Visualization and analysis of muzzle flow fields using the Background-Oriented Schlieren technique

Several experimental and numerical studies on muzzle blast and flow fields have been performed. However, due to the extremely short duration and the spatiotemporal evolution of these flows, experimental quantitative techniques are limited. As a consequence, the number of validated numerical calculations is limited as well. On the other hand, despite the development of computer models that have succeeded in predicting the measured pressure and velocity, they show unrealistic temperatures and densities. Therefore, temperature and/or density measurements are required to validate these codes, thus the motivation of this research. The present paper focuses on the development of a density-sensitive and non-intrusive measurement technique and the implementation of a quantitative flow visualization method based on Background-Oriented Schlieren (BOS) combined with a high-speed camera. In BOS, the experimental setup of conventional Schlieren (mirrors, lenses, and knife-edge) is replaced by a background pattern and a single digital camera. The muzzle flow fields and the flow field around a 5.56-mm projectile in flight were successfully visualized. Indeed, the implemented experimental high-speed BOS setup has demonstrated its ability to capture clearly the salient features of the precursor and the propellant gas flow fields and their interactions. The captured structures such as vortex, barrel shock, Mach disk, and blast wave show a good agreement with that issued from a realized conventional Schlieren setup and the bibliography, confirming the BOS capability to visualize complex density flow fields.     

温度场纹影定量测量技术

为了研究纹影系统的温度场定量测量技术,本文详细阐述了纹影技术的定量测量原理,并通过分析流场纹影图像灰度大小与未被遮挡的光源像面积的关系,提出了一种新颖的流场温度定量测量的计算方法。首先,在光学平台上搭建了透射式纹影系统,将加热平台放置在该系统的测量区域,利用CCD相机将采集到的纹影图像上传到上位机进行图像处理,然后采用该算法计算得到温度场的测量值,并与热电偶的测量值相对比。实验结果表明：在室温20℃时,将加热平台的温度分别设定为50℃和90℃,纹影系统测量得到的温度值相对误差小于10%,证明了该计算方法的可靠性,实现了以纹影技术为基础的温度场定量测量。     

Whole field spatial frequency analysis of double-or multiple-exposed PIV images

Speckle Velocimetry or high-image density PIV gives a velocity vector map of a twodimensional flow field by point-by-point spatial frequency analysis of local pattern at an interrogation spot in a double- or a multiple-exposed image of laser speckle or pseudo-speckle pattern generated by pulsed laser-light-sheet illuminations of a plane in the flow densely seeded with fine particles. The whole field spatial frequency analysis of the double- or multiple-exposed PIV image gives more useful information of the flow field. Optical Fourier transform is a conventional technique not only for the local spatial frequency analysis but for the whole field analysis. Filtering of spatial frequency is one of the typical techniques for the latter which can reconstruct a velocity contour or a component velocity contour map of the flow. Fundamentally this technique is a simple and efficient analogue method to get more information in the velocity field analysis of the flow than a digital image processing, but in practical applications the measurement is restricted to simple flows because of optical noise and low spatial resolution. In order to improve the technique, the fundamental characteristics of the filtering and the noise yielded in the filtering process must be investigated. Meanwhile, wavelet analysis can also be applied to the whole field spatial frequency analysis of PIV image. In this paper the filtering technique is examined by numerical convolution integral, and the results obtained are compared with ones obtained by the wavelet analysis.     

计算流体成像技术重构方法及其应用

建立系统的计算流体成像(CFI)技术,并论证其为流动数值模拟与风洞实验相互佐证的重要手段。采用纯数值模拟技术重构得到流场计算阴影、纹影以及干涉图,主要技术包括复杂湍流模拟技术、三线性插值技术和流动图像重构技术等。同时将CFI技术应用于激波管内绕障碍物三维复杂流动计算图像重构,并与双向全息实验结果进行了比较分析。研究证明该CFI技术可以用于复杂几何边界、分区域、非定常流动图像重构,不仅能够为流场结构特征分析提供重要参考依据,而且能够用于数值模拟与风洞实验结果的比较印证。     

基于背景纹影波前传感技术的气动光学波前重构与校正

背景纹影波前传感(backgroud oriented schlieren based wavefront sensing, BOS-WS) 是利用背景纹影技术测量光学波前二维分布的新型实验手段, 可定量测量光线通过干扰场后产生的光学畸变并给出光程差. 为了利用BOS-WS技术获得光线因气动光学效应产生的畸变信息, 并通过已知畸变信息还原原始图像, 进而探索一种新型的超声速成像制导方法, 本文通过理论分析, 验证了利用背景纹影技术测量光学波前的方法, 探索了利用已知波前信息预测畸变位移场以及利用已知位移场进行波前重构的计算方法. 通过数值模拟比较了一阶梯形积分算法和Southwell方法在波前重构上的误差大小和结果合理性, 并通过误差分析证明了Southwell方法更加精确合理. 通过蜡烛火焰上方流场畸变实验和透镜对波前的扰动实验, 创造性地探索了利用已知光学光程差还原畸变位移场及用其校正畸变图像的方法, 并通过验证性实验证明了校正方法的有效性.     

基于预处理HLLEW格式的全速域数值算法

基于HLLEW(Harten-Lax-Van Leer-Einfeldt-Wada)格式引入预处理技术发展适合求解全速域流场的三维Navier-Stokes求解器.引入低速预处理技术,重新构造HLLEW格式的耗散项,给出预处理后的HLLEW格式,并根据预处理后的雅克比矩阵构造相应的隐式时间推进方程.利用预处理方法求解NACA 4412低速不可压流动与RAE 2822跨声速可压缩流动,并与实验结果及原有方法的计算结果对比.结果表明:预处理HLLEW格式不仅提高低速不可压缩流动的计算效率和精度,也保持了对可压缩流动的处理能力,是一种适用于全速域流场数值模拟的有效方法.     

Density and temperature reconstruction of a flame-induced distorted flow field based on background-oriented schlieren(BOS) technique

An experimental system based on the background-oriented schlieren(BOS) technique is built to reconstruct the density and temperature distribution of a flame-induced distorted flow field which has a density gradient. The cross-correlation algorithm with sub-pixel accuracy is introduced and used to calculate the background-element displacement of a disturbed image and a fourth-order difference scheme is also developed to solve the Poisson equation. An experiment for a disturbed flow field caused by a burning candle is performed to validate the built BOS system and the results indicate that density and temperature distribution of the disturbed flow field can be reconstructed accurately. A notable conclusion is that in order to make the reconstructed results have a satisfactory accuracy, the inquiry step length should be less than the size of the interrogation window.     

电阻层析成像技术在两相流测量中的应用

过程层析成像技术能实时提供封闭管道、容器等过程设备内物场运动状态的二／三维测量信息,它为解决两相流参数的检测问题提供一种新的途径。本文以基于电学敏感原理的电阻层析成像技术为测量手段,实现在多相流实验装置上对气／水、油／水两相流二维／三维时空分布信息的实际测量;介绍了基于测量数据特性分析的在线流型识别技术和相含率的估计方法,应用现代数据处理和模式识别技术进行数据融合与提取,实现两相管流流型识别和分相含率的估计;通过开展相关测量的研究,初步实现两相流中离散相流量的测量。     

Three-dimensional bubbly flow measurement using PIV

The experimental flow visualization tool, Particle Image Velocimetry (PIV), is being extended to determine the velocity fields in three-dimensional, two-phase fluid flows. In the past few years, the technique has attracted quite a lot of interest. PIV enables fluid velocities across a region of a flow to be measured at a single instant in time in the whole volume (global) of interest. This instantaneous velocity profile of a given flow field is determined by digitally recording particle (microspheres or bubbles) images within the flow over multiple successive video frames and then conducting flow pattern identification and analysis of the data. This paper presents instantaneous velocity measurements in various three-dimensional, bubbly two-phase flow situations. This information is useful for developing or improving existing computer constitutive models that simulate this type of flow field. It is also useful for understanding the detailed structure of two-phase flows.     

激光诱导荧光聚焦纹影系统及超声速燃烧流场应用

纹影是一种常用的流动显示技术,广泛应用于可压缩流动显示及超声速燃烧流场实验.然而,在变Mach数超声速燃烧实验中,燃烧室总温随来流Mach数变化.受准稳态/非定常温度变化影响,光学玻璃窗口的折射率发生显著改变,影响基于密度梯度的纹影成像质量.同时,普通纹影为光程体积沿程积分,难以同二维燃烧场成像信息进行直接比较以开展燃烧与流动耦合研究.聚焦纹影技术可抑制燃烧室内高温引起的玻璃窗口折射率变化,并实现毫米级的急剧聚焦深度,获得二维流场结构,同时配合纳秒级脉宽Nd:YAG激光光源可冻结高超声速流场.在传统聚焦纹影系统基础上发展了激光诱导荧光聚焦纹影系统并应用于变Mach数超声速燃烧实验,创新点在于使用激光诱导荧光染料,以荧光作为光源消除原本激光光源中的相干噪声,同时发展了边缘增强图像处理方法.实验结果表明激光诱导荧光聚焦纹影系统及边缘增强图像处理方法能够有效消除激光光源相干噪声,捕捉二维超声速燃烧流场结构.      

Colour-coded tomography in fluid mechanics

A measuring principle for qualitative and quantitative analyses of three-dimensional unsteady flows is presented. The principle is based on colour coding of the flow volume under consideration. Coloured light sheets are generated and used to illuminate the flow volume. Consecutive light sheets of different colours are scanned over the volume within a small interval of time. Thus, the volume is sliced and colour-coded quasi-instantaneously. With this technique, the 3D position of a particle in the volume can be identified by a 2D image and an associated colour. Since most optical flow measuring systems are based on tracers, colour coding allows the application of 2D image recorders to register 3D flow information. The paper discusses the state-of-the-art of this principle for three-dimensional flow analyses and gives information about applicability and limitations.     

Recent contribution in color interferometry and applications to high-speed flows

Recent improvements brought to color interferometry for analyzing high-speed flows are described through different applications. First, the optical technique based on differential interferometry using a polarized white light and one or two Wollaston prisms allows to record high-speed interferograms of the flow downstream of a circular cylinder. Then, this technique has been applied to axisymmetric flows for studying an interaction between a supersonic hot jet and a coaxial supersonic flow. Another application concerns the study of hypersonic flows using Wollaston prisms with a large birefringence angle. Finally, the analysis of gaseous mixture and the evolution of two-gases interface submitted to an acceleration is presented. Interferograms analysis is made from a modeling of interference fringes versus the optical path difference which allows to easily extract quantitative information of the gas density. In order to obtain absolute measurements of the gas density, real-time holographic interferometry has been developed using a three-color laser source and a panchromatic holographic plate. The technique generates the achromatic white fringe which makes the zero order of interference fringes easy to identify. An application is presented in a 2D subsonic wind tunnel, in which the unsteady wake flow past a cylinder is recorded at high framing rate. In this optical setup, transmission holograms are used. As a conclusion, an approach is proposed to analyze the 3D flows from real-time color holographic interferometry using reflection holograms and the problems to solve are described.     

使用莫尔条纹法测量气流密度

把莫尔条纹应用于对称的和非对称的流场，测出了从喷嘴喷出的不完全膨胀气流的密度分布。气流的内部密度分布通过使用数字表示的转化方法转变成了莫尔条纹图像数据，这些莫尔条纹图像数据表明了同种光在穿过气流时将会发生折射。这一现象可以通过改变气体喷口的压力比来完成并观察到。实验表明：不同形状的喷嘴喷出的气流密度分布各不相同，而且复杂程度也不同，但沿着喷嘴气流轴的气流密度变化大致相似。     

Study on the unified algorithm for three-dimensional complex problems covering various flow regimes using Boltzmann model equation

The Boltzmann simplified velocity distribution function equation describing the gas transfer phenomena from various flow regimes will be explored and solved numerically in this study. The discrete velocity ordinate method of the gas kinetic theory is studied and applied to simulate the complex multi-scale flows. Based on the uncoupling technique on molecular movement and colliding in the DSMC method, the gas-kinetic finite difference scheme is constructed to directly solve the discrete velocity distribution functions by extending and applying the unsteady time-splitting method from computational fluid dynamics. The Gauss-type discrete velocity numerical quadrature technique for different Mach number flows is developed to evaluate the macroscopic flow parameters in the physical space. As a result, the gas-kinetic numerical algorithm is established to study the three-dimensional complex flows from rarefied transition to continuum regimes. The parallel strategy adapted to the gas-kinetic numerical algorithm is investigated by analyzing the inner parallel degree of the algorithm, and then the HPF parallel processing program is developed. To test the reliability of the present gas-kinetic numerical method, the three-dimensional complex flows around sphere and spacecraft shape with various Knudsen numbers are simulated by HPF parallel computing. The computational results are found in high resolution of the flow fields and good agreement with the theoretical and experimental data. The computing practice has confirmed that the present gas-kinetic algorithm probably provides a promising approach to resolve the hypersonic aerothermodynamic problems with the complete spectrum of flow regimes from the gas-kinetic point of view of solving the Boltzmann model equation. Supported by the National Natural Science Foundation of China (Grant Nos. 90205009 and 10321002) and the National Parallel Computing Center     

基于BOS的超声速流场瞬态密度场的可视化

瞬态密度场的可视化对于超声速流场复杂流动机理研究有着重要的参考价值.设计了基于脉冲激光照明的瞬态密度场可视化系统,针对非对称尖锥模型在Ф=120 mm激波风洞开展了双方向密度场可视化应用研究,获得了Ma=6条件下激波流场清晰的瞬态和长曝光背景纹影图像.研究表明,瞬态背景纹影图像曝光时间为10 ns,能够有效"冻结"超声...     

~4He超流密度分布研究

一种密度泛函理论用来研究当4He超流体流速u超过朗道临界流速vc时的不稳定性。发现有稳定的周期性密度波出现,其振幅正比于(u-vc)1/2,其波矢与旋子波矢一致。同时对纳米管道内氦流体进行了计算。     

气粒并流上行流动中颗粒团特性的实验研究

用流动显示法和图像分析法研究了气粒并流上行流动中颗粒团的瞬态行为,通过灰度梯度识别颗粒团,由颗粒团成像的象素确定其尺寸,采用相关分析法计算颗粒团的速度。随着颗粒流量的提高和表现气速的降低,气粒并流上行流动中开始出现颗粒团,由于颗粒团与气相的相互作用,流态具有不稳定和不规则的现象.在一定操作条件下,在壁面附近出现了一些长时间停留的大尺寸颗粒团.     

Schlieren成像和声场可视化

Schlieren技术是利用声场引起透明媒质光折射率的变化而实现声场可视化的光学成像技术。它具有对声场无干扰、快速、瞬态成像的特点。本文利用二维光学Fourier变换分析了Schlieren技术的成像原理,在采用连续激光和高速ICCD的Schlieren成像系统中,实验研究了平面波声场和线聚焦声场中换能器光学校准方法和声压的定量检测技术。发展声场瞬态和动态成像技术,观测了声波的聚焦过程和固-液界面的声场分布和变化。这些结果表明Schlieren技术是一种有效的声场可视化和定量检测的光学成像技术。     

基于格子Boltzmann方法的超声速非平衡流模拟

基于D1Q4可压缩格子Boltzmann模型,按照流通矢量分裂方法的思路,采用坐标旋转技术构造求解三维带化学反应Navier-Stokes方程对流通量求解器.结合有限体积法求解三维化学非平衡流Navier-Stokes方程,采用时间算子分裂算法解决化学反应刚性问题,数值模拟超声速化学非平衡流的三个经典算例.数值结果表明:在高马赫数下,采用D1Q4可压缩格子Boltzmann模型构造的三维对流通量求解器数值模拟中没有出现非物理解,同时在超声速化学非平衡流场中正确分辨激波、燃烧波等物理现象,精度和分辨率均较高,验证了本文构造的三维对流通量求解器的可靠性,拓宽了D1Q4可压缩格子Boltzmann模型的应用范围,为计算超声速化学非平衡流提供一种新方法.