Mach reflection in steady supersonic flow considering wedge boundary-layer correction

Mach reflection in steady supersonic flow is an important phenomenon having received extensive studies, among which simplified theoretical models to predict the size of Mach stem and other flow structure are of particular interest. Past efforts for such models were based on inviscid assumption while in real cases the flow is viscous. Here in this paper we consider the influence of wedge boundary layer on the Mach stem height. This is done by including a simplified boundary layer model into a recently published inviscid model. In this viscous model, the wedge angle and the trailing edge height, which control the Mach stem height, are replaced by their equivalent ones accounting for the displacement effect of the wedge boundary layer, with the boundary layer assumed to be laminar or fully turbulent. This viscous model is shown to compare well with numerical results by computational fluid dynamics and gives a Mach stem height as function of the Reynolds number and Mach number. It is shown that due to the viscous effect, the Mach stem height is increased, through increasing the effective wedge angle.     

激光脉冲能量作用下隔离段激波形态及发展控制的数值研究

为了寻求有效的流动控制方法来降低隔离段总压损失，本文基于非定常雷诺平均的Navier-Stokes方程，探究激光脉冲能量沉积对二维及三维隔离段流场马赫反射的控制效果。在来流马赫数分别为1.61和2.51的隔离段流场马赫反射上游，加入脉冲能量沉积，对比激励流场与基础流场，结果表明：能量沉积主要通过高温热核和其诱导的压力波两种方式对马赫反射结构施加作用，显著地影响了马赫反射结构，促使Ma∞ =1.61来流工况下马赫杆的高度减小，马赫反射强度减弱；Ma∞ =2.51来流工况下的马赫反射结构转变为稳定的正规反射，减小了总压损失。控制过程包括：(1)能量沉积产生的局部高温降低当地马赫数，减小马赫反射强度；(2)高温热核诱导的弓形波与马赫反射相互作用，马赫反射结构变形；(3)以反压形式影响马赫反射。     

Reflection of a moving shock wave over an oblique shock wave

The reflection of a moving shock wave over a wedge immersed in a still gas and the reflection of a wedge induced steady shock wave over symmetrical and asymmetrical reflecting surfaces have received intensive considerations since more than 70 years ago. Here we consider a different shock reflection problem—reflection of a moving shock wave over an initially steady oblique shock wave induced by a wedge immersed in supersonic flow. For the flow condition we considered, five moving triple points, with each connecting an incident shock wave, a reflected shock wave and a Mach stem, are identified. By using the reference frame co-moving with each triple point, the type of each shock wave of this triple point is clarified. The present study is significant in that it treats a new shock reflection problem leading to a new shock reflection configuration and showing potential applications in supersonic flow with unsteady shock interaction.     

喷管间距对双喷流啸音影响的实验

实验详细测量了完全膨胀马赫数范围为110~160、喷管间距为16到32倍喷管出口直径的超声速双喷流近声场,分析了两个喷流各自发出的啸音在近声场的相位关系,研究了喷管间距对双喷流耦合的影响。结果表明:对比单喷流,双喷流耦合啸音在A模态时,呈现出反对称或对称模式,在反对称模式下,喷管中间区域啸音强度减小,对称模式下,双喷流中间区域啸音强度略大于单喷流啸音;B模态时,两个处于摆动模态的喷流啸音在喷管中间区域同相而发生耦合,极大地增强了B模态的幅值,达到160dB;C模态的相位关系还需进一步研究。对比不同喷管间距下的双喷流近声场,发现喷管间距过小或过大均不利于B模态的耦合;喷管间距对C模态影响最大,当喷管间距变大时,C模态幅值及主导马赫数范围均增大。      

球面激波对平面的马赫反射的简化处理

本文利用Whitham绕射理论,给出了球面激波对平面绕射时马赫杆的近似解,同时求得了马赫反射三波点迹线及壁面超压。另外还导出了新的面积函数表达式。在壁面超压的计算上,这些理论结果与用Whitham方程求得的数值解相符合。     

几何高度对RBCC发动机超声速侧压式进气道起动性能的影响

对两类典型的侧压式进气道在来流Ma=1.5～5.0范围内的起动性能开展数值模拟研究,研究了几何高度对进气道性能的影响.研究发现:不同高度的进气道起动过程所表现出来的流场特征差别较大,对于合适的高度,进气道未起动时的性能大为改善,起动过程的性能变化趋于平缓,起动马赫数较小（存在最小值）,此时进气道具有较好的起动性能并能在来流马赫数小于自起动马赫数时较好工作.      

平头增阻再入体俯仰动态特性计算与流动机理分析

采用自由振荡法数值模拟了一种平头增阻再入体的高超声速俯仰动态特性,沿用稳定性导数模型作为动态特性的指标,通过把稳定性导数视为攻角的函数来考虑非线性影响,并应用奇异分解线性最小二乘法辨识稳定性导数。对于本文研究对象,计算结果表明,平头外形在较高马赫数和小攻角范围内存在动不稳定现象,随着再入时马赫数的降低,动不稳定的攻角范围不断缩小,直至演化为动稳定的。文中对平头外形出现这种动态特性现象的空气动力学原因进行了分析,有必要作进一步的确证与研究。     

Drag increment induced by a small-scale forward-facing step in Mach number 5 turbulent boundary layer flows

Small-scale roughness elements or imperfections are inevitable over the surface of a flight vehicle. The aerodynamics of these small-scale structures is difficult to predict but may play an important role in the design of a flight vehicle at high speed. The forward-facing step is a typical type of roughness element. Many experiments have been conducted to study the aerodynamics of supersonic forward-facing step, especially with a step height larger than boundary layer thickness. However, few studies focus on small steps. To improve the understanding of small-scale forward-facing step flow, we perform a series of simulations to analyze its aerodynamic influence on a Mach number 5 turbulent boundary layer. The general flow structures are analyzed and discussed. Several shock waves can be induced by the step even if the step height is much smaller than the boundary layer thickness. Two significant shocks are the separation shock and the reattachment shock. The influenced area by the step is limited. With the increase of the step height, the non-dimensional influence area decreases and gradually converges when the step height reaches the boundary layer thickness. There are two normalized distributions of the skin friction coefficient and pressure coefficient associated with step height. By using the normalized parameters, a power-law relationship between the step height and the drag increment coefficient is revealed and fits the simulation results well. It is further illustrated that this relationship still holds when changing the inlet angle of attack, but needs slight modification with the angle of attack.     

高阶消失矩的Hermite三次样条小波

由于消失矩在小波应用中具有重要作用,本文在借鉴Jia和Liu工作的基础上,构造了支集在[-2,2]内具有6阶,7阶消失矩的对称及反对称Hermite三次样条函数峨,峨,并且证明它们的整平移具有如（R）稳定性．首先说明在一定意义下所有支集在内[-1,1],对称和反对称的小波均为Jia所求解小波的常数倍．其次,尝试按照Jia的标准构造支集在[-2,2]上的具有高阶消失矩的小波,遗憾的是它们的整平移不具有稳定性;最后,通过改变了标准,得到了理想的结果。     

Investigation of straightforward impedance eduction method on single-degree-of-freedom acoustic liners

In order to address the current aircraft noise problem, the knowledge of impedance of acoustic liners subjected to high-intensity sound and grazing flow is of crucial importance to the design of high-efficiency acoustic nacelles. To this end, the present study is twofold. Firstly, the StraightForward impedance eduction Method (SFM) is evaluated by the strategy that the impedance of a liner specimen is firstly experimentally educed on a flow duct using the SFM, and then its accuracy is checked by comparing the numerical prediction with the measured wall sound pressure of the flow duct. Secondly, the effects of grazing flow and high-intensity sound on the impedance behavior of two single-layer liners are investigated based on comparisons between educed impedance and predictions by three impedance models. The performance of the SFM is validated by showing that the educed impedance leads to excellent agreement between the simulation and the measured wall sound pressure for different grazing flow Mach numbers and Sound Pressure Levels (SPLs) and over a frequency range from 3000?Hz down to 500?Hz. The grazing flow effect generally has the tendency that the acoustic resistance exhibits a slight decrease before it increases linearly with an increase in Mach, predicted successfully by the sound-vortex interaction theoretical model and the Kooi semi-empirical impedance model. However, the Goodrich semi-empirical impedance model gives only a simple linear relation of acoustic resistance starting from Mach zero. Additionally, when the SPL increases from 110 to 140?dB in the present investigation, the acoustic resistance exhibits a significant increase at all frequencies in the absence of flow; however, the resistance decreases slightly under a grazing flow of Mach 0.117. It indicates that the SPL effect can be greatly inhibited when flow is present, and the grazing flow effect can be reduced partly as well at a relatively high SPL.     

平面激波绕矩形障碍物后的绕射与反射

本文通过激波管二维光测模型实验和采用矩形网格的FLIC方法进行数值计算两种手段针对平面激波绕矩形障碍物后的绕射与反射的问题进行了分析和研究。文中给出了绕射波的波形以及平面激波绕过矩形障碍物后与地面相互作用而产生的从规则反射到马赫反射的波系图案。本文考虑了入射激波马赫数M_i及不同矩形障碍物高度H的影响,并将二维光测模型实验同数值计算的结果进行了比较。     

气相爆轰波马赫反射非自相似性特征的实验

为了研究在CJ(Chapman-Jouguet)状态下气相爆轰波马赫反射的非自相似性特征,搭建了由驱动段、传播段以及观测段组成的矩形管道;利用纹影和烟膜实验方法分别对3种预混气发生马赫反射现象进行了实验研究.实验结果表明:对稳态或非稳态气体,测量了马赫反射三波点位置高度,验证了马赫反射三波点轨迹线为波动的曲线,即自相似性对爆轰波马赫反射失效;非自相似性的重要特征是三波点轨迹线在楔角初始位置时基本遵循无反应冲击波理论计算结果,随后逐渐偏离并向有反应冲击波转变,之后接近平行于反应冲击波理论计算并稳定地处于两个理论值之间.最后给出在初始压力为10kPa和楔角为30°的条件下,对于所研究的3种气体,其马赫反射三波点发生转变的位置高度分别约为0.8,1.05cm以及0.5cm,可见相同初始条件下非稳态气体的马赫反射发生转变比稳态气体提前.      

涡轮叶栅叶尖间隙流实验研究(英文)

This article describes the effects of some factors on the tip clearance flow in axial linear turbine cascades. The measurements of the total pressure loss coefficient are made at the cascade outlets by using a five-hole probe at exit Mach numbers of 0.10, 0.14 and 0.19. At each exit Mach number, experiments are performed at the tip clearance heights of 1.0%, 1.5%, 2.0%, 2.5% and 3.0% of the blade height. The effects of the non-uniform tip clearance height of each blade in the pitchwise direction are also studied. The results show that at a given tip clearance height, generally, total pressure loss rises with exit Mach numbers proportionally. At a fixed exit Mach number, the total pressure loss augments nearly proportionally as the tip clearance height increases. The increased tip clearance heights in the tip regions of two adjacent blades are to be blame for the larger clearance loss of the center blade. Compared to the effects of the tip clearance height, the effects of the exit Mach number and the pitchwise variation of the tip clearance height on the cascade total pressure loss are so less significant to be omitted.     

准定常强激波马赫反射波形的数值研究

应用DCD频散控制激波捕捉格式,求解二维、多组分、带有化学反应的Euler方程组,数值模拟了准定常强激波的马赫反射问题.研究结果表明:与经典马赫反射理论相比,在强激波条件下,激波诱导的气体分子振动激发和化学反应使马赫反射的三波点轨迹角变小、马赫杆高度变低、楔顶附体激波倾角变小;马赫杆的相对突出量随入射激波马赫数和楔角的增大而增大,而气体分子的振动、离解等真实气体效应能进一步加剧马赫杆的向前突出.     

低速叶型气动反问题设计方法

 低马赫数不可压流动中声速与流速大小差别巨大,采用基于可压缩流动控制方程的计算格式求解流场时,由于数值黏性的污染,解的精度低且收敛性差,通常可使用时间预处理技术来解决这一问题。在基于控制理论的优化方法中,共轭方程的Jacobian矩阵和流动方程的系数矩阵相似,因而在低流动马赫数下,求解共轭方程存在着与求解流动方程相同的数值污染和数值刚性问题。首先推导了带有预处理的Roe格式,然后发展了适合全速度流动的共轭方程求解方法,最后选取翼型和叶栅两个典型算例进行了验证。计算结果表明所发展的方法可很好地用于低马赫数时的气动反问题设计。     

高超声速飞行器流动特征分析

在非流线型构件或突起物的扰动效应、高马赫数和低雷诺数极限效应、低湍流度环境效应和由激波或摩擦导致的气动加热效应等4个方面的影响下,未来高超声速飞行器涉及的流动主要表现出这样的特点:典型流动结构强度高、尺度大,如强激波和厚边界层;局部流动结构数量多;激波、膨胀波和边界层结构之间相互干扰十分严重;转捩、压力脉动和一些流动结构对细微因素非常敏感;压力、摩擦应力和热流峰值现象普遍;升阻比屏障难以突破;流场同时依赖大量无量纲参数和有量纲参数,导致实验模拟难度大。本文在回顾传统高超声速流动主要流动现象的基础上,对上述7个方面涉及的典型流动现象的基础研究现状、问题本质和因果关系进行综合描述,讨论如何更有效地面对基础研究和工程实际问题。该文既可为解决典型流动现象中尚未解决的基础研究提供帮助,也可为如何合理地利用有限的已知知识解决工程应用问题提供指导。     

振动激发对激波反射的影响

定常激波反射分为规则反射和马赫反射,在不同条件下2种反射结构之间会相互转变。高超声速流动中的激波反射问题常面临高温气体效应,随着温度逐渐升高,最先出现的是空气分子振动激发。通过理论分析和定量计算,研究了振动激发对激波反射及其转变规律的影响。首先给出考虑振动激发的空气热力学模型,并分析其与量热完全气体的差异以及对激波关系的影响;接着分析在规则反射和马赫反射中,振动激发对激波反射流场的影响规律;最后讨论振动激发对激波反射转变2个准则点的影响。研究结果表明,振动激发使激波极线的整体轮廓变大,且这种差异在经过一次激波反射之后被明显放大,会对激波反射的流场产生重大影响;对于激波反射的转变,振动激发使转变的2个准则点都变大,且对规则反射向马赫反射转变的脱体准则影响更大。     

不同密度梯度的多层流体界面上的Richtmyer-Meshkov不稳定性研究

在气-液界面Richtmyer-Meshkov（R-M）不稳定性研究的基础上,利用不同流体间密度的差异,构造了空气-硅油-水、空气-酒精-硅油两种流体粘度方向迥异的气-液-液三相界面,实验中以氮气作为高压驱动气体,在不同激波马赫数下对这两种界面R-M不稳定性后期尖钉与气泡区发展进行了测量与统计,通过对实验数据的分析,得出了相关规律,并用这些规律与已有的单层气-液界面R-M不稳定性研究成果作比较,得出了异同点。同时,还研究了两种三相界面在R-M不稳定发展中的差异。实验结果表明：当流体的粘度梯度方向（从小到大的方向）与激波方向一致时,界面失稳更加明显,湍流混合更为显著。     

非线性扰动方程研究平面混合层发声机制

在流动过程中由脉动引起的噪声问题在自然界和工业界中广泛存在,研究流动过程中不稳定波的发声机制对于理解、预测并最终控制气动噪声有着重要意义。本文以二维 Blasius 相似性解作为基本流场,以超声速混合层作为研究对象,采用非线性扰动方程(NLDE)研究超声速混合层不稳定波的近场动力学特性与远场声辐射之间的内在联系。针对不同类型的对流马赫数,分别研究对流马赫数 Mc =0.5(<1)和 Mc =1.2(≥1)两种情况下的扰动发声机制,结果表明：当对流马赫数 Mc <1时,流场中的发声机制主要由大尺度结构的涡条发声,且基本波与亚谐波之间的非线性作用能增强辐射强度;当对流马赫数 Mc ≥1时,根据扰动相速度是相对于上层还是下层自由流速度为超声速,可以进一步分为快慢两种模态,分别对快慢两种模态以及其相互作用模态进行了数值模拟研究,计算得到流场中的发声机制是以马赫波形式辐射向远场,即马赫波辐射,其辐角的计算结果与理论值相符。     

圆柱跨声速绕流中的激波/湍流相互作用大涡模拟研究

采用大涡模拟方法研究了圆柱跨声速绕流中的激波/湍流相互作用问题,来流马赫数M∞取为0.75,基于圆柱直径D的雷诺数为2×105。计算结果表明,圆柱分离点处出现一道斜激波,并且以与涡脱泻Strouhal数一致的特征频率向上游传播。激波运动导致流场中出现反对称的流动模态,剪切层中压力信号的功率谱曲线中存在0.4、-1和-5次方的斜率关系,剪切层中的剪切应力角约为0°,脉动速度以流向脉动速度为主,并且沿剪切层的大尺度结构组织性减小。