旋转流体的实验研究

本文是作者近几年在旋转流体实验室模拟方面做的主要工作，研究涉及气动转台上，旋转流体对流涡旋的运动，水动转台上，旋转流体斜压波表面流动的变化，不稳定性结构，三维温度结构，急流的三维结构，地形的影响等诸多方面的问题。部分实验结论与大气实际观测结果有着极好地相似。     

强旋湍流气－固两相流动的颗粒随机轨道法模拟

应用颗粒随机轨道模型，并与一种新的代数Ｒｅｙｎｏｌｄｓ应力模型相结合，对新型煤粉涡旋燃烧炉内强旋湍流气。固两相流动进行了数值模拟。得到了与实验相符合的颗粒相密度分布和质量流分布。计算结果表明，在涡旋燃烧炉内的强旋湍流流场中，外壁附近颗粒浓度最高，颗粒停留时间加长，气－固两相间滑移速度增大。     

强旋湍流气－固两相流动的颗粒随机轨道法模拟

应用颗粒随机轨道模型，并与一种新的代数Ｒｅｙｎｏｌｄｓ应力模型相结合，对新型煤粉涡旋燃烧炉内强旋湍流气。固两相流动进行了数值模拟。得到了与实验相符合的颗粒相密度分布和质量流分布。计算结果表明，在涡旋燃烧炉内的强旋湍流流场中，外壁附近颗粒浓度最高，颗粒停留时间加长，气－固两相间滑移速度增大。     

剪切湍流大尺度相干结构的模式研究

发展了一种计算剪切湍流大尺度相干结构的新模式．该模式的基础是认为大尺度相干结构为湍流场中流体脉动能量增长最快的那部分，且包含大部分的湍流脉动能量．在此基础上。通过对湍流相干能量方程的推演。建立了描述大尺度相干结构的特征控制方程，并应用Ｃｈｅｂｙｓｈｅｖ多项式方法求得湍流相干能量的最大增长率在波数空间的分布，从而获得对应的大尺度相干结构．应用该模式研究了槽流和一自然对流中的大尺度相干结构，得到的近壁区流动结构与实验现象十分接近．     

带三个挠性附件的充液陀螺系统的非线性运动稳定性研究

本文利用能量－－Ｃａｓｉｍｉｒ方法研究了带三个挠性梁充液陀螺系统在力矩状态下关于绕铅垂轴稳态转动的非一稳定性条件，该条件考虑了液体的涡旋、弹性梁的振动、陀螺主刚体的旋转以及流一弹－－刚之间的耦合，此外还考虑离心力与Ｃｏｒｉｏｌｉｓ惯性力的影。本文为带挠性梁的充液陀螺系统的运动稳定性设计提供了可靠的理论依据。     

非对称槽道中涡旋波的特性研究

利用PIV流场显示技术，对振荡流体在非对称槽道中涡旋波的产生、发展和消失的规律进 行了实验研究和分析，测得了涡旋波流场的速度矢量图，阐明了涡旋波流场周期性变化的特 点. 结合涡动力学方程，深入分析并揭示了做周期性运动的流体能在槽道中产生波的特性这 一规律，从中发现：流体周期变化的非定常性和不对称的槽道结构是形成涡旋波流动的主要 因素. 本文对涡旋波流场中各个旋涡的速度分布和涡量进行了测量和计算，分析了涡旋波 强化传质的机理，并研究了Re数对涡旋波流动的影响     

圆盘近尾迹流场相关谱分析

对Re=22 000 时径厚比D/h=5 圆盘近尾迹开展大涡模拟数值研究. 通过对x/D=1, 2 和8 处脉动速度进行快速傅里叶变换（fast Fourier transformation, FFT）,发现3 个特征频率：斯特劳哈尔数St₂=0.123 为自然脱落频率,与文献结果相符;较小频率St₁=0.035,与回流区伸缩和剪切层附近涡旋脱落点的旋转相关;高频率St₃=1.3～1.7 则与剪切层湍流结构相关. 通过分析截面r/D=2.8 圆周上两点间流向速度相关系数、相干谱和相位谱,发现相关系数受涡旋脱落影响出现以30°或45°为周期的正负波动,表明轴面上涡旋脱落点具有随机性.     

基于涡旋识别方法的高速列车尾涡结构的讨论

利用改进型延迟分离涡模拟方法对缩尺比例1:30的高速列车简化模型的绕流流场进行数值计算,主要针对近尾流区的涡旋结构展开具体讨论. 通过不同的涡旋识别方法,发现在尾涡结构中,高涡量的强涡旋主要聚集于尾车附近,而涡量较低但处于相对稳定状态的涡旋分布在大部分尾流空间中. 对此,主要基于最新提出的涡旋定义及其物理意义认为,由于边界层在尾部发生的流动分离,剪切变形以及高涡量的扩散对强涡旋的形成发挥着重要的作用,而涡旋会被较强的剪切旋转拉伸,使得局部复杂的流动表现出突出的湍流特性;另一方面,尽管涡强度明显下降,但是在强剪切应变迅速衰减的情况下,流向涡核中的涡旋涡量是主要的,此时,在较接近地面的情况下,流体微团以涡核为中心的旋转运动使得涡旋与地面之间的相互作用成为主导的流动机制. 虽然涡强度会相对缓慢地衰减,但是从湍流能量产生的角度,该机制对涡旋的自维持发挥重要的作用,从而使尾涡结构能够相对稳定地存在于尾流流动中.      

用边界元方法数值分析绕平壁上一薄平板的STOKES流动

本文用边界元方法研究了绕平壁上一薄平板的Ｓｔｏｋｅｓ流动，数值模拟了薄平板与平壁成不同倾角ξ＝π／２时，平板左右两侧形成大小相等的两个涡旋，其涡心到角点的距离为平板高的０．５４倍；当ζ＝５π／１２时，平板两侧仍然形成两个涡旋，不过平板右侧５π／１２角内的涡旋明显大于板左侧的涡旋，其涡心距角点的距离右侧是平板高的０．６８倍，左侧是０．２９倍；当ξ＝π／３时，平板左侧的涡旋已经消失，右侧π／３角内角然     

槽道湍流近壁区相干结构的数值模拟

从流动稳定性理论中的共振三波出发，采用类似湍流直接数值模拟中的最小单元概念，用伪谱方法，对槽道湍流近壁区的单个相干结构进行了数值模拟，得到了与实验基本一致的结果，同时也搞清楚了在谱方法中用Ｃｈｅｂｙｓｈｅｖ－τ方法和配置点法哪个更精确的问题。     

Coherent vortices in a turbulent and rotating fluid

The emergence of coherent, intense and quasi-steady vortices in a rotating fluid under the action of turbulence is a phenomenon which is not yet well accounted for. A first deterministic approach by Maxworthy, Hopfinger and Redekopp (1985) related it to the occurence of mixed density fluid intrusions in a linearly stratified fluid. In the first part we present visualizations of the vortex genesis verifying qualitatively Maxworthy et al.'s ideas. In the second part, a linear instability model is proposed, very similar to the thermal convection instability in a rotating fluid. For marginal stability conditions, the model shows the occurrence of a regular spatial distribution of steady vortices. This new approach does not contradict the visualizations presented in the first part.     

Numerical simulations of turbulent shear flows

We simulate three-dimensional mixing layers, isotropic turbulence, and rotating turbulence. In the mixing-layer case, we show that high compressibility inhibits helical pairings obtained in the incompressible case, yielding a staggered array of large -shaped vortices. For isotropic turbulence, one shows the existence of large coherent low-pressure vortices, characterized by exponential tails of various p.d.f.'s. We develop also a new subgrid-scale model applied with success to the backward-facing step, and to the compressible boundary layer. Finally, one looks at the influence of solid-body rotation upon free-shear flows or homogeneous turbulence. At moderate Rossby numbers, cyclonic vortices are stabilized, while anticyclonic vortices are disrupted into intense Görtler-type alternate longitudinal vortices.     

Evolution of Two Vortices Near a Solid Surface

A numerical solution is found for the problem of evolution of two oppositely rotating vortices in a viscous incompressible fluid near a solid surface. The mechanism of vortex dissipation is determined. The trajectory of vortex motion is constructed.     

Formation of a tripolar vortex in a stratified fluid

This paper reports on an experimental study of vortices in a stratified fluid. The vortices were generated by two different stirring devices, viz. a rotating sphere and a rotating bent rod. It was found that the vortices created with the rotating sphere are mostly axisymmetric and stable, whereas the vortices produced with the bent rod generally show instabilities, under certain conditions leading to the formation of a tripolar vortex. This report concentrates on this tripolar structure and presents quantitative information about the flow obtained through streak photography of tracer particles.     

Vortex structures in geophysical convection

An intriguing variety of vortex structures arise during buoyant convection, especially in the presence of background stratification and rotation. These vortices play an important role in environmental fluid motions, bearing upon small-scale turbulence to planetary-scale circulation. A brief review of vortex motions associated with buoyant convection is presented in this paper, emphasizing the sources of vorticity, evolution of vortex structures and their role in oceanic and atmospheric dynamics. The genesis of a variety of vortices, for example, mushroom vortices, geostrophic and ageostrophic vortices, dipolar structures and hetons in buoyant convection flows is described, and parameterizations to represent their properties are discussed. New laboratory and numerical simulation results on vortex-related phenomena in stratified and rotating fluids and their implications in geophysical convective flows are also presented.     

Reconstruction of large coherent structures from SPIV measurements in a forced turbulent mixing layer

A procedure is suggested here for reconstructing the time variation of a three-dimensional (3D) coherent velocity field, based on applying Least Square Method to a very limited number of phase-locked measurements. The measurements are performed in a spanwise plane of a forced turbulent mixing layer by employing the stereo particle image velocimetry system. The forcing is produced by oscillating two- and three-dimensional (3D) flappers placed at the edge of the splitter plate. The feasibility and validity of the procedure for velocity field reconstruction are checked by using Hot Wire Measurements. Very clear patterns are observed of two types of coherent structures: spanwise K-H billows (rolls) and streamwise vortices. These are due to primary and secondary instabilities and their time evolution is presented.     

不定原点喷嘴射流中流体物理的实验研究(英文)

为了能够更好地了解不定源喷嘴(indeterminate origin nozzle)射流中的物理过程,本文应用平面激光诱导荧光技术对一个大尺度的水射流进行了实验研究。流场显示的实验结果表明不定源喷嘴在射流的剪切层引入了蘑菇形反向旋转的涡对。这些涡的矢量方向与射流方向相同或相反,被称为流向涡(streamwise vortex)。由于射流中存在开尔文-亥姆霍兹不稳定,每当一个横向涡(spanwise vortex,即涡的矢量方向与射流方向垂直)从喷嘴脱流时会产生瞬时的低压,该瞬时低压促使向内发展的流向涡对在喷嘴的凹槽处生成。这些涡对在向下游流动的过程中会重组并在喷嘴的尖峰面生成向外发展的涡对。这些流向涡极大地影响了射流的发展。流向涡与横向涡的相互作用促使射流更早地发展成为湍流。由于流向涡同时也在射流中引入了径向的剪切流动,因此导致了更多的湍流生成从而增强了射流与周围流体的混合。     

不定原点喷嘴射流中流体物理的实验研究

为了能够更好地了解不定源喷嘴（indeterminate origin nozzle）射流中的物理过程，本文应用平面激光诱导荧光技术对一个大尺度的水射流进行了实验研究。流场显示的实验结果表明不定源喷嘴在射流的剪切层引入了蘑菇形反向旋转的涡对。这些涡的矢量方向与射流方向相同或相反，被称为流向涡（streamwise vortex）。由于射流中存在开尔文一亥姆霍兹不稳定，每当一个横向涡（spanwisevortex，即涡的矢量方向与射流方向垂直）从喷嘴脱流时会产生瞬时的低压，该瞬时低压促使向内发展的流向涡对在喷嘴的凹槽处生成。这些涡对在向下游流动的过程中会重组并在喷嘴的尖峰面生成向外发展的涡对。这些流向涡极大地影响了射流的发展。流向涡与横向涡的相互作用促使射流更早地发展成为湍流。由于流向涡同时也在射流中引入了径向的剪切流动，因此导致了更多的湍流生成从而增强了射流与周围流体的混合。     

EFFECT OF SPANWISE SYSTEM ROTATION ON SPATIALLY DEVELOPING DEAN VORTICES

Three-dimensional spatially developing Navier–Stokes calculations are carried out to simulate the flow in a curved, rotating channel. The competition between centrifugal and Coriolis forces, expressed by the ratio of the Dean number to the rotation number, gives rise to a variety of possible instability modes characterized by the presence of streamwise vortices. Cases in which the force produced by system rotation enhances or opposes the centrifugal force are treated and the effect on the ensuing instability are analysed. Evidence for a generalized Eckhaus instability of rotating Dean vortices is presented.     

The N-vortex problem on a sphere: geophysical mechanisms that break integrability

We describe the dynamical system governing the evolution of a system of point vortices on a rotating spherical shell, highlighting features which break what would otherwise be an integrable problem. The importance of the misalignment of the center-of-vorticity vector associated with a cluster of point vortices with the axis of rotation is emphasized as a crucial factor in the interpretation of dynamical features for many flow configurations. We then describe two important physical mechanisms which break what would otherwise be an integrable problem—the interactions between the local center-of-vorticity vectors of more than one region of concentrated vorticity, and the coupling between the center-of-vorticity vector and the background vorticity field which supports Rossby waves. Focusing on the Polar vortex splitting event of September 2002, we describe simple (i.e., low dimensional) mechanisms that can trigger instabilities whose subsequent development cause the onset of chaotic advection and global particle transport. At the linear level, eigenvalues that oscillate between elliptic and hyperbolic configurations initiate the pinch-off process of a passive patch representing the Polar vortex. At the nonlinear level, the evolution and topological bifurcations of the streamline patterns are responsible for its further splitting, stretching, and subsequent transport over the sphere. We finish by briefly describing how to incorporate conservation of potential vorticity and the development of a model governing the probability density function associated with the point vortex system.