CN1036536A - 翼型叶片 - Google Patents

翼型叶片 Download PDF

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CN1036536A
CN1036536A CN89100932A CN89100932A CN1036536A CN 1036536 A CN1036536 A CN 1036536A CN 89100932 A CN89100932 A CN 89100932A CN 89100932 A CN89100932 A CN 89100932A CN 1036536 A CN1036536 A CN 1036536A
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CN1017792B (zh
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哈里·斯蒂芬·怀瑙斯基
卡罗尔·玛丽·瓦齐
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Raytheon Technologies Corp
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United Technologies Corp
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B64—AIRCRAFT; AVIATION; COSMONAUTICS
    • B64C—AEROPLANES; HELICOPTERS
    • B64C27/00—Rotorcraft; Rotors peculiar thereto
    • B64C27/32—Rotors
    • B64C27/46—Blades
    • B64C27/467—Aerodynamic features
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B64—AIRCRAFT; AVIATION; COSMONAUTICS
    • B64C—AEROPLANES; HELICOPTERS
    • B64C11/00—Propellers, e.g. of ducted type; Features common to propellers and rotors for rotorcraft
    • B64C11/16—Blades
    • B64C11/18—Aerodynamic features
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10S—TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10S416/00—Fluid reaction surfaces, i.e. impellers
    • Y10S416/02—Formulas of curves

Abstract

一叶片由若干翼型断面系列(23、29、39、57、85、 136、206)组成，各断面的特点为有一大的前沿半径， 弧高约在45％翼型断面弦长处具有一最高点，后沿 较钝。翼型断面的厚度比(h/b)自接近叶根(20)的 约20％减薄到接近叶顶(15)的2％。各翼型断面的 最大厚度沿其弦长从20％翼型断面的约39％翼型 断面弦长增到2％翼型断面的约42％翼型断面弦 长。故本发明新的叶片在0.50至0.70马赫数范围 内具有较NACA系列16翼型更优越的空气动力性 能，而对外物损伤和加工问题不敏感。

Description

翼型叶片
本发明涉及一种推进器叶片，尤其涉及一种由新的翼型系列组成的推进器叶片。
为了使推进器重量做成最轻，希望采用窄的翼弦叶片。然而该种叶片须具有高的工作升力系数，以便提高所需的起飞推力，而且还须有为高效的巡航作业所需的低的工作升力系数。这种作业效率对于要求大范围的指定高度和高速巡航的飞行断面的飞机是特别重要的。
现有技术的推进器叶片却不能满足这些需要，尤其是对于在0.50至0.70马赫数范围内巡航的飞机。特别是NACA系列16叶片，在起飞，巡航和指定高度巡航速度时可能遭受不可接受的击冲损失。因此在找寻新的翼型系列来应用于推进器叶片。
本发明的目的是要创新一种包括翼型断面系列的叶片，它在起飞时提供高的工作升力系数，而在巡航和指定高度巡航速度时具有高效的工作特性。
本发明的另一目的是使由为工作于0.50至0.70马赫数的航空器而设计的翼型系列所组成的推进器叶片在起飞和巡航时冲击损失减至最小。
本发明的又一目的是要创制一种具有对外物损伤不敏感的翼型断面的叶片。
本发明的再一个目的是要创制一种具有易于加工的翼型断面的叶片。
按照本发明，叶片由若干翼型断面系列所组成，每一断面的特点是有一些大的前沿半径，弧高的最高点约在翼型断面弦长的45％处。后沿较钝。翼型断面厚度比(厚度/叶长)从接近叶根的大约20％逐渐变薄至接近叶尖的大约2％。每翼型断面沿着弦长的最大厚度从位于20％翼型断面的大约39％弦长处增加到2％翼型断面的大约42％弦长处。因此，本发明新叶片的性能在0.50至0.70马赫数范围内比NACA系列16翼型优越，对于外物损伤和加工不敏感。
按照附图所示的最佳实施例如下详细叙述。本发明的这些和另一些目的，性质和优点就会变得更加明显。
图1是本发明翼型的一系列断面图和一叶片平面图，沿这些叶片断面的中心线，表示了典型的位置，各翼型被放大以便表示其形状细节。
图2是发明翼型系列的弧高线的图解表示法，X/C表示在弦线上的无因次位置，弧高/弦长表示弧高线对翼型弦的无因次高度；
图3是本发明翼型断面厚度的图解表示法，厚度比弦长是在相应弦位置上翼型的无因次厚度X/C；
图4是本发明的翼型断面的图解表示法。
参照图1，表示出本发明翼型叶片10的一系列横剖面。叶片具有叶尖部分15和叶根部分20。叶片的每翼型断面由包括等于厚度比(厚度/长度)乘以1000的二个数字的标记表示。因此，例如，最上的翼型断面23，其特点为厚度比是0.023，第二翼型断面29其特点为厚度比是0.029，第三翼型断面39其特点为厚度比是0.039，第四翼型断面57其特点为厚度比是0.057，第五翼型断面85；其特点为厚度比是0.085，第六翼型断面136，其特点为厚度比是0.136，第七翼型横面206，其特点为厚度比是0.206。
仍参照图1，可以看到翼型横断面23是取自离叶片根部20、大约0.90叶片纵轴线长度的位置。翼型横断面29取自离叶根20大约0.85叶片纵轴线长度的位置。翼型横断面39取自离叶根20大约0.76叶片纵轴线长度的位置。与此类同，横断面57取自离叶根20大约0.53叶片纵轴线长度的位置，横断面85取自离叶根20大约0.45叶片纵轴线长度的位置，横断面136取自离叶根20大约0.29叶片纵轴线长度的位置，横断面206取自离叶根20大约0.23叶片纵轴线长度的位置。当然，可以理解，当翼型断面的弦被表示为共同的长度时，有关叶片坡度的结构考虑就表明了翼型断面的相对尺寸，因而，本发明将不规定各翼型断面间的比尺寸关系。
图1中所示各翼型断面间的叶片横断面按在该技术中熟知那种方式可由一连接任何二相邻翼型形状间的相应部分的过渡面来决定，当然，翼型横断面按该技术中熟知的方式可相互变换角度，以便对叶片输入有效的阻力，从而形成由空气动力性能要求所确定的变化的叶片攻角。
下列表格列举出本发明叶片实施例的大量翼型断面的精确的无因次坐标。X/C值是叶片弦长线上的无因次位置。 Y/C上是自弦长线到叶片负压面上各点的无因次高度。Y/C下是自弦长线到叶片压力面上各点的无因次高度。t/C值是自弦长线到各翼型断面中线的弯曲部分(即弧高)的无因次高度。下面叙述的特殊翼型断面形状表示在图4中。
 HS202翼型             h/b＝.023             23翼型断面
                厚度                            弧高
    上                     下
    X/C                     Y/C           X/C       t/C0.0000000 0.0000000    0.0000000 0.0000000    0.000010  0.00.0000080 0.0000209    0.0000140-0.0000159    0.000021  0.0000020.0005594 0.0006793    0.0007288-0.0004493    0.000654  0.0000920.0010783 0.0010084    0.0013101-0.0006033    0.001204  0.0001620.0021049 0.0015115    0.0024139-0.0007884    0.002269  0.0002890.0031216 0.0019351    0.0034836-0.0009220    0.003312  0.0004050.0051403 0.0026582    0.0055756-0.0011259    0.005367  0.0006130.0076519 0.0034234    0.0081490-0.0013111    0.007909  0.0008450.0101592 0.0040879    0.0107026-0.0014504    0.010439  0.0010550.0201769 0.0062235    0.0208485-0.0017597    0.020519  0.0017850.0301895 0.0079187    0.0309555-0.0018427    0.030577  0.0024300.0402022 0.0093762    0.0410505-0.0017749    0.040629  0.0030400.0602284 0.0119039    0.0612155-0.0013390    0.060721  0.0042250.0702405 0.0130500    0.0712849-0.0010208    0.070760  0.0048110.0802512 0.0141429    0.0813419-0.0006585    0.080792  0.0053930.0902581 0.0151953    0.0913826-0.0002676    0.090814  0.0059700.1002631 0.0162093    0.1014092 0.0001386    0.100828  0.0065380.1102658 0.0171871    0.1114241 0.0005541    0.110835  0.0070950.1202673 0.0181287    0.1214342 0.0009697    0.120839  0.0076380.1302695 0.0190370    0.1314436 0.0013887    0.130843  0.0081690.1402709 0.0199175    0.1414498 0.0018095    0.140845  0.0036890.1602683 0.0215871    0.1614357 0.0026443    0.160833  0.0096910.1702647 0.0223794    0.1714128 0.0030552    0.170818  0.0101720.1802581 0.0231354    0.1813751 0.0034544    0.180794  0.0106340.1902500 0.0238550    0.1913247 0.0038370    0.190763  0.0110750.2002393 0.0245356    0.2012631 0.0042016    0.200725  0.0114930.2102287 0.0251746    0.2111973 0.0045458    0.210685  0.0118860.2202177 0.0257691    0.2211299 0.0048635    0.220644  0.0122510.2302073 0.0263234    0.2310639 0.0051592    0.230604  0.0125910.2401963 0.0268395    0.2409984 0.0054363    0.240564  0.0129080.2601773 0.0277559    0.2608746 0.0059302    0.260489  0.0134720.2701692 0.0281631    0.2708163 0.0061511    0.270454  0.0137230.2801604 0.0285360    0.2807587 0.0063572    0.280419  0.0139550.2901522 0.0288764    0.2907026 0.0065470    0.290385  0.0141670.3001435 0.0291880    0.3006469 0.0067234    0.300351  0.0143620.3101359 0.0294687    0.3105941 0.0068849    0.310319  0.0145390.3201293 0.0297214    0.3205443 0.0070353    0.320289  0.0147000.3301225 0.0299464    0.3304966 0.0071723    0.330260  0.0148450.3401167 0.0301479    0.3404521 0.0073019    0.340233  0.0149770.3601056 0.0304759    0.3603683 0.0075279    0.360182  0.0151990.3701000 0.0306060    0.3703276 0.0076289    0.370157  0.0152910.3800947 0.0307117    0.3802865 0.0077222    0.380132  0.015371
 HS202翼型          h/b＝.023             23翼型断面
    厚度                                     弧高上                      下X/C                     Y/C         X/C       t/C0.3900894 0.0307962 0.3902453 0.0078107 0.390107  0.0154400.4000853 0.0308559 0.4002072 0.0078911 0.400084  0.0154960.4100807 0.0308924 0.4101713 0.0079666 0.410062  0.0155410.4200771 0.0309078 0.4201385 0.0080392 0.420042  0.0155760.4300733 0.0308998 0.4301059 0.0081073 0.430022  0.0156000.4400703 0.0308716 0.4400744 0.0081705 0.440003  0.0156140.4600642 0.0307557 0.4600138 0.0082893 0.459966  0.0156150.4700617 0.0306673 0.4699860 0.0083427 0.469949  0.0156010.4800593 0.0305600 0.4799600 0.0083950 0.479933  0.0155790.4900570 0.0304323 0.4899358 0.0084417 0.489918  0.0155470.5000556 0.0302892 0.4999129 0.0084878 0.499904  0.0155080.5100543 0.0301261 0.5098897 0.0085309 0.509890  0.0154600.5200523 0.0299466 0.5198653 0.0085724 0.519875  0.0154050.5300515 0.0297488 0.5298418 0.0086101 0.529861  0.0153410.5400496 0.0295323 0.5398173 0.0086466 0.539846  0.0152690.5600475 0.0290393 0.5597706 0.0087045 0.559818  0.0150950.5700464 0.0287654 0.5697474 0.0087294 0.569804  0.0149950.5800450 0.0284673 0.5797223 0.0087464 0.579789  0.0148830.5900437 0.0281515 0.5896932 0.0087631 0.589772  0.0147630.6000416 0.0278095 0.5996610 0.0087721 0.599753  0.0146300.6100394 0.0274421 0.6096347 0.0087715 0.609737  0.0144830.6200383 0.0270521 0.6196134 0.0087614 0.619724  0.0143230.6300371 0.0266384 0.6295922 0.0087399 0.629711  0.0141490.6400357 0.0262066 0.6395713 0.0087117 0.639698  0.0139650.6600331 0.0252822 0.6595331 0.0086139 0.659674  0.0135560.6700312 0.0247919 0.6695145 0.0085441 0.669662  0.0133320.6800290 0.0242822 0.6794944 0.0084587 0.679649  0.0130940.6900261 0.0237556 0.6894729 0.0083582 0.689635  0.0128430.7000241 0.0232062 0.6994545 0.0082375 0.699623  0.0125750.7100217 0.0226367 0.7094406 0.0080988 0.709613  0.0122920.7300182 0.0214357 0.7294273 0.0077676 0.729601  0.0116790.7400168 0.0208073 0.7394262 0.0075748 0.739598  0.0113510.7600135 0.0195107 0.7594308 0.0071491 0.759595  0.0106620.7700118 0.0188427 0.7694362 0.0069170 0.769595  0.0103020.7800108 0.0181630 0.7794446 0.0066735 0.779597  0.0099330.7900094 0.0174723 0.7894557 0.0064190 0.789600  0.0095550.8000089 0.0167708 0.7994699 0.0061553 0.799605  0.0091690.8100078 0.0160611 0.8094846 0.0058828 0.809610  0.0087760.8200063 0.0153459 0.8194997 0.0056049 0.819615  0.0083790.8400054 0.0138974 0.8395318 0.0050310 0.839627  0.0075700.8600040 0.0124230 0.8595644 0.0044281 0.859639  0.0067390.8700042 0.0116775 0.8695818 0.0041153 0.869646  0.0063160.8800043 0.0109249 0.8795993 0.0037927 0.879653  0.0058860.8900045 0.0101664 0.8896168 0.0034610 0.889660  0.0054500.9000038 0.0094014 0.8996331 0.0031179 0.899666  0.005007
HS202翼型            h/b＝.023         23翼型断面
  厚度                                    弧高
 上                     下
 X/C                     Y/C          X/C       t/C0.9100039 0.0086277  0.9096506 0.0027644  0.909673  0.0045560.9200028 0.0078451  0.9196673 0.0023987  0.919679  0.0040970.9300023 0.0070487  0.9296854 0.0020199  0.929686  0.0036270.9400008 0.0062430  0.9397027 0.0016284  0.939692  0.0031480.9599964 0.0045914  0.9597381 0.0008015  0.959704  0.0021570.9699947 0.0037461  0.9697575 0.0003617  0.969711  0.0016430.9799945 0.0028895  0.9797792-0.0001010  0.979720  0.0011150.9899958 0.0020207  0.9898036-0.0005904  0.989731  0.0005720.0000000 0.0011466  1.0000000-0.0011206  0.999745  0.000014
HS303翼型           h/b＝.029        20翼型断面
  厚度                                  弧高
  上                   下
  X/C                  Y/C          X/C       t/C0.0000000 0.0000000 0.0000000 0.0000000 0.000010  0.00.0000064 0.0000261 0.0000156-0.0000201 0.000021  0.0000030.0005161 0.0008460 0.0007721-0.0005700 0.000654  0.0001380.0010190 0.0012545 0.0013693-0.0007684 0.001204  0.0002430.0020259 0.0018781 0.0024927-0.0010100 0.002269  0.0004340.0030290 0.0024026 0.0035759-0.0011865 0.003312  0.0006080.0050288 0.0032974 0.0056866-0.0014592 0.005367  0.0009190.0075244 0.0042443 0.0082758-0.0017100 0.007909  0.0012670.0100197 0.0050659 0.0108412-0.0019015 0.010439  0.0015820.0200040 0.0077032 0.0210196-0.0023464 0.020519  0.0026780.0299919 0.0097911 0.0311505-0.0025001 0.030577  0.0036450.0399831 0.0115815 0.0412660-0.0024603 0.040629  0.0045600.0599730 0.0146768 0.0614657-0.0019991 0.060721  0.0063380.0699699 0.0160765 0.0715494-0.0016426 0.070760  0.0072160.0799682 0.0174102 0.0816179-0.0012300 0.080792  0.0080890.0899660 0.0186926 0.0916668-0.0007801 0.090814  0.0089550.0999651 0.0199280 0.1016985-0.0003113 0.100828  0.0098070.1099641 0.0211192 0.1117162 0.0001697 0.110835  0.0106430.1199631 0.0222645 0.1217279 0.0006526 0.120839  0.0114570.1299629 0.0233697 0.1317388 0.0011397 0.130843  0.0122530.1399627 0.0244407 0.1417459 0.0016309 0.140842  0.0130340.1599622 0.0264697 0.1617278 0.0026063 0.160833  0.0145360.1699631 0.0274328 0.1716996 0.0030874 0.170818  0.0152580.1799639 0.0283517 0.1816536 0.0035547 0.180794  0.0159510.1899663 0.0292255 0.1915919 0.0040030 0.190763  0.0166120.1999682 0.0300528 0.2015169 0.0044299 0.200725  0.0172390.2099712 0.0308300 0.2114365 0.0048329 0.210685  0.0178290.2199742 0.0315521 0.2213542 0.0052049 0.220644  0.0183760.2299777 0.0322259 0.2312735 0.0055513 0.230604  0.0188860.2399803 0.0328532 0.2411936 0.0058761 0.240564  0.0193620.2599873 0.0339668 0.2610422 0.0064548 0.260489  0.0202080.2699915 0.0344617 0.2709706 0.0067139 0.270454  0.0205850.2799948 0.0349143 0.2809001 0.0069555 0.280419  0.0209320.2899984 0.0353280 0.2908313 0.0071779 0.290385  0.0212500.3000014 0.0357063 0.3007630 0.0073856 0.300351  0.0215430.3100050 0.0360468 0.3106981 0.0075752 0.310319  0.0218080.3200091 0.0363535 0.3206368 0.0077526 0.320289  0.0220500.3300123 0.0366261 0.3305783 0.0079140 0.330260  0.0222670.3400160 0.0368710 0.3405234 0.0080672 0.340233  0.0224660.3600227 0.0372673 0.3604201 0.0083350 0.360182  0.0227980.3700256 0.0374248 0.3703699 0.0084555 0.370157  0.0229370.3800291 0.0375518 0.3803192 0.0085666 0.380132  0.023056
 HS303翼型           h/b＝.029          29翼型断面
    厚度                                   弧高
上                      下
X/C                     Y/C           X/C       t/C0.3900325 0.0376533  0.3902684 0.0086731  0.390107  0.0231600.4000367 0.0377240  0.4002211 0.0087704  0.400084  0.0232440.4100396 0.0377664  0.4101769 0.0088620  0.410062  0.0233110.4200432 0.0377838  0.4201360 0.0089506  0.420042  0.0233640.4300463 0.0377721  0.4300957 0.0090344  0.430022  0.0234000.4400502 0.0377349  0.4400564 0.0091136  0.440003  0.0234210.4600573 0.0375888  0.4599810 0.0092636  0.459966  0.0234230.4700608 0.0374786  0.4699461 0.0093319  0.469949  0.0234020.4800640 0.0373454  0.4799138 0.0093990  0.479933  0.0233690.4900669 0.0371865  0.4898835 0.0094599  0.489918  0.0233200.5000705 0.0370085  0.4998546 0.0095219  0.499904  0.0232620.5100745 0.0368071  0.5098255 0.0095793  0.509890  0.0231900.5200778 0.0365847  0.5197949 0.0096357  0.519875  0.0231070.5300823 0.0363400  0.5297651 0.0096884  0.529861  0.0230110.5400859 0.0360726  0.5397343 0.0097397  0.539846  0.0229030.5600943 0.0354638  0.5596754 0.0098264  0.559818  0.0226420.5700984 0.0351266  0.5696460 0.0098656  0.569804  0.0224930.5801026 0.0347582  0.5796145 0.0098959  0.579789  0.0223240.5901080 0.0343694  0.5895778 0.0099266  0.589772  0.0221450.6001132 0.0339483  0.5995375 0.0099477  0.599753  0.0219460.6101168 0.0334962  0.6095045 0.0099578  0.609737  0.0217240.6201204 0.0330164  0.6194776 0.0099575  0.619724  0.0214840.6301239 0.0325077  0.6294510 0.0099441  0.629711  0.0212230.6401271 0.0319770  0.6394246 0.0099227  0.639698  0.0209470.6601328 0.0308426  0.6593763 0.0098310  0.659674  0.0203340.6701347 0.0302413  0.6693531 0.0097602  0.669662  0.0199980.6801367 0.0296168  0.6793279 0.0096706  0.679649  0.0196410.6901382 0.0289718  0.6893011 0.0095635  0.689635  0.0192650.7001399 0.0282990  0.6992782 0.0094322  0.699623  0.0188630.7101399 0.0276018  0.7092609 0.0092792  0.709613  0.0184380.7301382 0.0261347  0.7292441 0.0089081  0.729601  0.0175190.7401362 0.0253668  0.7392428 0.0086898  0.739598  0.0170260.7601300 0.0237840  0.7592485 0.0082064  0.759595  0.0159930.7701260 0.0229693  0.7692553 0.0079409  0.769595  0.0154530.7801222 0.0221403  0.7792658 0.0076618  0.779597  0.0148990.7901173 0.0212982  0.7892795 0.0073697  0.789600  0.0143320.8001125 0.0204432  0.7992971 0.0070666  0.799605  0.0137530.8101068 0.0195789  0.8093154 0.0067527  0.809610  0.0131640.8201008 0.0187071  0.8193342 0.0064323  0.819615  0.0125680.8400904 0.0169428  0.8393741 0.0067703  0.839627  0.0113550.8600795 0.0151474  0.8594145 0.0050734  0.859639  0.0101090.8700749 0.0142393  0.8694360 0.0047113  0.869646  0.009474
   HS303翼型             h/b＝.029         29翼型断面
               厚度                          弧高
     上                    下
     X/C                   Y/C          X/C       t/C0.8800700 0.0133233   0.8794575 0.0043372   0.879653  0.0088290.8900653 0.0124003   0.8894789 0.0039519   0.889660  0.0081750.9000598 0.0114689   0.8994992 0.0035532   0.899666  0.0075100.9100550 0.0105282   0.9095206 0.0031417   0.909673  0.0068340.9200489 0.0095762   0.9195416 0.0027155   0.919679  0.0061450.9300433 0.0086085   0.9295639 0.0022730   0.929686  0.0054400.9400364 0.0076287   0.9395856 0.0018166   0.939692  0.0047220.9600210 0.0056219   0.9596304 0.0008490   0.959704  0.0032350.9700135 0.0045956   0.9696547 0.0003331   0.969711  0.0024640.9800072 0.0035563   0.9796817-0.0002099   0.979720  0.0016730.9900023 0.0025025   0.9897115-0.0007863   0.989731  0.0008581.0000000 0.0014427   1.0000000-0.0014168   0.999745  0.000021
                   39翼型剖面
            厚度                           弧高
      上                 下
      X/C               Y/C         X/C      t/C0.0000000 0.0000000  0.0000000 0.0000000  0.000010  0.00.0000049 0.0000341  0.0000171-0.0000281  0.000021  0.0000030.0004720 0.0010901  0.0008162-0.0008141  0.000654  0.0001380.0009586 0.0016032  0.0014296-0.0011171  0.001204  0.0002000.0019454 0.0023759  0.0025731-0.0015078  0.002269  0.0004300.0029346 0.0030210  0.0036700-0.0018048  0.003312  0.0006080.0049152 0.0041171  0.0057998-0.0022790  0.005367  0.0009190.0073945 0.0052705  0.0084049-0.0027363  0.007909  0.0012670.0098777 0.0062667  0.0109823-0.0031024  0.010439  0.0015820.0198281 0.0094354  9.0211937-0.0040789  0.020519  0.0026780.0297908 0.0119100  0.0313488-0.0046193  0.030577  0.0036450.0397602 0.0140019  0.0414854-0.0048810  0.040629  0.0045600.0597130 0.0175510  0.0617203-0.0048738  0.060721  0.0063380.0696945 0.0191306  0.0718186-0.0046973  0.070760  0.0072160.0796803 0.0206233  0.0818987-0.0044438  0.080792  0.0089390.0896689 0.0220489  0.0919559-0.0041372  0.090814  0.0089550.0996618 0.0234164  0.1019928-0.0038005  0.100828  0.0098070.1096572 0.0247303  0.1120133-0.0034423  0.110835  0.0106430.1196536 0.0259895  0.1220268-0.0030733  0.120839  0.0114570.1296510 0.0272013  0.1320392-0.0026930  0.130843  0.0122530.1396491 0.0283721  0.1420470-0.0023017  0.140845  0.0130340.1596507 0.0305827  0.1620251-0.0015080  0.160833  0.0145360.1696562 0.0316288  0.1719915-0.0011099  0.170818  0.0152580.1796647 0.0326259  0.1819369-0.0007209  0.180794  0.0159510.1896777 0.0335727  0.1918638-0.0003456  0.190763  0.0166120.1996924 0.0344690  0.2017750 0.0000122  0.200725  0.0172390.2097095 0.0353109  0.2116798 0.0003505  0.210685  0.0178290.2197266 0.0360932  0.2215824 0.0006622  0.220644  0.0183760.2297441 0.0368232  0.2314867 0.0009523  0.230604  0.0188860.2397606 0.0375028  0.2413922 0.0012248  0.240564  0.0193620.2597939 0.0387085  0.2612125 0.0017112  0.260489  0.0202080.2698109 0.0392440  0.2711275 0.0019299  0.270454  0.0205850.2798264 0.0397331  0.2810437 0.0021348  0.280419  0.0209320.2898420 0.0401799  0.2909620 0.0023241  0.290385  0.0212500.2998568 0.0405874  0.3008811 0.0025026  0.300351  0.0215430.3098719 0.0409537  0.3108039 0.0026664  0.310319  0.0218080.3198867 0.0412828  0.3207309 0.0028213  0.320289  0.0220500.3299001 0.0415747  0.3306613 0.0029635  0.330260  0.0222670.3399135 0.0418355  0.3405959 0.0031007  0.340233  0.0224660.3599383 0.0422538  0.3604727 0.0033465  0.360182  0.0227980.3699499 0.0424175  0.3704129 0.0034608  0.370157  0.0229370.3799623 0.0425472  0.3803526 0.0035691  0.380132  0.023056
                    39翼型断面
             厚度                           弧高
     上                   下
     X/C                 Y/C          X/C      t/C0.3899747  0.0426480  0.3902919  0.0036763  0.390107  0.0231600.3999873  0.0427139  0.4002353  0.0037784  0.400084  0.0232440.4099979  0.0427479  0.4101825  0.0038785  0.410062  0.0233110.4200087  0.0427530  0.4201335  0.0039794  0.420042  0.0233640.4300188  0.0427252  0.4300852  0.0040792  0.430022  0.0234000.4400298  0.0426675  0.4400381  0.0041789  0.440003  0.0234210.4600501  0.0424704  0.4599475  0.0043799  0.459966  0.0234230.4700599  0.0423292  0.4699057  0.0044791  0.469949  0.0234020.4800687  0.0421621  0.4798667  0.0045802  0.479933  0.0233690.4900768  0.0419652  0.4898304  0.0046791  0.489918  0.0233200.5000857  0.0417456  0.4997954  0.0047828  0.499904  0.0232620.5100949  0.0414999  0.5097601  0.0048844  0.509890  0.0231900.5201036  0.0412294  0.5197232  0.0049889  0.519875  0.0231070.5301136  0.0409331  0 5296870  0.0050932  0.529861  0.0230110.5401226  0.0406111  0.5396500  0.0051991  0.539846  0.0229030.5601419  0.0398824  0.5595785  0.0054058  0.559818  0.0226420.5701513  0.0394803  0.5695429  0.0055098  0.569804  0.0224930.5801612  0.0390429  0.5795047  0.0056093  0.579789  0.0223240.5901735  0.0385818  0.5894604  0.0057123  0.589772  0.0221450.6001860  0.0380847  0.5994118  0.0058094  0.599753  0.0219450.6101955  0.0375531  0.6093721  0.0058990  0.609737  0.0217240.6202039  0.0369907  0.6193395  0.0059813  0.619724  0.0214840.6302121  0.0363964  0.6293072  0.0060536  0.629711  0.0212230.6402199  0.0357781  0.6392753  0.0061198  0.639698  0.0209470.6602342  0.0344637  0.6592168  0.0062081  0.659674  0.0203340.6702400  0.0337710  0.6691888  0.0062287  0.669662  0.0199980.6802461  0.0330546  0.6791585  0.0062311  0.679649  0.0196410.6902521  0.0323168  0.6891264  0.0062168  0.689635  0.0192650.7002576  0.0315504  0.6990988  0.0061791  0.699623  0.0188630.7102602  0.0307594  0.7090781  0.0061200  0.709613  0.0184380.7302602  0.0291037  0.7290578  0.0059375  0.729601  0.0175190.7402577  0.0282411  0.7390561  0.0058141  0.739598  0.0170260.7602484  0.0264685  0.7590631  0.0055205  0.759595  0.0159930.7702422  0.0255592  0.7690713  0.0053497  0.769595  0.0154530.7802355  0.0246354  0.7790838  0.0051654  0.779597  0.0148990.7902269  0.0236986  0.7891003  0.0049680  0.789600  0.0143320.8002178  0.0227487  0.7991213  0.0047599  0.799605  0.0137530.8102075  0.0217895  0.8091434  0.0045409  0.809610  0.0131640.8201968  0.0208228  0.8191659  0.0043156  0.819615  0.0125680.8401769  0.0188684  0.8392137  0.0038437  0.839627  0.0113550.8601563  0.0168837  0.8592619  0.0033362  0.859639  0.0101090.8701466  0.0158813  0.8692875  0.0030684  0.869646  0.009474
                                        0.879653  0.008829
                     39翼型断面
               厚度                            弧高
     上                   下
     X/C                  Y/C         X/C      t/C0.8801368  0.0148720  0.8793131 0.00278770.8901273  0.0138565  0.8893386 0.0024950   0.889660  0.0081750.9001167  0.0128329  0.8993630 0.0021885   0.899666  0.0075100.9101071  0.0118011  0.9093885 0.0018682   0.909673  0.0068340.9200958  0.0107584  0.9194136 0.0015327   0.919679  0.0061450.9300850  0.0097006  0.9294403 0.0011805   0.929686  0.0054400.9400727  0.0086300  0.9394665 0.0008148   0.939692  0.0047220.9600461  0.0064443  0.9595208 0.0000263   0.959704  0.0032350.9700327  0.0053303  0.9695501-0.0004018   0.969711  0.0024640.9800202  0.0042054  0.9795824-0.0008591   0.979720  0.0016730.9900089  0.0030697  0.9896176-0.0013535   0.989731  0.0008581.0000000  0.0019330  1.0000000-0.0019101   0.999745  0.000021
                    57翼型断面
      厚度                                    弧高
      上                下
      X/C              Y/C             X/C     t/C0.0000000  0.0000000  0.0000000 0.0000000    0.000010 0.00.0000021  0.0000484  0.0000199-0.0000424    0.000021 0.0000030.0003926  0.0015291  0.0008955-0.0012531    0.000654 0.0001380.0008499  0.0022307  0.0015382-0.0017447    0.001204 0.0002430.0018004  0.0032717  0.0027177-0.0024036    0.002269 0.0004340.0027647  0.0041338  0.0038393-0.0029178    0.003312 0.0006080.0047107  0.0055932  0.0060035-0.0037552    0.005367 0.0009190.0071608  0.0071181  0.0086375-0.0045840    0.007909 0.0012670.0096219  0.0084285  0.0112363-0.0052645    0.010439 0.0015820.0195114  0.0125532  0.0215072-0.0071971    0.020519 0.0026780.0294290  0.0157229  0.0317058-0.0084328    0.030577 0.0036450.0393590  0.0183571  0.0418801-0.0092370    0.040629 0.0045600.0592451  0.0227245  0.0621786-0.0100483    0.060721 0.0063380.0691988  0.0246276  0.0723031-0.0101954    0.070760 0.0072160.0791621  0.0264055  0.0824041-0.0102273    0.080792 0.0080890.0891339  0.0280899  0.0924764-0.0101797    0.090814 0.0089550.0991161  0.0296942  0.1025225-0.0100800    0.100828 0.0098070.1091049  0.0312285  0.1125481-0.0099422    0.110835 0.0106430.1190964  0.0326940  0.1225648-0.0097797    0.120839 0.0114570.1290897  0.0340972  0.1325798-0.0095908    0.130345 0.0122530.1390848  0.0354471  0.1425890-0.0093787    0.140845 0.0130340.1590902  0.0379853  0.1625601-0.0089129    0.160833 0.0145360.1691040  0.0391799  0.1725166-0.0086635    0.170818 0.0152580.1791260  0.0403183  0.1824468-0.0084159    0.180794 0.0159510.1891581  0.0413972  0.1923530-0.0081727    0.190763 0.0166120.1991960  0.0424173  0.2022395-0.0079389    0.200725 0.0172390.2092381  0.0433748  0.2121176-0.0077163    0.210685 0.0178290.2192810  0.0442660  0.2219930-0.0075135    0.220644 0.0183760.2293239  0.0450967  0.2318704-0.0073242    0.230604 0.0188860.2393650  0.0458709  0.2417495-0.0071464    0.240564 0.0193620.2594460  0.0472427  0.2615191-0.0068261    0.260489 0.0202080.2694856  0.0478502  0.2714097-0.0066796    0.270454 0.0205850.2795233  0.0484066  0.2813023-0.0065420    0.280419 0.0209320.2895606  0.0489116  0.2911973-0.0064110    0.290385 0.0212500.2995966  0.0493722  0.3010936-0.0062856    0.300351 0.0215430.3096322  0.0497844  0.3109943-0.0061678    0.310319 0.0218080.3196664  0.0501545  0.3209003-0.0060539    0.320289 0.0220500.3296983  0.0504810  0.3308107-0.0059464    0.330260 0.0222670.3397291  0.0507698  0.3407263-0.0058372    0.340233 0.0224660.3597864  0.0512284  0.3605675-0.0056317    0.360182 0.0227980.3698138  0.0514025  0.3704904-0.0055279    0.370157 0.0229370.3798421  0.0515372  0.3804123-0.0054245    0.380132 0.023056
                    57翼型断面
             厚度                              弧高
     上                 下
     X/C               Y/C           X/C       t/C0.3903341-0.0053167 0.390107  0.0231600.4002607-0.0052067 0.400084  0.023244     0.3898705  0.05163730.4101925-0.0050914 0.410062  0.023311     0.3998983  0.05169530.4201289-0.0049671 0.420042  0.023364     0.4099228  0.05171410.4300664-0.0048383 0.430022  0.023400     0.4199465  0.05169580.4400051-0.0047032 0.440003  0.023421     0.4299694  0.05163900.4598874-0.0044102 0.459966  0.023423     0.4399929  0.05154580.4698328-0.0042547 0.469949  0.023402     0.4600374  0.05125690.4797820-0.0040918 0.479933  0.023369     0.4700581  0.05105930.4897346-0.0039247 0.489918  0.023320     0.4800771  0.05083040.4996887-0.0037472 0.499904  0.023262     0.4900949  0.05056530.5096424-0.0035646 0.509890  0.023190     0.5001130  0.05027190.5195942-0.0033736 0.519875  0.023107     0.5101317  0.04994520.5295466-0.0031765 0.529861  0.023011     0.5201501  0.04958830.5394980-0.0029723 0.539846  0.022903     0.5301700  0.04919910.5594041-0.0025510 0.559818  0.022642     0.5401888  0.04877890.5693573-0.0023289 0.569804  0.022493     0.5602274  0.04783560.5793072-0.0021065 0.579789  0.022324     0.5702464  0.04731550.5892491-0.0018733 0.589772  0.022145     0.5802667  0.04675510.5991856-0.0016385 0.599753  0.021945     0.5902911  0.04616390.6091337-0.0014052-0.609737  0.021724     0.6003169  0.04552920.6190909-0.0011742 0.619724  0.021484     0.6103370  0.04485380.6290484-0.0009487 0.629711  0.021223     0.6203542  0.04414280.6390065-0.0007252 0.639698  0.020947     0.6303709  0.04339530.6589297-0.0003125 0.659674  0.020334     0.6403872  0.04261980.6688931-0.0001271 0.669662  0.019998     0.6604164  0.04098100.6788537 0.0000415 0.679649  0.019641     0.6704294  0.04012370.6888119 0.0001941 0.689635  0.019265     0.6804430  0.03924110.6987758 0.0003241 0.699623  0.018863     0.6904570  0.03833640.7087491 0.0004336 0.709613  0.018438     0.7004694  0.03740240.7287225 0.0005919 0.729601  0.017519     0.7104765  0.03644290.7387202 0.0006389 0.739598  0.017026     0.7304797  0.03444660.7587293 0.0006861 0.759595  0.015993     0.7404761  0.03341360.7687401 0.0006868 0.769595  0.015453     0.7604616  0.03130040.7787563 0.0006730 0.779597  0.014899     0.7704512  0.03021960.7887776 0.0006453 0.789600  0.014332     0.7804392  0.02912540.7988048 0.0006079 0.799605  0.013753     0.7904242  0.02801910.8088336 0.0005608 0.809610  0.013164     0.8004074  0.02689840.8188631 0.0005066 0.819615  0.012568     0.8103887  0.02576750.8389248 0.0005768 0.839627  0.011355     0.8203695  0.02462970.8589874 0.0002102 0.859639  0.018109     0.8403324  0.0223335
                0.869646  0.009474     0.8602943  0.0200080
                    57翼型断面
                厚度                           弧高
     上                    下
     X/C                   Y/C           X/C       t/C0.8702759  0.0188367  0.8690202 0.0001116    0.879653  0.0088290.8802571  0.0176592  0.8790532-0.0000009    0.889660  0.0081750.8902386  0.0164768  0.8890860-0.0001265    0.899666  0.0075100.9002193  0.0152885  0.8991176-0.0002683    0.909673  0.0068340.9102007  0.0140924  0.9091504-0.0004242    0.919679  0.0061450.9201802  0.0128868  0.9191832-0.0005966    0.929686  0.0054400.9301599  0.0116654  0.9292178-0.0007852    0.939692  0.0047220.9401379  0.0104323  0.9392521-0.0009882    0.959704  0.0032350.9600911  0.0079252  0.9593233-0.0014551    0.969711  0.0024640.9700670  0.0066525  0.9693618-0.0017244    0.979720  0.0016730.9800434  0.0053728  0.9794037-0.0020267    0.989731  0.0008580.9900205  0.0040897  0.9894488-0.0023737    0.999745  0.0000211.0000000  0.0028162  1.0000000-0.0027956
                            85翼型断面
                  厚度                          弧高
      上                     下
      X/C                    Y/C            X/C       t/C0.0000000   0.0000707    0.0000000 0.0000707    0.000010  0.00 0002713   0.0022125    0.0000023 0.0000000    0.000021  0.0000030.0006830   0.0032069    0.0000267-0.0000647    0.000654  0.0001380.0015773   0.0046644    0.0010213-0.0019365    0.001204  0.0002430.0025027   0.0058657    0.0017094-0.0027209    0.002269  0.0004340.0043949   0.0078880    0.0029448-0.0037965    0.003312  0.0006080.0067995   0.0099910    0.0041052-0.0046499    0.005367  0.0009190.0092266   0.0117901    0.0063225-0.0060502    0.007909  0.0012670.0190212   0.0174009    0.0090013-0.0074573    0.010439  0.0015820.0288684   0.0216536    0.0116337-0.0086264    0.020519  0.0026780.0387373   0.0251319    0.0219969-0.0120455    0.030577  0.0036450.0585195   0.0307705    0.0322634-0.0143644    0.040629  0.0045600.0684301   0.0331765    0.0424963-0.0160129    0.060721  0.0063380.0783583   0.0353982    0.0628936-0.0180959    0.070760  0.0072160.0883042   0.0374850    0.0730587-0.0187461    0.080792  0.0080890.0982695   0.0394587    0.0831922-0.0192221    0.090814  0.0089550.1082479   0.0413361    0.0932881-0.0195770    0.100828  0.0098070.1182320   0.0431211    0.1033486-0.0198468    0.110835  0.0106430.1282185   0.0448225    0.1133819-0.0200524    0.120839  0.0114570.1382090   0.0464515    0.1234035-0.0202097    0.130843  0.0122530.1582203   0.0494991    0.1334227-0.0203193    0.140845  0.0130340.1682470   0.0509250    0.1434340-0.0203864    0.160833  0.0145360.1782904   0.0522810    0.1633943-0.0204303    0.170818  0.0152580.1883521   0.0535658    0.1733354-0.0204125    0.180794  0.0159510.1984259   0.0547778    0.1832418-0.0203826    0.190763  0.0166120.2085070   0.0559169    0.1931158-0.0203455    0.200725  0.0172390.2185897   0.0569777    0.2029639-0.0203036    0.210685  0.0178290.2286720   0.0579652    0.2128005-0.0202628    0.220644  0.0183760.2387518   0.0588844    0.2226336-0.0202298    0.230604  0.0188860.2589065   0.0605162    0.2324690-0.0201974    0.240564  0.0193620.2689816   0.0612362    0.2423071-0.0201648    0.260489  0.0202080.2790536   0.0618947    0.2619978-0.0201047    0.270454  0.0205850.2891246   0.0624924    0.2718506-0.0200708    0.280419  0.0209320.2991937   0.0630347    0.2817063-0.0200354    0.290385  0.0212500.3092612   0.0635193    0.2915651-0.0199972    0.300351  0.0215430.3193257   0.0639531    0.3014258-0.0199535    0.310319  0.0218080.3293861   0.0643322    0.3112921-0.0199082    0.320289  0.0220500.3394439   0.0646657    0.3211654-0.0198580    0.330260  0.0222670.3595518   0.0651857    0.3310447-0.0198032    0.340233  0.0224660.3696036   0.0653774    0.3409307-0.0197388    0.360182  0.0227980.3796567   0.0655198    0.3607163-0.0195949    0.370157  0.0229370.3897101   0.0656178    0.3706124-0.0195086    0.380132  0.023056
                        85翼型断面
                 厚度                           弧高
      上                   下
      X/C                  Y/C            X/C       t/C0.3997614  0.0656633   0.3805070-0.0194129    0.390107  0.0231600.4098074  0.0656585   0.3904013-0.0193030    0.400084  0.0232440.4198514  0.0656049   0.4003018-0.0191805    0.410062  0.0233110.4298940  0.0655029   0.4102097-0.0190417    0.420042  0.0233640.4399371  0.0653535   0.4201234-0.0188822    0.430022  0.0234000.4600187  0.0649217   0.4300386-0.0187082    0.440003  0.0234210.4700568  0.0646377   0.4399552-0.0185167    0.459966  0.0234230.4800918  0.0643116   0.4597952-0.0180810    0.469949  0.0234020.4901242  0.0639414   0.4697208-0.0178390    0.479933  0.0233690.5001567  0.0635321   0.4796517-0.0175789    0.489918  0.0233200.5101902  0.0630807   0.4895870-0.0173067    0.499904  0.0232620.5202237  0.0625891   0.4995242-0.0170133    0.509890  0.0231900.5302589  0.0620557   0.5094606-0.0167059    0.519875  0.0231070.5402930  0.0614816   0.5193948-0.0163804    0.529861  0.0230110.5603617  0.0602035   0.5293294-0.0160388    0.539846  0.0229030.5703956  0.0595011   0.5392630-0.0156807    0.559818  0.0226420.5804319  0.0587492   0.5591340-0.0149245    0.569804  0.0224930.5904754  0.0579555   0.5690698-0.0145201    0.579789  0.0223240.6005218  0.0571070   0.5790012-0.0141062    0.589772  0.0221450.6105583  0.0562083   0.5889215-0.0136705    0.599753  0.0219450.6205889  0.0552660   0.5988349-0.0132219    0.609737  0.0217240.6306189  0.0542799   0.6087642-0.0127651    0.619724  0.0214840.6606482  0.0532590   0.6187053-0.0123028    0.629711  0.0212230.6607011  0.0511167   0.6286471-0.0118387    0.639698  0.0209470.6707248  0.0500026   0.6385896-0.0113697    0.659674  0.0203340.6807504  0.0488627   0.6584842-0.0104532    0.669662  0.0199980.6907768  0.0476995   0.6684343-0.0100111    0.679649  0.0196410.7007998  0.0465045   0.6783805-0.0095851    0.689635  0.0192650.7108140  0.0452819   0.6883237-0.0091738    0.699623  0.0188630.7308218  0.0427571   0.6982746-0.0087827    0.709613  0.0184380.7408168  0.0414590   0.7082382-0.0084101    0.729601  0.0175190.7607940  0.0388152   0.7282019-0.0077230    0.739598  0.0170260.7707772  0.0374689   0.7381986-0.0074108    0.759595  0.0159930.7807569  0.0361093   0.7582110-0.0068327    0.769595  0.0154530.7907315  0.0347372   0.7682257-0.0065663    0.779597  0.0148990.8007028  0.2333515   0.7782477-0.0063146    0.789600  0.0143320.8106714  0.0319553   0.7882768-0.0060764    0.799605  0.0137530.8206389  0.0305515   0.7983133-0.0058486    0.809□□ 0.0131640.8405750  0.0277225   0.8083525-0.0056303    0.81961□ 0.0125680.8605097  0.0248672   0.8183927-0.0054183    0.839627  0.011355
                      85翼型断面
                厚度                         弧高
     上                   下
     X/C        Y/C                     X/C       t/C0.8704774  0.0234329  0.8384762-0.0050150   0.859639  0.0101090.8804446  0.0219941  0.8585610-0.0046515   0.869646  0.0094740.8904123  0.0205528  0.8686051-0.0044871   0.879653  0.0088290.9003792  0.0191074  0.8786496-0.0043380   0.889660  0.0081750.9103467  0.0176563  0.8886937-0.0042047   0.899666  0.0075100.9203119  0.0161957  0.8987365-0.0040891   0.909673  0.0068340.9302769  0.0147212  0.9087807-0.0039898   0.919679  0.0061450.9402398  0.0132363  0.9188254-0.0039071   0.929686  0.0054400.9601615  0.0102273  0.9288722-0.0038425   0.939692  0.0047220.9701207  0.0087089  0.9389190-0.0037934   0.959704  0.0032350.9800799  0.0071895  0.9590168-0.0037580   0.969711  0.0024640.9900390  0.0056761  0.9690694-0.0037815   0.979720  0.0016731.0000000  0.0041885  0.9791260-0.0038439   0.989731  0.000058
                  0.9891867-0.0039603   0.999745  0.000221
                  1.0000000-0.0041632
                   138翼型断面
               厚度                           弧高
     上                    下
     X/C                   Y/C           X/C       t/C0.0000000  0.0001115  0.0000000 0.0001115    0.000010  0.00.0002460  0.0034410  0.0000033 0.0000000    0.000021  0.0000020.0006482  0.0049432  0.0000285-0.0001075    0.000654  0.0000920.0015309  0.0071066  0.0010484-0.0032570    0.001204  0.0001620.0024484  0.0088712  0.0017460-0.0046192    0.002269  0.0002890.0043297  0.0118222  0.0029931-0.0065287    0.003312  0.0004050.0067252  0.0148642  0.0041613-0.0080613    0.005367  0.0006130.0091454  0.0174502  0.0063893-0.0105964    0.007909  0.0008450.0189209  0.0254085  0.0090771-0.0131744    0.010439  0.0010550.0287540  0.0313142  0.0117162-0.0153405    0.020519  0.0017850.0386104  0.0360309  0.0220980-0.0218390    0.030577  0.0024300.0583714  0.0434031  0.0323781-0.0264548    0.040629  0.0030400.0682731  0.0464388  0.0426230-0.0299517    0.060721  0.0042250.0781942  0.0491827  0.0630404-0.0349543    0.070760  0.0048110.0881349  0.0517137  0.0732139-0.0368181    0.080792  0.0053930.0980967  0.0540771  0.0833540-0.0383982    0.090814  0.0059700.1080731  0.0562991  0.0934545-0.0397754    0.100828  0.0065380.1180558  0.0583935  0.1035179-0.0410029    0.110835  0.0070950.1280411  0.0603719  0.1135529-0.0421110    0.120839  0.0076380.1380306  0.0622476  0.1235754-0.0431196    0.130843  0.0081690.1580433  0.0657161  0.1335953-0.0440361    0.140845  0.0086890.1680726  0.0673200  0.1436071-0.0448720    0.160833  0.0096910.1781205  0.0688371  0.1635649-0.0463369    0.170818  0.0101720.1881884  0.0702684  0.1735029-0.0469789    0.180794  0.0106340.1982697  0.0716162  0.1834043-0.0475721    0.190763  0.0110750.2083588  0.0728803  0.1932716-0.0481215    0.200725  0.0114930.2184497  0.0740604  0.2031117-0.0486334    0.210685  0.0118860.2285401  0.0751587  0.2129397-0.0491115    0.220644  0.0122510.2386277  0.0761796  0.2227641-0.0495618    0.230604  0.0125910.2587975  0.0779907  0.2325910-0.0499802    0.240564  0.0129080.2688798  0.0787879  0.2424207-0.0503672    0.260489  0.0134720.2789589  0.0795139  0.2620953-0.0510504    0.270454  0.0137230.2890367  0.0801706  0.2719404-0.0513457    0.280419  0.0139550.2991124  0.0807620  0.2817885-0.0516078    0.290385  0.0141670.3091864  0.0812886  0.2916400-0.0518406    0.300351  0.0143620.3192570  0.0817537  0.3014935-0.0520420    0.310319  0.0145390.3293233  0.0821566  0.3113528-0.0522147    0.320289  0.0147000.3393866  0.0825025  0.3212194-0.0523578    0.330260  0.0148450.3595046  0.0830228  0.3310924-0.0524708    0.340233  0.0149770.3695613  0.0831988  0.3409725-0.0525527    0.360182  0.0151990.3796195  0.0833157  0.3607468-0.0526290    0.370157  0.0152910.3896780  0.0833738  0.3706375-0.0526210    0.380132  0.015371
                   136翼型断面
              厚度                        弧高
     上                   下
     X/C                   Y/C       X/C       t/C0.3997341 0.0833673  0.3805265-0.0525780 0.390107  0.0154400.4097844 0.0832967  0.3904153-0.0524982 0.400084  0.0154960.4198324 0.0831622  0.4003105-0.0523797 0.410062  0.0155410.4298790 0.0829651  0.4102134-0.0522190 0.420042  0.0155760.4399260 0.0827057  0.4201226-0.0520145 0.430022  0.0156000.4600154 0.0820126  0.4300333-0.0517694 0.440003  0.0156140.4700568 0.0815789  0.4399455-0.0514820 0.459966  0.0156150.4800950 0.0810882  0.4597768-0.0507869 0.469949  0.0156010.4901304 0.0805421  0.4696985-0.0503812 0.479933  0.0155790.5001659 0.0799407  0.4796256-0.0499345 0.489918  0.0155470.5102024 0.0792867  0.4895574-0.0494525 0.499904  0.0155080.5202389 0.0785788  0.4994913-0.0489290 0.509890  0.0154600.5302772 0.0778155  0.5094240-0.0483710 0.519875  0.0154050.5403145 0.0769984  0.5193547-0.0477731 0.529861  0.0153410.5603891 0.0751979  0.5292857-0.0471378 0.539846  0.0152690.5704260 0.0742138  0.5392157-0.0464646 0.559818  0.0150950.5804656 0.0731695  0.5590796-0.0450121 0.569804  0.0149950.5905130 0.0720673  0.5690119-0.0442279 0.579789  0.0148830.6005636 0.0708989  0.5789396-0.0434076 0.589772  0.0147630.6106034 0.0696691  0.5888554-0.0425454 0.599753  0.0146300.6206368 0.0683867  0.5987642-0.0416430 0.609737  0.0144830.6306694 0.0670535  0.6086895-0.0407072-0.619724  0.0143230.6407014 0.0656786  0.6186274-0.0397447 0.629711  0.0141490.6607590 0.0628266  0.6285660-0.0387594 0.639698  0.0139650.6707851 0.0613596  0.6385054-0.0377525 0.659674  0.0135560.6808130 0.0598707  0.6583942-0.0357183 0.669662  0.0133320.6908420 0.0583623  0.6683415-0.0346993 0.679649  0.0130940.7008672 0.0568272  0.6782848-0.0336863 0.689635  0.0128430.7108828 0.0552698  0.6882250-0.0326798 0.699623  0.0125750.7308918 0.0520906  0.6981731-0.0316806 0.709613  0.0122920.7408863 0.0504752  0.7081348-0.0306892 0.729601  0.0116790.7608618 0.0472100  0.7280964-0.0287359 0.739598  0.0113510.7708437 0.0455610  0.7380930-0.0277763 0.759595  0.0106620.7808218 0.0439032  0.7581059-0.0258889 0.769595  0.0103020.7907945 0.0422365  0.7681214-0.0249599 0.779597  0.0099330.8007632 0.0405587  0.7781445-0.0240399 0.789600  0.0095550.8107292 0.0388741  0.7881752-0.0231291 0.799605  0.0091690.8206941 0.0371843  0.7982137-0.0222232 0.809610  0.0087760.8406247 0.0337884  0.8082549-0.0213245 0.819615  0.0083790.8605539 0.0303814  0.8182973-0.0204286 0.839627  0.0075700.8705187 0.0286784  0.8383852-0.0186505 0.859639  0.0067390.8804832 0.0269775  0.8584745-0.0169053 0.869646  0.006316
                   136翼型断面
              Thickness
                厚度                             弧高
      上                    下
      X/C                   Y/C           X/C       t/C0.8904480 0.0252810    0.8685209-0.0160481    0.879653  0.0058860.9004122 0.0235884    0.8785676-0.0152071    0.889660  0.0054500.9103768 0.0218967    0.8886141-0.0143825    0.899666  0.0050070.9203391 0.0202029    0.8986592-0.0135758    0.909673  0.0045560.9303011 0.0185009    0.9087057-0.0127860    0.919679  0.0040970.9402610 0.0167938    0.9187527-0.0120100    0.929686  0.0036270.9601762 0.0133653    0.9288020-0.0112479    0.939692  0.0031480.9701322 0.0116545    0.9388514-0.0104987    0.959704  0.0021570.9800878 0.0099600    0.9589546-0.0090519    0.969711  0.0016430.9900432 0.0082977    0.9690100-0.0083689    0.979720  0.0011151.0000000 0.0066964    0.9790696-0.0077303    0.989731  0.000572
                   0.9891334-0.0071539    0.999745  0.000014
                   1.0000000-0.0066338
                 206翼型断面
                 厚度                            弧高
      上                     下
      X/C                    Y/C            X/C       t/C0.0000000   0.0001677    0.0000000 0.0001677    0.000010  0.00.0000468   0.0051636    0.0000106 0.0000000    0.000021  0.0000020.0003730   0.0074026    0.0000432-0.0001637    0.000654  0.0000920.0011617   0.0106133    0.0012619-0.0049797    0.001204  0.0001620.0020145   0.0132258    0.0020354-0.0070787    0.002269  0.0002890.0038062   0.0175877    0.0033760-0.0100355    0.003312  0.0004050.0061259   0.0220759    0.0046084-0.0124161    0.005367  0.0006130.0084894   0.0258838    0.0069252-0.0163621    0.007909  0.0008450.0181069   0.0375591    0.0096877-0.0203865    0.010439  0.0010550.0278227   0.0461715    0.0123825-0.0237745    0.020519  0.0017850.0375770   0.0530004    0.0229180-0.0339903    0.030577  0.0024300.0571650   0.0635549    0.0333111-0.0413132    0.040629  0.0030400.0669947   0.0678506    0.0436537-0.0469226    0.060721  0.0042250.0768573   0.0717061    0.0642356-0.0551079    0.070760  0.0048110.0867547   0.0752429    0.0744768-0.0582321    0.080792  0.0053930.0966884   0.0785289    0.0846712-0.0609239    0.090814  0.0059700.1066476   0.0816072    0.0948108-0.0633071    0.100828  0.0065380.1166179   0.0845004    0.1048982-0.0654575    0.110835  0.0070950.1265921   0.0872232    0.1149459-0.0674222    0.120839  0.0076380.1365739   0.0897958    0.1249766-0.0692298    0.130843  0.0081690.1565964   0.0945334    0.1350034-0.0708909    0.140845  0.0086890.1666471   0.0967140    0.1450187-0.0724239    0.160833  0.0096910.1767305   0.0987737    0.1649581-0.0751582    0.170818  0.0101720.1868479   0.1007156    0.1748704-0.0763772    0.180794  0.0106340.1969890   0.1025406    0.1847321-0.0775132    0.190763  0.0110750.2071432   0.1042530    0.1945457-0.0785734    0.200725  0.0114930.2173005   0.1058523    0.2043217-0.0795626    0.210685  0.0118860.2274565   0.1073408    0.2140804-0.0804893    0.220644  0.0122510.2376083   0.1087236    0.2238342-0.0813589    0.230604  0.0125910.2579014   0.1111770    0.2335912-0.0821677    0.240564  0.0129080.2680426   0.1122538    0.2433524-0.0829167    0.260489  0.0134720.2781788   0.1132351    0.2628954-0.0842424    0.270454  0.0137230.2883127   0.1141203    0.2726773-0.0848174    0.280419  0.0139550.2984436   0.1149153    0.2824640-0.0853348    0.290385  0.0141670.3085706   0.1156210    0.2922552-0.0857963    0.300351  0.0143620.3186916   0.1162431    0.3020494-0.0862013    0.310319  0.0145390.3288054   0.1167787    0.3118513-0.0865532    0.320289  0.0147000.3389137   0.1172345    0.3216635-0.0868533    0.330260  0.0148450.3591160   0.1179088    0.3314845-0.0870991    0.340233  0.0149770.3692132   0.1181273    0.3413153-0.0872910    0.360182  0.0151990.3793128   0.1182625    0.3609971-0.0875216    0.370157  0.0152910.3894128   0.1183159    0.3708429-0.0875560    0.380132  0.015371
                         206翼型断面
                厚度                            弧高
     上                  下
     X/C                 Y/C              X/C       t/C0.3995082   0.1182776  0.3806863-0.0875313    0.390107  0.0154400.4095942   0.1181480  0.3905292-0.0874466    0.400084  0.0154960.4196758   0.1179252  0.4003810-0.0872965    0.410062  0.0155410.4297553   0.1176142  0.4102440-0.0870768    0.420042  0.0155760.4398348   0.1172149  0.4201154-0.0867841    0.430022  0.0156000.4599862   0.1161652  0.4299889-0.0864251    0.440003  0.0156140.4700565   0.1155143  0.4398643-0.0859978    0.459966  0.0156150.4801210   0.1147831  0.4596251-0.0849462    0.469949  0.0156010.4901810   0.1139728  0.4695138-0.0843232    0.479933  0.0155790.5002404   0.1130827  0.4794102-0.0836360    0.489918  0.0155470.5103015   0.1121163  0.4893132-0.0828897    0.499904  0.0155080.5203632   0.1110721  0.4992188-0.0820776    0.509890  0.0154600.5304269   0.1099494  0.5091228-0.0812072    0.519875  0.0154050.5404896   0.1087489  0.5190241-0.0802729    0.529861  0.0153410.5606143   0.1061118  0.5289254-0.0792781    0.539846  0.0152690.5706759   0.1046729  0.5388258-0.0782215    0.559818  0.0150950.5807421   0.1031494  0.5586311-0.0759323    0.569804  0.0149950.5908212   0.1015419  0.5685344-0.0746934    0.579789  0.0148830.6009062   0.0998400  0.5784312-0.0733938    0.589772  0.0147630.6109733   0.0980535  0.5883111-0.0720262    0.599753  0.0146300.6210291   0.0961938  0.5981812-0.0705903    0.609737  0.0144830.6310839   0.0942647  0.6080751-0.0690976    0.619724  0.0143230.6411375   0.0922779  0.6179863-0.0675578    0.629711  0.0141490.6612344   0.0881685  0.6278985-0.0659766    0.639698  0.0139650.6712785   0.0860620  0.6378120-0.0643577    0.659674  0.0135560.6813262   0.0839301  0.6576531-0.0610661    0.669662  0.0133320.6913758   0.0817744  0.6675779-0.0594074    0.679649  0.0130940.7014186   0.0795880  0.6774974-0.0577513    0.689635  0.0128430.7114460   0.0773754  0.6874127-0.0560974    0.699623  0.0125750.7314629   0.0728759  0.6973389-0.0544469    0.709613  0.0122920.7414549   0.0705987  0.7072846-0.0528000    0.729601  0.0116790.7614166   0.0660085  0.7272297-0.0495261    0.739598  0.0113510.7713877   0.0636960  0.7372246-0.0479047    0.759595  0.0106620.7813520   0.0613754  0.7572429-0.0446920    0.769595  0.0103020.7913076   0.0590461  0.7672649-0.0430993    0.779597  0.0099330.8012563   0.0567045  0.7772974-0.0415164    0.789600  0.0095550.8112008   0.0543550  0.7873409-0.0399428    0.799605  0.0091690.8211436   0.0519998  0.7973953-0.0383729    0.809610  0.0087760.8410295   0.0472738  0.8074538-0.0368092    0.819615  0.0083790.8609132   0.0425414  0.8175139-0.0352476    0.839627  0.0075700.8708551   0.0401804  0.8376381-0.0321391    0.859639  0.0067390.8807961   0.0378258  0.8577643-0.0290681    0.869646  0.006316
                          206翼型断面
     厚度                                          弧高
    上                       下
    X/C                      Y/C            X/C        t/C
                     0.8678295-0.0275528    0.879653   0.0058860.8907379   0.0354813    0.8778953-0.0260579    0.889660   0.0054500.9006792   0.0331461    0.8879606-0.0245851    0.899666   0.0050070.9106206   0.0308159    0.8980244-0.0231356    0.909673   0.0045560.9205589   0.0284867    0.9080898-0.0217071    0.919679   0.0040970.9304965   0.0261514    0.9181566-0.0202955    0.929686   0.0036270.9404312   0.0238123    0.9282261-0.0189000    0.939692   0.0031480.9602938   0.0191306    0.9382964-0.0175185    0.959704   0.0021570.9702219   0.0168040    0.9584437-0.0148181    0.969711   0.0016430.9801487   0.0145094    0.9685225-0.0135191    0.979720   0.0011150.9900742   0.0122718    0.9786068-0.0122802    0.989731   0.0005721.0000000   0.0101338    0.9886963-0.0111282    0.999745   0.000014
                     1.0000000-0.0099920
每一翼型断面约在0.45X/C处(见图3)具有唯一的最大厚度和最高点的弧高的位置。从叶根20至叶顶15各断面的最大厚度位置移离翼型断面前沿(见图4)。206断面的最大厚度约在0.3894X/C处。136翼型的最大厚度约在0.3896X/C处。85断面的最大厚度约在0.3997X/C处。57断面的最大厚度约在0.4099X/C处。39断面的最大厚度约在0.42001X/C处。29断面的最大厚度约在0.42004X/C处。23断面的最大厚度约在0.42008X/C处。从叶根向叶顶，由于最大厚度位置移离翼型断面前沿，使边界层脱离减至最小。当各翼型被包含在一个单独的推进器叶片内时，形成了光滑连续的上下面。
每一翼型还有一较NACA系列16翼型为钝的前沿和后沿(见图4)。每一翼型的特点是有较厚的后沿，列举如下：23断面的厚度约为0.0023；29断面的厚度约为0.0029；39断面的厚度约为0.0038；57断面的厚度约为0.0056；85断面的厚度约为0.0084；136断面的厚度约为0.0133；206断面的厚度约为0.0201；具有较厚后沿的叶片和具有较薄和尖的后沿的NACA16叶片相比，前者易于制造和加工。
本发明的各翼型断面的弧高一般取决于叶片内各翼型断面所需的升力系数。图2表示了一些弧高线，各翼型根据上述所期望的升力系数(CLD)可采用它们。弧高线可被定标(即形状做成和图2的弧高线类同，但比例尺不同)。例如对于上述特殊叶片，23翼型断面具有所期望的约0.31CLD；29翼型断面具有所期望的约0.33CLD；39翼型断面具有所期望的约0.32CLD；57翼型断面具有所期望的约0.288CLD；85翼型断面具有所期望的约0.20CLD；136翼型断面具有所期望的约0.10CLD；206翼型断面具有所期望的约0.09CLD。
上述特殊叶片是被设计来约以0.62至0.68马赫数作最佳巡航的。然而，因为在翼型系列中是典型的，各断面的弧高和厚度可被修改来达到其它所期望的飞行断面的最佳叶片载荷。各厚度可采用任何所述弧高线或任意一系列标定的弧高线，它们约在0.45X/C处具有一最高点。与此相似，如果各翼型断面的厚度是按上述的翼型断面(见图3)插值得到的；其厚度比可以变化。如上所述，通过采用该翼型系列，可以设计一种特殊叶片能在0.50至0.70马赫数间以其飞行断面工作。
本发明翼型系列的23翼型断面(HS2)的性能和传统的NACA系列16叶片的类似断面的性能比较如下：起飞(102节)翼型         Mn       Cl        Cd           MnsHS2        0.565     0.4411    0.0086       1.63NACA16      0.563     0.4396    0.0106       3.494指定高度巡航(185节)翼型        Mn       Cl         Cd           MnsHS2        0.673    0.199      0.0078       0.874NACA16      0.673    0.0074     0.0074       1.092巡航(353节)翼型        Mn       Cl         Cd           MnsHS2        0.861    0.498      0.0111       1.176NACA16      0.861    0.499      0.0094       1.756
其中Mn是翼型断面的速度，Cl是升力系数，Cd是牵引系数，Mns是叶片表面上的气流速度。正如上面所表明的，在升力和牵引力方面，本发明提供了和NACA16翼型叶片基本相同的性能。然而，HS2翼型断面在巡航，指定高度和起飞时就Mns来说，表现出明显的改进。 NACA系列16叶片在高于音速时表现出较高的马赫数(Mns)。这种高的马赫数引起冲击，它导致边界层的脱离，从而要求增加牵引力和提高了噪音。
与此类似，本发明翼型系列的39翼型断面(HS2)的性能和传统的NACA系列16叶片的类似断面的性能相比如下：起飞：翼型      Mn         Cl          Cd         MnsHS2      0.444      0.700       0.0107     2.605NACA16    0.444      0.6961      0.0189     5.348指定高度巡航翼型      Mn         Cl          Cd         MnsHS2      0.518      0.249       0.0083     0.598NACA16    0.518      0.249       0.0078     0.856巡航翼型      Mn         Cl          Cd         MnsHS2      0.756      0.371       0.0084     0.959NACA16    0.756      0.371       0.0084     1.230
和上述断面23相似，在升力和牵引力方面本发明提供了和NACA16翼型叶片基本相同的性能。然而，在巡航和起飞时，就Mns来说，表现出明显的改进。在NACA系列16叶片表面上高的马赫数引起了冲击，它导致边界层脱离，从而要求增加牵引力，并提高了噪音。本发明使遇到的冲击减至最小。
本发明的翼型系列比传统的翼型具有下列优点：较钝的翼型断面前沿使外物损伤减至最小，并较NACA系列16叶片的锋利的前沿易于制造。较钝的后沿使叶片加工问题减至最少。此外，由于所述翼型断面是系列的一部分，可以设计出一种叶片，为在0.50至0.70马赫数之间的特殊飞行断面提供最佳载荷。
虽然，根据其最佳实施例已表示和叙述了本发明，凡精通本技术的人应该明白，在其形式上和细节上可以作出上述和各种其它变化、省略和添加而不脱离本发明的精神和范围。

Claims (2)

1.一种具有若干翼型断面一根部和一顶部的叶片，其特征在于：
各断面大体上沿其全长具有一种以钝的抛物面前沿为特点的横断面，其最大厚度约在38％和42％弦长之间，约在45％弦长处弧高具有一最高点，后沿较钝；
若干断面从接近叶片根部的具有20％厚度比的某个翼型断面向接近叶片顶部的具有2％厚度比的某个翼型断面减薄，由于所述翼型断面沿着叶片自20％厚度比减薄至2％厚度比，所述翼型断面的最大厚度比的位置自大约38％弦长上逐渐移至大约42％弦长上。
2.按权利要求1所述的叶片，其特征在于：
接近第一翼型断面具有约0.20厚度比，其最大厚度比约处在0.3894X/C处；接近第一翼型断面的第二翼型断面其最大厚度比约处在0.3896X/C处；接近第二翼型断面的第三翼型断面其最大厚度比约处在0.3997X/C处；接近第三翼型断面的第四翼型断面其最大厚度比约处在0.4099X/C处；接近第四翼型断面的第五翼型断面其最大厚度比约处在0.4200X/C处；接近第五翼型断面的第六翼型断面其最大厚度比约处在0.42004X/C处；接近第六翼型断面和顶部的第七翼型具有约0.02厚度比，其最大厚度比约处在0.42008X/C处，其中X/C是沿所述各翼形弦长的无因次长度。
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ES2010649A4 (es) 1989-12-01
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JPH0211493A (ja) 1990-01-16
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DE68915583D1 (de) 1994-07-07

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