Acoustic diffraction by a half-plane with discontinuous boundary conditions

A theoretical investigation of the wake pattern downstream of airfoils under predominantly laminar flow conditions and the resultant noise generation is presented. Under these conditions the wake is dominated by a Karman vortex street. A method is developed to theoretically predict the vortex shedding frequency by relating the wake pattern to the airfoil boundary layer parameters through the momentum equation. The generated noise is found to be dominated by a pure tone at the vortex shedding frequency. The results obtained with the present approach were found to agree quite well with experimental results obtained by other investigators.     

Sound scattering by a Karman street consisting of large-scale vortices

The scattering of acoustic waves by a vortex street formed behind a cylinder in an air flow is studied both theoretically and experimentally for the case of the sound wavelength being much less than the vortex size. The theoretical calculations show that, at flow velocities well below the sound velocity, the vortex street can be considered as a moving phase screen. The spectrum of scattered sound in the far zone is shown to consist of harmonics whose frequencies differ by a multiple of the vortex rate. The computational results agree well with the experimental data obtained for the diffraction of ultrasound of the wavelength λ=3 mm by the Karman street formed behind a circular cylinder with an 8 mm diameter at a flow velocity of 7 m/s.     

Structure-based interpretation of the Strouhal-Reynolds number relationship

The wake in the flow past a circular cylinder has posed a long-standing challenge to scientists since the late 19th century. Many aspects of this seemingly simple phenomenon remain unexplained. Of particular interest is the relationship between the dimensionless vortex shedding frequency (the Strouhal number St) and the ratio of inertial to viscous forces in the fluid (the Reynolds number Re). We propose a new St-Re relation based on the observations of the structure of a vortex street in flowing soap films. The measurements suggest a simple two-parameter form St=1/(A+B/Re) that describes laminar vortex shedding remarkably well for bulk fluids as well as for two-dimensional flowing soap films.     

三维圆柱体绕流的发展和演化

结合三阶精度格式求解可压缩NS方程，本文研究了绕过三维圆柱体的流动结构，阐明了流动的演化机理。大攻角下，在三维圆柱体背风区形成了一个脱落涡序列，其截面流态非常类似于二维圆柱绕流，主涡、二次涡以及tertiary涡形成了一个层次结构。前一个主涡脱体后，tertiary涡将演化为其后续的新生主涡，并且合并圆柱体对称面另一侧的二次涡。     

数值模拟圆柱绕流旋涡运动及尾流不稳定性分析

1引言流体绕过圆柱所产生的非定常旋涡运动以及由此引起的流动不稳定性在理论和实践上都具有重要的意义。数值模拟圆柱绕流旋涡产生及演化过程，探讨圆柱尾流涡街产生的机制，控制尾迹不同速度型以抑制涡街的产生，避免涡激振动在工程上造成破坏作用具有重大实际意义。为使问题简化，本文以二维圆柱绕流作为研究对象。该流动涉及到非定常分离，旋涡的形成、运动及发展，流动不稳定性质改变等许多未完全解决的问题。B。had等山对圆柱突然起动问题作了一系列实验研究。文献门对二维圆柱绕流问题作了系统数值研究。本文采用文献门提出的差分格…     

On vortex streets behind Taylor columns

Computer experiments were performed to explore the flow in the vicinity of a truncated normal flat plate in a rapidly rotating fluid. A Taylor column formed above the flat plate and the vortex shedding in the wake of the Taylor column closely resembled the vortex street behind the solid plate. This is probably the first observation of a Kármán vortex street behind a Taylor column in a computational study.     

2D-PIV analysis of loach motion and flow field

The propulsion methods of the aquatic lives are the results of optimization by evolution and are useful for the design of swimming-robot, etc. Among them, loach has unique propulsion technique both bending its long body and shaking caudal fin. Our purpose of the research is to clarify its swimming mechanism through flow field analysis. Two dimensional motion and flow around it have been experimentally visualized by particle image velocimetry (PIV). Vortices around a loach and the interactions between the loach body and surrounding water are analyzed. Generating and growing vortices by bending its body, it pushes water backward to gain repulsing force, and it seems that moves through vortices reducing the resistance force at the same time. When a vortex reaches to the caudal fin, it accelerates both sides of the vortex pushing water backward and seems gaining propulsion utilizing the caudal fin. After moving forward, loach leaves a vortex street like reverse Karman vortices, which means that loach gains propulsion.     

基于间断有限元方法的并列圆柱层流流动特性

基于高阶的间断有限元方法, 数值模拟低马赫数下并列圆柱的可压缩层流流动, 捕捉并列圆柱流场中的漩涡结构, 以便分析并列圆柱尾流的流动特性. 针对二维圆柱的边界形式, 采用曲边三角形单元构造二维圆柱的曲面边界, 以适应高阶离散格式的精度. 在验证方法合理性的基础上, 分析圆柱间距及雷诺数对漩涡脱落及受力特性的影响规律. 研究结果表明: 并列圆柱的间距是影响流场流动特性的一个主要因素, 它会改变圆柱漩涡脱落的形式. 随着圆柱间距的增加, 上下圆柱的平均阻力系数及平均升力系数的绝对值随之显著下降. 雷诺数对于平均阻力系数的影响相对较小. 但随着雷诺数的增加, 上下圆柱的平均升力系数会随之降低, 而漩涡的脱落频率会随之增大.     

雷诺数对圆柱尾流中被动标量场的影响

本文通过实验研究雷诺数对加热圆柱尾流中温度场的影响.实验中雷诺数Re(≡U∞d/v,其中U∞为来流速度、d为圆柱直径、v为流体黏度)的取值范围为1200-8600.实验中温度是由直径为0.63 μm的冷线探针测量的.实验结果表明,一般而言,雷诺数对整个尾流的标量混合特性有着显著的影响.随着雷诺数的增加,平均标量场向外的扩散速度加快、标量脉动强度增加了但衰减也加快.本文还发现:尾流中似乎存在两个区域,一个位于卡门涡街下游靠后,另一个就是传统的远场自相似区;在这两个区域,某些描述标量和动量的相似关系式近似成立.     

Vorticity waves in problems of hydrodynamic stability

The known problem of flow transition near a circular cylinder at Re = 40 from a symmetrical form to the Karman vortex street can be considered as the problem of vortex wave development and intensification. Development of three bundles of vortex waves of low intensity is observed in a wake of a cylinder; these bundles are easily visualized as the structures of relative vorticity $ \bar \Omega $ \bar \Omega = Ω(t ₁) − Ω(t ₀): difference of vorticity Ω at two time moments, t ₀ being fixed. In the field of $ \bar \Omega $ \bar \Omega the alternating structure of quadrupoles is characterized by linear parameter l = h/d: the ratio of the width of the central bundle of vortex waves to the distance between the centers of quadrupoles of a “single sign”. When l = 0.281 is achieved, which coincides with the value of the same parameter of a stable Karman street, the transition from symmetrical streamlining by viscous incompressible liquid to the vortex street occurs.     

On whistling of pipes with a corrugated segment: Experiment and theory

Corrugated pipes are commonly used because of their local rigidity combined with global flexibility. The flow through such a pipe can induce strong whistling tones, which is an environmental nuisance and can be a threat to the mechanical integrity of the system. This paper considers the use of a composite pipe: a shorter corrugated pipe segment embedded between smooth pipe segments. Such a pipe retains some flexibility, while the acoustical damping in the smooth pipe reduces whistling tones. Whistling is the result of coherent vortex shedding at the cavities in the wall. This vortex shedding is synchronized by longitudinal acoustic waves traveling along the pipe. The acoustic waves trigger the vortex shedding, which reinforces the acoustic field for a critical range of the Strouhal number values. A linear theory for plane wave propagation and the sound production is proposed, which allows a prediction of the Mach number at the threshold of whistling in such pipes. A semi-empirical approach is chosen to determine the sound source in this model. This source corresponds to a fluctuating force acting on the fluid as a consequence of the vortex shedding. The functional form of the Strouhal number dependency of the dimensionless sound source amplitude is based on numerical simulations. The magnitude of the source and the Strouhal number range in which it can drive whistling are determined by matching the model to results for a specific corrugated pipe segment length. This semi-empirical source model is then applied to composite pipes with different corrugated segment lengths. In addition, the effect of inlet acoustical convective losses due to flow separation is considered. The Mach number at the threshold of whistling is predicted within a factor 2.     

翼型绕流电磁控制的实验和数值研究

分布在弱电介质溶液中的电磁力(Lorentz力),可以有效地控制边界层的流动.利用以转动水槽为主的实验系统和基于双时间步Roe格式的数值方法,对翼型绕流的电磁控制进行了实验和数值研究.结果表明,对于一定攻角的翼型,电磁力可以控制其绕流形态.当电磁力方向与流动方向相同时,可以抑制分离,消除涡街,其效果与减小攻角类似.当电磁力的方向与流动方向相反时,可在流场中形成大涡组成的涡街,增强流体的混合能力,其效果与增大攻角类似. 关键词： 电磁力 翼型绕流 流体控制     

翼型绕流电磁控制的实验和数值研究

分布在弱电介质溶液中的电磁力(Lorentz力)，可以有效地控制边界层的流动.利用以转动水槽为主的实验系统和基于双时间步Roe格式的数值方法，对翼型绕流的电磁控制进行了实验和数值研究.结果表明，对于一定攻角的翼型，电磁力可以控制其绕流形态.当电磁力方向与流动方向相同时，可以抑制分离，消除涡街，其效果与减小攻角类似.当电磁力的方向与流动方向相反时，可在流场中形成大涡组成的涡街，增强流体的混合能力，其效果与增大攻角类似.     

A numerical study of transient flow around a cylinder and aerodynamic sound radiation

The fully 3D turbulent incompressible flow around a cylinder and in its wake at a Reynolds number Re = = 9×10⁴ based on the cylinder diameter and Mach number M = 0.1 is calculated using Large Eddy Simulations (LES). Encouraging results are found in comparison to experimental data for the fluctuating lift and drag forces. The acoustic pressure in far-field is commutated through the surface integral formulation of the Ffowcs Williams and Hawkings (FWH) equation in acoustic analogy. Five different sound sources, the cylinder wall and four permeable surfaces in the flow fields, are employed. The spectra of the sound pressure are generally in quantitative agreement with the measured one though the acoustic sources are pseudo-sound regarding the incompressible flow simulation. The acoustic component at the Strouhal number related to vortex shedding has been predicted accurately. For the broad band sound, the permeable surfaces in the near wake region give qualitative enough accuracy level of predictions, while the cylinder wall surface shows a noticeable under-prediction. The sound radiation of the volumetric sources based on Lighthill tensors at vortex shedding is also studied. Its far-field directivity is of lateral quadrupoles with the weak radiations in the flow and cross-flow directions.     

基于浸入式边界方法的串联双矩形柱绕流数值模拟

基于浸入式边界算法(Virtual Boundary Method)中力源反馈边界的思想,改进其原有内部流体处理方法以减少计算耗费,并结合非等间距网格以便工程应用计算,模拟雷诺数范围内(Re=200–10³)串联双矩形柱绕流,研究表明:Re=200–300时,前柱尾流涡脱处于双剪切层控制阶段;柱间涡街为Karman类涡街,在小间距条件下被抑制,形成涡环;前柱对后柱屏蔽效应体现为后柱阻力系数远小于前柱;临界间距时柱间涡街充分发展,后柱阻力系数等气动参数亦在此发生跃升,但仍小于前柱值;随雷诺数升高,尾流涡街尺寸缩小,临界间距及跃升幅度变小. Re=400时,前柱尾流涡脱进入冲击剪切层控制阶段,阻力系数不再呈现规律性振荡;此后随雷诺数升高,冲击剪切层逐步完善,前柱流动分离使其表面产生更多附着涡,导致尾流旋涡尺寸进一步减小,屏蔽效应消失,涡脱更为剧烈,进而对后柱产生脉动冲击效应;适当间距比条件下此类脉动冲击效应使得后柱阻力系数发生跃升,并略高于前柱. 关键词： 浸入式边界算法 串联双矩形柱 屏蔽效应 临界间距     

3D simulation and visualization of unsteady wake flow behind a cylinder

In this paper we focus on 3D simulation of unsteady wake flow behind a circular cylinder. We show that in addition to accurate formulations and sufficiently-refined meshes, efficient computing methods are essential components of an effective simulation strategy. We use the Multi-Domain Method (MDM) we developed recently in computation of two cases. At Reynolds number 300, we demonstrate how the MDM enables us to use highly-refined meshes to capture wake patterns which we otherwise cannot fully represent. At Reynolds number 140, we show that with the MDM we can extend our computations sufficiently downstream, and with sufficient accuracy, to successfully capture the second phase of the Karman vortex street, which has been observed in laboratory experiments, and which has double the spacing between the vortices compared to the first phase.     

Hydrodynamic and chemical scaling for blow-off dynamics of lean premixed flames stabilized on a meso-scale bluff-body

Direct numerical simulations were conducted to investigate the effect of two parameters, density ratio and laminar flame speed, on the conditions of the onset of local extinction and blow-off of lean premixed flames, stabilized on a meso-scale bluff-body in hydrogen-air and syngas–air mixtures. A total of six simulation cases were considered as isolated comparison of the two parametric effects of the fluid dynamic instability and flame time scale. For all cases under study, the general flame development towards the blow-off limit showed a sequence of five distinct modes, with possible cyclic patterns among the different modes for a range of velocity conditions. The onset of local extinction was observed during the asymmetric vortex shedding and vortex street mode. As the density ratio is decreased, the flow inunder reviewstability is promoted through the increased sinuous mode, and such behavior was properly scaled by the Strouhal number. Although the blow-off velocity is altered by the fluid dynamic effects, the condition for the onset of local extinction and blow-off was mainly dictated by the competition between flow residence time associated with the lateral flame motion and ignition delay of the local mixtures. Time scale analysis supported the validity of the findings across all the cases investigated.     

具有多孔介质覆面层的柱体绕流流场分析

建立多孔结构覆面柱体绕流模型, 采用含Darcy-Brinkman-Forchheimer作用力项的格子Boltzmann方程对覆盖多孔介质层的方柱绕流进行数值模拟, 研究多孔介质对钝体绕流流场特性的影响。结果表明: 相比于不可渗透壁的柱体, 引入合适参数的多孔介质覆面层后可以有效降低其升力脉动幅值, 但阻力有所增加。同时, 较高雷诺数下多孔方柱的数值模拟表明: 多孔介质壁面使得尾迹区域的剪切层相距更远, 降低了尾流处湍动能, 并将雷诺应力的峰值移动到尾迹区域, 抑制了方柱两侧的动量交换, 使动量交换的位置发生在尾迹区域, 继而使得尾迹的涡街更加规则化。     

Interaction of induced sound with flow past a square leading edged plate in a duct

The interaction of resonant sounds with the flow past a thick, blunt, flat plate in a rigid walled square duct has been examined. Sound pressure levels of up to 146 dB (re 20 μPa) have been recorded. It has been established that the resonant sound can initially be excited at a harmonic of the normal vortex shedding frequency. In some cases, the sound “feeds back” on the vortex shedding process causing a step change in the shedding frequency, increasing the Strouhal number for the plate by up to twice the normal value. This excited vortex shedding and associated resonances can be suppressed by locating the plate at incidence to the air flow direction. Complex duct modes can be generated by the vortex shedding resulting in different regions of the plate shedding at different Strouhal numbers.     

Remote acoustic diagnostics of a wake behind a heated cylinder

The possibilities of remote acoustic diagnostics of flows are experimentally and theoretically studied. A Karman vortex street behind a cylinder is used as a model. The vortex temperature exceeded that of the surrounding medium. A laboratory experiment carried out in a low-turbulence wind tunnel at Re100 has shown that vorticity, stall rate, spatial period, and vortex temperature can be found from the characteristics of sound scattered by the flow.Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 38, No. 8, pp. 832–840, August, 1995.