CN1576516A - 涡轮叶片的翼面形状 - Google Patents

涡轮叶片的翼面形状 Download PDF

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CN1576516A
CN1576516A CNA2004100635843A CN200410063584A CN1576516A CN 1576516 A CN1576516 A CN 1576516A CN A2004100635843 A CNA2004100635843 A CN A2004100635843A CN 200410063584 A CN200410063584 A CN 200410063584A CN 1576516 A CN1576516 A CN 1576516A
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CN100362211C (zh
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P·G·克勒维兰
T·B·贝达
S·M·斯帕克斯
J·A·韦伯
J·B·费尔伯格
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F01MACHINES OR ENGINES IN GENERAL; ENGINE PLANTS IN GENERAL; STEAM ENGINES
    • F01DNON-POSITIVE DISPLACEMENT MACHINES OR ENGINES, e.g. STEAM TURBINES
    • F01D5/00Blades; Blade-carrying members; Heating, heat-insulating, cooling or antivibration means on the blades or the members
    • F01D5/12Blades
    • F01D5/14Form or construction
    • F01D5/141Shape, i.e. outer, aerodynamic form
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F01MACHINES OR ENGINES IN GENERAL; ENGINE PLANTS IN GENERAL; STEAM ENGINES
    • F01DNON-POSITIVE DISPLACEMENT MACHINES OR ENGINES, e.g. STEAM TURBINES
    • F01D5/00Blades; Blade-carrying members; Heating, heat-insulating, cooling or antivibration means on the blades or the members
    • F01D5/12Blades
    • F01D5/14Form or construction
    • F01D5/18Hollow blades, i.e. blades with cooling or heating channels or cavities; Heating, heat-insulating or cooling means on blades
    • F01D5/187Convection cooling
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F05INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
    • F05DINDEXING SCHEME FOR ASPECTS RELATING TO NON-POSITIVE-DISPLACEMENT MACHINES OR ENGINES, GAS-TURBINES OR JET-PROPULSION PLANTS
    • F05D2250/00Geometry
    • F05D2250/70Shape
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F05INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
    • F05DINDEXING SCHEME FOR ASPECTS RELATING TO NON-POSITIVE-DISPLACEMENT MACHINES OR ENGINES, GAS-TURBINES OR JET-PROPULSION PLANTS
    • F05D2260/00Function
    • F05D2260/20Heat transfer, e.g. cooling
    • F05D2260/202Heat transfer, e.g. cooling by film cooling
    • YGENERAL 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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    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T50/00Aeronautics or air transport
    • Y02T50/60Efficient propulsion technologies, e.g. for aircraft
    • YGENERAL 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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    • Y10STECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10S416/00Fluid reaction surfaces, i.e. impellers
    • Y10S416/02Formulas of curves

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Abstract

第一级涡轮叶片(16)的翼面轮廓基本上按照表1所示的笛卡儿坐标值X,Y和Z。其中,X和Y值用英寸表示,Z值为0.05翼展~0.95翼展的无量纲值。通过将Z值乘以用英寸计的翼面高度,可将Z值转换为用英寸表示的Z距离。当用圆滑的连续圆弧连接时,X和Y值为在每一个距离Z处形成翼面轮廓截面(40)的距离。在每一个距离Z处的轮廓截面圆滑地互相连接,形成完全的翼面形状,X,Y和Z距离可以作为同一个常数或数值的函数而比例放大或缩小,以形成叶片的比例放大或缩小的翼面截面。由X,Y和Z距离给出的名义翼面位于与翼面表面垂直的方向上±0.150英寸的包络面内。

Description

涡轮叶片的翼面形状
技术领域
本发明涉及燃气涡轮的一个级的叶片的翼面,特别是涉及第一级涡轮叶片的翼面轮廓。
背景技术
为了满足包括总的改善的效率和翼面负载在内的设计目标,对于燃气涡轮的热的燃气通道部分的每一级,都必需满足许多***要求。特别是,涡轮部分的第一级的叶片必需满足该特定级的热的和机械的工作要求。
发明概述
根据本发明的优选实施例,提供了提高燃气涡轮的性能的燃气涡轮叶片,特别是第一级叶片的独特的翼面形状。当前的翼面形状是现有的翼面设计的改进。具体地说,通过从先前已知的设计重新制造叶片后缘,本翼面是独特的,并且不是直接按先前已知叶片翼面的比例变化的。更具体地说是,沿着先前已知的设计的叶片后缘的整个长度将后缘缩减,使它具有整个新的总翼面轮廓。
为了达到必要的效率和负载要求,叶片翼面轮廓由唯一的点轨迹构成。这些唯一的点轨迹限定了名义的翼面轮廓,并用下面的表1的笛卡儿坐标的X、Y和Z标注。表1所示的坐标值的1000个点是相对于涡轮中心线的,并且适用于冷态(即室温)叶片的沿着叶片长度的叶片翼面的各个横截面。正的X、Y和Z方向分别为朝向涡轮的排气端的轴向,发动机回转方向的切线方向,和朝向叶片顶端的径向向外方向。X和Y坐标用距离尺寸给出(例如以英寸为单位),并且在每一个Z位置圆滑地连接,形成圆滑的连续的翼面横截面。Z坐标以无量纲形式给出,从0.05(5%)翼展至0.95(95%)翼展。通过将翼面高度尺寸(例如英寸)与表1的无量纲Z值相乘,得出叶片翼面的翼面形状(即轮廓)。在XY平面内的每一个限定的翼面截面,圆滑地与Z方向的相邻的翼面截面连接,形成完整的翼面形状。与先前的已知叶片比较,所产生的翼面后缘缩减。
当在使用中每一个叶片翼面发热时,由于机械负载和温度的影响,轮廓会改变。这样,为了制造的目的,由X、Y和Z坐标给出冷的或室温的轮廓。因为制造的叶片翼面轮廓可能与由下表给出的名义的翼面轮廓不同,离开与沿着名义轮廓的任何表面位置垂直的方向,并包括涂层的名义轮廓的正或负0.150英寸的距离,形成这个叶片翼面的轮廓包络面。翼面形状对于这种变化是能耐受的,不会损害叶片的机械和空气动力学功能。
为了能够引用到相似的涡轮设计中,该翼面的几何形状比例可放大或缩小。结果,下面给出的名义翼面轮廓的以英寸表示的X和Y坐标和转换为英寸的无量纲的Z坐标,可以为相同的常数或数值的函数。即:用英寸表示的X和Y坐标和转换为英寸的Z坐标值,可以与相同的常数或数值相乘或被后者除,形成叶片翼面轮廓的比例放大或缩小形式,同时保持翼面截面的形状。
在根据本发明的一个优选实施例中,提供了一种涡轮叶片。该叶片包括名义翼面轮廓基本上是按照表1所述的笛卡儿坐标值X、Y和Z的叶片翼面。在表1中,Z值为无量纲值,由0.05翼展至0.95翼展,可通过将Z值与以英寸计的翼面高度相乘,转换为以英寸表示的Z距离;而X和Y为以英寸表示的距离。当与圆滑的连续圆弧连接时,X和Y距离在每一个距离Z处形成翼面轮廓。在Z距离处的轮廓截面圆滑地互相连接,形成一个完全的翼面形状。
在根据本发明的另一个优选实施例中,提供了一种涡轮叶片。该叶片包括其没有涂层的名义翼面轮廓基本上是按照表1所示的笛卡儿坐标值X,Y和Z的叶片翼面。在表1中,Z值为无量纲值,由0.05翼展至0.95翼展,可通过将Z值与以英寸计的翼面高度相乘,转换为以英寸表示的Z距离;而X和Y为以英寸表示的距离,当与圆滑的连续圆弧连接时,X和Y距离便限定在每一个距离Z处的翼面轮廓。在Z距离处的轮廓截面圆滑地互相连接,形成一个完整的翼面形状。而X和Y距离作为相同常数或数值的函数,形成比例可放大或缩小的翼面。
在根据本发明的另一个优选实施例中,一种涡轮,它包括具有多个叶片的涡轮叶轮,每一个所述的叶片包括其翼面的名义轮廓基本上按照表1所示的X,Y和Z的笛卡儿坐标值;其中,Z值为0.05翼展~0.95翼展的无量纲值,它可通过将Z值与用英寸表示的翼面高度相乘,转换为用英寸表示的Z距离;并且X和Y为用英寸表示的距离,当用圆滑的连续圆弧连接时,X和Y距离便限定在每一个距离Z处的翼面轮廓截面,在Z距离处的轮廓截面圆滑地互相连接,形成完整的翼面形状。
在本发明的又一个优先实施例中,一种涡轮具有多个叶片的涡轮叶轮(19),每一个所述叶片包括其没有涂层的名义翼面轮廓基本上按照表1所示的笛卡儿坐标值X,Y和Z,其中,Z值为0.05翼展~0.95翼展的无量纲值,它可通过将Z值与用英寸表示的翼面高度相乘,转换为用英寸表示的Z距离,当用圆滑的连续圆弧连接时,X和Y距离便限定在每一个距离Z处的翼面轮廓截面40,在Z距离处的轮廓截面圆滑地互相连接,形成完整的翼面形状。
附图的简要说明
图1为通过燃气涡轮的多个级的热的气体通道的示意图,并表示根据本发明的一个优选实施例的第一级的叶片翼面;
图2为根据本发明的一个优选实施例的叶片的透视图,其叶片翼面带有平台、柄和接近轴向入口的燕尾连接;
图3为图2所示的叶片的侧视图;
图4为图2所示叶片的相反一侧的侧视图;
图5和6为从翼面的前缘和后缘看的叶片的相应的相反的端视图;
图7为从叶片顶部径向向内看的顶部平面图;
图8为一般围绕着翼面的中间翼展部分所取的有代表性的翼面轮廓截面;
图9为表示与先前已知的叶片翼面比较,后缘缩减的示意图;和
图10为表示相对于先前已知的叶片的翼面形状的叶片翼面的后缘直径的示意图。
本发明详细说明
参见附图,图1表示包括多个涡轮级的燃气涡轮12的一个热的气体通道10。图中表示了三个级。例如,第一级包括多个在圆周上互相隔开的喷嘴14和叶片16。喷嘴在圆周上彼此隔开,并围绕转子的轴线固定。第一级的叶片16安装在涡轮转子17上。还表示了涡轮12的第二级,它包括多个在圆周上隔开的喷嘴18和安装在转子17上的,多个在圆周上隔开的叶片20。第三级包括多个在圆周上隔开的喷嘴22和安装在转子17上的叶片24,喷嘴和叶片位于涡轮的热气体通道10中,热气体通过热气体通道10的流动方向用箭头26表示。
叶片(例如,第一级的叶片16)安装在形成转子17的一部分的转子轮19上。如图2和图3所示,每一个叶片16都带有一个平台30,一个柄部32和与转子轮19上没有示出的形状互补的配合燕尾连接的轴向燕尾槽34。每一个叶片16具有叶片翼面36。这样,每一个叶片16在从位于平台30的中点的翼面根部31(图3)至叶片顶部33的任何横截面上的横截面翼面轮廓为翼面形状。
为了确定每一个第一级叶片翼面的翼面轮廓,在空间中存在满足该级的要求和可以制造的唯一的点集或点轨迹。这个唯一的点轨迹满足级的效率和减小热和机械应力的要求。通过在可使涡轮有效,安全和平稳运转的空气动力学和机械负载之间进行迭代,可以得出该点轨迹。形成叶片翼面轮廓的轨迹包括相对于涡轮回转轴线的1000个点的一个集。下面的表1给出的笛卡儿坐标系的X,Y和Z值形成沿着翼面长度的各个位置上的叶片翼面的轮廓截面。在表1中X和Y坐标的坐标值用英寸给出,当该值可以转换时,也可以使用其他尺寸单位。表1中的Z值为无量纲形式,由0.05(5%)翼展至0.95(95%)翼展。为了将Z值转换为用英寸表示的Z坐标值,可将表1中给出的无量纲Z值与用英寸表示的翼面36的高度相乘。笛卡儿坐标系具有正交关系的X,Y和Z轴,并且X轴与涡轮转子中心线(即回转轴线)平行,而正的X坐标值在向着后部(即涡轮的排气端)的轴向。向后看时,正的Y坐标值在转子回转方向的切线方向上延伸,而正的Z坐标值一般是向着叶片顶部沿径向向外延伸。
通过在与X,Y平面垂直的Z方向上的选择的位置上,确定X和Y坐标值,可以确定在沿着翼面长度的每一个Z距离处的叶片翼面轮廓截面(例如图8的轮廓截面40)。通过使X和Y值与圆滑的连续圆弧连接,可以选定在每一个距离Z处的每一个轮廓截面40。通过圆滑地使相邻的轮廓截面互相连接,形成整个翼面轮廓,可以确定在距离Z之间的各个表面位置的翼面轮廓截面40。这些值代表在外界的不工作或不热的条件下的翼面轮廓截面,并且是没有涂层的翼面的轮廓截面。
表1产生和表示了用于确定翼面轮廓的4个十进制位的X和Y值。然而,第4个十进制位不重要,可以四舍五入。一般的制造公差以及涂层在翼面的实际轮廓中必需考虑。因此,表1给出的翼面轮廓的值是名义翼面的,包括涂层厚度的±一般制造公差(即±值)要加至表1给出的X和Y值中。因此,在与沿着翼面轮廓的任何表面位置垂直的方向上的±0.150英寸的距离,形成这个特定的叶片翼面设计和涡轮的翼面轮廓包络面;即形成在相同温度下的在名义冷或室温下在实际的翼面表面上的侧量点与下面的表给出的这些点的理想位置之间的变化范围。该叶片翼面设计对这个变化范围是可耐受的,不会损害机械的和空气动力学的功能。
下面的表1给出的坐标值形成优选的名义轮廓包络面。
表1
 X           Y            Z
英寸         英寸         %翼展
-1.3594      -0.5213      0.05
-1.2754      -0.5233      0.05
-1.1942      -0.4993      0.05
-1.1157      -0.4673      0.05
-1.0376      -0.4344      0.05
-0.9588      -0.4030      0.05
-0.8792      -0.3740      0.05
-0.7987      -0.3474      0.05
-0.7176      -0.3227      0.05
-0.6361      -0.2995      0.05
-0.5541      -0.2782      0.05
-0.4715      -0.2592      0.05
-0.3883      -0.2431      0.05
-0.3045      -0.2302      0.05
-0.2202      -0.2208      0.05
X            Y              Z
英寸         英寸           %翼展
-0.1357      -0.2155        0.05
-0.0509      -0.2144        0.05
0.0338       -0.2180        0.05
0.1181       -0.2264        0.05
0.2018       -0.2399        0.05
0.2845       -0.2583        0.05
0.3659       -0.2818        0.05
0.4458       -0.3101        0.05
0.5239       -0.3430        0.05
0.6000       -0.3804        0.05
0.6738       -0.4220        0.05
0.7453       -0.4675        0.05
0.8144       -0.5166        0.05
0.8810       -0.5691        0.05
0.9450       -0.6246        0.05
1.0066       -0.6829        0.05
1.0656       -0.7436        0.05
1.1223       -0.8067        0.05
X           Y             Z
英寸        英寸          %翼展
1.1766      -0.8717       0.05
1.2287      -0.9386       0.05
1.2787      -1.0071       0.05
1.3272      -1.0766       0.05
1.3746      -1.1468       0.05
1.4284      -1.2110       0.05
1.5101      -1.2115       0.05
1.5576      -1.1449       0.05
1.5383      -1.0633       0.05
1.5074      -0.9843       0.05
1.4748      -0.9061       0.05
1.4417      -0.8280       0.05
1.4085      -0.7501       0.05
1.3750      -0.6722       0.05
1.3414      -0.5944       0.05
1.3074      -0.5167       0.05
1.2731      -0.4392       0.05
1.2383      -0.3619       0.05
X           Y             Z
英寸        英寸          %翼展
1.2030      -0.2849       0.05
1.1671      -0.2081       0.05
1.0930      -0.0556       0.05
1.1305      -0.1316       0.05
1.0547      0.0200        0.05
1.0154      0.0951        0.05
0.9747      0.1695        0.05
0.9324      0.2429        0.05
0.8884      0.3154        0.05
0.8423      0.3865        0.05
0.7935      0.4558        0.05
0.7415      0.5227        0.05
0.6860      0.5867        0.05
0.6266      0.6472        0.05
0.5633      0.7035        0.05
0.4959      0.7550        0.05
0.4248      0.8010        0.05
0.3501      0.8410        0.05
X            Y             Z
英寸         英寸          %翼展
0.2723       0.8746        0.05
0.1920       0.9018        0.05
0.1098       0.9222        0.05
0.0261       0.9358        0.05
-0.0583      0.9426        0.05
-0.1431      0.9427        0.05
-0.2276      0.9363        0.05
-0.3113      0.9233        0.05
-0.3938      0.9039        0.05
-0.4746      0.8782        0.05
-0.5531      0.8463        0.05
-0.6290      0.8087        0.05
-0.7021      0.7658        0.05
-0.7721      0.7180        0.05
-0.8390      0.6659        0.05
-0.9027      0.6101        0.05
-0.9634      0.5509        0.05
-1.0211      0.4888        0.05
X            Y            Z
英寸         英寸         %翼展
-1.0761      0.4243       0.05
-1.1285      0.3577       0.05
-1.1785      0.2893       0.05
-1.2260      0.2191       0.05
-1.2708      0.1471       0.05
-1.3123      0.0732       0.05
-1.3505      -0.0025      0.05
-1.3853      -0.0797      0.05
-1.4161      -0.1587      0.05
-1.4419      -0.2394      0.05
-1.4602      -0.3221      0.05
-1.4647      -0.4066      0.05
-1.4348      -0.4840      0.05
-1.3488      -0.4782      0.10
-1.2655      -0.4832      0.10
-1.1852      -0.4582      0.10
-1.1085      -0.4232      0.10
-1.0323      -0.3872      0.10
X            Y             Z
英寸         英寸          %翼展
-0.9553      -0.3530       0.10
-0.8769      -0.3219       0.10
-0.7974      -0.2941       0.10
-0.7168      -0.2694       0.10
-0.6356      -0.2468       0.10
-0.5538      -0.2266       0.10
-0.4713      -0.2090       0.10
-0.3883      -0.1946       0.10
-0.3047      -0.1839       0.10
-0.2207      -0.1771       0.10
-0.1364      -0.1747       0.10
-0.0522      -0.1770       0.10
0.0318       -0.1842       0.10
0.1151       -0.1966       0.10
0.1976       -0.2143       0.10
0.2787       -0.2370       0.10
0.3583       -0.2647       0.10
0.4360       -0.2973       0.10
X           Y            Z
英寸        英寸         %翼展
0.5117      -0.3344      0.10
0.5852      -0.3757      0.10
0.6563      -0.4209      0.10
0.7250      -0.4697      0.10
0.7913      -0.5217      0.10
0.8552      -0.5767      0.10
0.9167      -0.6343      0.10
0.9759      -0.6943      0.10
1.0329      -0.7564      0.10
1.0877      -0.8205      0.10
1.1404      -0.8862      0.10
1.1912      -0.9535      0.10
1.2402      -1.0221      0.10
1.2880      -1.0915      0.10
1.3356      -1.1611      0.10
1.3903      -1.2240      0.10
1.4715      -1.2246      0.10
1.5193      -1.1588      0.10
X            Y            Z
英寸         英寸         %翼展
1.5020       -1.0771      0.10
1.4727       -0.9981      0.10
1.4409       -0.9200      0.10
1.4085       -0.8422      0.10
1.3760       -0.7644      0.10
1.3434       -0.6867      0.10
1.3105       -0.6091      0.10
1.2775       -0.5315      0.10
1.2441       -0.4541      0.10
1.2103       -0.3769      0.10
1.1760       -0.2999      0.10
1.1412       -0.2232      0.10
1.1057       -0.1467      0.10
1.0695       -0.0706      0.10
1.0324       0.0051       0.10
0.9944       0.0803       0.10
0.9550       0.1549       0.10
0.9141       0.2286       0.10
X            Y            Z
英寸         英寸         %翼展
0.8715       0.3013       0.10
0.8268       0.3728       0.10
0.7795       0.4425       0.10
0.7291       0.5101       0.10
0.6755       0.5751       0.10
0.6183       0.6370       0.10
0.5575       0.6954       0.10
0.4930       0.7496       0.10
0.4248       0.7991       0.10
0.3530       0.8432       0.10
0.2779       0.8815       0.10
0.2000       0.9137       0.10
0.1198       0.9394       0.10
0.0376       0.9580       0.10
-0.0459      0.9696       0.10
-0.1300      0.9741       0.10
-0.2142      0.9716       0.10
-0.2980      0.9622       0.10
X            Y            Z
英寸         英寸         %翼展
-0.3806      0.9458       0.10
-0.4617      0.9228       0.10
-0.5406      0.8932       0.10
-0.6170      0.8576       0.10
-0.6904      0.8163       0.10
-0.7607      0.7698       0.10
-0.8278      0.7188       0.10
-0.8915      0.6636       0.10
-0.9519      0.6049       0.10
-1.0092      0.5430       0.10
-1.0635      0.4786       0.10
-1.1150      0.4118       0.10
-1.1638      0.3431       0.10
-1.2101      0.2727       0.10
-1.2538      0.2006       0.10
-1.2940      0.1265       0.10
-1.3305      0.0506       0.10
-1.3636      -0.0269      0.10
X            Y             Z
英寸         英寸          %翼展
-1.3928      -0.1060       0.10
-1.4171      -0.1867       0.10
-1.4344      -0.2692       0.10
-1.4398      -0.3531       0.10
-1.4182      -0.4330       0.10
-1.2786      -0.4146       0.20
-1.1966      -0.4068       0.20
-1.1203      -0.3739       0.20
-1.0475      -0.3337       0.20
-0.9748      -0.2933       0.20
-0.9008      -0.2553       0.20
-0.8252      -0.2207       0.20
-0.7479      -0.1901       0.20
-0.6692      -0.1633       0.20
-0.5894      -0.1400       0.20
-0.5087      -0.1199       0.20
-0.4271      -0.1036       0.20
-0.3448      -0.0919       0.20
X            Y             Z
英寸         英寸          %翼展
-0.2619      -0.0852       0.20
-0.1788      -0.0840       0.20
-0.0958      -0.0887       0.20
-0.0133      -0.0994       0.20
0.0682       -0.1161       0.20
0.1482       -0.1387       0.20
0.2264       -0.1668       0.20
0.3026       -0.2001       0.20
0.3766       -0.2380       0.20
0.4483       -0.2801       0.20
0.5176       -0.3262       0.20
0.5844       -0.3757       0.20
0.6488       -0.4282       0.20
0.7110       -0.4834       0.20
0.7710       -0.5411       0.20
0.8288       -0.6008       0.20
0.8847       -0.6624       0.20
0.9386       -0.7257       0.20
X           Y            Z
英寸        英寸         %翼展
0.9908      -0.7905      0.20
1.0413      -0.8565      0.20
1.0903      -0.9237      0.20
1.1378      -0.9920      0.20
1.1839      -1.0612      0.20
1.2291      -1.1310      0.20
1.2754      -1.2001      0.20
1.3309      -1.2610      0.20
1.4112      -1.2619      0.20
1.4594      -1.1977      0.20
1.4454      -1.1164      0.20
1.4178      -1.0380      0.20
1.3872      -0.9606      0.20
1.3558      -0.8836      0.20
1.3241      -0.8067      0.20
1.2924      -0.7299      0.20
1.2604      -0.6531      0.20
1.2282      -0.5764      0.20
X           Y             Z
英寸        英寸          %翼展
1.1956      -0.4999       0.20
1.1626      -0.4235       0.20
1.1292      -0.3474       0.20
1.0953      -0.2715       0.20
1.0607      -0.1958       0.20
1.0255      -0.1205       0.20
0.9895      -0.0455       0.20
0.9526      0.0290        0.20
0.9145      0.1030        0.20
0.8752      0.1762        0.20
0.8344      0.2487        0.20
0.7918      0.3201        0.20
0.7471      0.3902        0.20
0.6998      0.4587        0.20
0.6499      0.5251        0.20
0.5970      0.5894        0.20
0.5410      0.6508        0.20
0.4815      0.7089        0.20
X            Y            Z
英寸         英寸         %翼展
0.4184       0.7630       0.20
0.3517       0.8126       0.20
0.2815       0.8572       0.20
0.2080       0.8962       0.20
0.1315       0.9287       0.20
0.0524       0.9543       0.20
-0.0287      0.9724       0.20
-0.1112      0.9830       0.20
-0.1943      0.9861       0.20
-0.2773      0.9817       0.20
-0.3596      0.9700       0.20
-0.4406      0.9513       0.20
-0.5197      0.9257       0.20
-0.5964      0.8937       0.20
-0.6703      0.8556       0.20
-0.7410      0.8118       0.20
-0.8082      0.7629       0.20
-0.8719      0.7094       0.20
X            Y             Z
英寸         英寸          %翼展
-0.9319      0.6518        0.20
-0.9883      0.5907        0.20
-1.0414      0.5267        0.20
-1.0912      0.4601        0.20
-1.1380      0.3914        0.20
-1.1822      0.3210        0.20
-1.2235      0.2488        0.20
-1.2609      0.1745        0.20
-1.2944      0.0984        0.20
-1.3242      0.0208        0.20
-1.3498      -0.0584       0.20
-1.3702      -0.1390       0.20
-1.3830      -0.2211       0.20
-1.3829      -0.3041       0.20
-1.3527      -0.3803       0.20
-1.2750      -0.3356       0.30
-1.1951      -0.3497       0.30
-1.1168      -0.3255       0.30
X            Y             Z
英寸         英寸         %翼展
-1.0448      -0.2858      0.30
-0.9748      -0.2427      0.30
-0.9043      -0.2004      0.30
-0.8322      -0.1608      0.30
-0.7582      -0.1249      0.30
-0.6823      -0.0932      0.30
-0.6048      -0.0657      0.30
-0.5260      -0.0423      0.30
-0.4459      -0.0233      0.30
-0.3648      -0.0097      0.30
-0.2830      -0.0020      0.30
-0.2007      -0.0011      0.30
-0.1187      -0.0072      0.30
-0.0376      -0.0205      0.30
0.0421       -0.0409      0.30
0.1197       -0.0679      0.30
0.1950       -0.1009      0.30
0.2677       -0.1394      0.30
X           Y             Z
英寸        英寸          %翼展
0.3377      -0.1826       0.30
0.4051      -0.2297       0.30
0.4699      -0.2804       0.30
0.5322      -0.3341       0.30
0.5922      -0.3904       0.30
0.6499      -0.4489       0.30
0.7057      -0.5094       0.30
0.7596      -0.5715       0.30
0.8118      -0.6351       0.30
0.8624      -0.6999       0.30
0.9115      -0.7659       0.30
0.9593      -0.8328       0.30
1.0059      -0.9006       0.30
1.0514      -0.9691       0.30
1.0957      -1.0384       0.30
1.1392      -1.1083       0.30
1.1826      -1.1781       0.30
1.2273      -1.2472       0.30
X           Y             Z
英寸        英寸          %翼展
1.2810      -1.3082       0.30
1.3604      -1.3096       0.30
1.4090      -1.2467       0.30
1.3961      -1.1662       0.30
1.3700      -1.0882       0.30
1.3402      -1.0115       0.30
1.3094      -0.9352       0.30
1.2784      -0.8591       0.30
1.2472      -0.7830       0.30
1.2157      -0.7070       0.30
1.1840      -0.6311       0.30
1.1518      -0.5554       0.30
1.1193      -0.4798       0.30
1.0864      -0.4044       0.30
1.0530      -0.3293       0.30
1.0190      -0.2544       0.30
0.9844      -0.1798       0.30
0.9491      -0.1055       0.30
X            Y             Z
英寸         英寸          %翼展
0.9130       -0.0316       0.30
0.8759       0.0419        0.30
0.7986       0.1871        0.30
0.8378       0.1148        0.30
0.7580       0.2586        0.30
0.7157       0.3291        0.30
0.6715       0.3985        0.30
0.6251       0.4664        0.30
0.5762       0.5325        0.30
0.5245       0.5965        0.30
0.4696       0.6578        0.30
0.4113       0.7157        0.30
0.3493       0.7698        0.30
0.2838       0.8195        0.30
0.2147       0.8641        0.30
0.1422       0.9028        0.30
0.0664       0.9347        0.30
-0.0121      0.9592        0.30
X            Y            Z
英寸         英寸         %翼展
-0.0925      0.9762       0.30
-0.1742      0.9854       0.30
-0.2564      0.9868       0.30
-0.3384      0.9803       0.30
-0.4194      0.9663       0.30
-0.4988      0.9448       0.30
-0.5759      0.9162       0.30
-0.6501      0.8808       0.30
-0.7209      0.8390       0.30
-0.7880      0.7915       0.30
-0.8512      0.7389       0.30
-0.9105      0.6818       0.30
-0.9658      0.6210       0.30
-1.0175      0.5570       0.30
-1.0657      0.4903       0.30
-1.1107      0.4215       0.30
-1.1531      0.3511       0.30
-1.1922      0.2787       0.30
X            Y             Z
英寸         英寸          %翼展
-1.2272      0.2043        0.30
-1.2583      0.1282        0.30
-1.2855      0.0505        0.30
-1.3081      -0.0285       0.30
-1.3249      -0.1090       0.30
-1.3326      -0.1909       0.30
-1.3236      -0.2723       0.30
-1.2050      -0.2886       0.40
-1.1248      -0.2873       0.40
-1.0503      -0.2554       0.40
-0.9807      -0.2135       0.40
-0.9123      -0.1698       0.40
-0.8431      -0.1272       0.40
-0.7723      -0.0874       0.40
-0.6996      -0.0513       0.40
-0.6250      -0.0192       0.40
-0.5486      0.0085        0.40
-0.4707      0.0314        0.40
X           Y            Z
英寸        英寸         %翼展
-0.3913     0.0484       0.40
-0.3108     0.0585       0.40
-0.2296     0.0608       0.40
-0.1486     0.0548       0.40
-0.0688     0.0403       0.40
0.0093      0.0178       0.40
0.0848      -0.0119      0.40
0.1575      -0.0481      0.40
0.2271      -0.0899      0.40
0.2937      -0.1364      0.40
0.3574      -0.1867      0.40
0.4185      -0.2403      0.40
0.4770      -0.2966      0.40
0.5332      -0.3552      0.40
0.5873      -0.4158      0.40
0.6396      -0.4779      0.40
0.6902      -0.5415      0.40
0.7393      -0.6062      0.40
X           Y             Z
英寸        英寸          %翼展
0.7870      -0.6719       0.40
0.8334      -0.7386       0.40
0.8788      -0.8060       0.40
0.9231      -0.8740       0.40
0.9665      -0.9427       0.40
1.0091      -1.0118       0.40
1.0510      -1.0814       0.40
1.0921      -1.1514       0.40
1.1335      -1.2213       0.40
1.1765      -1.2902       0.40
1.2295      -1.3506       0.40
1.3079      -1.3522       0.40
1.3566      -1.2906       0.40
1.3452      -1.2109       0.40
1.3202      -1.1336       0.40
1.2913      -1.0577       0.40
1.2613      -0.9822       0.40
1.2310      -0.9069       0.40
X           Y             Z
英寸        英寸          %翼展
1.2006      -0.8316       0.40
1.1699      -0.7564       0.40
1.1389      -0.6813       0.40
1.1075      -0.6064       0.40
1.0758      -0.5316       0.40
1.0437      -0.4570       0.40
1.0111      -0.3826       0.40
0.9781      -0.3084       0.40
0.9444      -0.2345       0.40
0.9101      -0.1608       0.40
0.8752      -0.0875       0.40
0.8394      -0.0146       0.40
0.8028      0.0579        0.40
0.7653      0.1299        0.40
0.7266      0.2014        0.40
0.6866      0.2720        0.40
0.6450      0.3418        0.40
0.6016      0.4105        0.40
X            Y           Z
英寸         英寸        %翼展
0.5562       0.4778      0.40
0.5084       0.5434      0.40
0.4576       0.6068      0.40
0.4037       0.6676      0.40
0.3465       0.7252      0.40
0.2858       0.7792      0.40
0.2216       0.8289      0.40
0.1537       0.8735      0.40
0.0822       0.9119      0.40
0.0075       0.9436      0.40
-0.0700      0.9680      0.40
-0.1495      0.9844      0.40
-0.2303      0.9924      0.40
-0.3115      0.9918      0.40
-0.3921      0.9825      0.40
-0.4713      0.9645      0.40
-0.5481      0.9382      0.40
-0.6217      0.9041      0.40
X            Y            Z
英寸         英寸         %翼展
-0.6917      0.8629       0.40
-0.7577      0.8156       0.40
-0.8195      0.7629       0.40
-0.8772      0.7057       0.40
-0.9309      0.6448       0.40
-0.9809      0.5809       0.40
-1.0276      0.5144       0.40
-1.0713      0.4459       0.40
-1.1124      0.3759       0.40
-1.1503      0.3041       0.40
-1.1845      0.2304       0.40
-1.2149      0.1551       0.40
-1.2413      0.0783       0.40
-1.2629      0.0000       0.40
-1.2782      -0.0797      0.40
-1.2830      -0.1607      0.40
-1.2663      -0.2396      0.40
-1.2115      -0.2017      0.50
X           Y            Z
英寸        英寸         %翼展
-1.1425     -0.2377      0.50
-1.0641     -0.2257      0.50
-0.9921     -0.1906      0.50
-0.9239     -0.1487      0.50
-0.8562     -0.1058      0.50
-0.7877     -0.0642      0.50
-0.7176     -0.0254      0.50
-0.6456     0.0098       0.50
-0.5718     0.0409       0.50
-0.4962     0.0674       0.50
-0.4188     0.0880       0.50
-0.3398     0.1013       0.50
-0.2599     0.1061       0.50
-0.1800     0.1014       0.50
-0.1012     0.0871       0.50
-0.0246     0.0636       0.50
0.0490      0.0321       0.50
0.1193      -0.0063      0.50
X           Y             Z
英寸        英寸          %翼展
0.1862      -0.0505       0.50
0.2497      -0.0992       0.50
0.3102      -0.1518       0.50
0.3679      -0.2074       0.50
0.4231      -0.2654       0.50
0.4761      -0.3255       0.50
0.5271      -0.3873       0.50
0.5764      -0.4505       0.50
0.6241      -0.5149       0.50
0.6704      -0.5803       0.50
0.7155      -0.6465       0.50
0.7595      -0.7135       0.50
0.8025      -0.7811       0.50
0.8446      -0.8492       0.50
0.8860      -0.9178       0.50
0.9267      -0.9868       0.50
0.9669      -1.0562       0.50
1.0065      -1.1258       0.50
X           Y            Z
英寸        英寸         %翼展
1.0456      -1.1958      0.50
1.0851      -1.2655      0.50
1.1263      -1.3342      0.50
1.1782      -1.3939      0.50
1.2556      -1.3956      0.50
1.3044      -1.3354      0.50
1.2942      -1.2566      0.50
1.2701      -1.1802      0.50
1.2424      -1.1050      0.50
1.2133      -1.0304      0.50
1.1840      -0.9558      0.50
1.1546      -0.8813      0.50
1.1249      -0.8069      0.50
1.0950      -0.7325      0.50
1.0647      -0.6583      0.50
1.0341      -0.5843      0.50
1.0032      -0.5104      0.50
0.9718      -0.4366      0.50
X           Y             Z
英寸        英寸          %翼展
0.9400      -0.3631       0.50
0.9077      -0.2898       0.50
0.8748      -0.2167       0.50
0.8413      -0.1439       0.50
0.8072      -0.0714       0.50
0.7723      0.0007        0.50
0.7365      0.0724        0.50
0.6998      0.1436        0.50
0.6619      0.2142        0.50
0.6227      0.2841        0.50
0.5821      0.3531        0.50
0.5397      0.4212        0.50
0.4954      0.4879        0.50
0.4485      0.5529        0.50
0.3989      0.6158        0.50
0.3464      0.6763        0.50
0.2908      0.7340        0.50
0.2318      0.7882        0.50
X            Y           Z
英寸         英寸        %翼展
0.1692       0.8382      0.50
0.1028       0.8830      0.50
0.0328       0.9218      0.50
-0.0407      0.9537      0.50
-0.1171      0.9777      0.50
-0.1958      0.9928      0.50
-0.2757      0.9985      0.50
-0.3556      0.9943      0.50
-0.4344      0.9801      0.50
-0.5109      0.9564      0.50
-0.5842      0.9240      0.50
-0.6535      0.8839      0.50
-0.7186      0.8372      0.50
-0.7794      0.7850      0.50
-0.8360      0.7284      0.50
-0.8887      0.6680      0.50
-0.9378      0.6047      0.50
-0.9836      0.5390      0.50
X            Y           Z
英寸         英寸        %翼展
-1.0265      0.4713      0.50
-1.0670      0.4022      0.50
-1.1046      0.3314      0.50
-1.1389      0.2590      0.50
-1.1695      0.1850      0.50
-1.1961      0.1094      0.50
-1.2178      0.0323      0.50
-1.2325      -0.0464     0.50
-1.2355      -0.1264     0.50
-1.1511      -0.1583     0.60
-1.0760      -0.1775     0.60
-1.0003      -0.1557     0.60
-0.9305      -0.1185     0.60
-0.8631      -0.0771     0.60
-0.7956      -0.0358     0.60
-0.7269      0.0035      0.60
-0.6565      0.0395      0.60
-0.5841      0.0715      0.60
X           Y            Z
英寸        英寸         %翼展
-0.5099     0.0990       0.60
-0.4339     0.1208       0.60
-0.3562     0.1355       0.60
-0.2773     0.1413       0.60
-0.1983     0.1372       0.60
-0.1206     0.1228       0.60
-0.0453     0.0985       0.60
0.0266      0.0655       0.60
0.0947      0.0254       0.60
0.1591      -0.0206      0.60
0.2199      -0.0712      0.60
0.2775      -0.1255      0.60
0.3321      -0.1827      0.60
0.3843      -0.2422      0.60
0.4343      -0.3036      0.60
0.4823      -0.3665      0.60
0.5285      -0.4307      0.60
0.5733      -0.4959      0.60
X           Y             Z
英寸        英寸          %翼展
0.6168      -0.5620       0.60
0.6591      -0.6289       0.60
0.7004      -0.6964       0.60
0.7408      -0.7644       0.60
0.7804      -0.8329       0.60
0.8193      -0.9018       0.60
0.8577      -0.9710       0.60
0.8956      -1.0405       0.60
0.9330      -1.1102       0.60
0.9701      -1.1801       0.60
1.0069      -1.2502       0.60
1.0442      -1.3200       0.60
1.0832      -1.3888       0.60
1.1330      -1.4488       0.60
1.2095      -1.4510       0.60
1.2585      -1.3921       0.60
1.2494      -1.3143       0.60
1.2258      -1.2388       0.60
X           Y            Z
英寸        英寸         %翼展
1.1991      -1.1643      0.60
1.1711      -1.0903      0.60
1.1430      -1.0163      0.60
1.1146      -0.9424      0.60
1.0861      -0.8686      0.60
1.0573      -0.7949      0.60
1.0283      -0.7213      0.60
0.9990      -0.6478      0.60
0.9693      -0.5744      0.60
0.9393      -0.5012      0.60
0.9089      -0.4282      0.60
0.8780      -0.3553      0.60
0.8467      -0.2826      0.60
0.8147      -0.2102      0.60
0.7822      -0.1381      0.60
0.7491      -0.0663      0.60
0.7152      0.0053       0.60
0.6804      0.0764       0.60
X            Y             Z
英寸         英寸          %翼展
0.6447       0.1470        0.60
0.6078       0.2170        0.60
0.5698       0.2864        0.60
0.5304       0.3550        0.60
0.4892       0.4226        0.60
0.4461       0.4889        0.60
0.4006       0.5536        0.60
0.3525       0.6165        0.60
0.3017       0.6771        0.60
0.2478       0.7351        0.60
0.1904       0.7895        0.60
0.1292       0.8396        0.60
0.0640       0.8845        0.60
-0.0050      0.9231        0.60
-0.0777      0.9541        0.60
-0.1536      0.9766        0.60
-0.2316      0.9893        0.60
-0.3107      0.9917       0.60
X            Y            Z
英寸         英寸         %翼展
-0.3893      0.9834       0.60
-0.4662      0.9649       0.60
-0.5401      0.9368       0.60
-0.6103      0.9003       0.60
-0.6762      0.8566       0.60
-0.7377      0.8069       0.60
-0.7948      0.7522       0.60
-0.8479      0.6934       0.60
-0.8971      0.6315       0.60
-0.9429      0.5670       0.60
-0.9857      0.5004       0.60
-1.0257      0.4322       0.60
-1.0630      0.3624       0.60
-1.0971      0.2910       0.60
-1.1275      0.2179       0.60
-1.1537      0.1433       0.60
-1.1748      0.0670       0.60
-1.1880      -0.0109      0.60
X             Y              Z
英寸          英寸          %翼展
-1.1870       -0.0898       0.60
-1.0894       -0.1069       0.70
-1.0127       -0.1117       0.70
-0.9399       -0.0839       0.70
-0.8715       -0.0461       0.70
-0.8044       -0.0061       0.70
-0.7366       0.0327        0.70
-0.6672       0.0686        0.70
-0.5958       0.1003        0.70
-0.5225       0.1273        0.70
-0.4473       0.1486        0.70
-0.3705       0.1628        0.70
-0.2926       0.1682        0.70
-0.2147       0.1635        0.70
-0.1382       0.1481        0.70
-0.0644       0.1226        0.70
 0.0058       0.0882        0.70
0.0718       0.0466        0.70
X           Y            Z
英寸        英寸         %翼展
0.1339      -0.0008      0.70
0.1923      -0.0527      0.70
0.2473      -0.1082      0.70
0.2994      -0.1665      0.70
0.3489      -0.2270      0.70
0.3961      -0.2892      0.70
0.4415      -0.3528      0.70
0.4851      -0.4176      0.70
0.5273      -0.4834      0.70
0.5681      -0.5500      0.70
0.6079      -0.6172      0.70
0.6467      -0.6851      0.70
0.6846      -0.7534      0.70
0.7218      -0.8221      0.70
0.7584      -0.8911      0.70
0.7945      -0.9605      0.70
0.8301      -1.0300      0.70
0.8654      -1.0997      0.70
X           Y            Z
英寸        英寸         %翼展
0.9003      -1.1696      0.70
0.9351      -1.2396      0.70
0.9698      -1.3096      0.70
1.0050      -1.3794      0.70
1.0415      -1.4484      0.70
1.0900      -1.5081      0.70
1.1654      -1.5109      0.70
1.2142      -1.4531      0.70
1.2060      -1.3763      0.70
1.1831      -1.3016      0.70
1.1573      -1.2278      0.70
1.1305      -1.1544      0.70
1.1036      -1.0811      0.70
1.0765      -1.0078      0.70
1.0492      -0.9346      0.70
1.0217      -0.8615      0.70
0.9939      -0.7884      0.70
0.9659      -0.7155      0.70
X           Y            Z
英寸        英寸         %翼展
0.9377      -0.6426      0.70
0.9090      -0.5699      0.70
0.8801      -0.4974      0.70
0.8507      -0.4250      0.70
0.8209      -0.3527      0.70
0.7906      -0.2807      0.70
0.7598      -0.2089      0.70
0.7284      -0.1373      0.70
0.6964      -0.0661      0.70
0.6636      0.0049       0.70
0.6300      0.0754       0.70
0.5955      0.1455       0.70
0.5600      0.2151       0.70
0.5233      0.2841       0.70
0.4852      0.3523       0.70
0.4455      0.4196       0.70
0.4038      0.4857       0.70
0.3599      0.5503       0.70
X            Y           Z
英寸         英寸        %翼展
0.3137       0.6133      0.70
0.2646       0.6741      0.70
0.2122       0.7321      0.70
0.1562       0.7865      0.70
0.0962       0.8366      0.70
0.0321       0.8812      0.70
-0.0362      0.9191      0.70
-0.1083      0.9490      0.70
-0.1836      0.9696      0.70
-0.2610      0.9799      0.70
-0.3391      0.9793      0.70
-0.4163      0.9679      0.70
-0.4913      0.9462      0.70
-0.5630      0.9152      0.70
-0.6306      0.8760      0.70
-0.6936      0.8300      0.70
-0.7521      0.7782      0.70
-0.8062      0.7218      0.70
X            Y           Z
英寸         英寸        %翼展
-0.8562      0.6618      0.70
-0.9024      0.5988      0.70
-0.9452      0.5334      0.70
-0.9849      0.4661      0.70
-1.0219      0.3973      0.70
-1.0558      0.3269      0.70
-1.0859      0.2548      0.70
-1.1117      0.1811      0.70
-1.1320      0.1057      0.70
-1.1435      0.0284      0.70
-1.1377      -0.0491     0.70
-1.0375      -0.0483     0.80
-0.9616      -0.0453     0.80
-0.8907      -0.0156     0.80
-0.8232      0.0215      0.80
-0.7561      0.0594      0.80
-0.6878      0.0950      0.80
-0.6176      0.1266      0.80
X            Y            Z
英寸         英寸         %翼展
-0.5452      0.1531       0.80
-0.4710      0.1735       0.80
-0.3951      0.1866       0.80
-0.3183      0.1906       0.80
-0.2416      0.1842       0.80
-0.1666      0.1671       0.80
-0.0946      0.1398       0.80
-0.0265      0.1038       0.80
0.0372       0.0606       0.80
0.0969       0.0119       0.80
0.1527       -0.0411      0.80
0.2053       -0.0974      0.80
0.2550       -0.1563      0.80
0.3021       -0.2172      0.80
0.3471       -0.2797      0.80
0.3903       -0.3435      0.80
0.4318       -0.4083      0.80
0.4719       -0.4741      0.80
X           Y             Z
英寸        英寸          %翼展
0.5108      -0.5406       0.80
0.5487      -0.6076       0.80
0.5856      -0.6752       0.80
0.6218      -0.7432       0.80
0.6573      -0.8116       0.80
0.6922      -0.8803       0.80
0.7266      -0.9492       0.80
0.7606      -1.0183       0.80
0.7944      -1.0875       0.80
0.8279      -1.1569       0.80
0.8612      -1.2263       0.80
0.8944      -1.2958       0.80
0.9277      -1.3653       0.80
0.9615      -1.4345       0.80
0.9966      -1.5030       0.80
1.0441      -1.5620       0.80
1.1186      -1.5651       0.80
1.1664      -1.5079       0.80
X           Y            Z
英寸        英寸         %翼展
1.1602      -1.4322      0.80
1.1374      -1.3586      0.80
1.1126      -1.2857      0.80
1.0870      -1.2131      0.80
1.0612      -1.1405      0.80
1.0354      -1.0679      0.80
1.0093      -0.9954      0.80
0.9831      -0.9230      0.80
0.9567      -0.8507      0.80
0.9301      -0.7784      0.80
0.9032      -0.7062      0.80
0.8760      -0.6341      0.80
0.8485      -0.5622      0.80
0.8206      -0.4904      0.80
0.7924      -0.4187      0.80
0.7638      -0.3472      0.80
0.7346      -0.2759      0.80
0.7051      -0.2048      0.80
X           Y           Z
英寸        英寸        %翼展
0.6749      -0.1339     0.80
0.6442      -0.0633     0.80
0.6127      0.0070      0.80
0.5805      0.0770      0.80
0.5474      0.1466      0.80
0.5133      0.2157      0.80
0.4782      0.2842      0.80
0.4416      0.3520      0.80
0.4035      0.4189      0.80
0.3636      0.4848      0.80
0.3217      0.5494      0.80
0.2773      0.6124      0.80
0.2301      0.6732      0.80
0.1796      0.7313      0.80
0.1252      0.7859      0.80
0.0668      0.8361      0.80
0.0040      0.8806      0.80
-0.0632     0.9182      0.80
X            Y           Z
英寸         英寸        %翼展
-0.1344      0.9474      0.80
-0.2089      0.9667      0.80
-0.2854      0.9751      0.80
-0.3623      0.9723      0.80
-0.4380      0.9583      0.80
-0.5110      0.9339      0.80
-0.5803      0.9004      0.80
-0.6452      0.8589      0.80
-0.7053      0.8109      0.80
-0.7608      0.7575      0.80
-0.8117      0.6997      0.80
-0.8586      0.6386      0.80
-0.9016      0.5747      0.80
-0.9413      0.5087      0.80
-0.9782      0.4411      0.80
-1.0120      0.3719      0.80
-1.0421      0.3010      0.80
-1.0681      0.2285      0.80
X            Y           Z
英寸         英寸        %翼展
-1.0883      0.1542      0.80
-1.0995      0.0781      0.80
-1.0914      0.0020      0.80
-0.9953      0.0156      0.90
-0.9206      0.0214      0.90
-0.8509      0.0513      0.90
-0.7839      0.0869      0.90
-0.7167      0.1220      0.90
-0.6478      0.1538      0.90
-0.5768      0.1803      0.90
-0.5036      0.2002      0.90
-0.4287      0.2125      0.90
-0.3530      0.2153      0.90
-0.2777      0.2067      0.90
-0.2046      0.1867      0.90
-0.1351      0.1563      0.90
-0.0700      0.1174      0.90
-0.0093      0.0719      0.90
X           Y            Z
英寸        英寸         %翼展
0.0473      0.0214       0.90
0.1003      -0.0328      0.90
0.1503      -0.0899      0.90
0.1976      -0.1492      0.90
0.2426      -0.2103      0.90
0.2856      -0.2728      0.90
0.3270      -0.3364      0.90
0.3670      -0.4009      0.90
0.4057      -0.4661      0.90
0.4433      -0.5320      0.90
0.4799      -0.5985      0.90
0.5157      -0.6654      0.90
0.5509      -0.7326      0.90
0.5854      -0.8002      0.90
0.6194      -0.8680      0.90
0.6529      -0.9361      0.90
0.6861      -1.0043      0.90
0.7190      -1.0727      0.90
X           Y           Z
英寸        英寸        %翼展
0.7517      -1.1411     0.90
0.7842      -1.2097     0.90
0.8166      -1.2783     0.90
0.8490      -1.3469     0.90
0.8813      -1.4155     0.90
0.9141      -1.4839     0.90
0.9482      -1.5517     0.90
0.9953      -1.6095     0.90
1.0688      -1.6126     0.90
1.1186      -1.5584     0.90
1.1127      -1.4840     0.90
1.0901      -1.4116     0.90
1.0661      -1.3396     0.90
1.0417      -1.2677     0.90
1.0171      -1.1960     0.90
0.9924      -1.1242     0.90
0.9677      -1.0525     0.90
0.9427      -0.9808     0.90
X           Y            Z
英寸        英寸         %翼展
0.9176      -0.9092      0.90
0.8923      -0.8377      0.90
0.8668      -0.7662      0.90
0.8411      -0.6949      0.90
0.8151      -0.6236      0.90
0.7888      -0.5524      0.90
0.7621      -0.4814      0.90
0.7351      -0.4105      0.90
0.7077      -0.3397      0.90
0.6799      -0.2692      0.90
0.6516      -0.1988      0.90
0.6228      -0.1286      0.90
0.5934      -0.0586      0.90
0.5633      0.0110       0.90
0.5326      0.0804       0.90
0.5010      0.1494       0.90
0.4685      0.2179       0.90
0.4348      0.2859       0.90
X           Y           Z
英寸        英寸        %翼展
0.3999      0.3533      0.90
0.3636      0.4199      0.90
0.3256      0.4856      0.90
0.2857      0.5501      0.90
0.2434      0.6131      0.90
0.1983      0.6741      0.90
0.1499      0.7325      0.90
0.0977      0.7875      0.90
0.0413      0.8382      0.90
-0.0197     0.8834      0.90
-0.0854     0.9213      0.90
-0.1554     0.9504      0.90
-0.2288     0.9692      0.90
-0.3042     0.9764      0.90
-0.3799     0.9718      0.90
-0.4540     0.9557      0.90
-0.5250     0.9292      0.90
-0.5920     0.8937      0.90
X            Y           Z
英寸         英寸        %翼展
-0.6543      0.8504      0.90
-0.7116      0.8008      0.90
-0.7640      0.7460      0.90
-0.8119      0.6871      0.90
-0.8556      0.6251      0.90
-0.8956      0.5606      0.90
-0.9325      0.4944      0.90
-0.9664      0.4265      0.90
-0.9969      0.3570      0.90
-1.0233      0.2859      0.90
-1.0444      0.2130      0.90
-1.0566      0.1382      0.90
-1.0498      0.0632      0.90
-0.9757      0.0490      0.95
-0.9016      0.0557      0.95
-0.8324      0.0853      0.95
-0.7656      0.1200      0.95
-0.6982      0.1537      0.95
X            Y            Z
英寸         英寸         %翼展
-0.6290      0.1833       0.95
-0.5575      0.2069       0.95
-0.4839      0.2230       0.95
-0.4091      0.2308       0.95
-0.3339      0.2280       0.95
-0.2602      0.2127       0.95
-0.1899      0.1858       0.95
-0.1242      0.1490       0.95
-0.0634      0.1047       0.95
-0.0068      0.0550       0.95
0.0460       0.0013       0.95
0.0958       -0.0552      0.95
0.1428       -0.1140      0.95
0.1877       -0.1745      0.95
0.2306       -0.2364      0.95
0.2719       -0.2995      0.95
0.3117       -0.3634      0.95
0.3503       -0.4281      0.95
X            Y            Z
英寸         英寸         %翼展
0.3879       -0.4934      0.95
0.4245       -0.5592      0.95
0.4603       -0.6255      0.95
0.4954       -0.6921      0.95
0.5298       -0.7591      0.95
0.5638       -0.8263      0.95
0.5973       -0.8938      0.95
0.6304       -0.9615      0.95
0.6633       -1.0293      0.95
0.6958       -1.0972      0.95
0.7282       -1.1652      0.95
0.7604       -1.2333      0.95
0.7925       -1.3014      0.95
0.8246       -1.3696      0.95
0.8567       -1.4377      0.95
0.8891       -1.5057      0.95
0.9227       -1.5731      0.95
0.9698       -1.6302      0.95
X            Y            Z
英寸         英寸         %翼展
1.0428       -1.6333      0.95
1.0942       -1.5817      0.95
1.0881       -1.5078      0.95
1.0656       -1.4359      0.95
1.0421       -1.3643      0.95
1.0182       -1.2929      0.95
0.9942       -1.2215      0.95
0.9701       -1.1501      0.95
0.9460       -1.0788      0.95
0.9217       -1.0075      0.95
0.8972       -0.9362      0.95
0.8726       -0.8650      0.95
0.8477       -0.7939      0.95
0.8227       -0.7229      0.95
0.7974       -0.6519      0.95
0.7718       -0.5811      0.95
0.7459       -0.5103      0.95
0.7197       -0.4397      0.95
X            Y             Z
英寸         英寸          %翼展
0.6932       -0.3692       0.95
0.6662       -0.2989       0.95
0.6388       -0.2287       0.95
0.6110       -0.1587       0.95
0.5826       -0.0890       0.95
0.5535       -0.0194       0.95
0.5238       0.0498        0.95
0.4934       0.1187        0.95
0.4621       0.1872        0.95
0.4298       0.2552        0.95
0.3963       0.3227        0.95
0.3616       0.3896        0.95
0.3254       0.4556        0.95
0.2875       0.5207        0.95
0.2476       0.5846        0.95
0.2051       0.6468        0.95
0.1596       0.7068        0.95
0.1105       0.7640        0.95
X              Y             Z
英寸           英寸          %翼展
0.0575         0.8174        0.95
-0.0001        0.8660        0.95
-0.0625        0.9081        0.95
-0.1297        0.9420        0.95
-0.2010        0.9659        0.95
-0.2752        0.9784        0.95
-0.3505        0.9787        0.95
-0.4248        0.9671        0.95
-0.4966        0.9447        0.95
-0.5647        0.9125        0.95
-0.6281        0.8719        0.95
-0.6864        0.8243        0.95
-0.7397        0.7711        0.95
-0.7882        0.7134        0.95
-0.8323        0.6524        0.95
-0.8726        0.5887        0.95
-0.9095        0.5231        0.95
-0.9435        0.4559        0.95
            X            Y             Z
            英寸         英寸          %翼展
            -0.9742      0.3871        0.95
            -1.0010      0.3167        0.95
            -1.0225      0.2446        0.95
            -1.0355      0.1704        0.95
            -1.0299      0.0958        0.95
在第一级涡轮叶片的这个优选实施例中,有92个叶片翼面36。在涡轮的一个优选实施例中,在平台中点处的叶片翼面的根部31,在沿着半径距离涡轮中心线(即:转子轴线39(图1))32.348英寸处。在优选实施例中,翼面36的实际高度(即叶片的实际高度Z),在平台30的中点至顶部33处,距离根部31,7.075英寸。这样,在优选实施例中,叶片16的顶部33在沿着半径距离涡轮中心线39,39.423英寸处。虽然不构成本发明的一部分,每一个第一级叶片翼面36包括多个没有示出的内部空气冷却通路。如图所示,这些通路将冷却空气排出至与翼面顶部33邻近的出口位置42处的热气体通道中。
为了用在其他相似的涡轮设计中,上表所示的翼面几何形状的比例可放大或缩小。结果,表1所示的坐标值的比例可放大或缩小,使翼面轮廓形状保持不改变。表1中的坐标的比例放大或缩小形式,可用表1的X和Y坐标,和转换成英寸的,乘以或除以一个常数或数值的无量纲Z坐标值表示。
图9和图10表示叶片翼面的后缘50。先前已知叶片的后缘用52表示。从图8中可看出,后缘50已从先前叶片的后缘52上切去一部分。该削减用后缘50和52之间的距离54表示。削减沿着翼面36的后缘的整个高度延伸。
在图10中表示在下面的表II中所提供的,在翼面的后缘上,以英寸表示的后缘直径56。位移58为后缘从先前已知的通常的叶片设计中减小的以英寸表示的距离。这样,下面的表给出了作为以英寸计的翼面36的翼展的百分数的后缘的直径和位移。通过削减后缘结构,形成了与先前设计比较完全新的和不同的整个翼面结构。例如,后缘削减使得在0%翼展以上的每一个翼展上,翼面切线方向的弦较短,即:切线方向的弦为前缘和后缘之间的直线距离。
表II
        翼面
       局部高度      尾缘直径      位移
        0.000          0.0880         0
        0.707          0.0906         0.0726
        1.416          0.0885         0.1075
        2.123          0.0883         0.1161
        2.830          0.0880         0.1223
        3.538          0.0876         0.1217
        4.245          0.0870         0.1054
        翼面
       局部高度      尾缘直径      位移
        4.952          0.0882         0.0822
        5.659          0.0878         0.0615
        6.368          0.0863         0.0430
        7.075          0.0866         0.0297
虽然,已经结合目前认为是最实际和优选的实施例说明了本发明,但应理解,本发明不是仅局限于所述的实施例。相反,它涵盖了在所附权利要求书确定的精神和范围内的各种改进和等同的变化。

Claims (10)

1.一种涡轮叶片(6),它包括具有翼面形状的叶片翼面(36),所述翼面的名义轮廓基本上按照表I给出的X,Y和Z的笛卡儿坐标值;其中,Z值为0.05翼展~0.95翼展的无量纲值,它可通过将Z值与用英寸表示的翼面高度相乘,转换为用英寸表示的Z距离;并且,X和Y为用英寸表示的距离,当用圆滑的连续圆弧连接时,X和Y距离便限定在每一个距离Z处的翼面轮廓截面(40),该轮廓截面在Z距离处圆滑地互相连接,形成完整的翼面形状。
2.如权利要求1所述的涡轮叶片,其特征为,它构成涡轮第一级的一部分。
3.如权利要求1所述的涡轮叶片,其特征为,所述翼面形状处于在与任何翼面表面位置垂直的方向上的±0.150英寸内的包络面内。
4.如权利要求1所述的涡轮叶片,其特征为,它包括一个平台(30),从平台中点处的根部至翼面顶部的涡轮翼面高度为7.075英寸。
5.一种涡轮叶片(6),它包括具有没有涂层的名义翼面形状的叶片翼面(36),其轮廓基本上按照表I给出的X,Y和Z的笛卡儿坐标值,其中,Z值为0.05翼展~0.95翼展的无量纲值,它可通过将Z值与用英寸表示的翼面高度相乘,转换为用英寸表示的Z距离,并且X和Y为用英寸表示的距离,当用圆滑的连续圆弧连接时,X和Y距离便限定在每一个距离Z处的翼面轮廓截面(40),该轮廓截面在Z距离处圆滑地互相连接,形成完整翼面形状。X和Y距离作为同一个常数或数值的函数比例可变,以形成一个按比例放大或缩小的翼面。
6.如权利要求5所述的涡轮叶片,其特征为,当转换为英寸时,Z距离可以作为所述同一个常数或数的函数而可按比例放大或缩小。
7.如权利要求5所述的涡轮叶片,其特征为,它构成涡轮第一级的一部分。
8.如权利要求5所述的涡轮叶片,其特征为,所述翼面形状处于在与任何翼面表面位置垂直的方向上的±0.150英寸内的包络面内。
9.一种涡轮,它包括具有多个叶片的涡轮叶轮(19),每一个所述的叶片包括其翼面名义轮廓基本上按照表1给出的笛卡儿坐标值X,Y和Z的翼面(36),其中,Z值为0.05翼展~0.95翼展的无量纲值,它可通过将Z值与用英寸表示的翼面高度相乘,转换为用英寸表示的Z距离,并且X和Y为用英寸表示的距离,当用圆滑的连续圆弧连接时,X和Y距离便限定在每一个距离Z处的翼面轮廓截面(40),这些轮廓截面在Z距离处圆滑地互相连接,形成完整的翼面形状。
10.一种涡轮,它包括具有多个叶片(16)的涡轮叶轮(19),每一个所述叶片包括其没有涂层的名义翼面轮廓基本上按照表1给出的笛卡儿坐标值X,Y和Z的翼面(36),其中,Z值为0.05翼展~0.95翼展的无量纲值,它可通过将Z值与用英寸表示的翼面高度相乘,转换为用英寸表示的Z距离,并且X和Y为用英寸表示的距离,当用圆滑的连续圆弧连接时,X和Y距离便限定在每一个距离Z处的翼面轮廓截面(40),这些轮廓截面在Z距离处圆滑地互相连接,形成完整的翼面形状,该X,Y和Z距离作为同一个常数或数的函数,比例可变,以形成一个按比例放大或缩小的叶片翼面。
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