3.214 85.945 2.558 89.414 1957 92.452 1.415 95.023 932 97.106 .522 98.674 .220 99.661 .051 100.000 .000

XL YL.000 000 .129 -.375 919 -.938 2.044 -1.252 3.791 -1.598 6.049 -1841 8901 -2.010 12.026 -2.098 15.697 -2.112 19.778 -2.061 24.227 -1.955 28.998 -1.807 34.035 -1.628 39.280 -1.430 44.672 -1.244 50.145 -1.019 55.630 – 824 61.059 -.645 66.384 -.486 71.479 -950 76.339 -.239 80982 -.153 85.050 -.091 88.788 -.048 92.048 -.018 94.794 .010

97.003 .032

98.640 .034

99.655 .014

100.000 .000

 Wortmann FX 38*153 Camber 2.1 fercant

 AIRFOIL 0008 10 .80X AIRFOIL 12 9.27X AIRFOIL 14 8.47X N X Y N К Y N X Y 0 100.000 0. 0 0 100. .000 0.0 0 100.000 0.0 1 99.664 0. 082 1 99. .665 0.052 1 99.667 0.045 2 98.714 0. 338 2 98. .701 0.219 2 98.707 0.195 3 97.253 0. 740 3 97, .190 0.497 3 97.194 0.446 4 95.321 1. 211 4 95 .174 0 .837 4 95.169 0.760 5 92.908 1. 712 5 92 .660 1.213 5 92.645 1.112 6 90.028 2. 250 6 89 .671 1.629 6 89.647 1.506 7 86.722 2. 819 7 86. .251 2.080 7 86.218 1.937 8 83.033 3. 407 8 82 .447 2.557 8 82.405 2.394 9 79.007 4. 001 9 78 .304 3.047 9 78.255 2.867 10 74.689 4. 586 10 73 .875 3.538 10 73.817 3.344 11 70.131 5. 147 11 69 .209 4.018 11 69.145 3.811 12 65.381 5. 672 12 64 .361 4.472 12 64.292 4.256 13 60.492 6. 147 13 59 . 384 4.889 13 59.310 4.666 14 55.516 6. 558 14 54 .331 5.256 14 54.254 5.029 15 50.504 6. 895 15 49 .257 5.562 15 49.178 5.334 16 45.508 7. 146 16 44 .213 5.795 16 44.133 5.570 17 40.577 7. 303 17 39 .251 5.948 17 39.172 5.727 18 35.760 7. 359 18 34 .419 6.013 18 34.343 5.800 19 31.103 7. 309 19 29 . 765 5.984 19 29.692 5.780 20 26.649 7. 149 20 25 .331 5.857 20 25.262 5.666. 21 22.440 6. 878 21 21 .158 5.631 21 21.095 5.456i 22 18.512 6. 498 22 17 .282 5.308 22 17.226 5.151 23 14.898 6. 013 23 13 .>36 4.892 23 13.689 4.755 24 11.627 5. 431 24 10 .551 4.391 24 10.513 4.275 25 8.724 4. 763 25 7 .750 3.815 25 7.725 3.721 26 6.211 4. 023 26 5 .357 3.176 26 5.344 3.104 27 4.105 3. 230 27 3 .389 2.492 27 3.388 2.439 28 2.421 2. 405 28 1 .859 1.779 28 1.867 1.744 29 1.169 1. 577 29 0 .772 1.067 29 0.786 1.048 30 0.360 0. 779 30 0 .140 0.393 30 0.150 0.390 31 0.004 0. 079 31 0. .026 -0.161 31 0.022 -0.139 32 0.219 -0. 521 32 0. .486 -0.652 32 0.465 -0.595 33 1.024 -1. 097 33 1 .483 -1.155 33 1.447 -1.055 34 2.328 -1. 645 34 2 .985 -1.618 34 2.938 -1.468 35 4.124 -2. 137 35 4 .983 -2.030 35 4.931 -1.824 36 6.398 *2. 559 36 7 .462 -2.382 36 7.412 -2.116 37 9.136 -2. 903 37 10 .404 -2.673 37 10.363 -2.346 38 12.318 -3. 170 38 13 .781 -2.903 38 13.756 -2.515 39 15.914 •3. 363 39 17 .558 -3.074 39 17.559 -2.629 40 19.884 -3. 484 40 21 .697 -3.190 40 21.730 -2.690 41 24.185 -3. 538 41 26, .153 -3.252 41 26.227 -2.705 42 28.769 -3. 525 42 30. .876 -3.266 42 30.998 -2.680 43 33.580 -3. .446 43 35. .813 -3.235 43 35.989 -2.619 44 38.562 -3. .299 44 40. .907 -3.161 44 41.144 -2.527 45 43.655 -3. .069 45 46. .098 -3.046 45 46.401 -2.409 46 48.825 -2. .728 46 51. .327 -2.891 46 51.701 -2.267 47 54.071 -2. .287 47 56. .530 -2.694 47 56.979 -2.105 48 59.361 -1. .802 48 61. .646 -2.448 48 62.175 -1.921 49 64.626 ►1. .317 49 66. .629 -2.128 49 67.227 -1.718 50 69.792 -0, .862 50 71. .476 -1.732 50 72.073 -1.480 51 74.784 -0. .463 51 76. .164 -1.318 51 76.689 -1.194 52 79.524 -0. .138 52 80. .621 -0.934 52 81.057 -0.890 53 83.934 0. .102 53 84. .773 -0.604 53 85.121 -0.612 54 87.940 0. .252 54 88. .550 -0.342 54 88.811 -0.382 55 91.469 0. .315 55 91. .881 -0.155 55 92.063 -0.209 56 94.456 0. .302 56 94. 705 -0.039 56 94.817 -0.091 57 96.845 0. .233 57 96. .969 0.020 57 97.026 -0.019 58 98.586 0. .133 58 98. ‘632 0.032 58 98.654 0.012 59 99.645 0. .040 59 99. 654 0.014 59 99.659 0.008 60 100.000 0. .000 60 160. 000 0.0 60 100.000 0.0 ALPHAO CMO = – = 3.74 DEGREES 0.1028 ALPHAO cno s 2. =-0. 07 0527 DEGREES ALPHAO cno и и i Є N* ** V» DEGREES

 JANOVEC 8*12

 888*388**38

x у

 1 . иисюи U. UUU1M .99674 .00039 .99707 .00150 .97126 .00367 .94970 .00699 .92292 .01150 .69147 .01713 .69594 .02373 .6169Э .03107 .77501 .03666 .73070 .04669 .66454 .05479 .63700 .06231 .96656 .06920 .53965 .07526 .49073 .06029 .44220 .06416 .39450 .06677 .34605 .06605 .30323 .06794 .26043 .06644 .22002 .06356 .16232 .07934 .14769 .07362 .11622 .06706 .06623 .05927 .06364 .05060 .04320 .04130 .02649 .03166 . 01374 .02205 .00517 .01269 .00077 .00401 .00056 *.00312 .00579 *.00664 .01662 -.01315 .03263 -.01645 .05397 -.01644 .06063 -.01936 .11236 -.01939 .14663 -.01673 .16960 -.01750 .23417 -.01561 .26205 -.01374 .33271 -.01142 .36555 -.00694 .43995 -.00643 .49526 •.00396 .99066 -.00171 .60605 .00029 .66009 .00162 .71216 .00296 .76166 .00367 .60795 .00397 .65036 .00391 .66634 .00354 .92140 .00299 .94911 .00222 .67109 .00144 .96709 .00073 .99674 .00020 1.00000 -.00000
 X У X У X У X У 00000 0.00000 1.00000 0.00000 1.Ос000 0.00000 1.00000 0.ооооо 99679 .00126 .99662 .00093 .99679 .00034 .99677 .00099 96799 .00901 .96666 .00231 .96709 .00147 .96736 .00226 97456 .01036 .97193 .00936 .97129 .00363 .97242 .00921 99696 .01636 .99119 .00939 .94976 .00696 .99237 .00906 93361 .02299 .92601 .01361 .92304 .*01 199 .92746 .01399 90692 .03009 .69611 .01677 .69170 .01729 .69794 .01666 67910 .03766 .86192 .021*22 .69637 .02403 .66424 .02430 63996 .04997 .62393 .03011 .61764 .03191 .82669 .03033 60196 .09396 .76266 .03632 .77610 .03949 .76630 .03697 76043 .06192 .73669 .04271 .73227 .04792 .74310 .04262 71703 .06914 .69260 .04911 .66669 .09941 .69771 .04663 67169 .07619 .64900 .09931 .63971 .06283 .69062 .09439 62932 .06241 .99647 .06102 .99169 .06990 .60229 .09934 97762 .06760 .94793 .06992 .94399 .07320 .99306 .06392 92979 .09167 .49693 .06973 .49922 .07974 .90349 .06663 46196 .09493 .44977 .07232 .44716 .06302 .49401 .06922 43371 .09606 .40160 .07366 .39979 .06492 .40907 .07062 38660 .09626 .39444 .07363 .39346 .06943 .39714 .07102 34064 .09912 .30666 .07280 .30862 .06494 .31066 .07042 29623 .09296 .26476 .07066 .26999 .06226 .26612 .06669 29373 .06671 .22310 .06749 .22460 .07676 .22394 .06631 21390 .06361 .16409 .06333 . 6620 .07414 .18493 .06269 17967 .07741 .14613 .09626 .19074 .06649 .14630 .09649 14120 .07023 .11991 .09243 .11699 .06166 .11999 .09326 10960 .06229 .06699 .04966 .06966 .09436 .06699 .04729 06196 .09361 .06147 .03679 .06493 .04617 .06167 .04060 09792 .04491 .04093 .03131 .04366 .03741 .04093 03323 03769 .03919 .02366 .02360 .02677 .02839 .02437 .02936 02206 .02979 .01163 .01964 .01380 .01936 .01204 .01730 01090 .01649 .00377 .00623 .00903 .01069 .00400 .00939 00313 .00776 .00013 .00131 .00046 .00263 .00021 .00191 00001 .00038 .00192 -.00392 .00079 •.00320 .00119 -.00406 00246 -.00902 .00676 -.00761 .00681 -.00767 .00799 •.00692 01117 •.00919 .02169 -.01116 .01639 -.01209 .01909 -.01317 02993 -.01267 .03990 -.01368 .03499 -.01946 .03994 -.01630 04922 -.01994 .06334 -.01992 .09666 -.01760 .09723 -.01620 07000 -.01634 .09177 -.01729 .06326 -.01906 .06413 -.01911 09999 •.02006 .12494 -.01606 .11474 -.01932 . 1999 -.01920 13368 -.02111 .16249 -.01640 .19069 -.01669 .19247 -.01669 17169 -.02192 .20391 -.01629 .19129 -.01724 .19313 -.01797 21376 -.02129 .24679 -.01771 .23969 -.01926 .23791 -.01609 29666 •.02044 .29*61 -.01671 .26349 -.01292 .26909 -.01417 30669 -.01697 .34696 -.01941 .33413 -.01034 .33937 -.01202 39670 -.01689 .39927 -.01392 .36706 -.00772 .36774 -.00970 40636 -.01409 ..49266 -.01231 .44199 -. 009,16 .44162 •.00726 46124 -.01061 .90711 -.01064 .49702 •.00279 .49640 -.00467 91493 -.00639 .96136 •.00696 .99269 •.00069 .99149 •.00296 96931 -.00192 .61907 -.00731 .60776 .00107 .60606 •.00093 62394 .00324 .66792 ’-. 00979 .66163 .00249 .69997 .00121 67603 .00747 .71609 -.00443 .71396 .00342 .71127 .00260 73071 .0.1064 .76614 •.00326 .76267 .00400 .76091 .00360 76110 .01311 .61109 •.00236 .60693 .00420 .60669 .00416 62629 .01419 .69226 -.00169 .69114 .00406 .64906 .00436 87139 .01390 .68923 -.00113 .66693 .00364 .66717 .00416 90999 .01242 .92149 •.00079 .92163 .00301 .92046 .00363 94190 .00962 .94694 -.00041 .94939 .00229 .94643 .00269 96749 .00646 .97026 -.00003 .97126 .00146 .97066 .00193 96969 .00321 .96646 .00016 .96713 .00074 .96666 .00102 99649 .00069 .99699 .00010 .99677 .00020 .99670 .00029 006oo .OCOOO 1*00046 •40000 1 • 00006 ,йОлло І. ОоООО • 04000

 X У X У X У X У 00000 0.00000 1.ooooo 0.00000 1.оооос 0.00000 1.00000 0.00000 99694 .00023 .99694 .00036 .99690 .00042 .99669 .00043 96621 .00111 .99746 .00196 .99619 .00196 .99679 .00194 96929 .00307 .97209 .00376 .96949 .00461 .97069 .00444 94604 .*00694 .99106 .00702 .94697 .00991 .94993 .00834 91742 .01192 .92493 .01132 .91927 .01444 .92202 .01391 •6429 .01990 .99394 .01661 .99703 .02139 .99094 .01994 94791 .02797 .99961 .02279 .99099 .02939 .99907 .02714 90901 .03749 .91971 .02971 .91146 .03917 .91616 .03916 76666 .04799 .77769 .03719 .76933 .04740 .77439 .04369 72424 .09930 .73313 .04497 .72903 .09674 .73029 .09230 9909Э .06722 .69661 .09290 .67907 .06996 .69439 .06064 63993 .07442 .63999 .06042 .63196 .07443 .63721 .06996 99999 .06029 .99961 .06762 .99414 .09219 .99923 .07640 94234 .09492 .94019 .07420 .93609 .09991 .94091 .08299 49464 .06909 .49093 .07997 .49920 .09406 .49269 .08606 44690 .09996 .44204 .09472 .44079 .09770 .44477 .09187 39997 .09097 .39427 .09929 .39411 .09969 .39761 .09421 39312 .09992 .34799 .09090 .34997 .10001 .39194 .09904 .30909 .09904 .30399 .09119 .30490 .09667 .30694 .09439 29499 .09496 .26126 .09019 .26227 .09971 .26416 .09231 22379 .09044 .22127 .09791 .22219 .09119 .22361 .06809 19912 .07499 .19393 .09329 .19497 .09923 .16969 .06419 .14939 .06997 .14916 .07770 .14971 .07799 .19073 .07922 .11693 .06137 .11797 .07099 .11799 .06963 . 1999 .07113 09909 .09342 .09939 .06323 .09939 .06040 .09072 .06303 .09297 .04494 .06476 .09469 .06437 .09096 .06611 .Q9406 .04177 .03994 .04399 .04993 .04320 .04033 .04930 .04443 .02474 .02697 .02726 .03996 .02602 .03000 .02940 .03437 .01209 .01914 .01467 .02606 .01301 .01997 .01946 .02416 .00392 .00969 .00607 .01606 .00433 .01032 .00643 .01419 00019 .00199 .00129 .00643 .00017 .00193 .00130 .00909 00127 •.00429 .00016 •.00200 .00196 -.00466 .00030 -.00210 00901 -.00994 .00377 -.00914 .00916 -.01099 .00499 -.00721 .02093 •.01294 .01306 •.01234 .02237 -.01621 .01603 -.01117 0394S •.01613 .02779 -.01923 .04069 •.02144 .03260 -.01434 .06167 •.01949 .04791 -.01670 ■ .06399 •.02609 .09491 -.01664 09001 •.02012 .07391 -.01690 .09171 •.03004 .06196 -.01907 12317 •.02113 .10493 -.01964 .12392 -.03322 .11392 -.01669 .16079 •.02160 .14069 -.01417 .16019 -.03999 .19011 -.01897 20229 •.02199 .16140 -.01202 .20012 -.03714 .19099 -.01764 24730 -.02109 .22624 -.00997 .24337 •.03762 .23962 -.01661 29934 -.02016 .27499 •.00696 .29990 -.03766 .29362 -.01903 .34990 -.01999 .32999 -.00433 .*33902 •.03672 .33437 -.01323 39639 -.01739 .37936 -.00176 .39946 -.03497 .39726 -.01133 49219 -.01969 .43UM9 .00060 .44031 -.03249 .44162 -.00942 90667 -.01399 .49043 .00273 .49309 -.02934 .49677 -.00799 96120 -.01202 .94699 .00499 .94629 -.02999 .89203 -.00999 61911 -.01022 .60221 .00601 .99939 -.02139 .60671 -.00429 66779 •.00992 .69660 .00709 .69199 -.07703 .66013 -.00291 71949 -.00696 .70909 .00774 .70341 -.01296 .71162 -.00179 76666 •;00996 .79997 .00900 .79299 -.00910 .76093 -.00079 61169 -.00437 .60964 .00796 .*79966 -.00991 .80627 .00001 69297 •.00337 .64947 .00739 .64299 -.00337 .94833 .00067 99999 •.00297 .69692 .00692 .99219 -.00149 .66622 .00114 92229 -.00193 .92046 .00946 .91664 -.00026 .91946 .00139 94931 -.00140 .94962 .00407 .94976 .0004^ .94797 .00137 97093 •.00097 .97093 .00262 .96909 .00099 .97009 .00110 99669 •.00039 .99703 .00131 .99609 .00043 .96699 .00069 99699 -.00009 .99674 .00039 .99649 .00014 .99661 .00020 OOO0O фОСООО 1.00090 .ООбо* |.90 000 •Од ООО . воем .00ооо

 49 0.66752 -.0.01108 50 0.7)001 *0.01000 51 0.71171 *0.00000 52 0.02490 *0.00705 5) 0.00900 *0.00072 54 0.09707 *0.00557 55 0.92707 >0.00440 SO 0.95270 *0.00917 57 0.97279 *0.00108 50 0.90709 *0.00079 59 0.99000 – O. OGOIO 00 1.00001 *0.00000 ALPHAO – 0.02 DECREES CMO • 0.0004

AIRFOIL SSOlO-Rt К X Y

0 1.00000 0.0

1 0.99674 0.00001

2 0.90707 0.00007

9 0.9710] 0.000jo

4 0.94070 0.00108

5 0.92041 0.00256

6 0.00667 0.00516

7 0.04820 0.00903

0 0.80600 0.01406

9 0.76076 0.02000

10 0.71907 0.02600

11 0.66377 0.09420

12 0.61355 0.04163

19 0.56296 0.04077

14 0.51247 0.05529

15 0.46251 0.06099

16 0.41940 0.06546

17 0.96576 0.06879

10 0.91969 0.07069

19 0.27560 0.07113

20 0.23303 0.07023

21 0.19473 0.06799

22 0.15060 0.06445

29 0.12579 0.05960

24 0.09697 0.03377

25 0.07071 0.04600

26 0.04009 0.09915

27 0.03102 0.03001

20 0.01710 0.02214

29 0.00799 0.01940

90 0.00167 0.00533

91 0.00015 -0.00140

92 0.00424 *0.00650

33 0.01456 *0.01004

94 0.09020 *0.01471

95 0.05129 *0.01004

36 0.07710 *0.02002

37 0.I070S -0.02906

30 0.14291 -0.02401

39 0.10194 -0.02609

40 0.22440 -0.02600

41 0.27000 *0.02715

42 0.91029 *0.02691

43 0.96064 -0.02629

44 0.42035 -0.02517

45 0.47345 -0.02301

46 .0.52673 -0.02219

47 0.37983 -0.02039

40 0.69209 *0.01046

49 0.60292 *0.01645

50 0.73179 -0.01449

51 0.77792 -0.01243

52 0.82095 -0.01049

59 0.06090 -0.00065

54 0.09547 -0.00691

55 0.92603 *0.0052′

56 0.95163 *0.00967

57 0.97211 -0.00212

58 0.90790 -0.00000

59 0.99670 -0.00019

40 1.00001 -0.00000

ЛГ. РКАО «0.64 DECREES

CMO * 0.0006

 X(i) Yo Yu X(i ) Yo Yu 1 0.0000 1 0.OOUO 0.0000 1 0.0000 0.0000 0.0000 г .0050 .0076 -.0054 2 . 0050 . 0084 -.0062 3 .0125 .0115 -.0088 3 .0125 . 0128 -.0101 4 .0250 .0177 -.0128 4 .0250 .0195 -.0147 5 .0500 .0253 -.0175 5 .0500 .0280 -.0202 6 .1000 .0349 -.0229 6 .1000 . 0385 -.0265 7 .1500 .0414 -.0266 7 .1500 . 0456 -.0309 8 .2000 .0448 -.0284 8 .2000 . 0494 -.0325 9 .2500 . 0473 -.0297 9 .2500 .0521 -.0345 10 .3000 .0488 -.0302 10 .3000 .0537 -.0351 11 .3500 . 04V6 -.0304 11 .3500 . 0546 -.0354 12 .4000 . 0490 -.0295 12 .4009 . 0540 -.0344 13 .5000 . 0463 -.0263 13 .5000 .0508 -.0308 14 .6000 .0402 -.0208 14 .6000 . 0440 -.0246 15 .7000 .0312 -.0136 15 .7000 . 0340 -.0164 lb .8000 . 0208 -.0069 16 .8000 .0225 -.0Д87 17 .8500 .0153 -.0042 17 .8500 .0165 -.0054 18 .9000 .0101 -.0021 18 .9000 .0109 -.0029 1? .9500 .0047 -.0006 19 .9500 . 0050 -.0009 20 1.0000 0.0000 0.0000 20 1.0000 0.0000 0.0000 HQ-1,0/10 HQ-1,5/8 X(i) Yo Yu _ X(i> Yo Yu 0.0000 0 . UUOO 1 0.0000 U. 0001) 0 . OOUO 2 .0050 . 0092 – .0070 2 .0050 . 0082 – .0048 3 .0125 .0141 -.0114 3 .0125 .0128 – .0082 4 .0250 . 0214 -.0166 4 .0250 .0189 -.0115 5 . 0500 . 0307 -.0228 5 .0500 . 0273 -.0156 6 . 1000 .0421 -.0301 6 .1000 . 037V -.0199 7 . 1500 . 0499 -.0351 7 .1500 . 0451 – . 0229 8 .2000 . 0540 -.0375 8 .2000 .0489 – . 0243 V .2500 . 0569 -.0393 9 .2500 . 0517 -.Ubjj 10 .3000 . 0586 -.0400 10 .3000 .0534 -.0255 11 .3500 . 0596 -.0404 11 .350 0 . 0544 -.0256 12 .4000 .0589 -.0393 12 .4000 .0534 -.0246 13 .5000 .0554 -.0354 13 .5000 .0513 -.0213 14 .6000 . 0478 -.0284 14 .6000 . 0450 – . 0159 15 .7000 .0368 -.0192 15 .7000 .0356 -.0092 16 .8000 .0243 -.0104 16 .8000 .0243 -.0035 17 .8500 .0177 -.0066 17 .8500 .0181 -.0014 18 .9000 .0117 -.0037 18 .9000 .0121 -.0002 19 .9500 .0054 -.0013 19 .9500 .0057 -.0004 20 1.0000 0.0000 0.0000 20 1.0000 0.0000 0.0000

U5/» І7І —

HQ-1,5/9 HQ-1,5/10

X (i) Yo Yu X(l) Yo Yu

HQ-2^/8

SD7032

SD7037

 1 1 0 17 0.44745 0.07211 33 0.00127 -0.00393 49 0.60914 -.00549 2 0.99672 0.00042 18 0.39862 0.0741 34 0.00806 -0.00839 50 0.66197 -.00349 3 0.98707 0.0018 19 0.35101 0.07504 35 0.02038 -0.01227 51 0.71305 -.00168 4 0.97146 0.00436 20 0.30508 0.07488 36 0.038 -0.01541 52 0.76178 -.00014 5 0.95041 0.00811 21 0.26125 0.07358 37 0.06074 -0.01777 53 0.80752 0.00104 6 0.9245 0.01295 22 0.21989 0.07113 38 0.08844 -0.01934 54 0.84964 0.00182 7 0.89425 0.01865 23 0.18137 0.06754 39 0.12084 -0.02017 55 0.88756 0.00220 8 0.86015 0.0249 24 0.14601 0.06286 40 0.15765 -0.02032 56 0.92071 0.00218 9 0.82261 0.03141 25 0.1141 0.05715 41 0.1985 -0.01987 57 0.94859 0.00185 10 0.78201 0.03788 26 0.08586 0.05049 42 0.24296 -0.01891 58 0.97077 0.00132 11 0.73865 0.04413 27 0.06146 0.043 43 0.29055 -0.01754 59 0.98690 0.00071 12 0.69294 0.05011 28 0.04102 0.03486 44 0.34071 -0.01586 60 0.99671 0.00021 13 0.64539 0.05572 29 0.02462 0.02632 45 0.39288 -0.01396 61 1.00001 0.00000 14 0.59655 0.06085 ЗО 0.01232 0.0177 46 0.44643 -0.0119 15 0.54693 0.06538 31 0.00418 0.00936 47 0.50074 -0.00976 16 0.49706 0.06917 32 0.00021 0.00185 48 0.55519 -0.0076

SD7090

 1 1 0 17 0.43649 0.06457 33 0.00345 -.00734 49 0.61442 -.01948 2 0.99655 0.0005 18 0.38699 0.06674 34 0.01238 -.01318 50 0.66605 -.01658 3 0.98664 0.00219 19 0.3389 0.06795 35 0.02624 -.01834 51 0.71605 -.01363 4 0.97113 0.00512 20 0.29269 0.06814 36 0.04514 -.02262 52 0.76381 -.01083 5 0.95062 0.00882 21 0.24878 0.06724 37 0.06903 -.02605 53 0.80869 -.00829 6 0.92522 0.01284 22 0.20759 0.06522 38 0.09771 -.02873 54 0.85007 -.00609 7 0.895 0.01718 23 0.16945 0.06206 39 0.13087 -.03067 55 0.88735 -.00426 8 0.86036 0.02188 24 0.13467 0.05780 40 0.16817 -.03188 56 0.92001 -.00279 9 0.82176 0.02691 25 0.10352 0.05249 41 0.20926 -.03240 57 0.94757 -.00160 10 0.77972 0.03218 26 0.07624 0.04621 42 0.25371 -.03229 58 0.96974 -.00066 11 0.73479 0.0376 27 0.05297 0.03907 43 0.30106 -.03161 59 0.98622 -.00009 12 0.68754 0.04304 28 0.03384 0.0312S 44 0.35077 -.03046 60 0.99650 0.00004 13 0.6386 0.04834 29 0.01891 0.02298 45 0.40227 -.02889 61 1.00001 0.00000 14 0.5885 0.05329 ЗО 0.00827 0.01458 46 0.45499 -.02696 15 0.53777 0.05773 31 0.00196 0.00637 47 0.50832 -.02472 16 0.48692 0.06153 32 5e-05 -.00097 48 0.56166 -.02221

SD8000

[1] N. A.C. A., National Advisory Committee for Aeronautics, U. S.A., now replaced by N. A.S. A.

[2] For explanation of the first, second and third digits of these aerofoils, see Chapter 9.

[3] The author is grateful to Andy Lennon for drawing his attention to this work and for subsequent discussions of it.