CN1017792B - 翼型叶片 - Google Patents

翼型叶片

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CN1017792B
CN1017792B CN89100932A CN89100932A CN1017792B CN 1017792 B CN1017792 B CN 1017792B CN 89100932 A CN89100932 A CN 89100932A CN 89100932 A CN89100932 A CN 89100932A CN 1017792 B CN1017792 B CN 1017792B
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CN1036536A (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
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    • 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
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    • Y10S—TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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Abstract

一叶片由若干属于一翼型族的翼型剖面(23、29、39、57、85、136、206)组成，各剖面的特点为前缘为钝的抛物线形，翼型中线高度约在45%翼型剖面弦长处具有一最高点，后缘较钝。翼型剖面的厚度比(h/b)自接近叶根(20)的约20%减小到接近叶梢(15)的2%。各翼型剖面的最大厚度的位置沿其弦长从20%翼型剖面的约39%弦长处逐渐移至2%翼型剖面的约42%弦长处。故本发明的新叶片在0.50至0.70马赫数范围内具有比NACA系列16族翼型更优越的气动力性能，而且对于外来物损伤和操纵问题不敏感。

Description

本发明涉及一种推进器叶片，尤其涉及一种由一族新的翼型剖面组成的推进器叶片。
为了使推进器重量最轻，希望采用翼弦窄的叶片。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。这种作业效率对于需要进行大范围的指定高度巡航飞行和高速巡航飞行的飞机来说是特别重要的。
然而，现有技术的推进器叶片却不能满足这些要求，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族翼型叶片，在起飞、巡航和指定高度巡航速度时可能会遭受不能接受的冲击损失。因此需要寻找新的翼型系列来应用于推进器叶片。
美国专利US    45197416公开了一种叶片。这种叶片一般具有呈抛物线形钝的前缘部分。在压力面上呈流线型地连接到具有一个前凸部的压力面;而在吸力面上则呈流线型地连接到一个凸出的吸力面，上述压力面和吸力面并合成纯的后缘。这种已知叶片的翼型剖面形状从厚度比0.04开始一直到厚度比0.30，前者最大厚度是在叶片梢部约0.35X/C处，而最大翼型中线高度则约在0.5X/C处，后者最大厚度是在叶片根部约0.31X/C处，而最大翼型中线高度则约在0.29X/C处。上述美国专利的叶片是设计成在马赫数为0.4范围内巡航时形成有效工作的。
本发明的目的是要提供一种由一族翼型剖面所组成的叶片，它不仅在起飞速度时能提供高的工作升力系数，而且在巡航和指定高度巡航速度时还具有高效的工作特性。
本发明的另一目的是使为工作于0.50至0.70马赫数的飞行器而设计的由一族翼型剖面所组成的推进器叶片在起飞和巡航时冲击损失减少至最小。
本发明的又一目的是要提供一种具有对外来物损伤不敏感的翼型剖面的叶片。
本发明的再一个目的是要提供一种具有易于操纵的翼型剖面的叶片。
按照本发明，叶片由若干属于一翼型族的翼型剖面所组成，每一剖面的特点是前缘为钝的抛物线形，翼型中线高度的最高点约在翼型剖面弦长的45%处，后缘较钝。翼型剖面厚度比（厚度/叶长）从接近叶根处的大约20%逐渐变小至接近叶梢处的大约2%。每一翼型剖面的最大厚度的位置沿着弦长从位于20%翼型剖面的大约39%弦长处逐渐移至2%翼型剖面的大约42%弦长处。因此，本发明的新叶片的气动力性能在0.50至0.70马赫数范围内比NACA系列16族翼型优越，对于外来物损伤和操纵问题不大敏感。
在下面对如图所示的最佳实施例进行的详细叙述中，本发明的这些和另一些目的，特征和优点会变得更加明显。
图1是本发明的翼型的一系列剖面图和一叶片的平面图，该平面图沿叶片的轴线表示了这些剖面的典型的位置，在剖面图中各翼型剖面被放大以便表示其形状细节。
图2是本发明的翼型族的翼型中线的曲线图，X/C表示在翼弦 上的无因次位置，翼型中线高度/弦长表示翼型中线高度对翼型弦长的无因次高度。
图3是本发明的翼型剖面的厚度的曲线图，厚度比弦长是在相应的翼弦位置X/C上翼型的无因次厚度。
图4是本发明的翼型剖面的示意图。
参照图1，所示的是本发明的翼型叶片10的一系列横剖面。叶片具有叶梢部分15和叶根部分20。叶片的每一翼型剖面用由等于厚度比（厚度/长度）乘以1000的二个数字所组成的标记来表示。因此，例如，最上面的翼型剖面23，其特点为厚度比是0.023，第二翼型剖面29，其特点为厚度比是0.029，第三翼型剖面39，其特点为厚度比是0.039，第四翼型剖面57，其特点为厚度比是0.057，第五翼型剖面85，其特点为厚度比是0.085，第六翼型剖面136，其特点为厚度比是0.136，第七翼型剖面206，其特点为厚度比是0.206。
仍参照图1，可以看到翼型剖面23是取自离叶片根部20大约0.90叶片纵轴线长度的位置。翼型剖面29取自离叶根20大约0.85叶片纵轴线长度的位置。翼型剖面39取自离叶根20大约0.76叶片纵轴线长度的位置。与此相同，剖面57取自离叶根20大约0.53叶片纵轴线长度的位置，剖面85取自离叶根20大约0.45叶片纵轴线长度的位置，剖面136取自离叶根20大约0.29叶片纵轴线长度的位置，剖面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，当翼型剖面的翼弦被表示为具有共同的长度时，有关叶片厚度减薄的设计考虑就决定了翼型剖面的相对尺寸，并且，本发明将不局限于各翼型剖面之间有任何特定的尺寸 关系。
图1中所示各翼型剖面之间的叶片横剖面可按在该技术领域中熟知的那种方式由一连接任何二相邻翼型剖面的相应部分的过渡面来决定。当然，翼型剖面可按该技术领域中熟知的方式相互成一定角度，以便使叶片有足够的扭转，从而使叶片具有由气动力性能要求所确定的变化的攻角。
下列表格列举出本发明的叶片的一个实施例的大量翼型剖面的精确的无因次坐标。X/C值是叶片翼弦上的无因次位置。Y/C上是自翼弦到叶片负压面上各点的无因次高度。Y/C下是自翼弦到叶片压力面上各点的无因次高度。t/C值是自翼弦到各翼型中线的无因次高度。下面叙述的特定翼型剖面的形状如图4所示。
HS202翼型    h/b＝.023    23翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.0000000    0.0000000    0.0000000    0.0000000    0.000010    0.0
0.0000080    0.0000209    0.0000140-0.0000159    0.000021    0.000002
0.0005594    0.0006793    0.0007288-0.0004493    0.000654    0.000092
0.0010783    0.0010084    0.0013101-0.0006033    0.001204    0.000162
0.0021049    0.0015115    0.0024139-0.0007884    0.002269    0.000289
0.0031216    0.0019351    0.0034836-0.0009220    0.003312    0.000405
0.0051403    0.0026582    0.0055756-0.0011259    0.005367    0.000613
0.0076519    0.0034234    0.0081490-0.0013111    0.007909    0.000845
0.0101592    0.0040879    0.0107026-0.0014504    0.010439    0.001055
0.0201769    0.0062235    0.0208485-0.0017597    0.020519    0.001785
0.0301895    0.0079187    0.0309555-0.0018427    0.030577    0.002430
0.0402022    0.0093762    0.0410505-0.0017749    0.040629    0.003040
0.0602284    0.0119039    0.0612155-0.0013390    0.060721    0.004225
0.0702405    0.0130500    0.0712849-0.0010208    0.070760    0.004811
0.0802512    0.0141429    0.0813419-0.0006585    0.080792    0.005393
0.0902581    0.0151953    0.0913826-0.0002676    0.090814    0.005970
0.1002631    0.0162093    0.1014092    0.0001386    0.100828    0.006538
0.1102658    0.0171871    0.1114241    0.0005541    0.110835    0.007095
HS202翼型    h/b＝.023    23翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.1202673    0.0181287    0.1214342    0.0009697    0.120839    0.007638
0.1302695    0.0190370    0.1314436    0.0013887    0.130843    0.008169
0.1402709    0.0199175    0.1414498    0.0018095    0.140845    0.003689
0.1602683    0.0215871    0.1614357    0.0026443    0.160833    0.009691
0.1702647    0.0223794    0.1714128    0.0030552    0.170818    0.010172
0.1802581    0.0231354    0.1813751    0.0034544    0.180794    0.010634
0.1902500    0.0238550    0.1913247    0.0038370    0.190763    0.011075
0.2002393    0.0245356    0.2012631    0.0042016    0.200725    0.011493
0.2102287    0.0251746    0.2111973    0.0045458    0.210685    0.011886
0.2202177    0.0257691    0.2211299    0.0048635    0.220644    0.012251
0.2302073    0.0263234    0.2310639    0.0051592    0.230604    0.012591
0.2401963    0.0268395    0.2409984    0.0054363    0.240564    0.012908
0.2601773    0.0277559    0.2608746    0.0059302    0.260489    0.013472
0.2701692    0.0281631    0.2708163    0.0061511    0.270454    0.013723
0.2801604    0.0285360    0.2807587    0.0063572    0.280419    0.013955
0.2901522    0.0288764    0.2907026    0.0065470    0.290385    0.014167
0.3001435    0.0291880    0.3006469    0.0067234    0.300351    0.014362
0.3101359    0.0294687    0.3105941    0.0068849    0.310319    0.014539
0.3201293    0.0297214    0.3205443    0.0070353    0.320289    0.014700
0.3301225    0.0299464    0.3304966    0.0071723    0.330260    0.014845
0.3401167    0.0301479    0.3404521    0.0073019    0.340233    0.014977
0.3601056    0.0304759    0.3603683    0.0075279    0.360182    0.015199
0.3701000    0.0306060    0.3703276    0.0076289    0.370157    0.015291
0.3800947    0.0307117    0.3802865    0.0077222    0.380132    0.015371
0.3900894    0.0307962    0.3902453    0.0078107    0.390107    0.015440
0.4000853    0.0308559    0.4002072    0.0078911    0.400084    0.015496
0.4100807    0.0308924    0.4101713    0.0079666    0.410062    0.015541
0.4200771    0.0309078    0.4201385    0.0080392    0.420042    0.015576
0.4300733    0.0308998    0.4301059    0.0081073    0.430022    0.015600
0.4400703    0.0308716    0.4400744    0.0081705    0.440003    0.015614
0.4600642    0.0307557    0.4600138    0.0082893    0.459966    0.015615
0.4700617    0.0306673    0.4699860    0.0083427    0.469949    0.015601
0.4800593    0.0305600    0.4799600    0.0083950    0.479933    0.015579
0.4900570    0.0304323    0.4899358    0.0084417    0.489918    0.015547
0.5000556    0.0302892    0.4999129    0.0084878    0.499904    0.015508
0.5100543    0.0301261    0.5098897    0.0085309    0.509890    0.015460
0.5200523    0.0299466    0.5198653    0.0085724    0.519875    0.015405
0.5300515    0.0297488    0.5298418    0.0086101    0.529861    0.015341
0.5400496    0.0295323    0.5398173    0.0086466    0.539846    0.015269
0.5600475    0.0290393    0.5597706    0.0087045    0.559818    0.015095
0.5700464    0.0287654    0.5697474    0.0087294    0.569804    0.014995
0.5800450    0.0284673    0.5797223    0.0087464    0.579789    0.014883
0.5900437    0.0281515    0.5896932    0.0087631    0.589772    0.014763
0.6000416    0.0278095    0.5996610    0.0087721    0.599753    0.014630
0.6100394    0.0274421    0.6096347    0.0087715    0.609737    0.014483
HS202翼型    h/b＝.023    23翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.6200383    0.0270521    0.6196134    0.0087614    0.619724    0.014323
0.6300371    0.0266384    0.6295922    0.0087399    0.629711    0.014149
0.6400357    0.0262066    0.6395713    0.0087117    0.639698    0.013965
0.6600331    0.0252822    0.6595331    0.0086139    0.659674    0.013556
0.6700312    0.0247919    0.6695145    0.0085441    0.669662    0.013332
0.6800290    0.0242822    0.6794944    0.0084587    0.679649    0.013094
0.6900261    0.0237556    0.6894729    0.0083582    0.689635    0.012843
0.7000241    0.0232062    0.6994545    0.0082375    0.699623    0.012575
0.7100217    0.0226367    0.7094406    0.0080988    0.709613    0.012292
0.7300182    0.0214357    0.7294273    0.0077676    0.729601    0.011679
0.7400168    0.0208073    0.7394262    0.0075748    0.739598    0.011351
0.7600135    0.0195107    0.7594308    0.0071491    0.759595    0.010662
0.7700118    0.0188427    0.7694362    0.0069170    0.769595    0.010302
0.7800108    0.0181630    0.7794446    0.0066735    0.779597    0.009933
0.7900094    0.0174723    0.7894557    0.0064190    0.789600    0.009555
0.8000089    0.0167708    0.7994699    0.0061553    0.799605    0.009169
0.8100078    0.0160611    0.8094846    0.0058828    0.809610    0.008776
0.8200063    0.0153459    0.8194997    0.0056049    0.819615    0.008379
0.8400054    0.0138974    0.8395318    0.0050310    0.839627    0.007570
0.8600040    0.0124230    0.8595644    0.0044281    0.859639    0.006739
0.8700042    0.0116775    0.8695818    0.0041153    0.869646    0.006316
0.8800043    0.0109249    0.8795993    0.0037927    0.879653    0.005886
0.8900045    0.0101664    0.8896168    0.0034610    0.889660    0.005450
0.9000038    0.0094014    0.8996331    0.0031179    0.899666    0.005007
0.9100039    0.0086277    0.9096506    0.0027644    0.909673    0.004556
0.9200028    0.0078451    0.9196673    0.0023987    0.919679    0.004097
0.9300023    0.0070487    0.9296854    0.0020199    0.929686    0.003627
0.9400008    0.0062430    0.9397027    0.0016284    0.939692    0.003148
0.9599964    0.0045914    0.9597381    0.0008015    0.959704    0.002157
0.9699947    0.0037461    0.9697575    0.0003617    0.969711    0.001643
0.9799945    0.0028895    0.9797792-0.0001010    0.979720    0.001115
0.9899958    0.0020207    0.9898036-0.0005904    0.989731    0.000572
1.0000000    0.0011466    1.0000000-0.0011206    0.999745    0.000014
29翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.0000000    0.0000000    0.0000000    0.0000000    0.000010    0.0
0.0000064    0.0000261    0.0000156-0.0000201    0.000021    0.000003
0.0005161    0.0008460    0.0007721-0.0005700    0.000654    0.000138
0.0010190    0.0012545    0.0013693-0.0007684    0.001204    0.000243
0.0020259    0.0018781    0.0024927-0.0010100    0.002269    0.000434
0.0030290    0.0024026    0.0035759-0.0011865    0.003312    0.000608
0.0050288    0.0032974    0.0056866-0.0014592    0.005367    0.000919
0.0075244    0.0042443    0.0082758-0.0017100    0.007909    0.001267
0.0100197    0.0050659    0.0108412-0.0019015    0.010439    0.001582
0.0200040    0.0077032    0.0210196-0.0023464    0.020519    0.002678
0.0299919    0.0097911    0.0311505-0.0025001    0.030577    0.003645
0.0399831    0.0115815    0.0412660-0.0024603    0.040629    0.004560
0.0599730    0.0146768    0.0614657-0.0019991    0.060721    0.006338
0.0699699    0.0160765    0.0715494-0.0016426    0.070760    0.007216
0.0799682    0.0174102    0.0816179-0.0012300    0.080792    0.008089
0.0899660    0.0186926    0.0916668-0.0007801    0.090814    0.008955
0.0999651    0.0199280    0.1016985-0.0003113    0.100828    0.009807
0.1099641    0.0211192    0.1117162    0.0001697    0.110835    0.010643
0.1199631    0.0222645    0.1217279    0.0006526    0.120839    0.011457
0.1299629    0.0233697    0.1317388    0.0011397    0.130843    0.012253
0.1399627    0.0244407    0.1417459    0.0016309    0.140842    0.013034
0.1599622    0.0264697    0.1617278    0.0026063    0.160833    0.014536
0.1699631    0.0274328    0.1716996    0.0030874    0.170818    0.015258
0.1799639    0.0283517    0.1816536    0.0035547    0.180794    0.015951
0.1899663    0.0292255    0.1915919    0.0040030    0.190763    0.016612
0.1999682    0.0300528    0.2015169    0.0044299    0.200725    0.017239
0.2099712    0.0308300    0.2114365    0.0048329    0.210685    0.017829
0.2199742    0.0315521    0.2213542    0.0052049    0.220644    0.018376
0.2299777    0.0322259    0.2312735    0.0055513    0.230604    0.018886
0.2399803    0.0328532    0.2411936    0.0058761    0.240564    0.019362
0.2599873    0.0339668    0.2610422    0.0064548    0.260489    0.020208
0.2699915    0.0344617    0.2709706    0.0067139    0.270454    0.020585
0.2799948    0.0349143    0.2809001    0.0069555    0.280419    0.020932
0.2899984    0.0353280    0.2908313    0.0071779    0.290385    0.021250
0.3000014    0.0357063    0.3007630    0.0073856    0.300351    0.021543
0.3100050    0.0360468    0.3106981    0.0075752    0.310319    0.021808
0.3200091    0.0363535    0.3206368    0.0077526    0.320289    0.022050
0.3300123    0.0366261    0.3305783    0.0079140    0.330260    0.022267
0.3400160    0.0368710    0.3405234    0.0080672    0.340233    0.022466
0.3600227    0.0372673-    0.3604201    0.0083350    0.360182    0.022798
0.3700256    0.0374248    0.3703699    0.0084555    0.370157    0.022937
0.3800291    0.0375518    0.3803192    0.0085666    0.380132    0.023056
29翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.3900325    0.0376533    0.3902684    0.0086731    0.390107    0.023160
0.4000367    0.0377240    0.4002211    0.0087704    0.400084    0.023244
0.4100396    0.0377664    0.4101769    0.0088620    0.410062    0.023311
0.4200432    0.0377838    0.4201360    0.0089506    0.420042    0.023364
0.4300463    0.0377721    0.4300957    0.0090344    0.430022    0.023400
0.4400502    0.0377349    0.4400564    0.0091136    0.440003    0.023421
0.4600573    0.0375888    0.4599810    0.0092636    0.459966    0.023423
0.4700608    0.0374786    0.4699461    0.0093319    0.469949    0.023402
0.4800640    0.0373454    0.4799138    0.0093990    0.479933    0.023369
0.4900669    0.0371865    0.4898835    0.0094599    0.489918    0.023320
0.5000705    0.0370085    0.4998546    0.0095219    0.499904    0.023262
0.5100745    0.0368071    0.5098255    0.0095793    0.509890    0.023190
0.5200778    0.0365847    0.5197949    0.0096357    0.519875    0.023107
0.5300823    0.0363400    0.5297651    0.0096884    0.529861    0.023011
0.5400859    0.0360726    0.5397343    0.0097397    0.539846    0.022903
0.5600943    0.0354638    0.5596754    0.0098264    0.559818    0.022642
0.5700984    0.0351266    0.5696460    0.0098656    0.569804    0.022493
0.5801026    0.0347582    0.5796145    0.0098959    0.579789    0.022324
0.5901080    0.0343694    0.5895778    0.0099266    0.589772    0.022145
0.6001132    0.0339483    0.5995375    0.0099477    0.599753    0.021945
0.6101168    0.0334962    0.6095045    0.0099578    0.609737    0.021724
0.6201204    0.0330164    0.6194776    0.0099575    0.619724    0.021484
0.6301239    0.0325077    0.6294510    0.0099441    0.629711    0.021223
0.6401271    0.0319770    0.6394246    0.0099227    0.639698    0.020947
0.6601328    0.0308426    0.6593763    0.0098310    0.659674    0.020334
0.6701347    0.0302413    0.6693531    0.0097602    0.669662    0.019998
0.6801367    0.0296168    0.6793279    0.0096706    0.679649    0.019641
0.6901382    0.0289718    0.6893011    0.0095635    0.689635    0.019265
0.7001399    0.0282990    0.6992782    0.0094322    0.699623    0.018863
0.7101399    0.0276018    0.7092609    0.0092792    0.709613    0.018438
0.7301382    0.0261347    0.7292441    0.0089081    0.729601    0.017519
0.7401362    0.0253668    0.7392428    0.0086898    0.739598    0.017026
0.7601300    0.0237840    0.7592485    0.0082064    0.759595    0.015993
0.7701260    0.0229693    0.7692553    0.0079409    0.769595    0.015453
0.7801222    0.0221403    0.7792658    0.0076618    0.779597    0.014899
0.7901173    0.0212982    0.7892795    0.0073697    0.789600    0.014332
0.8001125    0.0204432    0.7992971    0.0070666    0.799605    0.013753
0.8101068    0.0195789    0.8093154    0.0067527    0.809610    0.013164
0.8201008    0.0187071    0.8193342    0.0064323    0.819615    0.012568
0.8400904    0.0169428    0.8393741    0.0057703    0.839627    0.011355
0.8600795    0.0151474    0.8594145    0.0050734    0.859639    0.010109
0.8700749    0.0142393    0.8694360    0.0047113    0.869646    0.009474
29翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.8800700    0.0133233    0.8794575    0.0043372    0.879653    0.008829
0.8900653    0.0124003    0.8894789    0.0039519    0.889660    0.008175
0.9000598    0.0114689    0.8994992    0.0035532    0.899666    0.007510
0.9100550    0.0105282    0.9095206    0.0031417    0.909673    0.006834
0.9200489    0.0095762    0.9195416    0.0027155    0.919679    0.006145
0.9300433    0.0086085    0.9295639    0.0022730    0.929686    0.005440
0.9400364    0.0076287    0.9395856    0.0018166    0.939692    0.004722
0.9600210    0.0056219    0.9596304    0.0008490    0.959704    0.003235
0.9700135    0.0045956    0.9696547    0.0003331    0.969711    0.002464
0.9800072    0.0035563    0.9796817-0.0002099    0.979720    0.001673
0.9900023    0.0025025    0.9897115-0.0007863    0.989731    0.000858
1.0000000    0.0014427    1.0000000-0.0014168    0.999745    0.000021
39翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.0000000    0.0000000    0.0000000    0.0000000    0.000010    0.0
0.0000049    0.0000341    0.0000171-0.0000281    0.000021    0.000003
0.0004720    0.0010901    0.0008162-0.0008141-    0.000654    0.000138
0.0009586    0.0016032    0.0014296-0.0011171    0.001204    0.000243
0.0019454    0.0023759    0.0025731-0.0015078    0.002269    0.000434
0.0029346    0.0030210    0.0036700-0.0018048    0.003312    0.000608
0.0049152    0.0041171    0.0057998-0.0022790    0.005367    0.000919
0.0073945    0.0052705    0.0084049-0.0027363    0.007909    0.001267
0.0098777    0.0062667    0.0109823-0.0031024    0.010439    0.001582
0.0198281    0.0094354    0.0211937-0.0040789    0.020519    0.002678
0.0297908    0.0119100    0.0313488-0.0046193    0.030577    0.003645
0.0397602    0.0140019    0.0414854-0.0048810    0.040629    0.004560
0.0597130    0.0175510    0.0617203-0.0048738    0.060721    0.006338
0.0696945    0.0191306    0.0718186-0.0046973    0.070760    0.007216
0.0796803    0.0206233    0.0818987-0.0044438    0.080792    0.008089
0.0896689    0.0220489    0.0919559-0.0041372    0.090814    0.008955
0.0996618    0.0234164    0.1019928-0.0038005    0.100828    0.009807
0.1096572    0.0247303    0.1120133-0.0034423    0.110835    0.010643
0.1196536    0.0259895    0.1220268-0.0030733    0.120839    0.011457
0.1296510    0.0272013    0.1320392-0.0026930    0.130843    0.012253
0.1396491    0.0283721    0.1420470-0.0023017    0.140845    0.013034
0.1596507    0.0305827    0.1620251-0.0015080    0.160833    0.014536
0.1696562    0.0316288    0.1719915-0.0011099    0.170818    0.015258
0.1796647    0.0326259    0.1819369-0.0007209    0.180794    0.015951
0.1896777    0.0335727    0.1918638-0.0003456    0.190763    0.016612
0.1996924    0.0344690    0.2017750    0.0000122    0.200725    0.017239
0.2097095    0.0353109    0.2116798    0.0003505    0.210685    0.017829
0.2197266    0.0360932    0.2215824    0.0006622    0.220644    0.018376
0.2297441    0.0368232    0.2314867    0.0009523    0.230604    0.018886
0.2397606    0.0375028    0.2413922    0.0012248    0.240564    0.019362
0.2597939    0.0387085    0.2612125    0.0017112    0.260489    0.020208
0.2698109    0.0392440    0.2711275    0.0019299    0.270454    0.020585
0.2798264    0.0397331    0.2810437    0.0021348    0.280419    0.020932
0.2898420    0.0401799    0.2909620    0.0023241    0.290385    0.021250
0.2998568    0.0405874    0.3008811    0.0025026    0.300351    0.021543
0.3098719    0.0409537    0.3108039    0.0026664    0.310319    0.021808
0.3198867    0.0412828    0.3207309    0.0028213    0.320289    0.022050
0.3299001    0.0415747    0.3306613    0.0029635    0.330260    0.022267
0.3399135    0.0418355    0.3405959    0.0031007    0.340233    0.022466
0.3599383    0.0422538    0.3604727    0.0033465    0.360182    0.022798
0.3699499    0.0424175    0.3704129    0.0034608    0.370157    0.022937
0.3799623    0.0425472    0.3803526    0.0035691    0.380132    0.023056
39翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.3899747    0.0426480    0.3902919    0.0036763    0.390107    0.023160
0.3999873    0.0427139    0.4002353    0.0037784    0.400084    0.023244
0.4099979    0.0427479    0.4101825    0.0038785    0.410062    0.023311
0.4200087    0.0427530    0.4201335    0.0039794    0.420042    0.023364
0.4300188    0.0427252    0.4300852    0.0040792    0.430022    0.023400
0.4400298    0.0426675    0.4400381    0.0041789    0.440003    0.023421
0.4600501    0.0424704    0.4599475    0.0043799    0.459966    0.023423
0.4700599    0.0423292    0.4699057    0.0044791    0.469949    0.023402
0.4800687    0.0421621    0.4798667    0.0045802    0.479933    0.023369
0.4900768    0.0419652    0.4898304    0.0046791    0.489918    0.023320
0.5000857    0.0417456    0.4997954    0.0047828    0.499904    0.023262
0.5100949    0.0414999    0.5097601    0.0048844    0.509890    0.023190
0.5201036    0.0412294    0.5197232    0.0049889    0.519875    0.023107
0.5301136    0.0409331    0.5296870    0.0050932    0.529861    0.023011
0.5401226    0.0406111    0.5396500    0.0051991    0.539846    0.022903
0.5601419    0.0398824    0.5595785    0.0054058    0.559818    0.022642
0.5701513    0.0394803    0.5695429    0.0055098    0.569804    0.022493
0.5801612    0.0390429    0.5795047    0.0056093    0.579789    0.022324
0.5901735    0.0385818    0.5894604    0.0057123    0.589772    0.022145
0.6001860    0.0380847    0.5994118    0.0058094    0.599753    0.021945
0.6101955    0.0375531    0.6093721    0.0058990    0.609737    0.021724
0.6202039    0.0369907    0.6193395    0.0059813    0.619724    0.021484
0.6302121    0.0363964    0.6293072    0.0060536    0.629711    0.021223
0.6402199    0.0357781    0.6392753    0.0061198    0.639698    0.020947
0.6602342    0.0344637    0.6592168    0.0062081    0.659674    0.020334
0.6702400    0.0337710    0.6691888    0.0062287    0.669662    0.019998
0.6802461    0.0330546    0.6791585    0.0062311    0.679649    0.019641
0.6902521    0.0323168    0.6891264    0.0062168    0.689635    0.019265
0.7002576    0.0315504    0.6990988    0.0061791    0.699623    0.018863
0.7102602    0.0307594    0.7090781    0.0061200    0.709613    0.018438
0.7302602    0.0291037    0.7290578    0.0059375    0.729601    0.017519
0.7402577    0.0282411    0.7390561    0.0058141    0.739598    0.017026
0.7602484    0.0264685    0.7590631    0.0055205    0.759595    0.015993
0.7702422    0.0255592    0.7690713    0.0053497    0.769595    0.015453
0.7802355    0.0246354    0.7790838    0.0051654    0.779597    0.014899
0.7902269    0.0236986    0.7891003    0.0049680    0.789600    0.014332
0.8002178    0.0227487    0.7991213    0.0047599    0.799605    0.013753
0.8102075    0.0217895    0.8091434    0.0045409    0.809610    0.013164
0.8201968    0.0208228    0.8191659    0.0043156    0.819615    0.012568
0.8401769    0.0188684    0.8392137    0.0038437    0.839627    0.011355
0.8601563    0.0168837    0.8592619    0.0033362    0.859639    0.010109
0.8701466    0.0158813    0.8692875    0.0030684    0.869646    0.009474
0.879653    0.008829
39翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.8801368    0.0148720    0.8793131    0.0027877
0.8901273    0.0138565    0.8893386    0.0024950    0.889660    0.008175
0.9001167    0.0128329    0.8993630    0.0021885    0.899666    0.007510
0.9101071    0.0118011    0.9093885    0.0018682    0.909673    0.006834
0.9200958    0.0107584    0.9194136    0.0015327    0.919679    0.006145
0.9300850    0.0097006    0.9294403    0.0011805    0.929686    0.005440
0.9400727    0.0086300    0.9394665    0.0008148    0.939692    0.004722
0.9600461    0.0064443    0.9595208    0.0000263    0.959704    0.003235
0.9700327    0.0053303    0.9695501-0.0004018    0.969711    0.002464
0.9800202    0.0042054    0.9795824-0.0008591    0.979720    0.001673
0.9900089    0.0030697    0.9896176-0.0013535    0.989731    0.000858
1.0000000    0.0019330    1.0000000-0.0019101    0.999745    0.000021
57翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.0000000    0.0000000    0.0000000    0.0000000    0.000010    0.0
0.0000021    0.0000484    0.0000199-0.0000424    0.000021    0.000003
0.0003926    0.0015291    0.0008955-0.0012531    0.000654    0.000138
0.0008499    0.0022307    0.0015382-0.0017447    0.001204    0.000243
0.0018004    0.0032717    0.0027177-0.0024036    0.002269    0.000434
0.0027647    0.0041338    0.0038393-0.0029178    0.003312    0.000608
0.0047107    0.0055932    0.0060035-0.0037552    0.005367    0.000919
0.0071608    0.0071181    0.0086375-0.0045840    0.007909    0.0012
0.0096219    0.0084285    0.0112363-0.0052645    0.010439    0.0015
0.0195114    0.0125532    0.0215072-0.0071971    0.020519    0.002678
0.0294290    0.0157229    0.0317058-0.0084328    0.030577    0.003645
0.0393590    0.0183571    0.0418801-0.0092370    0.040629    0.004560
0.0592451    0.0227245    0.0621786-0.0100483    0.060721    0.006338
0.0691988    0.0246276    0.0723031-0.0101954    0.070760    0.007216
0.0791621    0.0264055    0.0824041-0.0102273    0.080792    0.008089
0.0891339    0.0280899    0.0924764-0.0101797    0.090814    0.008955
0.0991161    0.0296942    0.1025225-0.0100800    0.100828    0.009807
0.1091049    0.0312285    0.1125481-0.0099422    0.110835    0.010643
0.1190964    0.0326940    0.1225648-0.0097797    0.120839    0.011457
0.1290897    0.0340972    0.1325798-0.0095908    0.130345    0.012253
0.1390848    0.0354471    0.1425890-0.0093787    0.140845    0.013034
0.1590902    0.0379853    0.1625601-0.0089129    0.160833    0.014536
0.1691040    0.0391799    0.1725166-0.0086635    0.170818    0.015258
0.1791260    0.0403183    0.1824468-0.0084159    0.180794    0.015951
0.1891581    0.0413972    0.1923530-0.0081727    0.190763    0.016612
0.1991960    0.0424173    0.2022395-0.0079389    0.200725    0.017239
0.2092381    0.0433748    0.2121176-0.0077163    0.210685    0.017829
0.2192810    0.0442660    0.2219930-0.0075135    0.220644    0.018376
0.2293239    0.0450967    0.2318704-0.0073242    0.230604    0.01888
0.2393650    0.0458709    0.2417495-0.0071464    0.240564    0.019362
0.2594460    0.0472427    0.2615191-0.0068261    0.260489    0.020208
0.2694856    0.0478502    0.2714097-0.0066796    0.270454    0.020585
0.2795233    0.0484066    0.2813023-0.0065420    0.280419    0.020932
0.2895606    0.0489116    0.2911973-0.0064110    0.290385    0.021250
0.2995966    0.0493722    0.3010936-0.0062856    0.300351    0.021543
0.3096322    0.0497844    0.3109943-0.0061678    0.310319    0.021808
0.3196664    0.0501545    0.3209003-0.0060539    0.320289    0.022050
0.3296983    0.0504810    0.3308107-0.0059464    0.330260    0.022267
0.3397291    0.0507698    0.3407263-0.0058372    0.340233    0.022466
0.3597864    0.0512284    0.3605675-0.0056317    0.360182    0.022798
0.3698138    0.0514025    0.3704904-0.0055279    0.370157    0.022937
0.3798421    0.0515372    0.3804123-0.0054245    0.380132    0.023056
57翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.3903341-0.0053167    0.390107    0.023160
0.4002607-0.0052067    0.400084    0.023244    0.3898705    0.0516373
0.4101925-0.0050914    0.410062    0.023311    0.3998983    0.0516953
0.4201289-0.0049671    0.420042    0.023364    0.4099228    0.0517141
0.4300664-0.0048383    0.430022    0.023400    0.4199465    0.0516958
0.4400051-0.0047032    0.440003    0.023421    0.4299694    0.0516390
0.4598874-0.0044102    0.459966    0.023423    0.4399929    0.0515456
0.4698328-0.0042547    0.469949    0.023402    0.4600374    0.051256
0.4797820-0.0040918    0.479933    0.023369    0.4700581    0.051059
0.4897346-0.0039247    0.489918    0.023320    0.4800771    0.0508304
0.4996887-0.0037472    0.499904    0.023262    0.4900949    0.0505653
0.5096424-0.0035646    0.509890    0.023190    0.5001130    0.0502719
0.5195942-0.0033736    0.519875    0.023107    0.5101317    0.0499452
0.5295466-0.0031765    0.529861    0.023011    0.5201501    0.0495883
0.5394980-0.0029723    0.539846    0.022903    0.5301700    0.0491991
0.5594041-0.0025510    0.559818    0.022642    0.5401888    0.0487789
0.5693573-0.0023289    0.569804    0.022493    0.5602274    0.0478356
0.5793072-0.0021065    0.579789    0.022324    0.5702464    0.0473155
0.5892491-0.0018733    0.589772    0.022145    0.5802667    0.0467551
0.5991856-0.0016385    0.599753    0.021945    0.5902911    0.0461639
0.6091337-0.0014052-0.609737    0.021724    0.6003169    0.0455292
0.6190909-0.0011742    0.619724    0.021484    0.6103370    0.0448538
0.6290484-0.0009487    0.629711    0.021223    0.6203542    0.0441428
0.6390065-0.0007252    0.639698    0.020947    0.6303709    0.0433953
0.6589297-0.0003125    0.659674    0.020334    0.6403872    0.0426198
0.6688931-0.0001271    0.669662    0.019998    0.6604164    0.0409810
0.6788537    0.0000415    0.679649    0.019641    0.6704294    0.0401237
0.6888119    0.0001941    0.689635    0.019265    0.6804430    0.0392411
0.6987758    0.0003241    0.699623    0.018863    0.6904570    0.0383364
0.7087491    0.0004336    0.709613    0.018438    0.7004694    0.0374024
0.7287225    0.0005919    0.729601    0.017519    0.7104765    0.0364429
0.7387202    0.0006389    0.739598    0.017026    0.7304797    0.0344466
0.7587293    0.0006861    0.759595    0.015993    0.7404761    0.0334136
0.7687401    0.0006868    0.769595    0.015453    0.7604616    0.0313004
0.7787563    0.0006730    0.779597    0.014899    0.7704512    0.0302196
0.7887776    0.0006453    0.789600    0.014332    0.7804392    0.0291254
0.7988048    0.0006079    0.799605    0.013753    0.7904242    0.0280191
0.8088336    0.0005608    0.809610    0.013164    0.8004074    0.0268984
0.8188631    0.0005066    0.819615    0.012568    0.8103887    0.0257675
0.8389248    0.0003768    0.839627    0.011355    0.8203695    0.0246297
0.8589874    0.0002102    0.859639    0.010109    0.8403324    0.0223335
0.869646    0.009474    0.8602943    0.0200080
57翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.8702759-0.0188367-0.8690202 0.0001116
0.8802571    0.0176592    0.8790532-0.0000009    0.879653    0.008829
0.8902386    0.0164768    0.8890860-0.0001265    0.889660    0.008175
0.9002193    0.0152885    0.8991176-0.0002683    0.899666    0.007510
0.9102007    0.0140924    0.9091504-0.0004242    0.909673    0.006834
0.9201802    0.0128868    0.9191832-0.0005966    0.919679    0.006145
0.9301599    0.0116654    0.9292178-0.0007852    0.929686    0.005440
0.9401379    0.0104323    0.9392521-0.0009882    0.939692    0.0047
0.9600911    0.0079252    0.9593233-0.0014551    0.959704    0.0032
0.9700670    0.0066525    0.9693618-0.0017244    0.969711    0.002464
0.9800434    0.0053728    0.9794037-0.0020267    0.979720    0.001673
0.9900205    0.0040897    0.9894488-0.0023737    0.989731    0.000858
0.0000000    0.0028162    1.0000000-0.0027956    0.999745    0.000021
85翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.0000000    0.0000707    0.0000000    0.0000707    0.000010    0.0
0.0002713    0.0022125    0.0000023    0.0000000    0.000021    0.000003
0.0006830    0.0032069    0.0000267-0.0000647    0.000654    0.000138
0.0015773    0.0046644    0.0010213-0.0019365    0.001204    0.000243
0.0025027    0.0058657    0.0017094-0.0027209    0.002269    0.000434
0.0043949    0.0078880    0.0029448-0.0037965    0.003312    0.000608
0.0067995    0.0099910    0.0041052-0.0046499    0.005367    0.000919
0.0092266    0.0117901    0.0063225-0.0060502    0.007909    0.001267
0.0190212    0.0174009    0.0090013-0.0074573    0.010439    0.001502
0.0288684    0.0216536    0.0116337-0.0086264    0.020519    0.002678
0.0387373    0.0251319    0.0219969-0.0120455    0.030577    0.003645
0.0585195    0.0307705    0.0322634-0.0143644    0.040629    0.004560
0.0684301    0.0331765    0.0424963-0.0160129    0.060721    0.006338
0.0783583    0.0353982    0.0628936-0.0180959    0.070760    0.007216
0.0883042    0.0374850    0.0730587-0.0187461    0.080792    0.008089
0.0982695    0.0394587    0.0831922-0.0192221    0.090814    0.008955
0.1082479    0.0413361    0.0932881-0.0195770    0.100828    0.009807
0.1182320    0.0431211    0.1033486-0.0198468    0.110835    0.010643
0.1282185    0.0448225    0.1133819-0.0200524    0.120839    0.011457
0.1382090    0.0464515    0.1234035-0.0202097    0.130843    0.012253
0.1582203    0.0494991    0.1334227-0.0203193    0.140845    0.013034
0.1682470    0.0509250    0.1434340-0.0203864    0.160833    0.014536
0.1782904    0.0522810    0.1633943-0.0204303    0.170818    0.015258
0.1883521-0.0535658    0.1733354-0.0204125    0.180794    0.015951
0.1984259    0.0547778    0.1832418-0.0203826    0.190763    0.016612
0.2085070    0.0559169    0.1931158-0.0203455    0.200725    0.017239
0.2185897    0.0569777    0.2029639-0.0203036    0.210685    0.017829
0.2286720    0.0579652    0.2128005-0.0202628    0.220644    0.018376
0.2387518    0.0588844    0.2226336-0.0202298    0.230604    0.018886
0.2589065    0.0605162    0.2324690-0.0201974    0.240564    0.019362
0.2689816    0.0612362    0.2423071-0.0201648    0.260489    0.020208
0.2790536    0.0618947    0.2619978-0.0201047    0.270454    0.020585
0.2891246    0.0624924    0.2718506-0.0200708    0.280419    0.020932
0.2991937    0.0630347    0.2817063-0.0200354    0.290385    0.021250
0.3092612    0.0635193    0.2915651-0.0199972    0.300351    0.021543
0.3193257    0.0639531    0.3014258-0.0199535    0.310319    0.021808
0.3293861    0.0643322    0.3112921-0.0199082    0.320289    0.022050
0.3394439    0.0646657    0.3211654-0.0198580    0.330260    0.022267
0.3595518    0.0651857    0.3310447-0.0198032    0.340233    0.022466
0.3696036    0.0653774    0.3409307-0.0197388    0.360182    0.022798
0.3796567    0.0655198    0.3607163-0.0195949    0.370157    0.022937
0.3897101    0.0656178    0.3706124-0.0195086    0.380132    0.023056
85翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.3997614    0.0656633    0.3805070-0.0194129    0.390107    0.023160
0.4098074    0.0656585    0.3904013-0.0193030    0.400084    0.023244
0.4198514    0.0656049    0.4003018-0.0191805    0.410062    0.023311
0.4298940    0.0655029    0.4102097-0.0190417    0.420042    0.023364
0.4399371    0.0653535    0.4201234-0.0188822    0.430022    0.023400
0.4600187    0.0649217    0.4300386-0.0187082    0.440003    0.023421
0.4700568    0.0646377    0.4399552-0.0185167    0.459966    0.023423
0.4800918    0.0643116    0.4597952-0.0180810    0.469949    0.023402
0.4901242    0.0639414    0.4697208-0.0178390    0.479933    0.023369
0.5001567    0.0635321    0.4796517-0.0175789    0.489918    0.023320
0.5101902    0.0630807    0.4895870-0.0173067    0.499904    0.023262
0.5202237    0.0625891    0.4995242-0.0170133    0.509890    0.023190
0.5302589    0.0620557    0.5094606-0.0167059    0.519875    0.023107
0.5402930    0.0614816    0.5193948-0.0163804    0.529861    0.023011
0.5603617    0.0602035    0.5293294-0.0160388    0.539846    0.022903
0.5703956    0.0595011    0.5392630-0.0156807    0.559818    0.022642
0.5804319    0.0587492    0.5591340-0.0149245    0.569804    0.022493
0.5904754    0.0579555    0.5690698-0.0145201    0.579789    0.022324
0.6005218    0.0571070    0.5790012-0.0141062    0.589772    0.022145
0.6105583    0.0562083    0.5889215-0.0136705    0.599753    0.021945
0.6205889    0.0552660    0.5988349-0.0132219    0.609737    0.021724
0.6306189    0.0542799    0.6087642-0.0127651    0.619724    0.021484
0.6406482    0.0532590    0.6187053-0.0123028    0.629711    0.021223
0.6607011    0.0511167    0.6286471-0.0118387    0.639698    0.020947
0.6707248    0.0500026    0.6385896-0.0113697    0.659674    0.020334
0.6807504    0.0488627    0.6584842-0.0104532    0.669662    0.019998
0.6907768    0.0476995    0.6684343-0.0100111    0.679649    0.019641
0.7007998    0.0465045    0.6783805-0.0095851    0.689635    0.019265
0.7108140    0.0452819    0.6883237-0.0091738    0.699623    0.018863
0.7308218    0.0427571    0.6982746-0.0087827    0.709613    0.018438
0.7408168    0.0414590    0.7082382-0.0084101    0.729601    0.017519
0.7607940    0.0388152    0.7282019-0.0077230    0.739598    0.017026
0.7707772    0.0374689    0.7381986-0.0074108    0.759595    0.015993
0.7807569    0.0361093    0.7582110-0.0068327    0.769595    0.015453
0.7907315    0.0347372    0.7682257-0.0065663    0.779597    0.014899
0.8007028    0.0333515    0.7782477-0.0063146    0.789600    0.014332
0.8106714    0.0319553    0.7882768-0.0060764    0.799605    0.013753
0.8206389 0.0305515 0.7983133-0.0058486 0.013164
0.8405750 0.0277225 0.8083525-0.0056303
Figure 89100932_IMG3
12568
0.8605097    0.0248672    0.8183927-0.0054183    0.839627    0.011355
85翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.8704774    0.0234329    0.8384762-0.0050150    0.859639    0.010109
0.8804446    0.0219941    0.8585610-0.0046515    0.869646    0.009474
0.8904123    0.0205528    0.8686051-0.0044871    0.879653    0.008829
0.9003792    0.0191074    0.8786496-0.0043380    0.889660    0.008175
0.9103467    0.0176563    0.8886937-0.0042047    0.899666    0.007510
0.9203119    0.0161957    0.8987365-0.0040891    0.909673    0.006834
0.9302769    0.0147212    0.9087807-0.0039898    0.919679    0.006145
0.9402398    0.0132363    0.9188254-0.0039071    0.929686    0.005440
0.9601615    0.0102273    0.9288722-0.0038425    0.939692    0.004722
0.9701207    0.0087089    0.9389190-0.0037934    0.959704    0.003235
0.9800799    0.0071895    0.9590168-0.0037580    0.969711    0.002464
0.9900390    0.0056761    0.9690694-0.0037815    0.979720    0.001673
1.0000000    0.0041885    0.9791260-0.0038439    0.989731    0.000858
0.9891867-0.0039603    0.999745    0.000021
1.0000000-0.0041632
136翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.0000000    0.0001115    0.0000000    0.0001115    0.000010    0.0
0.0002460    0.0034410    0.0000033    0.0000000    0.000021    0.000002
0.0006482    0.0049432    0.0000285-0.0001075    0.000654    0.000092
0.0015309    0.0071066    0.0010484-0.0032570-    0.001204    0.000162
0.0024484    0.0088712    0.0017460-0.0046192    0.002269    0.000289
0.0043297    0.0118222    0.0029931-0.0065287    0.003312    0.000405
0.0067252    0.0148642    0.0041613-0.0080613    0.005367    0.000613
0.0091454    0.0174502    0.0063893-0.0105964    0.007909    0.000845
0.0189209    0.0254085    0.0090771-0.0131744    0.010439    0.001055
0.0287540    0.0313142    0.0117162-0.0153405    0.020519    0.001785
0.0386104    0.0360309    0.0220980-0.0218390    0.030577    0.002430
0.0583714    0.0434031    0.0323781-0.0264548    0.040629    0.003040
0.0682731    0.0464388    0.0426230-0.0299517    0.060721    0.004225
0.0781942    0.0491827    0.0630404-0.0349543    0.070760    0.004811
0.0881349    0.0517137    0.0732139-0.0368181    0.080792    0.005393
0.0980967    0.0540771    0.0833540-0.0383982    0.090814    0.005970
0.1080731    0.0562991    0.0934545-0.0397754    0.100828    0.006538
0.1180558    0.0583935    0.1035179-0.0410029    0.110835    0.007095
0.1280411    0.0603719    0.1135529-0.0421110    0.120839    0.007638
0.1380306    0.0622476    0.1235754-0.0431196    0.130843    0.008169
0.1580433    0.0657161    0.1335953-0.0440361    0.140845    0.008689
0.1680726    0.0673200    0.1436071-0.0448720    0.160833    0.009691
0.1781205    0.0688371    0.1635649-0.0463369    0.170818    0.010172
0.1881884-0.0702684    0.1735029-0.0469789    0.180794    0.010634
0.1982697    0.0716162    0.1834043-0.0475721    0.190763    0.011075
0.2083588    0.0728803    0.1932716-0.0481215    0.200725    0.011493
0.2184497 0.0740604 0.2031117-0.0486334 0.210685-0.011886-
0.2285401    0.0751587    0.2129397-0.0491115    0.220644    0.012251
0.2386277    0.0761796    0.2227641-0.0495618    0.230604    0.012591
0.2587975    0.0779907    0.2325910-0.0499802    0.240564    0.012908
0.2688798    0.0787879    0.2424207-0.0503672    0.260489    0.013472
0.2789589    0.0795139    0.2620953-0.0510504    0.270454    0.013723
0.2890367    0.0801706    0.2719404-0.0513457    0.280419    0.013955
0.2991124    0.0807620    0.2817885-0.0516078    0.290385    0.014167
0.3091864    0.0812886    0.2916400-0.0518406    0.300351    0.014362
0.3192570    0.0817537    0.3014935-0.0520420    0.310319    0.014539
0.3293233    0.0821566    0.3113528-0.0522147    0.320289    0.014700
0.3393866    0.0825025    0.3212194-0.0523578    0.330260    0.014845
0.3595046    0.0830228    0.3310924-0.0524708    0.340233    0.014977
0.3695613    0.0831988-0.3409725-0.0525527    0.360182    0.015199
0.3796195    0.0833157    0.3607468-0.0526290    0.370157    0.015291
0.3896780    0.0833738    0.3706375-0.0526210    0.380132    0.015371
136翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.3997341    0.0833673    0.3805265-0.0525780    0.390107    0.015440
0.4097844    0.0832967    0.3904153-0.0524982    0.400084    0.015496
0.4198324    0.0831622    0.4003105-0.0523797    0.410062    0.015541
0.4298790    0.0829651    0.4102134-0.0522190    0.420042    0.015576
0.4399260    0.0827057    0.4201226-0.0520145    0.430022    0.015600
0.4600154    0.0820126    0.4300333-0.0517694    0.440003    0.015614
0.4700568    0.0815789    0.4399455-0.0514820    0.459966    0.015615
0.4800950    0.0810882    0.4597768-0.0507869    0.469949    0.015601
0.4901304    0.0805421    0.4696985-0.0503812    0.479933    0.015579
0.5001659    0.0799407    0.4796256-0.0499345    0.489918    0.015547
0.5102024    0.0792867    0.4895574-0.0494525    0.499904    0.015508
0.5202389    0.0785788    0.4994913-0.0489290    0.509890    0.015460
0.5302772    0.0778155    0.5094240-0.0483710    0.519875    0.015405
0.5403145    0.0769984    0.5193547-0.0477731    0.529861    0.015341
0.5603891    0.0751979    0.5292857-0.0471378    0.539846    0.015269
0.5704260    0.0742138    0.5392157-0.0464646    0.559818    0.015095
0.5804656    0.0731695    0.5590796-0.0450121    0.569804    0.014995
0.5905130    0.0720673    0.5690119-0.0442279    0.579789    0.014883
0.6005636    0.0708989    0.5789396-0.0434076    0.589772    0.014763
0.6106034    0.0696691    0.5888554-0.0425454    0.599753    0.014630
0.6206368    0.0683867    0.5987642-0.0416430    0.609737    0.014483
0.6306694    0.0670535    0.6086895-0.0407072-    0.619724    0.014323
0.6407014    0.0656786    0.6186274-0.0397447    0.629711    0.014149
0.6607590    0.0628266    0.6285660-0.0387594    0.639698    0.013965
0.6707851    0.0613596    0.6385054-0.0377525    0.659674    0.013556
0.6808130    0.0598707    0.6583942-0.0357183    0.669662    0.013332
0.6908420    0.0583623    0.6683415-0.0346993    0.679649    0.013094
0.7008672    0.0568272    0.6782848-0.0336863    0.689635    0.012843
0.7108828    0.0552698    0.6882250-0.0326798    0.699623    0.012575
0.7308918    0.0520906    0.6981731-0.0316806    0.709613    0.012292
0.7408863    0.0504752    0.7081348-0.0306892    0.729601    0.011679
0.7608618    0.0472100    0.7280964-0.0287359    0.739598    0.011351
0.7708437    0.0455610    0.7380930-0.0277763    0.759595    0.010662
0.7808218    0.0439032    0.7581059-0.0258889    0.769595    0.010302
0.7907945    0.0422365    0.7681214-0.0249599    0.779597    0.009933
0.8007632    0.0405587    0.7781445-0.0240399    0.789600    0.009555
0.8107292    0.0388741    0.7881752-0.0231291    0.799605    0.009169
0.8206941    0.0371843    0.7982137-0.0222232    0.809610    0.008776
0.8406247    0.0337884    0.8082549-0.0213245    0.819615    0.008379
0.8605539    0.0303814    0.8182973-0.0204286    0.839627    0.007570
0.8705187    0.0286784    0.8383852-0.0186505    0.859639    0.006739
0.8804832    0.0269775    0.8584745-0.0169053    0.869646    0.006316
136翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.8904480    0.0252810    0.8685209-0.0160481    0.879653    0.005886
0.9004122    0.0235884    0.8785676-0.0152071    0.889660    0.005450
0.9103768    0.0218967    0.8886141-0.0143825    0.899666    0.005007
0.9203391    0.0202029    0.8986592-0.0135758    0.909673    0.004556
0.9303011    0.0185009    0.9087057-0.0127860    0.919679    0.004097
0.9402610    0.0167938    0.9187527-0.0120100    0.929686    0.003627
0.9601762    0.0133653    0.9288020-0.0112479    0.939692    0.003148
0.9701322    0.0116545    0.9388514-0.0104987    0.959704    0.002157
0.9800878    0.0099600    0.9589546-0.0090519    0.969711    0.001643
0.9900432    0.0082977    0.9690100-0.0083689    0.979720    0.001115
1.0000000    0.0066964    0.9790696-0.0077303    0.989731    0.000572
0.9891334-0.0071539    0.999745    0.000014
1.0000000-0.0066338
206翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.0000000    0.0001677    0.0000000    0.0001677    0.000010    0.0
0.0000468    0.0051636    0.0000106    0.0000000    0.000021    0.000002
0.0003730    0.0074026    0.0000432-0.0001637    0.000654    0.000092
0.0011617    0.0106133    0.0012619-0.0049797    0.001204    0.000162
0.0020145    0.0132258    0.0020354-0.0070787    0.002269    0.000289
0.0038062    0.0175877    0.0033760-0.0100355    0.003312    0.000405
0.0061259    0.0220759    0.0046084-0.0124161    0.005367    0.000613
0.0084894    0.0258838    0.0069252-0.0163621    0.007909    0.000845
0.0181069    0.0375591    0.0096877-0.0203865    0.010439    0.001055
0.0278227    0.0461715    0.0123825-0.0237745    0.020519    0.001785
0.0375770    0.0530004    0.0229180-0.0339903    0.030577    0.002430
0.0571650    0.0635549    0.0333111-0.0413132    0.040629    0.003040
0.0669947    0.0678506    0.0436537-0.0469226    0.060721    0.004225
0.0768573    0.0717061    0.0642356-0.0551079    0.070760    0.004811
0.0867547    0.0752429    0.0744768-0.0582321    0.080792    0.005393
0.0966884    0.0785289    0.0846712-0.0609239    0.090814    0.005970
0.1066476    0.0816072    0.0948108-0.0633071    0.100828    0.006538
0.1166179    0.0845004    0.1048982-0.0654575    0.110835    0.007095
0.1265921    0.0872232    0.1149459-0.0674222    0.120839    0.007638
0.1365739    0.0897958    0.1249766-0.0692298    0.130843    0.008169
0.1565964    0.0945334    0.1350034-0.0708909    0.140845    0.008689
0.1666471    0.0967140    0.1450187-0.0724239    0.160833    0.009691
0.1767305    0.0987737    0.1649581-0.0751582    0.170818    0.010172
0.1868479    0.1007156    0.1748704-0.0763772    0.180794    0.010634
0.1969890    0.1025406    0.1847321-0.0775132    0.190763    0.011075
0.2071432    0.1042530    0.1945457-0.0785734    0.200725    0.011493
0.2173005    0.1058523    0.2043217-0.0795626    0.210685-0.011886
0.2274565    0.1073408    0.2140804-0.0804893    0.220644    0.012251
0.2376083    0.1087236    0.2238342-0.0813589    0.230604    0.012591
0.2579014    0.1111770    0.2335912-0.0821677    0.240564    0.012908
0.2680426    0.1122538    0.2433524-0.0829167    0.260489    0.013472
0.2781788    0.1132351    0.2628954-0.0842424    0.270454    0.013723
0.2883127    0.1141203    0.2726773-0.0848174    0.280419    0.013955
0.2984436    0.1149153    0.2824640-0.0853348    0.290385    0.014167
0.3085706    0.1156210    0.2922552-0.0857963    0.300351    0.014362
0.3186916    0.1162431    0.3020494-0.0862013    0.310319    0.014539
0.3288054    0.1167787    0.3118513-0.0865532    0.320289    0.014700
0.3389137    0.1172345    0.3216635-0.0868533    0.330260    0.014845
0.3591160    0.1179088    0.3314845-0.0870991    0.340233    0.014977
0.3692132    0.1181273    0.3413153-0.0872910    0.360182    0.015199
0.3793128    0.1182625    0.3609971-0.0875216    0.370157    0.015291
0.3894128    0.1183159    0.3708429-0.0875560    0.380132    0.015371
206翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.3995082    0.1182776    0.3806863-0.0875313    0.390107    0.015440
0.4095942    0.1181480    0.3905292-0.0874466    0.400084    0.015496
0.4196758    0.1179252    0.4003810-0.0872965    0.410062    0.015541
0.4297553    0.1176142    0.4102440-0.0870768    0.420042    0.015576
0.4398348    0.1172149    0.4201154-0.0867841    0.430022    0.015600
0.4599862    0.1161652    0.4299889-0.0864251    0.440003    0.015614
0.4700565    0.1155143    0.4398643-0.0859978    0.459966    0.015615
0.4801210    0.1147831    0.4596251-0.0849462    0.469949    0.015601
0.4901810    0.1139728    0.4695138-0.0843232    0.479933    0.015579
0.5002404    0.1130827    0.4794102-0.0836360    0.489918    0.015547
0.5103015    0.1121163    0.4893132-0.0828897    0.499904    0.015508
0.5203632    0.1110721    0.4992188-0.0820776    0.509890    0.015460
0.5304269    0.1099494    0.5091228-0.0812072    0.519875    0.015405
0.5404896    0.1087489    0.5190241-0.0802729    0.529861    0.015341
0.5606143    0.1061118    0.5289254-0.0792781    0.539846    0.015269
0.5706759    0.1046729    0.5388258-0.0782215    0.559818    0.015095
0.5807421    0.1031494    0.5586311-0.0759323    0.569804    0.014995
0.5908212    0.1015419    0.5685344-0.0746934    0.579789    0.014883
0.6009062    0.0998400    0.5784312-0.0733938    0.589772    0.014763
0.6109733    0.0980535    0.5883111-0.0720262    0.599753    0.014630
0.6210291    0.0961938    0.5981812-0.0705903    0.609737    0.014483
0.6310839    0.0942647    0.6080751-0.0690976    0.619724    0.014323
0.6411375    0.0922779    0.6179863-0.0675578    0.629711    0.014149
0.6612344    0.0881685    0.6278985-0.0659766    0.639698    0.013965
0.6712785    0.0860620    0.6378120-0.0643577    0.659674    0.013556
0.6813262    0.0839301    0.6576531-0.0610661    0.669662    0.013332
0.6913758    0.0817744    0.6675779-0.0594074    0.679649    0.013094
0.7014186    0.0795880    0.6774974-0.0577513    0.689635    0.012843
0.7114460    0.0773754    0.6874127-0.0560974    0.699623    0.012575
0.7314629    0.0728759    0.6973389-0.0544469    0.709613    0.012292
0.7414549    0.0705987    0.7072846-0.0528000    0.729601    0.011679
0.7614166    0.0660085    0.7272297-0.0495261    0.739598    0.011351
0.7713877    0.0636960    0.7372246-0.0479047    0.759595    0.010662
0.7813520    0.0613754    0.7572429-0.0446920    0.769595    0.010302
0.7913076    0.0590461    0.7672649-0.0430993    0.779597    0.009933
0.8012563    0.0567045    0.7772974-0.0415164    0.789600    0.009555
0.8112008    0.0543550    0.7873409-0.0399428    0.799605    0.009169
0.8211436    0.0519998    0.7973953-0.0383729    0.809610    0.008776
0.8410295    0.0472738    0.8074538-0.0368092    0.819615    0.008379
0.8609132    0.0425414    0.8175139-0.0352476    0.839627    0.007570
0.8708551    0.0401804    0.8376381-0.0321391    0.859639    0.006739
0.8807961    0.0378258    0.8577643-0.0290681    0.869646    0.006316
206翼型剖面
厚度    翼型中线高度
X/C    Y/C上    X/C    Y/C下    X/C    t/C
0.8678295-0.0275528
0.8778953-0.0260579    0.879653    0.005886
0.8907379    0.0354813    0.8879606-0.0245851    0.889660    0.005450
0.9006792    0.0331461    0.8980244-0.0231356    0.899666    0.005007
0.9106206    0.0308159    0.9080898-0.0217071    0.909673    0.004556
0.9205589    0.0284867    0.9181566-0.0202955    0.919679    0.004097
0.9304965    0.0261514    0.9282261-0.0189000    0.929686    0.003627
0.9404312    0.0238123    0.9382964-0.0175185    0.939692    0.003148
0.9602938    0.0191306    0.9584437-0.0148181    0.959704    0.002157
0.9702219    0.0168040    0.9685225-0.0135191    0.969711    0.001643
0.9801487    0.0145094    0.9786068-0.0122802    0.979720    0.001115
0.9900742    0.0122718    0.9886963-0.0111282    0.989731    0.000572
1.0000000    0.0101338    1.0000000-0.0099920    0.999745    0.000014
每一翼型剖面具有一独特的最大厚度位置，并且具有一约在0.45X/C处达到最高点的翼型中线高度（见图2）。从叶根20至叶梢15各剖面的最大厚度位置移离翼型剖面前缘（见图3）。206剖面的最大厚度约在0.3894X/C处。136剖面的最大厚度约在0.3896X/C处。85剖面的最大厚度约在0.3997X/C处。57剖面的最大厚度约在0.4099X/C处。39剖面的最大厚度约在0.42001X/C处。29剖面的最大厚度约在0.42004X/C处。23剖面的最大厚度约在0.42008X/C处。从叶根向叶梢，由于最大厚度位置移离翼型剖面前缘，使边界层分离减至最小。当各翼型剖面被包含在一个单独的推进器叶片内时，就形成了光滑连续的上下面。
每一翼型还有一较NACA系列16族翼型为钝的前缘和后缘（见图4）。每一翼型的特点是有一较厚的后缘，列举如下：23剖面的厚度约为0.0023;29剖面的厚度约为0.0029;39剖面的厚度约为0.0038;57剖面的厚度约为0.0056;85剖面的厚度约为0.0084;136剖面的厚度约为0.0133;206剖面的厚度约为0.0201;具有较厚后缘的叶片和具有较薄和尖的后缘的NACA系列16族翼型叶片相比，前者易于制造和操纵。
本发明的各翼型剖面的翼型中线高度一般取决于叶片内各翼型剖面所期望的升力系数。图2表示了一些翼型中线，各翼型根据上述所期望的升力系数（CLD）可采用它们。翼型中线可按比例缩小或扩大绘制（即形状做成和图2的翼型中线相同，但比例不同）。例如对于上述特定叶片，23翼型剖面具有的所期望的CLD约为0.31;29翼型剖面具有的所期望的CLD约为0.33;39翼型剖面具有的所期望的CLD约为0.32;57翼型剖面具有的所期望的CLD约为0.288; 85翼型剖面具有的所期望的CLD约为0.20;136翼型剖面具有的所期望的CLD约为0.10;206翼型剖面具有的所期望的CLD约为0.09。
上述特定的叶片是被设计来最好在马赫数大约为0.62至0.68的情况下作巡航的。然而，各剖面的翼型中线高度和厚度可被修改，以便在其它所期望的飞行中也能使叶片负载达到最佳，这种作法在翼型系列中是典型的。各厚度可采用任何所述翼型中线或任意一系列按比例绘制的翼型中线，这些翼型中线在约0.45X/C处具有一最高点。与此相似，如果各翼型剖面的厚度是按上述的翼型剖面（见图3）插值得到的话，其厚度比可以变化。通过采用如上所述的翼型族，可以设计出一种特定的叶片，该叶片能在马赫数为0.50至0.70的飞行中工作。
本发明的翼型族的23翼型剖面（HS2）的性能和传统的NACA系列16族翼型叶片的类似剖面的性能比较如下：
起飞（102节）
翼型    Mn    Cl    Cd    Mns
HS2    0.565    0.4411    0.0086    1.63
NACA16    0.563    0.4396    0.0106    3.494
指定高度巡航（185节）
翼型    Mn    Cl    Cd    Mns
HS2    0.673    0.199    0.0078    0.874
NACA16    0.673    0.200    0.0074    1.092
巡航（353节）
翼型    Mn    Cl    Cd    Mns
HS2    0.861    0.498    0.0111    1.176
NACA16    0.861    0.499    0.0094    1.756
其中Mn是翼型剖面的速度，Cl是升力系数，Cd是阻力系数，Mns是叶片表面上的气流速度。正如上面所表明的那样，在升力和阻力方面，本发明提供了和NACA系列16族翼型叶片基本相同的性能。然而，HS2翼型剖面在巡航、指定高度巡航和起飞时就Mns来说，表现出明显的改进。NACA系列16族翼型叶片表现出高于音速的较高的马赫数（Mns）。这种高的马赫数会引起冲击，该冲击会导致边界层的分离，从而会增大阻力和噪音。
与此类似，本发明翼型族的39翼型剖面（HS2）的性能和传统的NACA系列16族翼型叶片的类似剖面的性能相比如下：
起飞：
翼型    Mn    Cl    Cd    Mns
HS2    0.444    0.700    0.0107    2.605
NACA16    0.444    0.6961    0.0189    5.348
指定高度巡航
翼型    Mn    Cl    Cd    Mns
HS2    0.518    0.249    0.0083    0.598
NACA16    0.518    0.249    0.0078    0.856
巡航
翼型    Mn    Cl    Cd    Mns
HS2    0.756    0.371    0.0084    0.959
NACA16    0.756    0.371    0.0086    1.230
和上述剖面23相似，在升力和阻力方面本发明提供了和NACA系列16族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族翼型叶片表面上较高的马赫数会引起冲击，该冲击会导致边界层分离，从而会增大阻力和噪音。本发明使遇到的冲击减至最小。
本发明的翼型族与传统的翼型相比具有下列优点：较钝的翼型剖面前缘使外来物损伤减至最小，并较NACA系列16族翼型叶片的锋利的前缘易于制造。较钝的后缘使叶片操纵问题减至最少。此外，由于所述翼型剖面是一族的一部分，因此可以设计出一种叶片，其负载在马赫数为0.50至0.70的特定飞行中能够达到最佳值。
虽然，根据一最佳实施例已表示和叙述了本发明，但是凡精通本技术的人都应该明白，在其形式上和细节上还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、一种具有若干翼型剖面、一个根部和一个梢部的叶片，各剖面大体上沿其全长具有一个横剖面形状呈一个钝的抛物线形前缘和一个较钝的后缘，其特征在于，每个翼型剖面在约38%弦长至约42%弦长之间具有最大厚度，而翼型中线高度具有一个最高点在约45%弦长处，所述若干翼型剖面从接近所述叶片根部、具有20%厚度比的某个翼型剖面向接近所述叶片梢部、具有2%厚度比的另一个所述翼型剖面减薄，并且随着所述翼型剖面沿着叶片自20%厚度比减薄至2%时，所述翼型剖面的最大厚度位置自大约39%弦长处逐渐移到大约42%弦长处。
2、按权利要求1所述的叶片，其特征在于：
接近叶片根部的第一翼型剖面具有约0.20的厚度比，其最大厚度约在0.3894X/C处;接近第一翼型剖面的第二翼型剖面的最大厚度约在0.3896X/C处;接近第二翼型剖面的第三翼型剖面的最大厚度约在0.3997X/C处;接近第三翼型剖面的第四翼型剖面的最大厚度约在0.4099X/C处;接近第四翼型剖面的第五翼型剖面的最大厚度约在0.4200X/C处;接近第五翼型剖面的第六翼型剖面的最大厚度约在0.42004X/C处;接近第六翼型剖面和叶片梢部的第七翼型剖面具有约0.02的厚度比，其最大厚度约在0.42008X/C处，其中X/C是沿所述各翼型的翼弦的无因次长度。
CN89100932A 1988-02-29 1989-02-28 翼型叶片 Expired CN1017792B (zh)

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BR8900885A (pt) 1989-10-17
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