專利名稱：翼型葉片的制作方法
技術(shù)領(lǐng)域：
本發(fā)明涉及一種推進(jìn)器葉片，尤其涉及一種由新的翼型系列組成的推進(jìn)器葉片。
為了使推進(jìn)器重量做成最輕，希望采用窄的翼弦葉片。然而該種葉片須具有高的工作升力系數(shù)，以便提高所需的起飛推力，而且還須有為高效的巡航作業(yè)所需的低的工作升力系數(shù)。這種作業(yè)效率對于要求大范圍的指定高度和高速巡航的飛行斷面的飛機(jī)是特別重要的。
現(xiàn)有技術(shù)的推進(jìn)器葉片卻不能滿足這些需要，尤其是對于在0.50至0.70馬赫數(shù)范圍內(nèi)巡航的飛機(jī)。特別是NACA系列16葉片，在起飛，巡航和指定高度巡航速度時(shí)可能遭受不可接受的擊沖損失。因此在找尋新的翼型系列來應(yīng)用于推進(jìn)器葉片。
本發(fā)明的目的是要?jiǎng)?chuàng)新一種包括翼型斷面系列的葉片，它在起飛時(shí)提供高的工作升力系數(shù)，而在巡航和指定高度巡航速度時(shí)具有高效的工作特性。
本發(fā)明的另一目的是使由為工作于0.50至0.70馬赫數(shù)的航空器而設(shè)計(jì)的翼型系列所組成的推進(jìn)器葉片在起飛和巡航時(shí)沖擊損失減至最小。
本發(fā)明的又一目的是要?jiǎng)?chuàng)制一種具有對外物損傷不敏感的翼型斷面的葉片。
本發(fā)明的再一個(gè)目的是要?jiǎng)?chuàng)制一種具有易于加工的翼型斷面的葉片。
按照本發(fā)明，葉片由若干翼型斷面系列所組成，每一斷面的特點(diǎn)是有一些大的前沿半徑，弧高的最高點(diǎn)約在翼型斷面弦長的45％處。后沿較鈍。翼型斷面厚度比(厚度/葉長)從接近葉根的大約20％逐漸變薄至接近葉尖的大約2％。每翼型斷面沿著弦長的最大厚度從位于20％翼型斷面的大約39％弦長處增加到2％翼型斷面的大約42％弦長處。因此，本發(fā)明新葉片的性能在0.50至0.70馬赫數(shù)范圍內(nèi)比NACA系列16翼型優(yōu)越，對于外物損傷和加工不敏感。
按照附圖所示的最佳實(shí)施例如下詳細(xì)敘述。本發(fā)明的這些和另一些目的，性質(zhì)和優(yōu)點(diǎn)就會變得更加明顯。


圖1是本發(fā)明翼型的一系列斷面圖和一葉片平面圖，沿這些葉片斷面的中心線，表示了典型的位置，各翼型被放大以便表示其形狀細(xì)節(jié)。
圖2是發(fā)明翼型系列的弧高線的圖解表示法，X/C表示在弦線上的無因次位置，弧高/弦長表示弧高線對翼型弦的無因次高度；圖3是本發(fā)明翼型斷面厚度的圖解表示法，厚度比弦長是在相應(yīng)弦位置上翼型的無因次厚度X/C；圖4是本發(fā)明的翼型斷面的圖解表示法。
參照圖1，表示出本發(fā)明翼型葉片10的一系列橫剖面。葉片具有葉尖部分15和葉根部分20。葉片的每翼型斷面由包括等于厚度比(厚度/長度)乘以1000的二個(gè)數(shù)字的標(biāo)記表示。因此，例如，最上的翼型斷面23，其特點(diǎn)為厚度比是0.023，第二翼型斷面29其特點(diǎn)為厚度比是0.029，第三翼型斷面39其特點(diǎn)為厚度比是0.039，第四翼型斷面57其特點(diǎn)為厚度比是0.057，第五翼型斷面85；其特點(diǎn)為厚度比是0.085，第六翼型斷面136，其特點(diǎn)為厚度比是0.136，第七翼型橫面206，其特點(diǎn)為厚度比是0.206。
仍參照圖1，可以看到翼型橫斷面23是取自離葉片根部20、大約0.90葉片縱軸線長度的位置。翼型橫斷面29取自離葉根20大約0.85葉片縱軸線長度的位置。翼型橫斷面39取自離葉根20大約0.76葉片縱軸線長度的位置。與此類同，橫斷面57取自離葉根20大約0.53葉片縱軸線長度的位置，橫斷面85取自離葉根20大約0.45葉片縱軸線長度的位置，橫斷面136取自離葉根20大約0.29葉片縱軸線長度的位置，橫斷面206取自離葉根20大約0.23葉片縱軸線長度的位置。當(dāng)然，可以理解，當(dāng)翼型斷面的弦被表示為共同的長度時(shí)，有關(guān)葉片坡度的結(jié)構(gòu)考慮就表明了翼型斷面的相對尺寸，因而，本發(fā)明將不規(guī)定各翼型斷面間的比尺寸關(guān)系。
圖1中所示各翼型斷面間的葉片橫斷面按在該技術(shù)中熟知那種方式可由一連接任何二相鄰翼型形狀間的相應(yīng)部分的過渡面來決定，當(dāng)然，翼型橫斷面按該技術(shù)中熟知的方式可相互變換角度，以便對葉片輸入有效的阻力，從而形成由空氣動(dòng)力性能要求所確定的變化的葉片攻角。
下列表格列舉出本發(fā)明葉片實(shí)施例的大量翼型斷面的精確的無因次坐標(biāo)。X/C值是葉片弦長線上的無因次位置。 Y/C上是自弦長線到葉片負(fù)壓面上各點(diǎn)的無因次高度。Y/C下是自弦長線到葉片壓力面上各點(diǎn)的無因次高度。t/C值是自弦長線到各翼型斷面中線的彎曲部分(即弧高)的無因次高度。下面敘述的特殊翼型斷面形狀表示在圖4中。
HS202翼型 h/b＝.023 23翼型斷面厚度弧高上 下X/C Y/C X/C t/C0.0000000 0.00000000.0000000 0.00000000.000010 0.00.0000080 0.00002090.0000140-0.00001590.000021 0.0000020.0005594 0.00067930.0007288-0.00044930.000654 0.0000920.0010783 0.00100840.0013101-0.00060330.001204 0.0001620.0021049 0.00151150.0024139-0.00078840.002269 0.0002890.0031216 0.00193510.0034836-0.00092200.003312 0.0004050.0051403 0.00265820.0055756-0.00112590.005367 0.0006130.0076519 0.00342340.0081490-0.00131110.007909 0.0008450.0101592 0.00408790.0107026-0.00145040.010439 0.0010550.0201769 0.00622350.0208485-0.00175970.020519 0.0017850.0301895 0.00791870.0309555-0.00184270.030577 0.0024300.0402022 0.00937620.0410505-0.00177490.040629 0.0030400.0602284 0.01190390.0612155-0.00133900.060721 0.0042250.0702405 0.01305000.0712849-0.00102080.070760 0.0048110.0802512 0.01414290.0813419-0.00065850.080792 0.0053930.0902581 0.01519530.0913826-0.00026760.090814 0.0059700.1002631 0.01620930.1014092 0.00013860.100828 0.0065380.1102658 0.01718710.1114241 0.00055410.110835 0.0070950.1202673 0.01812870.1214342 0.00096970.120839 0.0076380.1302695 0.01903700.1314436 0.00138870.130843 0.0081690.1402709 0.01991750.1414498 0.00180950.140845 0.0036890.1602683 0.02158710.1614357 0.00264430.160833 0.0096910.1702647 0.02237940.1714128 0.00305520.170818 0.0101720.1802581 0.02313540.1813751 0.00345440.180794 0.0106340.1902500 0.02385500.1913247 0.00383700.190763 0.0110750.2002393 0.02453560.2012631 0.00420160.200725 0.0114930.2102287 0.02517460.2111973 0.00454580.210685 0.0118860.2202177 0.02576910.2211299 0.00486350.220644 0.0122510.2302073 0.02632340.2310639 0.00515920.230604 0.0125910.2401963 0.02683950.2409984 0.00543630.240564 0.0129080.2601773 0.02775590.2608746 0.00593020.260489 0.0134720.2701692 0.02816310.2708163 0.00615110.270454 0.0137230.2801604 0.02853600.2807587 0.00635720.280419 0.0139550.2901522 0.02887640.2907026 0.00654700.290385 0.0141670.3001435 0.02918800.3006469 0.00672340.300351 0.0143620.3101359 0.02946870.3105941 0.00688490.310319 0.0145390.3201293 0.02972140.3205443 0.00703530.320289 0.0147000.3301225 0.02994640.3304966 0.00717230.330260 0.0148450.3401167 0.03014790.3404521 0.00730190.340233 0.0149770.3601056 0.03047590.3603683 0.00752790.360182 0.0151990.3701000 0.03060600.3703276 0.00762890.370157 0.0152910.3800947 0.03071170.3802865 0.00772220.380132 0.015371
HS202翼型 h/b＝.023 23翼型斷面厚度 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翼型斷面厚度弧高上 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＝.02920翼型斷面厚度 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翼型斷面厚度 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翼型斷面厚度 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/CY/CX/Ct/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翼型斷面厚度 弧高上 下X/CY/CX/Ct/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 0.0094740.879653 0.008829
39翼型斷面厚度弧高上 下X/CY/CX/Ct/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翼型斷面厚度弧高上下X/CY/CX/Ct/C0.0000000 0.0000000 0.0000000 0.00000000.000010 0.00.0000021 0.0000484 0.0000199-0.00004240.000021 0.0000030.0003926 0.0015291 0.0008955-0.00125310.000654 0.0001380.0008499 0.0022307 0.0015382-0.00174470.001204 0.0002430.0018004 0.0032717 0.0027177-0.00240360.002269 0.0004340.0027647 0.0041338 0.0038393-0.00291780.003312 0.0006080.0047107 0.0055932 0.0060035-0.00375520.005367 0.0009190.0071608 0.0071181 0.0086375-0.00458400.007909 0.0012670.0096219 0.0084285 0.0112363-0.00526450.010439 0.0015820.0195114 0.0125532 0.0215072-0.00719710.020519 0.0026780.0294290 0.0157229 0.0317058-0.00843280.030577 0.0036450.0393590 0.0183571 0.0418801-0.00923700.040629 0.0045600.0592451 0.0227245 0.0621786-0.01004830.060721 0.0063380.0691988 0.0246276 0.0723031-0.01019540.070760 0.0072160.0791621 0.0264055 0.0824041-0.01022730.080792 0.0080890.0891339 0.0280899 0.0924764-0.01017970.090814 0.0089550.0991161 0.0296942 0.1025225-0.01008000.100828 0.0098070.1091049 0.0312285 0.1125481-0.00994220.110835 0.0106430.1190964 0.0326940 0.1225648-0.00977970.120839 0.0114570.1290897 0.0340972 0.1325798-0.00959080.130345 0.0122530.1390848 0.0354471 0.1425890-0.00937870.140845 0.0130340.1590902 0.0379853 0.1625601-0.00891290.160833 0.0145360.1691040 0.0391799 0.1725166-0.00866350.170818 0.0152580.1791260 0.0403183 0.1824468-0.00841590.180794 0.0159510.1891581 0.0413972 0.1923530-0.00817270.190763 0.0166120.1991960 0.0424173 0.2022395-0.00793890.200725 0.0172390.2092381 0.0433748 0.2121176-0.00771630.210685 0.0178290.2192810 0.0442660 0.2219930-0.00751350.220644 0.0183760.2293239 0.0450967 0.2318704-0.00732420.230604 0.0188860.2393650 0.0458709 0.2417495-0.00714640.240564 0.0193620.2594460 0.0472427 0.2615191-0.00682610.260489 0.0202080.2694856 0.0478502 0.2714097-0.00667960.270454 0.0205850.2795233 0.0484066 0.2813023-0.00654200.280419 0.0209320.2895606 0.0489116 0.2911973-0.00641100.290385 0.0212500.2995966 0.0493722 0.3010936-0.00628560.300351 0.0215430.3096322 0.0497844 0.3109943-0.00616780.310319 0.0218080.3196664 0.0501545 0.3209003-0.00605390.320289 0.0220500.3296983 0.0504810 0.3308107-0.00594640.330260 0.0222670.3397291 0.0507698 0.3407263-0.00583720.340233 0.0224660.3597864 0.0512284 0.3605675-0.00563170.360182 0.0227980.3698138 0.0514025 0.3704904-0.00552790.370157 0.0229370.3798421 0.0515372 0.3804123-0.00542450.380132 0.023056
57翼型斷面厚度 弧高上 下X/CY/CX/Ct/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 0.02233350.869646 0.009474 0.8602943 0.0200080
57翼型斷面厚度 弧高上下X/C Y/C X/C t/C0.8702759 0.0188367 0.8690202 0.00011160.879653 0.0088290.8802571 0.0176592 0.8790532-0.00000090.889660 0.0081750.8902386 0.0164768 0.8890860-0.00012650.899666 0.0075100.9002193 0.0152885 0.8991176-0.00026830.909673 0.0068340.9102007 0.0140924 0.9091504-0.00042420.919679 0.0061450.9201802 0.0128868 0.9191832-0.00059660.929686 0.0054400.9301599 0.0116654 0.9292178-0.00078520.939692 0.0047220.9401379 0.0104323 0.9392521-0.00098820.959704 0.0032350.9600911 0.0079252 0.9593233-0.00145510.969711 0.0024640.9700670 0.0066525 0.9693618-0.00172440.979720 0.0016730.9800434 0.0053728 0.9794037-0.00202670.989731 0.0008580.9900205 0.0040897 0.9894488-0.00237370.999745 0.0000211.0000000 0.0028162 1.0000000-0.0027956
85翼型斷面厚度 弧高上 下X/CY/CX/C t/C0.0000000 0.00007070.0000000 0.00007070.000010 0.00 0002713 0.00221250.0000023 0.00000000.000021 0.0000030.0006830 0.00320690.0000267-0.00006470.000654 0.0001380.0015773 0.00466440.0010213-0.00193650.001204 0.0002430.0025027 0.00586570.0017094-0.00272090.002269 0.0004340.0043949 0.00788800.0029448-0.00379650.003312 0.0006080.0067995 0.00999100.0041052-0.00464990.005367 0.0009190.0092266 0.01179010.0063225-0.00605020.007909 0.0012670.0190212 0.01740090.0090013-0.00745730.010439 0.0015820.0288684 0.02165360.0116337-0.00862640.020519 0.0026780.0387373 0.02513190.0219969-0.01204550.030577 0.0036450.0585195 0.03077050.0322634-0.01436440.040629 0.0045600.0684301 0.03317650.0424963-0.01601290.060721 0.0063380.0783583 0.03539820.0628936-0.01809590.070760 0.0072160.0883042 0.03748500.0730587-0.01874610.080792 0.0080890.0982695 0.03945870.0831922-0.01922210.090814 0.0089550.1082479 0.04133610.0932881-0.01957700.100828 0.0098070.1182320 0.04312110.1033486-0.01984680.110835 0.0106430.1282185 0.04482250.1133819-0.02005240.120839 0.0114570.1382090 0.04645150.1234035-0.02020970.130843 0.0122530.1582203 0.04949910.1334227-0.02031930.140845 0.0130340.1682470 0.05092500.1434340-0.02038640.160833 0.0145360.1782904 0.05228100.1633943-0.02043030.170818 0.0152580.1883521 0.05356580.1733354-0.02041250.180794 0.0159510.1984259 0.05477780.1832418-0.02038260.190763 0.0166120.2085070 0.05591690.1931158-0.02034550.200725 0.0172390.2185897 0.05697770.2029639-0.02030360.210685 0.0178290.2286720 0.05796520.2128005-0.02026280.220644 0.0183760.2387518 0.05888440.2226336-0.02022980.230604 0.0188860.2589065 0.06051620.2324690-0.02019740.240564 0.0193620.2689816 0.06123620.2423071-0.02016480.260489 0.0202080.2790536 0.06189470.2619978-0.02010470.270454 0.0205850.2891246 0.06249240.2718506-0.02007080.280419 0.0209320.2991937 0.06303470.2817063-0.02003540.290385 0.0212500.3092612 0.06351930.2915651-0.01999720.300351 0.0215430.3193257 0.06395310.3014258-0.01995350.310319 0.0218080.3293861 0.06433220.3112921-0.01990820.320289 0.0220500.3394439 0.06466570.3211654-0.01985800.330260 0.0222670.3595518 0.06518570.3310447-0.01980320.340233 0.0224660.3696036 0.06537740.3409307-0.01973880.360182 0.0227980.3796567 0.06551980.3607163-0.01959490.370157 0.0229370.3897101 0.06561780.3706124-0.01950860.380132 0.023056
85翼型斷面厚度 弧高上 下X/C Y/CX/C t/C0.3997614 0.0656633 0.3805070-0.01941290.390107 0.0231600.4098074 0.0656585 0.3904013-0.01930300.400084 0.0232440.4198514 0.0656049 0.4003018-0.01918050.410062 0.0233110.4298940 0.0655029 0.4102097-0.01904170.420042 0.0233640.4399371 0.0653535 0.4201234-0.01888220.430022 0.0234000.4600187 0.0649217 0.4300386-0.01870820.440003 0.0234210.4700568 0.0646377 0.4399552-0.01851670.459966 0.0234230.4800918 0.0643116 0.4597952-0.01808100.469949 0.0234020.4901242 0.0639414 0.4697208-0.01783900.479933 0.0233690.5001567 0.0635321 0.4796517-0.01757890.489918 0.0233200.5101902 0.0630807 0.4895870-0.01730670.499904 0.0232620.5202237 0.0625891 0.4995242-0.01701330.509890 0.0231900.5302589 0.0620557 0.5094606-0.01670590.519875 0.0231070.5402930 0.0614816 0.5193948-0.01638040.529861 0.0230110.5603617 0.0602035 0.5293294-0.01603880.539846 0.0229030.5703956 0.0595011 0.5392630-0.01568070.559818 0.0226420.5804319 0.0587492 0.5591340-0.01492450.569804 0.0224930.5904754 0.0579555 0.5690698-0.01452010.579789 0.0223240.6005218 0.0571070 0.5790012-0.01410620.589772 0.0221450.6105583 0.0562083 0.5889215-0.01367050.599753 0.0219450.6205889 0.0552660 0.5988349-0.01322190.609737 0.0217240.6306189 0.0542799 0.6087642-0.01276510.619724 0.0214840.6606482 0.0532590 0.6187053-0.01230280.629711 0.0212230.6607011 0.0511167 0.6286471-0.01183870.639698 0.0209470.6707248 0.0500026 0.6385896-0.01136970.659674 0.0203340.6807504 0.0488627 0.6584842-0.01045320.669662 0.0199980.6907768 0.0476995 0.6684343-0.01001110.679649 0.0196410.7007998 0.0465045 0.6783805-0.00958510.689635 0.0192650.7108140 0.0452819 0.6883237-0.00917380.699623 0.0188630.7308218 0.0427571 0.6982746-0.00878270.709613 0.0184380.7408168 0.0414590 0.7082382-0.00841010.729601 0.0175190.7607940 0.0388152 0.7282019-0.00772300.739598 0.0170260.7707772 0.0374689 0.7381986-0.00741080.759595 0.0159930.7807569 0.0361093 0.7582110-0.00683270.769595 0.0154530.7907315 0.0347372 0.7682257-0.00656630.779597 0.0148990.8007028 0.2333515 0.7782477-0.00631460.789600 0.0143320.8106714 0.0319553 0.7882768-0.00607640.799605 0.0137530.8206389 0.0305515 0.7983133-0.00584860.809□□ 0.0131640.8405750 0.0277225 0.8083525-0.00563030.81961□ 0.0125680.8605097 0.0248672 0.8183927-0.00541830.839627 0.011355
85翼型斷面厚度 弧高上 下X/CY/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 0.0000580.9891867-0.0039603 0.999745 0.0002211.0000000-0.0041632
138翼型斷面厚度 弧高上下X/C Y/C X/C t/C0.0000000 0.0001115 0.0000000 0.00011150.000010 0.00.0002460 0.0034410 0.0000033 0.00000000.000021 0.0000020.0006482 0.0049432 0.0000285-0.00010750.000654 0.0000920.0015309 0.0071066 0.0010484-0.00325700.001204 0.0001620.0024484 0.0088712 0.0017460-0.00461920.002269 0.0002890.0043297 0.0118222 0.0029931-0.00652870.003312 0.0004050.0067252 0.0148642 0.0041613-0.00806130.005367 0.0006130.0091454 0.0174502 0.0063893-0.01059640.007909 0.0008450.0189209 0.0254085 0.0090771-0.01317440.010439 0.0010550.0287540 0.0313142 0.0117162-0.01534050.020519 0.0017850.0386104 0.0360309 0.0220980-0.02183900.030577 0.0024300.0583714 0.0434031 0.0323781-0.02645480.040629 0.0030400.0682731 0.0464388 0.0426230-0.02995170.060721 0.0042250.0781942 0.0491827 0.0630404-0.03495430.070760 0.0048110.0881349 0.0517137 0.0732139-0.03681810.080792 0.0053930.0980967 0.0540771 0.0833540-0.03839820.090814 0.0059700.1080731 0.0562991 0.0934545-0.03977540.100828 0.0065380.1180558 0.0583935 0.1035179-0.04100290.110835 0.0070950.1280411 0.0603719 0.1135529-0.04211100.120839 0.0076380.1380306 0.0622476 0.1235754-0.04311960.130843 0.0081690.1580433 0.0657161 0.1335953-0.04403610.140845 0.0086890.1680726 0.0673200 0.1436071-0.04487200.160833 0.0096910.1781205 0.0688371 0.1635649-0.04633690.170818 0.0101720.1881884 0.0702684 0.1735029-0.04697890.180794 0.0106340.1982697 0.0716162 0.1834043-0.04757210.190763 0.0110750.2083588 0.0728803 0.1932716-0.04812150.200725 0.0114930.2184497 0.0740604 0.2031117-0.04863340.210685 0.0118860.2285401 0.0751587 0.2129397-0.04911150.220644 0.0122510.2386277 0.0761796 0.2227641-0.04956180.230604 0.0125910.2587975 0.0779907 0.2325910-0.04998020.240564 0.0129080.2688798 0.0787879 0.2424207-0.05036720.260489 0.0134720.2789589 0.0795139 0.2620953-0.05105040.270454 0.0137230.2890367 0.0801706 0.2719404-0.05134570.280419 0.0139550.2991124 0.0807620 0.2817885-0.05160780.290385 0.0141670.3091864 0.0812886 0.2916400-0.05184060.300351 0.0143620.3192570 0.0817537 0.3014935-0.05204200.310319 0.0145390.3293233 0.0821566 0.3113528-0.05221470.320289 0.0147000.3393866 0.0825025 0.3212194-0.05235780.330260 0.0148450.3595046 0.0830228 0.3310924-0.05247080.340233 0.0149770.3695613 0.0831988 0.3409725-0.05255270.360182 0.0151990.3796195 0.0833157 0.3607468-0.05262900.370157 0.0152910.3896780 0.0833738 0.3706375-0.05262100.380132 0.015371
136翼型斷面厚度弧高上 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翼型斷面Thickness厚度 弧高上下X/C Y/C X/C t/C0.8904480 0.02528100.8685209-0.01604810.879653 0.0058860.9004122 0.02358840.8785676-0.01520710.889660 0.0054500.9103768 0.02189670.8886141-0.01438250.899666 0.0050070.9203391 0.02020290.8986592-0.01357580.909673 0.0045560.9303011 0.01850090.9087057-0.01278600.919679 0.0040970.9402610 0.01679380.9187527-0.01201000.929686 0.0036270.9601762 0.01336530.9288020-0.01124790.939692 0.0031480.9701322 0.01165450.9388514-0.01049870.959704 0.0021570.9800878 0.00996000.9589546-0.00905190.969711 0.0016430.9900432 0.00829770.9690100-0.00836890.979720 0.0011151.0000000 0.00669640.9790696-0.00773030.989731 0.0005720.9891334-0.00715390.999745 0.0000141.0000000-0.0066338
206翼型斷面厚度弧高上 下X/CY/CX/C t/C0.0000000 0.00016770.0000000 0.00016770.000010 0.00.0000468 0.00516360.0000106 0.00000000.000021 0.0000020.0003730 0.00740260.0000432-0.00016370.000654 0.0000920.0011617 0.01061330.0012619-0.00497970.001204 0.0001620.0020145 0.01322580.0020354-0.00707870.002269 0.0002890.0038062 0.01758770.0033760-0.01003550.003312 0.0004050.0061259 0.02207590.0046084-0.01241610.005367 0.0006130.0084894 0.02588380.0069252-0.01636210.007909 0.0008450.0181069 0.03755910.0096877-0.02038650.010439 0.0010550.0278227 0.04617150.0123825-0.02377450.020519 0.0017850.0375770 0.05300040.0229180-0.03399030.030577 0.0024300.0571650 0.06355490.0333111-0.04131320.040629 0.0030400.0669947 0.06785060.0436537-0.04692260.060721 0.0042250.0768573 0.07170610.0642356-0.05510790.070760 0.0048110.0867547 0.07524290.0744768-0.05823210.080792 0.0053930.0966884 0.07852890.0846712-0.06092390.090814 0.0059700.1066476 0.08160720.0948108-0.06330710.100828 0.0065380.1166179 0.08450040.1048982-0.06545750.110835 0.0070950.1265921 0.08722320.1149459-0.06742220.120839 0.0076380.1365739 0.08979580.1249766-0.06922980.130843 0.0081690.1565964 0.09453340.1350034-0.07089090.140845 0.0086890.1666471 0.09671400.1450187-0.07242390.160833 0.0096910.1767305 0.09877370.1649581-0.07515820.170818 0.0101720.1868479 0.10071560.1748704-0.07637720.180794 0.0106340.1969890 0.10254060.1847321-0.07751320.190763 0.0110750.2071432 0.10425300.1945457-0.07857340.200725 0.0114930.2173005 0.10585230.2043217-0.07956260.210685 0.0118860.2274565 0.10734080.2140804-0.08048930.220644 0.0122510.2376083 0.10872360.2238342-0.08135890.230604 0.0125910.2579014 0.11117700.2335912-0.08216770.240564 0.0129080.2680426 0.11225380.2433524-0.08291670.260489 0.0134720.2781788 0.11323510.2628954-0.08424240.270454 0.0137230.2883127 0.11412030.2726773-0.08481740.280419 0.0139550.2984436 0.11491530.2824640-0.08533480.290385 0.0141670.3085706 0.11562100.2922552-0.08579630.300351 0.0143620.3186916 0.11624310.3020494-0.08620130.310319 0.0145390.3288054 0.11677870.3118513-0.08655320.320289 0.0147000.3389137 0.11723450.3216635-0.08685330.330260 0.0148450.3591160 0.11790880.3314845-0.08709910.340233 0.0149770.3692132 0.11812730.3413153-0.08729100.360182 0.0151990.3793128 0.11826250.3609971-0.08752160.370157 0.0152910.3894128 0.11831590.3708429-0.08755600.380132 0.015371
206翼型斷面厚度弧高上 下X/C Y/C X/C t/C0.3995082 0.1182776 0.3806863-0.08753130.390107 0.0154400.4095942 0.1181480 0.3905292-0.08744660.400084 0.0154960.4196758 0.1179252 0.4003810-0.08729650.410062 0.0155410.4297553 0.1176142 0.4102440-0.08707680.420042 0.0155760.4398348 0.1172149 0.4201154-0.08678410.430022 0.0156000.4599862 0.1161652 0.4299889-0.08642510.440003 0.0156140.4700565 0.1155143 0.4398643-0.08599780.459966 0.0156150.4801210 0.1147831 0.4596251-0.08494620.469949 0.0156010.4901810 0.1139728 0.4695138-0.08432320.479933 0.0155790.5002404 0.1130827 0.4794102-0.08363600.489918 0.0155470.5103015 0.1121163 0.4893132-0.08288970.499904 0.0155080.5203632 0.1110721 0.4992188-0.08207760.509890 0.0154600.5304269 0.1099494 0.5091228-0.08120720.519875 0.0154050.5404896 0.1087489 0.5190241-0.08027290.529861 0.0153410.5606143 0.1061118 0.5289254-0.07927810.539846 0.0152690.5706759 0.1046729 0.5388258-0.07822150.559818 0.0150950.5807421 0.1031494 0.5586311-0.07593230.569804 0.0149950.5908212 0.1015419 0.5685344-0.07469340.579789 0.0148830.6009062 0.0998400 0.5784312-0.07339380.589772 0.0147630.6109733 0.0980535 0.5883111-0.07202620.599753 0.0146300.6210291 0.0961938 0.5981812-0.07059030.609737 0.0144830.6310839 0.0942647 0.6080751-0.06909760.619724 0.0143230.6411375 0.0922779 0.6179863-0.06755780.629711 0.0141490.6612344 0.0881685 0.6278985-0.06597660.639698 0.0139650.6712785 0.0860620 0.6378120-0.06435770.659674 0.0135560.6813262 0.0839301 0.6576531-0.06106610.669662 0.0133320.6913758 0.0817744 0.6675779-0.05940740.679649 0.0130940.7014186 0.0795880 0.6774974-0.05775130.689635 0.0128430.7114460 0.0773754 0.6874127-0.05609740.699623 0.0125750.7314629 0.0728759 0.6973389-0.05444690.709613 0.0122920.7414549 0.0705987 0.7072846-0.05280000.729601 0.0116790.7614166 0.0660085 0.7272297-0.04952610.739598 0.0113510.7713877 0.0636960 0.7372246-0.04790470.759595 0.0106620.7813520 0.0613754 0.7572429-0.04469200.769595 0.0103020.7913076 0.0590461 0.7672649-0.04309930.779597 0.0099330.8012563 0.0567045 0.7772974-0.04151640.789600 0.0095550.8112008 0.0543550 0.7873409-0.03994280.799605 0.0091690.8211436 0.0519998 0.7973953-0.03837290.809610 0.0087760.8410295 0.0472738 0.8074538-0.03680920.819615 0.0083790.8609132 0.0425414 0.8175139-0.03524760.839627 0.0075700.8708551 0.0401804 0.8376381-0.03213910.859639 0.0067390.8807961 0.0378258 0.8577643-0.02906810.869646 0.006316
206翼型斷面厚度 弧高上 下X/C Y/CX/Ct/C0.8678295-0.02755280.879653 0.0058860.8907379 0.03548130.8778953-0.02605790.889660 0.0054500.9006792 0.03314610.8879606-0.02458510.899666 0.0050070.9106206 0.03081590.8980244-0.02313560.909673 0.0045560.9205589 0.02848670.9080898-0.02170710.919679 0.0040970.9304965 0.02615140.9181566-0.02029550.929686 0.0036270.9404312 0.02381230.9282261-0.01890000.939692 0.0031480.9602938 0.01913060.9382964-0.01751850.959704 0.0021570.9702219 0.01680400.9584437-0.01481810.969711 0.0016430.9801487 0.01450940.9685225-0.01351910.979720 0.0011150.9900742 0.01227180.9786068-0.01228020.989731 0.0005721.0000000 0.01013380.9886963-0.01112820.999745 0.0000141.0000000-0.0099920
每一翼型斷面約在0.45X/C處(見圖3)具有唯一的最大厚度和最高點(diǎn)的弧高的位置。從葉根20至葉頂15各斷面的最大厚度位置移離翼型斷面前沿(見圖4)。206斷面的最大厚度約在0.3894X/C處。136翼型的最大厚度約在0.3896X/C處。85斷面的最大厚度約在0.3997X/C處。57斷面的最大厚度約在0.4099X/C處。39斷面的最大厚度約在0.42001X/C處。29斷面的最大厚度約在0.42004X/C處。23斷面的最大厚度約在0.42008X/C處。從葉根向葉頂，由于最大厚度位置移離翼型斷面前沿，使邊界層脫離減至最小。當(dāng)各翼型被包含在一個(gè)單獨(dú)的推進(jìn)器葉片內(nèi)時(shí)，形成了光滑連續(xù)的上下面。
每一翼型還有一較NACA系列16翼型為鈍的前沿和后沿(見圖4)。每一翼型的特點(diǎn)是有較厚的后沿，列舉如下23斷面的厚度約為0.0023；29斷面的厚度約為0.0029；39斷面的厚度約為0.0038；57斷面的厚度約為0.0056；85斷面的厚度約為0.0084；136斷面的厚度約為0.0133；206斷面的厚度約為0.0201；具有較厚后沿的葉片和具有較薄和尖的后沿的NACA16葉片相比，前者易于制造和加工。
本發(fā)明的各翼型斷面的弧高一般取決于葉片內(nèi)各翼型斷面所需的升力系數(shù)。圖2表示了一些弧高線，各翼型根據(jù)上述所期望的升力系數(shù)(CLD)可采用它們?；「呔€可被定標(biāo)(即形狀做成和圖2的弧高線類同，但比例尺不同)。例如對于上述特殊葉片，23翼型斷面具有所期望的約0.31CLD；29翼型斷面具有所期望的約0.33CLD；39翼型斷面具有所期望的約0.32CLD；57翼型斷面具有所期望的約0.288CLD；85翼型斷面具有所期望的約0.20CLD；136翼型斷面具有所期望的約0.10CLD；206翼型斷面具有所期望的約0.09CLD。
上述特殊葉片是被設(shè)計(jì)來約以0.62至0.68馬赫數(shù)作最佳巡航的。然而，因?yàn)樵谝硇拖盗兄惺堑湫偷?，各斷面的弧高和厚度可被修改來達(dá)到其它所期望的飛行斷面的最佳葉片載荷。各厚度可采用任何所述弧高線或任意一系列標(biāo)定的弧高線，它們約在0.45X/C處具有一最高點(diǎn)。與此相似，如果各翼型斷面的厚度是按上述的翼型斷面(見圖3)插值得到的；其厚度比可以變化。如上所述，通過采用該翼型系列，可以設(shè)計(jì)一種特殊葉片能在0.50至0.70馬赫數(shù)間以其飛行斷面工作。
本發(fā)明翼型系列的23翼型斷面(HS2)的性能和傳統(tǒng)的NACA系列16葉片的類似斷面的性能比較如下起飛(102節(jié))翼型 Mn ClCd MnsHS20.565 0.44110.0086 1.63NACA16 0.563 0.43960.0106 3.494指定高度巡航(185節(jié))翼型Mn Cl Cd MnsHS20.6730.199 0.0078 0.874NACA16 0.6730.0074 0.0074 1.092巡航(353節(jié))翼型Mn Cl Cd MnsHS20.8610.498 0.0111 1.176NACA16 0.8610.499 0.0094 1.756
其中Mn是翼型斷面的速度，Cl是升力系數(shù)，Cd是牽引系數(shù)，Mns是葉片表面上的氣流速度。正如上面所表明的，在升力和牽引力方面，本發(fā)明提供了和NACA16翼型葉片基本相同的性能。然而，HS2翼型斷面在巡航，指定高度和起飛時(shí)就Mns來說，表現(xiàn)出明顯的改進(jìn)。 NACA系列16葉片在高于音速時(shí)表現(xiàn)出較高的馬赫數(shù)(Mns)。這種高的馬赫數(shù)引起沖擊，它導(dǎo)致邊界層的脫離，從而要求增加牽引力和提高了噪音。
與此類似，本發(fā)明翼型系列的39翼型斷面(HS2)的性能和傳統(tǒng)的NACA系列16葉片的類似斷面的性能相比如下起飛翼型 Mn Cl Cd MnsHS20.444 0.700 0.0107 2.605NACA160.444 0.6961 0.0189 5.348指定高度巡航翼型 Mn Cl Cd MnsHS20.518 0.249 0.0083 0.598NACA160.518 0.249 0.0078 0.856巡航翼型 Mn Cl Cd MnsHS20.756 0.371 0.0084 0.959NACA160.756 0.371 0.0084 1.230和上述斷面23相似，在升力和牽引力方面本發(fā)明提供了和NACA16翼型葉片基本相同的性能。然而，在巡航和起飛時(shí)，就Mns來說，表現(xiàn)出明顯的改進(jìn)。在NACA系列16葉片表面上高的馬赫數(shù)引起了沖擊，它導(dǎo)致邊界層脫離，從而要求增加牽引力，并提高了噪音。本發(fā)明使遇到的沖擊減至最小。
本發(fā)明的翼型系列比傳統(tǒng)的翼型具有下列優(yōu)點(diǎn)較鈍的翼型斷面前沿使外物損傷減至最小，并較NACA系列16葉片的鋒利的前沿易于制造。較鈍的后沿使葉片加工問題減至最少。此外，由于所述翼型斷面是系列的一部分，可以設(shè)計(jì)出一種葉片，為在0.50至0.70馬赫數(shù)之間的特殊飛行斷面提供最佳載荷。
雖然，根據(jù)其最佳實(shí)施例已表示和敘述了本發(fā)明，凡精通本技術(shù)的人應(yīng)該明白，在其形式上和細(xì)節(jié)上可以作出上述和各種其它變化、省略和添加而不脫離本發(fā)明的精神和范圍。
權(quán)利要求
1.一種具有若干翼型斷面一根部和一頂部的葉片，其特征在于各斷面大體上沿其全長具有一種以鈍的拋物面前沿為特點(diǎn)的橫斷面，其最大厚度約在38％和42％弦長之間，約在45％弦長處弧高具有一最高點(diǎn)，后沿較鈍；若干斷面從接近葉片根部的具有20％厚度比的某個(gè)翼型斷面向接近葉片頂部的具有2％厚度比的某個(gè)翼型斷面減薄，由于所述翼型斷面沿著葉片自20％厚度比減薄至2％厚度比，所述翼型斷面的最大厚度比的位置自大約38％弦長上逐漸移至大約42％弦長上。
2.按權(quán)利要求1所述的葉片，其特征在于接近第一翼型斷面具有約0.20厚度比，其最大厚度比約處在0.3894X/C處；接近第一翼型斷面的第二翼型斷面其最大厚度比約處在0.3896X/C處；接近第二翼型斷面的第三翼型斷面其最大厚度比約處在0.3997X/C處；接近第三翼型斷面的第四翼型斷面其最大厚度比約處在0.4099X/C處；接近第四翼型斷面的第五翼型斷面其最大厚度比約處在0.4200X/C處；接近第五翼型斷面的第六翼型斷面其最大厚度比約處在0.42004X/C處；接近第六翼型斷面和頂部的第七翼型具有約0.02厚度比，其最大厚度比約處在0.42008X/C處，其中X/C是沿所述各翼形弦長的無因次長度。
全文摘要
一葉片由若干翼型斷面系列(23、29、39、57、85、136、206)組成，各斷面的特點(diǎn)為有一大的前沿半徑，弧高約在45％翼型斷面弦長處具有一最高點(diǎn)，后沿較鈍。翼型斷面的厚度比(h/b)自接近葉根(20)的約20％減薄到接近葉頂(15)的2％。各翼型斷面的最大厚度沿其弦長從20％翼型斷面的約39％翼型斷面弦長增到2％翼型斷面的約42％翼型斷面弦長。故本發(fā)明新的葉片在0.50至0.70馬赫數(shù)范圍內(nèi)具有較NACA系列16翼型更優(yōu)越的空氣動(dòng)力性能，而對外物損傷和加工問題不敏感。
文檔編號B64C11/18GK1036536SQ8910093
公開日1989年10月25日 申請日期1989年2月28日 優(yōu)先權(quán)日1988年2月29日
發(fā)明者哈里·斯蒂芬·懷瑙斯基, 卡羅爾·瑪麗·瓦齊 申請人:聯(lián)合工藝公司