CN112572787B - Coaxial dual-rotor high-speed helicopter tip airfoil with low resistance and high divergence Mach number - Google Patents
Coaxial dual-rotor high-speed helicopter tip airfoil with low resistance and high divergence Mach number Download PDFInfo
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Abstract
本发明设计了一种具有低阻高发散马赫数的共轴双旋翼高速直升机桨尖翼型,翼型前缘半径为0.00679,翼型最大厚度为0.0700,位于翼型43.3%弦长处,最大弯度为0.003260,位于翼型17.7%弦长处,后缘夹角为2.20度。本发明翼型在设计的高、中、低马赫数范围内,低速特性损失不大的情况下,高速特性提升显著且更加稳健。其中在高速零升状态下及其附近范围内,相对于对比法国经典OA系列翼型OA407发明翼型具有非常低的阻力系数显著降低,且更加稳健,同时发明翼型阻力发散马赫数显著提高,在宽马赫数范围内保持了更低的阻力系数和低阻范围,并在整个包线范围内保持了相对于经典OA407翼型更好的力矩特性,为共轴双旋翼高速直升机桨尖翼型的设计奠定了基础。
The invention designs a coaxial double-rotor high-speed helicopter blade tip airfoil with low resistance and high divergence Mach number, the leading edge radius of the airfoil is 0.00679, the maximum thickness of the airfoil is 0.0700, it is located at 43.3% of the chord length of the airfoil, and the maximum camber is is 0.003260, which is located at 17.7% chord length of the airfoil, and the included angle of the trailing edge is 2.20 degrees. In the designed high, medium and low Mach number range, the airfoil of the present invention improves the high-speed characteristic significantly and is more robust under the condition that the low-speed characteristic loss is not large. Among them, in the high-speed zero-lift state and its vicinity, compared with the French classic OA series airfoil OA407, the airfoil has a very low drag coefficient, which is significantly lower and more robust. At the same time, the airfoil resistance divergence Mach number is significantly improved. It maintains a lower drag coefficient and low drag range in a wide Mach number range, and maintains better torque characteristics than the classic OA407 airfoil over the entire envelope range. It is a coaxial twin-rotor high-speed helicopter tip airfoil The design laid the foundation.
Description
技术领域technical field
本发明涉及共轴双旋翼高速直升机桨叶翼型设计技术领域,具体为一种具有低阻高发散马赫数的共轴双旋翼高速直升机桨尖翼型。The invention relates to the technical field of coaxial dual-rotor high-speed helicopter blade airfoil design, in particular to a coaxial dual-rotor high-speed helicopter blade tip airfoil with low resistance and high divergence Mach number.
背景技术Background technique
常规构型直升机受制于300km/h左右高速前飞情形下旋翼后行桨叶存在大分离流现象,分离严重时甚至达到桨叶径向区域85%,使得后行桨气动特性很差,无法产生升力和向前的推力,而前行桨叶与后行桨为满足旋翼气动力特性的匹配,前行桨桨叶型面无法工作于高升阻比所对应的攻角范围,从而严重影响到直升机高速大前进比飞行时的气动效率。The conventional configuration helicopter is subject to the high speed forward flight of about 300km/h, and there is a large separation flow phenomenon on the rear rotor blades. Lift and forward thrust, while the forward propeller and the rear propeller meet the matching of the aerodynamic characteristics of the rotor. Aerodynamic efficiency at high speed and large forward ratio in flight.
为了突破直升机速度限制,世界各国一直探索研究新构型、新概念直升机。现有高速直升机构型主要包括复合式、倾转式和停转式。其中复合式包括共轴双旋翼直升机,常规旋翼/前行桨叶概念(Advancing Blade Concept,ABC)旋翼配置辅助推进或升力装置的直升机。ABC旋翼系统于1964年由美国西科斯基公司提出,该系统包括一对反转的、共轴的、完全刚性的无铰旋翼,在高速前飞时由上下旋翼的前行桨叶提供主要的升力,后行桨叶卸载,几乎不产生升力,从而减缓甚至消除了后行桨叶反流区的气流分离,保证了高速前飞的能力。从ABC旋翼提出至今50年中,西科斯基公司对该构型进行了不断的发展和验证。1970年,西科斯基公司制造了一副40英尺的ABC试验旋翼,并在NASA-AMES风洞进行了试验。1972年,美国陆军与西科斯基公司签署合同,要求其进行ABC旋翼验证机XH-59A的设计、制造与试飞。1973年实现首飞,在其后总计170小时的试飞过程中,最大平飞速度达到238kt(约441km/h)。2008年,西科斯基公司推出了X2验证机,该机采用共轴刚性旋翼,并在尾部加装了推进螺旋桨。X2在2010年的试飞中最大平飞速度达到250kt(约460km/h),是现役黑鹰直升机的两倍,“阿帕奇”直升机的1.5倍。2015年,西科斯基研制的基于ABC旋翼的S-97复合式高速直升机顺利首飞,该机的设计时速达260kt(480km/h)。大量风洞试验以及验证机的论证表明,采用ABC旋翼的高速直升机构型兼顾悬停和高速飞行能力,具有结构紧凑,气动性能、机动性和操纵性好等特点,代表了高速直升机的发展趋势。In order to break through the speed limit of helicopters, countries around the world have been exploring and researching new configurations and concepts of helicopters. Existing high-speed helicopter configurations mainly include compound, tilt and stop. The compound type includes coaxial twin-rotor helicopter, conventional rotor/advancing blade concept (Advancing Blade Concept, ABC) rotor configuration auxiliary propulsion or lift device. The ABC rotor system was proposed by the American Sikorsky Company in 1964. The system consists of a pair of counter-rotating, coaxial, completely rigid hingeless rotors. When flying forward at high speed, the forward blades of the upper and lower rotors provide the main force. Lift, the rearward blade is unloaded, and almost no lift is generated, thereby slowing or even eliminating the airflow separation in the reverse flow area of the rearward blade, ensuring the ability to fly forward at high speed. In the 50 years since the ABC rotor was proposed, Sikorsky has continuously developed and verified this configuration. In 1970, Sikorsky built a 40-foot ABC test rotor and tested it in the NASA-AMES wind tunnel. In 1972, the U.S. Army signed a contract with Sikorsky for the design, manufacture and test flight of the ABC rotor demonstrator XH-59A. The first flight was achieved in 1973, and the maximum level flight speed reached 238kt (about 441km/h) during a total of 170 hours of test flight. In 2008, Sikorsky launched the X2 demonstrator, which uses a coaxial rigid rotor and a propulsion propeller at the tail. In the test flight in 2010, the maximum level flight speed of X2 reached 250kt (about 460km/h), which is twice that of the current Black Hawk helicopter and 1.5 times that of the "Apache" helicopter. In 2015, the S-97 compound high-speed helicopter developed by Sikorsky based on the ABC rotor made its maiden flight successfully. A large number of wind tunnel tests and the demonstration of the verification machine show that the high-speed helicopter configuration with ABC rotor takes into account both the hovering and high-speed flight capabilities, and has the characteristics of compact structure, good aerodynamic performance, maneuverability and maneuverability, representing the development trend of high-speed helicopters .
旋翼是直升机产生升力和推力的关键性部件,而旋翼的性能主要由翼型的性能决定,翼型的性能显著影响着直升机的前飞速度、快速机动性能、起降性能、操纵品质和所有飞行阶段的飞行效率。共轴刚性旋翼的工作机理与传统单旋翼截然不同,对翼型气动性能的要求也有较大差别。直升机旋翼需提供足够的拉力以进行悬停、机动及前飞操作。对单旋翼直升机而言,为维持机身平衡,桨叶的前行侧与后行侧产生的拉力合力需在作用于转轴处。而前行侧与后行侧的来流速度相差很大,因此常规旋翼翼型需要兼具低速高升力特性和高速低阻力特性等。而对于共轴刚性旋翼,上下旋翼的对转运动,使得桨盘两侧均有前行桨叶,充分利用前行桨叶的高动压即可提供充足的拉力,后行桨叶无需提供拉力;高速前飞时可将后行桨叶卸载以避免大范围的反流区引起的阻力、噪声激增,因此共轴刚性旋翼直升机通常可以获得更高的前飞速度。而前飞速度的提高导致后行桨叶所处流场环境更加恶劣,西科斯基的X2TD验证机高速前飞时后行桨叶甚至超过80%处于反流区。因此,共轴刚性旋翼翼型需有较好的高速低阻特性,桨尖翼型要有高的阻力发散马赫数,根部翼型在反流区要有抗流动分离、低阻特性。旋翼的整个性能及工作状态要求旋翼翼型在低马赫数到中亚音速状态具有高的最大升力系数,在跨音速状态具有小的零升阻力系数及高的阻力发散特性。同时为了减小扭矩及操纵载荷,旋翼翼型还需具有小的俯仰力矩。此外,为了保证直升机的悬停特性,在悬停状态下还应具有高的升阻比。因此旋翼翼型的设计是一个多设计点多目标多约束的综合优化设计难题。The rotor is the key component of the helicopter to generate lift and thrust, and the performance of the rotor is mainly determined by the performance of the airfoil. Phase flight efficiency. The working mechanism of the coaxial rigid rotor is completely different from that of the traditional single rotor, and the requirements for the aerodynamic performance of the airfoil are also quite different. Helicopter rotors need to provide sufficient pulling force for hovering, maneuvering and forward flight operations. For a single-rotor helicopter, in order to maintain the balance of the fuselage, the resultant force of the pulling force generated by the forward side and the rear side of the blade needs to act on the rotating shaft. The incoming flow velocity on the forward side and the rear side is very different, so the conventional rotor airfoil needs to have both low-speed high-lift characteristics and high-speed low-drag characteristics. For the coaxial rigid rotor, the counter-rotating motion of the upper and lower rotors makes forward blades on both sides of the paddle disc, and the high dynamic pressure of the forward blades can be fully utilized to provide sufficient pulling force, while the backward blades do not need to provide pulling force. ; During high-speed forward flight, the rearward propellers can be unloaded to avoid the surge of drag and noise caused by the large-scale reversal zone, so the coaxial rigid rotor helicopter can usually obtain higher forward flight speed. The increase in the forward flight speed leads to a worse flow field environment where the backward propellers are located. When Sikorsky's X2TD demonstrator flies forward at high speed, more than 80% of the backward propellers are in the regurgitation zone. Therefore, the coaxial rigid rotor airfoil should have good high-speed and low-resistance characteristics, the tip airfoil should have a high resistance divergence Mach number, and the root airfoil should have anti-flow separation and low-resistance characteristics in the reversal region. The entire performance and working state of the rotor require that the rotor airfoil has a high maximum lift coefficient in the low Mach number to mid-subsonic state, and a small zero-lift drag coefficient and high drag divergence characteristics in the transonic state. At the same time, in order to reduce the torque and control load, the rotor airfoil also needs to have a small pitching moment. In addition, in order to ensure the hovering characteristics of the helicopter, it should also have a high lift-drag ratio in the hovering state. Therefore, the design of rotor airfoil is a comprehensive optimization design problem with multiple design points, multiple objectives and multiple constraints.
发明内容SUMMARY OF THE INVENTION
为解决现有技术存在的问题,本发明设计了一种具有低阻高发散马赫数的共轴双旋翼高速直升机桨尖翼型,该翼型前缘半径较小,保证了前缘合适的加速流动和较低的吸力峰值;翼型上表面从前缘开始曲率变化缓慢并且前缘弯度显著下降,使流动加速到吸力峰后开始变化平缓,更低的压力恢复点以及设计的“双弱激波”压力分布形态,显著降低了激波阻力,并增强了翼型阻力特性对马赫数等状态改变的稳健性,使阻力发散马赫数达到0.875,发散点阻力系数为0.00710。In order to solve the problems existing in the prior art, the present invention designs a coaxial dual-rotor high-speed helicopter blade tip airfoil with low resistance and high divergence Mach number. Flow and lower suction peak; the upper surface of the airfoil changes slowly from the leading edge and the leading edge camber drops significantly, so that the flow accelerates to the suction peak and begins to change gently, lower pressure recovery point and the designed "double weak shock wave" "The shape of the pressure distribution significantly reduces the shock wave drag and enhances the robustness of the airfoil drag characteristics to state changes such as Mach number, so that the drag divergence Mach number reaches 0.875, and the drag coefficient at the divergence point is 0.00710.
该翼型相较于经典同厚度高速旋翼翼型OA407翼型,前缘半径较小,最大弯度较小,最大厚度后移,这使得翼型上、下表面产生的吸力峰值不高,以及发展了典型的弱激波压力分布形态,控制了激波的发展。同时从翼型前缘到90%弦长处弯度下降,后缘弯度增加(反弯),最大厚度位置后移,使翼型力矩系数(绝对值)显著较小,并维持了在整个高、低速范围内良好的力矩特性。Compared with the classic high-speed rotor airfoil OA407 airfoil of the same thickness, the airfoil has a smaller leading edge radius, a smaller maximum camber, and a rearward shift in the maximum thickness, which makes the peak suction generated on the upper and lower surfaces of the airfoil not high, and the development of The typical weak shock pressure distribution pattern is obtained, which controls the development of the shock wave. At the same time, the camber decreases from the leading edge of the airfoil to 90% of the chord length, the camber of the trailing edge increases (reverse bend), and the position of the maximum thickness moves back, which makes the airfoil moment coefficient (absolute value) significantly smaller, and maintains the airfoil moment coefficient (absolute value) throughout the high and low speed. Good torque characteristics in the range.
具体的,本发明的技术方案为:Specifically, the technical scheme of the present invention is:
一种具有低阻高发散马赫数的共轴双旋翼高速直升机桨尖翼型,翼型前缘半径为0.00679,翼型最大厚度为0.0700,位于翼型43.3%弦长处,最大弯度为0.003260,位于翼型17.7%弦长处,后缘夹角为2.20度。A coaxial twin-rotor high-speed helicopter blade tip airfoil with low resistance and high divergence Mach number, the leading edge radius of the airfoil is 0.00679, the maximum thickness of the airfoil is 0.0700, the airfoil is located at 43.3% of the chord length, and the maximum camber is 0.003260, located in At 17.7% chord length of the airfoil, the trailing edge angle is 2.20 degrees.
进一步的,翼型上表面和下表面的几何坐标表达式分别为Further, the geometric coordinate expressions of the upper and lower surfaces of the airfoil are respectively
其中zu(x)和zl(x)分别为单位翼型上、下表面纵坐标位置,x为单位翼型外形点横坐标位置,Au,i和Al,i(i=0,1,2…,7)分别为上述翼型表达式中翼型上、下表面拟合系数,zte=0.00100;翼型上、下表面拟合系数为where z u (x) and z l (x) are the ordinate positions of the upper and lower surfaces of the unit airfoil, respectively, x is the abscissa position of the unit airfoil shape point, A u,i and A l,i (i=0, 1,2...,7) are the fitting coefficients of the upper and lower surfaces of the airfoil in the above airfoil expression, respectively, z te = 0.00100; the fitting coefficients of the upper and lower surfaces of the airfoil are
进一步的,翼型上、下表面拟合系数优选:Further, the fitting coefficients of the upper and lower surfaces of the airfoil are preferably:
进一步的,具有低阻高发散马赫数的共轴双旋翼高速直升机桨尖翼型的上下表面数据在下表给出:Further, the upper and lower surface data of the tip airfoil of the coaxial twin-rotor high-speed helicopter with low resistance and high divergence Mach number are given in the following table:
翼型上表面数据Airfoil upper surface data
下表面坐标lower surface coordinates
有益效果beneficial effect
本发明提供了一种具有低阻高发散马赫数的共轴双旋翼高速直升机桨尖翼型。本发明翼型在设计的高、中、低马赫数范围内,低速特性损失不大的情况下,高速特性提升显著且更加稳健。其中在高速零升状态下及其附近范围内,相对于对比法国经典OA系列翼型OA407发明翼型具有非常低的阻力系数显著降低,且更加稳健,同时发明翼型阻力发散马赫数显著提高,在宽马赫数范围内保持了更低的阻力系数和低阻范围,并在整个包线范围内保持了相对于经典OA407翼型更好的力矩特性,为共轴双旋翼高速直升机桨尖翼型的设计奠定了基础。The invention provides a coaxial double-rotor high-speed helicopter blade tip airfoil with low resistance and high divergence Mach number. In the designed high, medium and low Mach number range, the airfoil of the present invention improves the high-speed characteristic significantly and is more robust under the condition that the low-speed characteristic loss is not large. Among them, in the high-speed zero-lift state and its vicinity, compared with the French classic OA series airfoil OA407, the invented airfoil has a very low drag coefficient, which is significantly lower and more stable. It maintains a lower drag coefficient and a low drag range in a wide Mach number range, and maintains better torque characteristics than the classic OA407 airfoil over the entire envelope range. The design laid the foundation.
本发明的附加方面和优点将在下面的描述中部分给出,部分将从下面的描述中变得明显,或通过本发明的实践了解到。Additional aspects and advantages of the present invention will be set forth, in part, from the following description, and in part will be apparent from the following description, or may be learned by practice of the invention.
附图说明Description of drawings
本发明的上述和/或附加的方面和优点从结合下面附图对实施例的描述中将变得明显和容易理解,其中:The above and/or additional aspects and advantages of the present invention will become apparent and readily understood from the following description of embodiments taken in conjunction with the accompanying drawings, wherein:
图1为本发明翼型几何外形图。Fig. 1 is the geometric outline drawing of the airfoil of the present invention.
图2为本发明翼型在设计点压力形态分布图。Fig. 2 is a pressure profile distribution diagram of an airfoil of the present invention at a design point.
图3为本发明翼型几何外形图与OA407翼型几何外形图对比。FIG. 3 is a comparison between the airfoil geometric outline drawing of the present invention and the OA407 airfoil geometric outline drawing.
图4为本发明翼型几何外形与OA407翼型几何外形弯度对比。Figure 4 is a comparison of the camber of the airfoil geometry of the present invention and the OA407 airfoil geometry.
图5为本发明翼型几何外形与OA407翼型几何外形厚度对比。Figure 5 is a comparison of the thickness of the airfoil geometry of the present invention and the OA407 airfoil geometry.
图6为本发明翼型与OA407翼型在考察点压力形态分布对比图。FIG. 6 is a comparison diagram of the pressure distribution of the airfoil of the present invention and the airfoil of OA407 at the inspection point.
图7为本发明翼型与OA407翼型阻力发散曲线对比图(CL=0.00,Re/Ma=7.20e6)。FIG. 7 is a comparison diagram of the drag divergence curves of the airfoil of the present invention and the airfoil of OA407 (CL=0.00, Re/Ma=7.20e6).
图8为本发明翼型与OA407翼型力矩特性曲线对比图(CL=0.00,Re/Ma=7.20e6)。FIG. 8 is a comparison diagram of the moment characteristic curves of the airfoil of the present invention and the airfoil of OA407 (CL=0.00, Re/Ma=7.20e6).
图9为本发明翼型与OA407翼型低速升力特性曲线对比图(Ma=0.30,Re=2.16e6)。FIG. 9 is a comparison diagram of the low-speed lift characteristic curves of the airfoil of the present invention and the OA407 airfoil (Ma=0.30, Re=2.16e6).
图10为本发明翼型与OA407翼型低速升力特性曲线对比图(Ma=0.40,Re=2.88e6)。FIG. 10 is a comparison diagram of the low-speed lift characteristic curves of the airfoil of the present invention and the OA407 airfoil (Ma=0.40, Re=2.88e6).
图11为本发明翼型与OA407翼型低速升力特性曲线对比图(Ma=0.50,Re=3.60e6)。FIG. 11 is a comparison diagram of the low-speed lift characteristic curves of the airfoil of the present invention and the OA407 airfoil (Ma=0.50, Re=3.60e6).
具体实施方式Detailed ways
常规构型直升机受制于300km/h左右(大前进比)高速前飞情形下旋翼后行桨叶存在大分离流现象,分离严重时甚至达到桨叶径向区域85%,使得后行桨气动特性很差,无法产生升力和向前的推力,而前行桨叶与后行桨为满足旋翼气动力特性的匹配,前行桨桨叶型面(翼型)无法工作于高升阻比所对应的攻角范围,从而严重影响到直升机高速大前进比飞行时的气动效率。The conventional configuration helicopter is subject to the high-speed forward flight of about 300km/h (large forward ratio), and there is a large separation flow phenomenon on the rear rotor blades. Very poor, unable to generate lift and forward thrust, and in order to meet the matching of rotor aerodynamic characteristics between the forward propeller and the rear propeller, the blade profile (airfoil) of the forward propeller cannot work under the high lift-drag ratio. The range of the angle of attack will seriously affect the aerodynamic efficiency of the helicopter when flying at a high speed and a large forward ratio.
为此,根据不同时期的不同直升机的特殊任务需求,针对直升机旋翼非定常流场的特点和桨叶的运动规律,设计满足不同性能要求的高性能旋翼翼型。基于前行桨叶概念的共轴刚性旋翼高速直升机是由美国西科斯基公司创新提出并且系统性研究的高速直升机布局形式。共轴双旋翼直升机较常规直升机飞行速度显著提高,比如S-97直升机飞行速度能达482km/h,具有潜在的应用价值。相对于固定翼飞机翼型,旋翼翼型设计研究进展缓慢,这主要是因为旋翼翼型复杂的设计要求和约束。翼型作为旋翼桨叶的主要元素,很大程度决定着直升机的性能,因此为了进一步提高直升机的整体性能,高性能旋翼翼型设计显得尤为重要。To this end, according to the special mission requirements of different helicopters in different periods, according to the characteristics of the unsteady flow field of the helicopter rotor and the motion law of the blades, high-performance rotor airfoils that meet different performance requirements are designed. The coaxial rigid rotor high-speed helicopter based on the concept of advancing blades is a high-speed helicopter layout that was innovatively proposed and systematically studied by Sikorsky Corporation of the United States. Compared with conventional helicopters, the flight speed of coaxial twin-rotor helicopters is significantly improved. For example, the flight speed of S-97 helicopters can reach 482km/h, which has potential application value. Compared with fixed-wing aircraft airfoils, the research progress of rotor airfoil design is slow, mainly because of the complex design requirements and constraints of rotor airfoils. As the main element of the rotor blade, the airfoil determines the performance of the helicopter to a large extent. Therefore, in order to further improve the overall performance of the helicopter, the design of high-performance rotor airfoil is particularly important.
本实施例中提出的具有低阻高发散马赫数的共轴双旋翼高速直升机桨尖翼型,其高速考察状态为马赫数为0.87,升力系数为0.00,雷诺数为6.264e6,湍流度为0.5%,湍流粘性比为10。翼型前缘半径为0.00679,翼型最大厚度为0.0700,位于翼型43.3%弦长处,最大弯度为0.003260,位于翼型17.7%弦长处,后缘夹角为2.20度。需要注意的是,在翼型设计领域,参数描述均是采用无量纲量进行描述,所以上述前缘半径、最大厚度、最大弯度以及后续翼型坐标描述均采用无量纲量进行描述,无量纲过程以翼型弦长c为基准。The coaxial twin-rotor high-speed helicopter tip airfoil with low resistance and high divergence Mach number proposed in this embodiment has a high-speed investigation state of Mach number of 0.87, lift coefficient of 0.00, Reynolds number of 6.264e6, and turbulence degree of 0.5. %, the turbulent viscosity ratio is 10. The radius of the leading edge of the airfoil is 0.00679, the maximum thickness of the airfoil is 0.0700, it is located at 43.3% chord length of the airfoil, the maximum camber is 0.003260, which is located at 17.7% chord length of the airfoil, and the included angle of the trailing edge is 2.20 degrees. It should be noted that in the field of airfoil design, the parameter descriptions are all described by dimensionless quantities, so the above-mentioned leading edge radius, maximum thickness, maximum camber and subsequent airfoil coordinate descriptions are described by dimensionless quantities. Based on the airfoil chord length c.
而具体的翼型上表面和下表面的几何坐标表达式分别为The specific geometric coordinate expressions of the upper and lower surfaces of the airfoil are:
其中zu(x)和zl(x)分别为单位翼型上、下表面纵坐标位置,x为单位翼型外形点横坐标位置,当然,在翼型设计领域,按照无量纲量表示,单位翼型外形点横坐标的范围为0~1;Au,i和Al,i(i=0,1,2…,7)分别为上述翼型表达式上、下表面拟合系数,zte=0.00100;翼型上述表达式拟合系数为Among them, z u (x) and z l (x) are the ordinate positions of the upper and lower surfaces of the unit airfoil, respectively, and x is the abscissa position of the unit airfoil shape point. Of course, in the field of airfoil design, it is expressed as a dimensionless quantity, The abscissa of the unit airfoil shape point ranges from 0 to 1; A u,i and A l,i (i=0,1,2...,7) are the fitting coefficients of the upper and lower surfaces of the above airfoil expression, respectively, z te = 0.00100; the fitting coefficient of the above expression of airfoil is
而且通过数值计算,上述系数在上下浮动不超过0.5%范围内得到的翼型均具有较好的性能。Moreover, through numerical calculation, the airfoils obtained with the above coefficients within the range of not more than 0.5% have good performance.
本实施例具有低阻高发散马赫数的共轴双旋翼高速直升机桨尖翼型的上下表面数据在下面的表1和表2中给出The upper and lower surface data of the coaxial twin-rotor high-speed helicopter tip airfoil with low resistance and high divergence Mach number of this embodiment are given in Table 1 and Table 2 below
表1翼型上表面数据Table 1 Data on the upper surface of the airfoil
表2下表面坐标Table 2 lower surface coordinates
将本实施例与经典OA407翼型进行气动性能计算对比,可以看出本实施例翼型在设计点及设计点附近在低速特性损失不大的情况下,高速阻力发散特性提升显著,基础阻力显著降低,并在所有状态下力矩特性均更好。Comparing the aerodynamic performance of this embodiment with the classic OA407 airfoil, it can be seen that the airfoil of this embodiment has a significant improvement in the high-speed resistance divergence characteristics and significant basic resistance under the condition that the low-speed characteristic loss is not large at and near the design point. reduced, and torque characteristics are better in all conditions.
表3发明翼型的气动特性表Table 3 Aerodynamic characteristics of the airfoil of the invention
表4对比翼型(经典OA407翼型)的气动特性表Table 4. Aerodynamic characteristics of the comparative airfoil (classic OA407 airfoil)
如图所示,本实施例的翼型相对于对比法国经典同厚度高速旋翼翼型OA系列翼型OA407,具有较小的前缘半径(A),使绕翼型前缘气流加速后保持较低的吸力峰值,吸力峰顶点(A’)保持合适有助于降低翼型后缘压力恢复点。然后从本发明翼型前缘(A)开始,翼型上表面所在曲线段B保持较小较为缓慢的弯度变化以及合适且较低的曲率增长,翼型前缘上表面弯度显著下降,直到达到最大厚度位置,使得翼型上表面压力分布从A’位置后开始变化平缓,到B’位置时出现经典的“双弱激波”压力分布形态,显著减小了激波强度,相应的翼型下表面流场激波也较弱。这种设计的压力分布形态不仅显著地降低了翼型流场阻力,同时也极大增强了翼型流场随马赫数和攻角变化后的稳健性,从而维持了发明翼型在一定马赫数范围内的低阻力特性和显著提高了阻力发散马赫数。As shown in the figure, the airfoil of this embodiment has a smaller leading edge radius (A) compared to the French classic high-speed rotor airfoil of the same thickness OA series airfoil OA407, so that the airflow around the leading edge of the airfoil remains relatively small after acceleration. A low suction peak, keeping the suction peak apex (A') in place helps reduce the pressure recovery point on the trailing edge of the airfoil. Then starting from the leading edge (A) of the airfoil of the present invention, the curve segment B where the upper surface of the airfoil is located maintains a small and relatively slow camber change and a suitable and low curvature increase, and the camber of the upper surface of the airfoil leading edge decreases significantly until it reaches the At the position of the maximum thickness, the pressure distribution on the upper surface of the airfoil changes gently from the A' position, and when it reaches the B' position, the classic "double weak shock wave" pressure distribution pattern appears, which significantly reduces the shock intensity. The corresponding airfoil The lower surface flow field shock is also weaker. The pressure distribution shape of this design not only significantly reduces the airfoil flow field resistance, but also greatly enhances the robustness of the airfoil flow field with changes in Mach number and angle of attack, thus maintaining the invention airfoil at a certain Mach number. Low drag characteristics of the range and significantly improved drag divergence Mach number.
本发明翼型从C处到翼型尾缘设计至厚度不再变化,压力分布在C’位置产生的积分区域控制了翼型低头力矩的增加(力矩参考点为1/4弦线位置),使得翼型力矩系数好于同状态下OA407翼型,其绝对值也远小于0.02,即有效提高了高速旋翼翼型的力矩特性,降低了配平阻力。通过自然转捩状态计算表明,在高速零升状态下(Ma=0.87,CL=0.00,Re=6.264e6)及其附近范围内,本发明翼型具有非常低的阻力系数,考察点阻力系数为0.00673,相对于对比OA407翼型的阻力系数0.01084降低了41.1counts。同时本发明翼型阻力发散马赫数为0.875,相较于OA407翼型的0.854提高了0.021,在宽马赫数范围内保持了更低的阻力系数和低阻范围。并在整个高、中、低马赫数(Ma=0.2~Ma=0.87)范围内保持了相对于经典OA407翼型更好的力矩特性。The airfoil of the present invention is designed from the position C to the trailing edge of the airfoil until the thickness does not change, and the integral area generated by the pressure distribution at the position C' controls the increase of the airfoil bowing moment (the moment reference point is the 1/4 chord line position), The airfoil moment coefficient is better than that of the OA407 airfoil in the same state, and its absolute value is far less than 0.02, which effectively improves the moment characteristics of the high-speed rotor airfoil and reduces the trim resistance. The calculation of the natural transition state shows that in the high-speed zero-lift state (Ma=0.87, CL=0.00, Re=6.264e6) and its vicinity, the airfoil of the present invention has a very low drag coefficient, and the drag coefficient at the investigation point is 0.00673, a reduction of 41.1 counts relative to the drag coefficient of the comparative OA407 airfoil of 0.01084. At the same time, the airfoil of the present invention has a drag divergence Mach number of 0.875, which is 0.021 higher than that of the OA407 airfoil of 0.854, and maintains a lower drag coefficient and a low resistance range in a wide range of Mach numbers. And in the whole range of high, medium and low Mach numbers (Ma=0.2~Ma=0.87), it maintains better torque characteristics than the classic OA407 airfoil.
尽管上面已经示出和描述了本发明的实施例,可以理解的是,上述实施例是示例性的,不能理解为对本发明的限制,本领域的普通技术人员在不脱离本发明的原理和宗旨的情况下在本发明的范围内可以对上述实施例进行变化、修改、替换和变型。Although the embodiments of the present invention have been shown and described above, it should be understood that the above embodiments are exemplary and should not be construed as limiting the present invention, and those of ordinary skill in the art will not depart from the principles and spirit of the present invention Variations, modifications, substitutions, and alterations to the above-described embodiments are possible within the scope of the present invention without departing from the scope of the present invention.
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| CN116443244B (en) * | 2023-04-16 | 2023-09-29 | 西北工业大学 | High lift-drag ratio supercritical airfoil for advancing blade concept high-speed helicopter blade tip |
| CN116443245B (en) * | 2023-04-16 | 2023-12-08 | 西北工业大学 | A supercritical rotor airfoil with significantly improved high-speed characteristics based on the forward blade concept |
| CN116654250B (en) * | 2023-06-12 | 2025-01-24 | 西北工业大学 | A high-speed natural laminar airfoil with low torque, high drag and divergence Mach number suitable for rotors |
| CN116873195A (en) * | 2023-06-12 | 2023-10-13 | 西北工业大学 | Low-moment supercritical natural laminar flow wing profile for middle part of high-speed coaxial double-rotor helicopter blade |
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| CN116767487B (en) * | 2023-06-21 | 2025-06-24 | 西北工业大学 | Blunt trailing edge weak separation low-resistance airfoil designed based on front-back symmetrical appearance of uniform incoming flow condition |
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