Experimental and numerical investigation of threedimensional vortex structures of a pitching airfoil at a transitional Reynolds number

This research examines the vortex behaviors and aerodynamic forces in dynamic stall phenomena at a transitional Reynolds number(Re = 90000) using experimental and numerical approaches.Periodic sinusoidal pitching motion at two different reduced frequencies is used to achieve the dynamic stall of a NACA 0012 airfoil.Several leading edge vortices form and detach in the dynamic stall stage.The flow then quickly transitions to a full separation zone in the stall stage when the angle of attack starts to decrease.There is discrepancy between the phaseaveraged and instantaneous flow field in that the small flow structures increased with angle of attack, which is a characteristic of the flow field at the transitional Reynolds number.The interaction between the streamwise vortices in the three-dimensional numerical results and the leading edge vortex are the main contribution to the turbulent flow.In addition, the leading edge vortex that supplies vortex lift is more stable at higher reduced frequency, which decreases the lift fluctuation in the dynamic stall stage.The leading edge vortex at higher reduced frequency is strong enough to stabilize the flow, even when the airfoil is in the down-stroke phase.     

扑动翼型的低雷诺数气动特性分析

通过求解引入拟压缩项的不可压Navier-Stokes方程,数值模拟了绕扑动翼型的低雷诺数非定常流动。针对厚度在4%-12%之间的NACA对称翼型,分析了翼型厚度等参数对扑动翼型气动特性的影响。在低雷诺数条件下,对于纯俯仰运动,随着翼型厚度的减小,平均阻力系数也变小。而对于纯沉浮运动,发现翼型厚度对气动特性的影响和俯仰运动有很大的差别,平均阻力系数随着翼型厚度的减小而变大。通过对沉浮运动一个周期流线图的分析,认为这是翼型前缘涡的影响造成的。由于前缘涡的影响,翼型厚度增加,平均压差阻力系数变小,甚至会出现负值。雷诺数的影响研究表明,随着雷诺数的增加,扑动翼型的阻力系数减小的趋势越缓慢。     

三角翼跨声速动态失速与涡破裂特性研究

通过数值方法研究了高速气流中细长三角翼作匀速上仰机动飞行时的背风面分离流与涡破裂特性和气动力特性。结果表明,在三角翼匀速上仰非定常绕流中,涡破裂起始攻角与上仰速度关系比较复杂,在本计算速度范围内,涡破裂起始攻角变化很小;动态时涡破裂点发展速度随攻角变化规律与静态结果差别甚大;三角翼大攻角非定常绕流前缘涡涡轴附近的流动以不稳定涡和涡破裂为主要特征;在一定的上仰速度以后即使在中等攻角前非定常升力与定常升力仍有较大差别,与低速情况有所不同;上仰运动使涡破裂点发展速度被延缓,从而提高了失速攻角和最大升力,并使失速攻角与涡破裂起始攻角的间隔进一步拉大,同时不改变升阻比     

翼型前缘变形对动态失速效应影响的数值计算

翼型或机翼的动态失速效应所引起的低头力矩和正气动阻尼限制了飞行器气动性能的提高,甚至可能诱导发生不稳定运动。应用于小尺寸机翼的前缘动态变形（DDLE）技术,通过实时改变前缘形状,能够改善翼型前缘区域的速度梯度,进而抑制动态失速效应。采用转捩剪切应力输运（SST）黏性模型结合分区混合动态网格技术,研究了这种前缘变形对机翼俯仰运动所引起的非定常流动的影响,得到通过小幅度前缘变形抑制和延迟动态失速的方法,从而提高翼型的气动性能。翼型NAC A0012的数值模拟结果与动态失速风洞试验结果比较表明：所使用的数值计算方法能够较为准确地模拟翼型在动态失速过程中升力系数与俯仰力矩系数的变化情况,可用于研究前缘变形对翼型俯仰运动所引起的非定常流动的影响。前缘动态变形翼型俯仰运动过程的非定常流场的数值模拟表明：在大迎角下不同幅度的前缘下垂运动能够抑制流动分离的发生,从而抑制动态失速,但在大迎角下小幅度高频率的前缘下垂变形能更高效地抑制动态失速;前缘变形幅度以及变形沿中弧线的分布对升力系数和俯仰力矩系数的影响并不明显。     

俯仰振荡翼型推阻力转变滞后机制数值研究

扑翼产生的反卡门涡街被认为是一种推力型尾迹,但已有研究指出,随着斯特劳哈尔数(St)增大,低雷诺数下俯仰振荡翼型的净推力产生明显滞后于反卡门涡街的出现.为探究该现象背后的物理机制,对NACA0012翼型在雷诺数1000条件下作简谐俯仰运动的流场进行了数值模拟.采用翼型表面积分方法和基于有限控制体的气动力估计方法分别研究...     

Effect of flexibility on unsteady aerodynamics forces of a purely plunging airfoil

Introducing flexibility into the design of a vertically flapping wing is an effective way to enhance its aerodynamic performance. As less previous studies on the aerodynamics of vertically flapping flexible wings focused on the lift generated in a wide range of angle of attack·a 2D numerical simulation of a purely plunging flexible airfoil is employed using a loose fluid–structure interaction method. The aerodynamics of a fully flexible airfoil are firstly studied with the flexibility and angle of attack. To verify whether an airfoil could get aerodynamic benefit from the change in structure, partially flexible airfoil with rigid leading edge and flexible trailing edge were further considered. Results show that flexibility could always reduce airfoil drag while lift and lift efficiency both peak at moderate flexibility. When freestream velocity is constant, lift is maximized at a high angle of attack about 40° while this optimal angle of attack reduces to 15° in drag-balanced status. The airfoil drag reduction, lift augmentation as well as efficiency enhancement mainly attribute to the passive pitching other than the camber deformation. Partially deformed airfoil with the longest length of moderate flexible trailing edge can achieve the highest lift. This study may provide some guidance in the wing design of Micro Air Vehicle (MAV).     

Numerical study of separation on the trailing edge of a symmetrical airfoil at a low Reynolds number

This study focuses on the trailing-edge separation of a symmetrical airfoil at a low Rey-nolds number. Finite volume method is adopted to solve the unsteady Reynolds-averaged Navier-Stokes (RANS) equation. Flow of the symmetrical airfoil SD8020 at a low Reynolds number has been simulated. Laminar separation bubble in the flow field of the airfoil is observed and process of unsteady bubble burst and vortex shedding from airfoil surfaces is investigated. The time-dependent lift coefficient is characteristic of periodic fluctuations and the lift curve varies nonlinearly with the attack of angle. Laminar separation occurs on both surfaces of airfoil at small angles of attack. With the increase of angle of attack, laminar separation occurs and then reattaches near the trailing edge on the upper surface of airfoil, which forms laminar separation bubble. When the attack of angle reaches certain value, the laminar separation bubble is unstable and produces two kinds of large scale vortex, i.e. primary vortex and secondary vortex. The periodic processes that include secondary vortex production, motion of secondary vortex and vortex shedding cause fluctuation of the lift coefficient. The periodic time varies with attack of angle. The secondary vortex is relatively stronger than the primary vortex, which means its influence is relatively stronger than the primary vortex.     

模拟厚度翼型非定常运动的涡方法

本文研究二维厚度翼型的大攻角非定常运动。用沿翼型表面分布的源和面涡来模拟翼型的厚度效应和升力效应,应用离散涡方法模拟前缘分离涡层和尾涡层。计算了大攻角翼型作俯仰运动的情形,与实验结果符合较好。     

Numerical Investigation of the Effects of Wind Tunnel Model Vibrations on the Measured Aerodynamic Properties of Airfoils and Wings

This paper presents a numerical prediction of the unsteady flow field around oscillating airfoils at high angles of attack by solving unsteady Reynolds-averaged Navier-Stokes equations with SST turbulence model in order to simulate the effects of wind tunnel model vibrations on the aerodynamic properties of airfoils,especially high-aspect-ratio wings in a wind tunnel.The effects of the phase lagging between different modes of oscillations,i.e.,the airfoil plunging oscillation mode,the pitching oscillation mode,and the forward-backward oscillation mode,are also studied.It is shown that the vibrations (oscillations) of airfoils can cause the unsteady shedding of large-size separated vortex to precede the stationary stall incidence,hence lead to a stall onset at some earlier (lower) incidence than that in the steady sense.The different phase lagging has different effect on the flow field.When the pitching oscillation mode has small phase lagging behind the plunging oscillation mode,the effect of vibrations is large.Besides,if the amplitude of the oscillations is large enough,and the different modes of vibrations match or combine appropriately,the unsteady stall may occur 2° earlier in angle of attack than the case where airfoils keep stationary.     

翼型等速上仰绕流结构的观测

 翼型在不同转速下等速上仰时,其绕流结构不一样,转速越高,前缘涡开始形成的迎角越大。给定转速时,初始迎角大前缘涡形成得早。终止迎角对流动结构的影响与转速有关。平板翼型上仰时,前缘涡在较小迎角开始形成,涡的尺寸较大。     

一种平尾涡流发生器设计和流动控制研究

平尾的气动特性直接影响飞机的飞行安全,基于改善飞机平尾在负攻角下流动特性的应用需求,设计一种涡流发生器,安装在平尾下表面。通过数值模拟方法研究平尾在不安装涡流发生器和安装涡流发生器两种构型下的流动特征和机理,分析飞机在负攻角下的俯仰力矩特性。结果表明：安装涡流发生器的平尾负失速迎角推迟了4°,负攻角下的俯仰力矩拐点推迟了4°左右,拓宽了飞机的飞行边界。     

尖侧缘机身布局的俯仰力矩特性及扰流板控制

针对尖侧缘机身布局在大迎角下存在的正俯仰力矩（抬头力矩）问题,通过风洞试验,首先研究了俯仰力矩的迎角分区特性及流动演化规律：线性增长区（迎角为0°~15°）,俯仰力矩线性增加,全机从附着流到形成进气道前缘涡和机翼涡;非线性增长区（迎角为17.5°~32.5°）,俯仰力矩非线性增加,机头涡出现,机头涡和进气道前缘涡逐渐增强,机翼涡增强后破裂;衰减区（迎角为35°~65°）,俯仰力矩逐渐减小,机头涡增强后破裂,进气道前缘涡破裂发展,机翼涡完全破裂。其次,发现了机身前体是产生正俯仰力矩的主要来源,机头涡是导致大迎角下正俯仰力矩的主控流动。当迎角为40°时,前体各截面正俯仰力矩在进气道前缘处达到最大,主要是由于该处机头涡诱导产生了较强的法向力。最后,提出了大迎角机身扰流板控制技术,产生了较好的控制效果。当迎角为40°时,扰流板可使正俯仰力矩减少62%,其原因是扰流板降低了机头涡涡量及其诱导产生的法向力,减少了机身前体对正俯仰力矩的贡献。该控制技术的缺点是扰流板会带来一些升力损失和附加阻力。基于尖侧缘机身参考宽度的雷诺数为2.59×10⁵。     

Experiments on unsteady vortex flowfield of typical rotor airfoils under dynamic stall conditions

A new experiment for airfoil dynamic stall is conducted by employing the advanced particle image velocimetry(PIV) technology in an open-return wind tunnel. The aim of this experimental investigation is to demonstrate the influences of different motion parameters on the convection velocity, position and strength of leading edge vortex(LEV) of airfoil under different dynamic stall conditions. Two different typical rotor airfoils, OA209 and SC1095, are measured at different free stream velocities, oscillation frequencies, and angles of attack. It is demonstrated by the measured data that the airfoil with larger leading edge radius could notably decrease the strength of LEV. The angle of attack(Ao A) of airfoil can obviously influence the dynamic stall characteristics of airfoil,and the LEV would be effectively inhibited by decreasing the mean pitch angle. In addition, the convection velocity of LEV is estimated in this measurement, and the results demonstrate that the influence of airfoil shape on convection velocity of LEV is limited, but the convection velocity of LEV would be increased by enlarging the oscillation frequency. Meanwhile, the convection velocity of LEV is a time variant value, and this value would increase as the LEV convects to the trailing edge of airfoil.     

翼型大攻角绕流的数值模拟

以求解二维N-S方程数值模拟NACA0012翼型大攻角状态的可压绕流特性;N-S方程是在贴体坐标系中给出的,以代数方法生成C型网格系统。采用LU-ADI格式计算,为提高格式的稳定性在隐式和显式部分分别添加了2阶和4阶人工粘性项。应用BaldwinLomax湍流二层代数模型模拟了大攻角时前缘分离涡的形成,旋涡对流及其非定常现象。在某些Mach数和攻角下NACA0012翼型的湍流解具有周期性。通过比较,本文数值计算结果同实验及国外相应的数值计算结果基本吻合。     

褶皱位置对蜻蜓滑翔翼气动性能的影响

改变昆虫翅膀的褶皱结构可以优化翼型的气动性能,有利于微型飞行器的气动设计。以蜻蜓翼作为参考,采用计算流体力学（CFD）的方法计算了攻角范围为0°~20°,雷诺数范围为700~2300时褶皱位于前缘、尾缘和中部位置时三种翼型的滑翔气动性能。结果表明:在不同攻角和雷诺数下,褶皱位于尾缘的翼型具有最大的升力系数和升阻比,滑翔气动性能最优;当雷诺数为1500,攻角为10°时,褶皱位于尾缘的翼型时均升力系数分别比位于前缘和中部的翼型提高了58%和82%,升阻比分别提高了49%和33%;这是由于尾缘褶皱中的涡起到了延缓前缘涡脱落的作用,使前缘涡更为集中,更贴近壁面。      

扇翼飞行器翼型附面层控制数值模拟

基于扇翼飞行器翼型特殊的几何形状及流场特性,在原有翼型的弧形槽下方和后缘加装控制阀门,通过调节阀门开启及开启尺寸的大小,利用弧形槽低压涡所产生的吸力对翼型后缘的附面层进行一定的控制,达到增升减阻的效果。通过采用计算流体力学的方法对其机理及阀门开启尺寸的影响进行了详细计算和分析,研究表明当阀门开启的尺寸为10 mm时,修改翼型的最大升力系数、失速迎角及相同迎角下的升力系数和推力系数均大于基本翼型;随着阀门开启尺寸的增大,修改翼型的最大升力系数和失速迎角均减小,但是在失速前,修改翼型在相同迎角下的升力系数大于基本翼型。此方法可以改变先前通过增大横流风扇的转速来提高其气动性能的做法,减小了能量的消耗,增大了整个飞行器的航程,为扇翼飞行器能够早日投入实际运用奠定了一定的理论基础。     

低雷诺数仿生分离流翼型气动特性初探

为了探索适合低雷诺数微型飞行器的翼型形式,基于对自然界鸟类和昆虫滑翔飞行时翅膀形状的观察,设计出一种由前缘削尖平板和后缘圆弧翼型组合而成的仿生分离流翼型。数值研究结果表明,气流在削尖平板的前缘点强制分离,形成大范围低压分离流动,随后在后部圆弧翼上表面再附形成稳定低压涡流区,从而实现较高的气动效率和较强的抵抗大气湍流的能力。上削尖平板可以使流动分离点固定在削尖点。相对于单独平板,仿生分离流翼型的升力系数有大幅提高,迎角为4°时提高了112%。此外,仿生分离流翼型可以在较宽的迎角范围内（4°~20°）保持高升力,但是迎角增加,阻力也快速增大,因此小迎角情况下（小于4°）气动效率更优。      

Lift performance enhancement for flapping airfoils by considering surging motion

The flapping motion has a great impact on the aerodynamic performance of flapping wings. In this paper, a surging motion is added to an airfoil performing pitching-plunging combined motion to figure out how it influences the lift performance and flow pattern of flapping airfoils. Firstly, the numerical methods are validated by a NACA0012 airfoil pitching case and a NACA0012 airfoil plunging case. Then, the E377m airfoil which has typical geometric characteristics of the bird-like airfoil is selected as the calculation model to study how phase differences φ₁ between surging motion and plunging motion affect the aerodynamic performance of flapping airfoils. The results show that the airfoil with surging motion has comprehensively better lift performance and thrust performance than the airfoil without surging motion when 15°< φ₁ < 90°. It is demonstrated that surging motion has a powerful ability to improve the aerodynamic performance of flapping airfoil by adjusting φ₁. Finally, to further explore how flapping airfoil improves lift performance by considering surging motion, the flapping motions of E377m airfoil with the highest lift coefficient and lift efficiency are obtained through trajectory optimization. The surging motion is removed in the highest lift case and highest lift efficiency case respectively, and the mechanism that surging motion adjusts the aerodynamic force is analyzed in detail by comparing the vortex structure and kinematic parameters. The results of this paper help reveal the aerodynamic mechanism of bird flight and guide the design of Flapping wing Micro Air Vehicles (FMAV).     

Computations of unsteady transonic flow over airfoil at low Reynolds number

Transonic flow over a thin airfoil at low Reynolds number was studied numerically by directly solving two-dimensional full Navier-Stokes equations through 5th order weighted essentially non-oscillatory(WENO) scheme without using any turbulence model.A series of distinguished unsteady phenomena for a thin 2-D transonic airfoil flow were presented.Due to continuous adverse pressure gradient in the subsonic flow downstream of the sonic line, the unsteady separated boundary layer with main vortex and secondary vortex was developed at the rear of the airfoil.At the trailing edge,the vortex-shedding was characterized by periodical connection of the main vortex and secondary vortex on the other side of the airfoil.The unsteady separation and vortex-shedding occurred with the same period.On the airfoil surface,the average pulse pressure related to the unsteady supersonic region was obviously smaller than that related to the vortex-shedding at the trailing edge.With the attack angle increasing from 0° to 2°, the frequency of vortex-shedding decreases about 4.2%.At last, the turbulence intensity and many second-order statistics in the wake region were investigated.      

翼型大迎角振动对气动性能影响的实验研究与初步分析

通过在NF-3低速风洞专门研制的翼型模型及相应的俯仰和沉浮振动机构,选用NACA0012翼型进行大迎角下不同频率的振动实验,研究了模型振动平均状态下对其气动力特性的影响情况,并在N-S方程基础上对振动流场进行了初步分析。实验与计算研究的结果表明：在临近定常失速迎角的大迎角条件下,翼型的振动可以引起旋涡分离,导致翼型升力减小和失速迎角的提前。就所涉及的两种振动模式而言,俯仰振动的影响大于沉浮振动,所以,模型设计和加工时要特别注意加强机翼弦向的扭转刚度。