展向旋转平板Couette湍流中的多态现象

展向旋转平板Couette湍流(Spanwise rotating plane Couette flow,RPCF)是旋转壁湍流的标模问题之一,在过去的几十年里,被广泛用来研究旋转对壁湍流的统计和流动结构的影响。近些年,作者及其合作者就该问题开展了一系列直接数值模拟研究工作。该研究不仅发现了旋转在低旋转数和高旋转数时对流动结构和统计的不同影响,还首次在RPCF中发现了多湍流态现象:即在相同的控制参数下,流动可以处在两种不同的湍流态上,这两种不同的湍流态的流动结构和湍流统计差别显著。还发现该多态现象可以在很大的旋转数范围里存在。进一步分析大尺度二次流在不同态的能量传输中的作用,发现在二次流较弱的流态下,二次流起的作用相对较小,能量很大一部分直接从平均流传到剩余场;而当二次流较强时,二次流起到一个能量传输纽带作用。该分析也从侧面验证了大尺度结构在多态现象中占据重要地位的猜想。     

Compliant coatings for drag reduction

Compliant coating research is one of those areas which experienced its fair share of triumphs and debacles. For over forty years, the subject has fascinated, frustrated and occasionally gratified scientists and engineers searching for methods to delay laminar-to-turbulence transition, to reduce skin-friction drag in turbulent wall-bounded flows, to quell vibrations, and to suppress flow-induced noise. In its simplest form, the technique is passive, relatively easy to apply to an existing vehicle or device, and perhaps not too expensive. Through the years, however, claims for substantial drag and noise reductions were made, only to be later refuted when the results were more critically examined. There are several important issues with regard to the reliability of available analytical, numerical and experimental results. In this article, some of these issues, particularly as they relate to the search for drag-reducing compliant coatings, will be addressed with the objective of elucidating the potential pitfalls to newcomers to the field. Problem formulation with proper boundary conditions, impossibility of obtaining first-principles analytical solutions when the wall-bounded flow is turbulent, and limitations of existing numerical simulations will be elaborated. The effects of background turbulence in a wind or water tunnel, accurate drag measurements, compliant wall motion, and the geometry and properties of the coating used will be among the outstanding experimental issues discussed. Attempts will be made to explain some of the seemingly contradictory results available in the open literature.     

On near wall measurements of wall bounded flows—The necessity of an accurate determination of the wall position

The present review paper is an account on the experimental determination of the wall position relative to the probe in wall-bounded turbulent flow studies. A thorough review on common measurement techniques as well as correction methods reveals, that there are a number of pitfalls, that—when not accounted for—can lead to wrong conclusions about the wall position and thereby also on the near-wall behaviour of mean and turbulence quantities. Employing the state-of-the-art databases from direct numerical simulations of wall-bounded turbulent flows various indirect methods have been tested and assessed in terms of their robustness and accuracy. It is also demonstrated that accurate measurements reaching the viscous sublayer are necessary in order to ensure a correctly deduced wall position, and dependent quantities as for instance the near-wall scaling of mean (e.g. Reynolds number dependence of the buffer region or the log law constants) and turbulence (e.g. the near-wall peak location of Reynolds stresses) quantities.In experiments using hot-wires near the wall it is well known that heat conduction between the hot-wire and the wall gives errors and mean velocity data from the viscous sublayer can usually not be used to determine the wall position. In this paper we introduce a new method which takes advantage of the similarity of the probability density distributions (pdf) in the near wall region. By using the high velocity data of the pdf, which is shown not to be affected by heat conduction, the heat conduction problem can be circumvented.Extensive appendices are included, describing the history and present knowledge about the scaling of the mean velocity in the near wall and overlap regions in wall bounded turbulent flows.     

吹吸扰动对壁湍流边界层摩擦阻力的影响

对风洞中平板湍流边界层施加局部周期性吹吸扰动,并用IFA-300热线风速仪测量了其近壁区域不同法向位置瞬时速度的时间序列信号.利用湍流边界层对数律平均速度剖面,计算湍流的壁面摩擦阻力.对平板湍流脉动速度信号用子波分析进行多尺度分解,通过条件采样以及相位平均的方法获得不同尺度下的相干结构波形和能量分布,来研究吹吸扰动对平板湍流边界层的摩擦阻力的影响.结果表明,扰动使得窄缝附近流动阻力增加,而下游区域流动阻力减小.      

Recent experience with different turbulence models applied to the calculation of flow over aircraft components

An evaluation of ten turbulence models is made for compressible flows encountered in current aircraft applications. The Baldwin–Lomax and P.D. Thomas algebraic models, the Baldwin–Barth and Spalart–Allmaras one-equation models, five low-Reynolds-number k– models and the Menter SST blended k–/k–ω model are examined. A zonal, upwind, implicit, factored algorithm is used to solve both the mean flow equations and the turbulence model equations for three-dimensional, compressible turbulent flow. Calculations are presented for both internal and external flowfields including a two-stream mixing layer, a supersonic flat-plate boundary layer, a transonic supercritical airfoil, a shock wave/turbulent boundary layer interaction, an ejector nozzle, a highly offset diffuser, and a twin impinging jet flowfield. The influence of two modifications to the production of turbulent kinetic energy for the low-Reynolds-number k– models is evaluated, a vorticity-based strain rate and a production limiter. A compressibility correction for high speed shear layers is also examined. Comparisons of the results of the various turbulence models are made with experimental measurements. Significant differences are observed in the model predictions when applied to the same problem using the same computational mesh and mean flow solver. The algebraic models are unable to capture the physics of these complex flowfields, particularly for the internal flow calculations. The performance of each model is dependent on the application. No universal model is found for all flowfields examined. Each one-equation and two-equation model has specific strengths and weaknesses and the performance of each model is assessed.     

基于Reynolds平均的高超声速二方程湍流模型

 在Reynolds平均的框架下推导了可压缩湍流Reynolds应力方程和湍动能方程。根据一定的假设和尺度分析简化并封闭了所推导的湍动能方程。在均匀湍流假设下,湍动能耗散率可分解成可压缩性耗散和旋度耗散,并对其中的可压缩性耗散进行了封闭;同时认为旋度耗散不受可压缩性影响,直接引用传统的Reynolds平均不可压缩湍动能耗散率模型方程。由此构造了适用于高马赫数的二方程可压缩湍流模型。应用所发展的模型计算了高超声速平板绕流,并与若干现有模型的计算、实验与半经验公式的计算结果进行了对比,验证了所发展的模型。在此基础上,通过对压缩拐角的高超声速湍流的数值模拟,对所发展的湍流模型,以及若干现有模型进行了对比,显示了不同湍流模型及可压缩性修正在计算壁面压力分布和热流分布上的特点,说明了湍流模型可压缩修正的必要性,得到了所发展模型的计算结果最接近实验结果的结论。     

Unsteady flow phenomena associated with leading-edge vortices

This paper presents selected results from extensive experimental investigations on turbulent flow fields and unsteady surface pressures caused by leading-edge vortices, in particular, for vortex breakdown flow. Such turbulent flows may cause severe dynamic aeroelastic problems like wing and/or fin buffeting on fighter-type aircraft. The wind tunnel models used include a generic delta wing as well as a detailed aircraft configuration of canard-delta wing type. The turbulent flow structures are analyzed by root-mean-square and spectral distributions of velocity and pressure fluctuations. Downstream of bursting local maxima of velocity fluctuations occur in a limited radial range around the vortex center. The corresponding spectra exhibit significant peaks indicating that turbulent kinetic energy is channeled into a narrow band. These quasi-periodic velocity oscillations arise from a helical mode instability of the breakdown flow. Due to vortex bursting there is a characteristic increase in surface pressure fluctuations with increasing angle of attack, especially when the burst location moves closer to the apex. The pressure fluctuations also show dominant frequencies corresponding to those of the velocity fluctuations. Using the measured flow field data, scaling parameters are derived for design purposes. It is shown that a frequency parameter based on the local semi-span and the sinus of angle of attack can be used to estimate the frequencies of dynamic loads evoked by vortex bursting.     

二维非定常跨音速时间线化积分方程的推导

1.引言 求解非定常跨音速流动的主要困难是非线性问题。对于微幅翼型振动问题(同时引起激波的微幅振动)可做时间线化简化处理,得到时间线化微分方程定解问题。时间线化积分方程是由时间线化微分方程推导出来的。     

方腔流致振荡及噪声的数值研究

采用直接数值模拟方法,研究了低Reynolds数下L/D=2的方腔亚声速流致振荡现象及其诱导的噪声。结果表明,在所计算的参数范围内,振荡都是由Rossiter II模态主导;来流边界层变薄会导致低频成分的出现,其产生的直接原因是涡与后拐角撞击方式的切换,根源在于回流区与剪切层相互作用形式的不稳定。采用本征正交分解(POD)方法,分析了不同振荡形式所对应的本征模态涡结构及其与后拐角撞击方式的关系。计算得到并分析了声波的产生和传播过程,结果与已有实验结果和理论模型符合良好。     

A new two-scale model for large eddy simulation of wall-bounded flows

A new hybrid approach to model high Reynolds number wall-bounded turbulent flows is developed based on coupling a two-level simulation (TLS) approach (Kemenov and Menon, 2006 [1], 2007 [2] in the inner region with conventional large eddy simulation (LES) away from the wall. This new approach is significantly different from previous near-wall approaches for LES. In this hybrid TLS–LES approach, a very fine small-scale (SS) mesh is embedded inside the coarse LES mesh. The SS equations capture fine-scale temporal and spatial variations in all three Cartesian directions for all three velocity components near the wall. The TLS–LES equations are derived using a new scale separation operator that allows a smooth transition between the two regions, with the equations in the transition region obtained by blending the TLS large-scale and LES equations. New terms in the hybrid region are identified. The TLS–LES approach is used to study the near-wall features in canonical turbulent channel flows for a range of Reynolds number using relatively coarse large-scale (LS) grids. Results show that the TLS–LES approach is able to capture the effect of both the LS and SS features in the wall region consistently for the range of simulated Reynolds number.     

On management and control of turbulent shear flows

Concepts of turbulent flow control have become of growing importance during the last few years, following increased interest in the detailed structural scenario of turbulence—in particular our improved understanding of coherent structures on the one hand (the prerequisite), and a need for improvement of technological processes on the other (the goal). These considerations have mainly been followed by engineers and physicists concerned with problems in aerodynamics. It is our aim to draw the attention of a wider group of engineers to turbulent flow control in order to speed up the transfer of knowledge from aerodynamics to applications in other fields of engineering.

In this paper an attempt is made to compile a major body of the available knowledge on flow control in separated and wall bounded turbulent flows. After a brief introduction of the basics of control theory (Section 2) and of the major flow structures and their stability characteristics (Section 3) free and wall bounded turbulent shear flows are discussed (Sections 4 and 5). This discussion summarizes the main relationships between structure and flow behaviour and shows possibilities of influencing properties of these flows such as increasing mixing or avoiding separation.     

数值模拟纵向隔热屏加力室热态流场

数值研究纵向隔热屏加力燃烧室的在三维贴体坐标系下燃烧整体流场,所用的数学模型有:k-ε模型、EBU-Arrehenius和二阶矩紊流燃烧模型及六通量模型等.数值分析两种不同几何形状、进口气流参数分布及紊流燃烧模型等对加力室内各气流参数、隔热屏和加力室筒体壁面温度分布的影响,计算结果与试验数据比较表明:不同几何形状对加力室紊流燃烧流场的影响要比进口气流参数分布大些,二阶矩模型更适用模拟紊流燃烧流动.      

计算全马赫数下粘性流动的隐式算法

把预处理方法引入到求解三维粘性流动的Navier-Stokes方程隐式格式算法中,并应用这种方法对平板算例在层流和湍流两种不同流态下及四个不同Ma数下进行了数值模拟,计算结果与理论值及相关公式吻合,同时对比分析了有无预处理情况下的收敛性,证明了本文所采用的预处理隐式算法对于任意马赫数都是适合的,而且可以提高残差精度量级,加快收敛。     

激波/平板湍流边界层干扰的数值模拟

采用理性GAO-YONG可压缩湍流模型,模拟了激波/平板湍流边界层干扰现象,结果表明:计算所得到的壁面压力分布、摩阻系数分布和速度型分布均与实验值吻合很好,并且比较准确地预报出了入射斜激波与平板湍流边界层干扰所引起的边界层分离点和再附点等流动特性.由此表明GAO-YONG可压缩湍流模型能够准确地用来模拟激波/平板湍流边界层的干扰流动.      

跨声速翼型有粘／无粘强干扰计算

本文介绍一种二元跨声速激波-边界层强干扰的计算方法。边界层计算采用湍流边界层积分反方法,它借助Whitfield和Swafford提供的既适合附着流,也适合分离流的速度剖面表达式。跨声速无粘流用全速势方程模拟。通过边界上排溢速度来考虑粘性的影响,用有粘/无粘迭代得到粘性流解。本方法计算的结果与其它方法以及实验的结果进行了比较,证明该方法可以在工程上推广使用。     

不可压缩湍流的色散模型

分析了广泛存在于湍流运动中的能量逆转现象,揭示了其产生的原因,提出了湍流的色散性质.在此基础上,修改了Boussinesq假设,建立了包含色散效应的新的雷诺应力封闭式和湍流色散系数,给出与不同模型相结合时,湍流色散系数所具有的不同形式,并阐述了湍流运动中能量的传递方向及条件.采用不可压缩平板边界层流动和平面后台阶流动验证了其可信性和优越性.平板摩擦阻力系数及边界层速度型与实验结果吻合良好,平面后台阶流动的流向再附长度、台阶边压力系数及湍流强度等参数均比标准k-ε模型更接近实验结果.结果表明:色散项的加入可以在不显著增加计算量的同时显著改善预测精度,模型具有一定的工程应用价值.      

分层Reynolds应力模式

本文根据切变湍流结构的特征提出一种分层Reynolds应力模式。在切变湍流中存在湍能生成项达到狭峰的极大值层次(本文称它为活跃层),根据这一特征,在活跃层中保留微分Reynolds应力模式,但它可以简化为常微分方程。在两层活跃层之间以及活跃层和壁面之间的Reynolds应力分布,用满足衔接相容条件的多项式近似。时均湍流场将由以上得到的Reynolds应力代入Reynolds方程求出。用本方法计算了两个比较复杂的湍流例子,结果表明,本方法较常用的k-ε模式有明显的优越性,它的计算时间并不比k-ε模式多,而计算结果与实测结果的吻合则较k-ε模式好得多。另一方面本方法较之完全的微分Reynolds应力模式可大大节省计算时间。     

Gao-Yong理性湍流方程

对近十年来Gao-Yong理性湍流方程的研究进行综述,给出矢量形式的可压湍流封闭方程组的推导过程。侧偏统计平均保留了湍流脉动量的一阶统计信息,在引入加权漂移速度对称性及正交各向异性后,导出了漂移流的连续方程、动量方程及机械能方程,最后依据湍流物理的唯象论,使用动量传输链概念模化封闭了整个方程组。方程组不含任何经验系数,不使用壁面函数,保留了NS方程的均化的非线性特性。其级数形式的能量方程与非线性现象多尺度层次现象相对应,具备了描述湍流统计平均流动及拟序结构流动的双重功能。已进行了大量算例验证,验证结果证明了Gao-Yong湍流方程对广泛范围的复杂湍流问题的适定性。     

跨音速单转子压气机三维湍流流场的数值计算

用有限体积表示的三维雷诺平均N-S方程显式格式的时间推进法, 对一个单转子压气机的三维湍流流场进行了计算。方法中应用了Baldwin-Lomax湍流模型。这个单转子压气机是第39届国际燃气轮机会议作为考核三维流场数值方法的盲题。计算结果与实验实测的结果进行了比较, 证明本文提出的方法可以用来验证叶轮机械气动设计。      

压气机叶栅紊流减阻试验研究

本文叙述压气机叶片表面刻花纹对叶栅性能的影响。实验表明,适当的花纹型式可使叶栅的临界马赫数,气流转折角以及最大静压比等主要性能指标均有明显提高。