侧柱与串列双柱绕流之间的干优

本文给出了关于串列双柱与侧柱间流动干扰的实验研究结果。当三个圆柱排成等边三角形关靠得很近时，由于三圆柱间强烈的缝隙流动，大大地改变了绕流其中的串列双圆柱的流态，特别，当三圆柱中心距等于二倍圆柱直径时，在串列双柱的前，后柱之间形成了强烈的偏斜的缝隙流，出现了独特的压力分布以及要比单柱高出三倍以上的旋涡脱落频率。     

侧柱与串列双柱绕流之间的干扰

本文给出了关于串列双柱与创柱间流动干扰的实验研究结果。当三个圆柱排成等边三角形并靠得很近时，由于三圆柱间强烈的缝隙流动，大大地改变了绕流其中的串列双圆柱的流态。特别，当三圆柱中心距等于二倍圆柱直径时，在串列双柱的前、后柱之间形成了强烈的偏斜的缝隙流，出现了独特的压力分布以及要比单柱高出三倍以上的旋涡脱落频率。     

分块法研究圆柱绕流升阻力

使用新的分块耦合方法，分别对单圆柱和串列双圆柱绕流进行了数值模拟．对于单圆柱绕流，低Re下计算所得到的定常涡尺寸与实验非常接近．对于串列双圆柱绕流，研究分析了改变双圆柱中心间距对上下游圆柱的升阻力系数和脉动频率所产生的影响，计算结果与实验非常吻合，为进一步研究涡致振动提供了依据．     

分块法研究圆柱绕流升阻力

 使用新的分块耦合方法，分别对单圆柱和串列双圆柱绕流进行了数值 模拟. 对于单圆柱绕流，低$Re$下计算所得到的定常涡尺寸与实验非常接近. 对于 串列双圆柱绕流，研究分析了改变双圆柱中心间距对上下游圆柱的升阻力系数和脉动频率所 产生的影响，计算结果与实验非常吻合，为进一步研究涡致振动提供了依据.     

串列双圆柱同步测压实验结果的相关分析

本文在雷诺数2×104下,同步测量了12个不同间距下串列双圆柱的表面压力分布,积分得到脉动升、阻力的时间历程,并对前、后柱之间的脉动升、阻力以及脉动升阻力和圆柱表面的脉动压力进行了相关分析.在本实验中,串列双圆柱流态切换的临界间距比在3.5～4.0之间,在临界间距前后,相关曲线的形态差别很明显.当串列双圆柱之间的距离小于临界间距时,前后柱之间的影响显著,造成脉动升/阻力和脉动压力之间的相关程度下降.串列双圆柱之间的距离大于临界距离时,前、后柱的脉动升力之间的相位差随间距线性增加.分离点的脉动压力和脉动升力之间以及背压和脉动阻力之间都有较好的相关性,可以用分离点的脉动压力和背压来分别表征脉动升力和脉动阻力.     

相同雷诺数下串列双圆柱绕流的仿真分析

为研究均匀水流场中串列排布的柱群之间的干涉影响,本文以三维串列双圆柱为例,通过计算流体力学(CFD)软件FLUENT15.0中双方程k-ε模型,分析模拟了双圆柱所受平均阻力、平均升力、后柱周向压力、斯特劳哈尔数等水动力特性。结果表明:在雷诺数为Re=2×10~4的串列双圆柱绕流中,两圆柱中心间距L与圆柱直径D的比值为L/D=4时,后柱受前柱绕流尾流影响大,明显高于单圆柱绕流的平均阻力系数,后柱的周向压力值也随前柱尾流的摆动呈现显著的不对称性;当L/D=8时,前柱绕流尾流对后柱影响逐渐减弱;当L/D=12时,两圆柱之间的相互干扰几乎可以忽略,可以看作是相互独立的单圆柱绕流。最后,计算的斯特劳哈尔数与单圆柱绕流对应的斯特劳哈尔数相近且仿真数值在计算数值范围之内,验证了整个仿真分析的准确性,也进一步说明了双圆柱绕流的柱群的干涉影响。双圆柱间距越大,前、后柱之间的干涉影响越弱。     

等边布置三圆柱绕流的数值分析

用有限元方法对于等边三角形布置的三个相同直径的二维圆柱绕流问题进行了数值模拟，分别求得了在不同间距比下的流场分布和各圆柱的升、阻力系数以及斯托哈罗数。计算结果表明，小间距比情形下三圆柱之间的干扰是严重的，流动并不对称于中心轴线，而是偏向下游的某个圆柱。数值计算结果与有关文献和实验进行了对比，结果令人满意。     

小波浪高雷诺数时串列圆柱的波动压力

在２４０×１０５≤Ｒｅ≤５４０×１０５，２９４≤Ｋｃ×７８５，２５４×Ｌ／Ｄ×５０２的范围内实验研究了串列圆柱在规则波中迎浪前进时的波动压力、波动升力与波动阻力．实验模型由ＰＶＣ管加工制成，表面光滑．实验结果表明：在波流中，当Ｋｃ数较小而Ｒｅ数较高时，绕串列圆柱的流动与均匀流中的绕流有相似之处；随着Ｋｃ数和Ｒｅ数的增加，串列圆柱的柱间干扰效应会发生改变     

绕流等边三角形排列的三圆柱

本文研究了绕流等边三角形排列三圆柱的气动力及其相互干扰。针对某一特定的中心距(1.75d,d为圆柱直径),进行了压力分布的测量和气动力的推算。结果表明,在这种间距下干扰是严重的,除阻力之外,还产生了相当大的横向力,而且随着风向的改变,这种横向力可能是相斥的,也可能是相吸的。另外,圆柱的局部表面有极强的负压力系数。     

高雷诺数下多柱绕流特性研究

采用改进的延迟分离涡方法数值模拟了高雷诺数下的柱体绕流,包括单圆柱绕流、单方柱绕流、串列双圆柱绕流和串列双方柱绕流,研究了不同雷诺数下圆柱绕流与方柱绕流的水动力特性.计算结果与实验数据及其他文献的数值计算结果吻合良好,研究表明,单方柱绕流在2.0×10~3Re1.0×10~7范围内未出现类似于单圆柱绕流的阻力危机现象,其平均阻力系数C_d、升力系数均方根C'_1及斯特劳哈尔数S t维持在一定范围内波动.串列双圆柱绕流与串列双方柱绕流中,均选取L/D=2.0,2.5,3.0,3.5和4.0这五中间距比进行计算.串列双圆柱绕流中,当Re=2.2×10~4时,在3.0L/D3.5内存在一临界间距比(L_c/D)使得L_c/D前后上下游圆柱的升阻力系数发生跳跃性变化,且当L/DL_c/D时,下游圆柱的阻力系数为负数.而当Re=3.0×10~6时,则不存在临界间距比,且下游圆柱的阻力系数始终为正数.串列双方柱绕流在Re=1.6×10~4和Re=1.0×10~6两种工况下的临界间距比分别处于3.0L/D3.5和3.5L/D4.0区间内,且当L/DL_c/D时,两个雷诺数下的下游方柱阻力系数均为负数.     

串列双锥柱绕流流动特性的大涡模拟研究

利用大涡模拟研究了雷诺数Re = 3900下串列双锥柱在间距比L/D_m = 2 ~ 10下的升阻力特性及三维流动结构. 研究发现: 上游锥柱在后方形成的两个展向不对称回流区, 使其后方压力分布不对称. 上游锥柱发展的上洗、下洗和侧面剪切层作用在下游锥柱的附着点位置不同是上游和下游锥柱时均阻力系数和脉动升力系数变化的主要原因, 串列双锥柱间流动结构随间距比变化可分为三种状态: 剪切层包裹状态, 过渡状态及尾流撞击状态. 剪切层包裹状态. 上游锥柱的自由端主导来流在下游锥柱迎风面影响范围广, 上游锥柱剪切层完全包裹住下游锥柱, 从而抑制下游锥柱后方回流区形成, 导致下游锥柱时均阻力系数降低; 尾流撞击状态; 上游锥柱尾流得到充分发展, 其回流区大小随间距比增大不再发生变化, 上游锥柱尾流出现周期性脱落, 撞击在下游锥柱表面, 从而使脉动升力系数大幅增加, 最大脉动升力系数较单直圆柱提升约20.7倍; 过渡状态, 此时时均阻力系数和脉动升力系数均会较剪切层包裹状态增加. 该研究可以为风力俘能结构群列阵布局提供理论支持.      

双圆柱斜置排列时下游圆柱压力分布和振荡频率的实验研究

当两个圆柱斜置排列并靠得较近时,绕流下游圆柱的流动明显地不同于单一圆柱.本文研究了下游圆柱压力分布受到的影响,并着重于用FFT来分析圆柱表面某些特征点上的压力频谱,研究频谱与圆柱之间的相对距离和位置的关系.当圆柱间距较远时,压力振荡的频率与单圆柱卡门涡节的频率相接近,随着横向间距的接近,频率逐渐降低,然而当两圆柱十分接近时,外侧压力振荡的频率继续降低,但圆柱内侧压力振荡的频率却突然提高,出现了一个圆柱体两侧作用有不同频率压力的情况.     

一端弹性支撑的串列双柱和并列双柱在气流中自由端的振幅响应

本文研究了一端弹性支撑的并列双柱和串列双圆柱在气流中自由端的振幅响应，与单圆柱相比，在小间距时，串列双圆柱中前柱的横向振幅受到较强的激励。而在大间距时，振幅受到抑制，特别当Ｌ／Ｄ＝３．５和４．０时，其振幅响应仅为单柱的１／３左右，而对于后柱，则在大间距时，纵向振幅响应有所增大，而且后柱的振幅响应要比前柱的大得多，而并列双圆柱的自由端振幅基本上受到抑制，在Ｔ／Ｄ＞３．０之后，干扰很快减小到接近单个圆     

Flow/acoustic interactions of two cylinders in cross-flow

The noise generated by two tandem cylinders in a cross-flow (i.e., with the second in the wake of the first) has been investigated. Measurements of turbulence and of fluctuating pressure have been obtained between the two cylinders for different flow velocities and incident levels of turbulence. Although, for a number of cases, up to four peaks related to vortex shedding were evident in the spectrum, most measurements exhibited two peaks, a dominant one at the vortex-shedding frequency, with a secondary peak at twice this value. The measurements show that vortex generated noise is strongest at the mid-point between the cylinders and at the rear cylinder with levels of 130 dB. The harmonic component was strongest at the downstream cylinder where peak values of 110 dB were obtained. The nonlinear flow/acoustic interactions are examined using bispectral analysis to identify the quadratic interactions in the parameters. A novel quadratic modelling method is proposed and shown to be capable of both identifying and quantifying the nonlinear interactions which give rise to noise at harmonics of the vortex-shedding frequency.     

Numerical predictions of low Reynolds number flows over two tandem circular cylinders

Flows over two tandem cylinders were analysed using the newly developed collocated unstructured computational fluid dynamics (CUCFD) code, which is capable of handling complex geometries. A Reynolds number of 100, based on cylinder diameter, was used to ensure that the flow remained laminar. The validity of the code was tested through comparisons with benchmark solutions for flow in a lid‐friven cavity and flow around a single cylinder. For the tandem cylinder flow, also mesh convergence was demonstrated, to within a couple of percent for the RMS lift coefficient. The mean and fluctuating lift and drag coefficients were recorded for centre‐to‐centre cylinder spacings between 2 and 10 diameters. A critical cylinder spacing was found between 3.75 and 4 diameters. The fluctuating forces jumped appreciably at the critical spacing. It was found that there exists only one reattachment and one separation point on the downstream cylinder for spacings greater than the critical spacing. The mean and the fluctuating surface pressure distributions were compared as a function of the cylinder spacing. The mean and the fluctuating pressures were significantly different between the upstream and the downstream cylinders. These pressures also differed with the cylinder spacing. Copyright © 2004 John Wiley & Sons, Ltd.     

Lift forces induced by phase lag between the vortex sheddings from two tandem bluff bodies

Flow-induced forces on two tandem circular cylinders of identical diameter are numerically studied at a Reynolds number of 200. The cylinder center-to-center spacing ratio is varied from 2 to 9. We focus on fluctuating (rms) lift coefficient of the upstream cylinder, vortex dynamics in the gap between cylinders, and phase lag between vortex shedding from the two cylinders. The phase lag was a linear function of the spacing ratio as known in the literature; but it is, as proved here, indeed a nonlinear function of the spacing ratio, Strouhal number and convection velocity of vortices in the gap between the cylinders. The shedding from the two cylinders turns out to be inphase and antiphase alternately as the spacing ratio increases. We unearth that both phase lag and spacing ratio influence the fluctuating lift of the upstream cylinder. With an increase in the spacing ratio, while the influence of the spacing ratio on fluctuating lift diminishes rapidly in an overdamped manner, that of the phase lag makes the fluctuating lift variation underdamped sinusoidal. The inphase and antiphase flows correspond to a local maximum and a local minimum, respectively, in the fluctuating lift variation. An equation is deduced, showing the relationship between the fluctuating lift, spacing ratio, and phase lag. The physics behind the damped-sinusoidal variation in the fluctuating lift is discussed. The investigation directs that the streamwise separation between two tandem wings of airplanes/submarines should be taken into account or optimized. It would also be interesting to see whether fish exploits phase-lag-induced lift to enhance its forward thrust.     

Vortex- and wake-induced vibrations of a tandem arrangement of two flexible circular cylinders with far wake interference

The dynamic response of two flexible cylinders in tandem arrangement partially immersed in a uniform flow is analysed. The centre-to-centre separations, larger than 4 and up to 8 diameters, were chosen to fall in the regime in which two separate wakes exist behind each one of the models. For the cases presented here, it has been confirmed that the main excitation mechanism is wake-induced vibration (WIV). The rear cylinder shows large amplitudes of response, at reduced velocities over the expected ones at lock-in when a cylinder is undergoing VIV being isolated. This type of response has been also observed by other researchers in experiments with flexibly mounted cylinders in the wake of stationary ones, we also provide data here, for cases with the front cylinder being stationary.     

On the stable posture of a pair of parallel cylinders in a uniform flow *

The stable posture of a pair of parallel circular cylinders in a uniform flow was experimentally studied when it was free to rotate about an axis at the middle of the two cylinders. The cylinder pair comes to rest facing the oncoming flow side by side, the line connecting the centers of the two cylinders being perpendicular to the flow, when s/d = 0.5, where s is the distance between the center of rotation and the central axis of each cylinder and d is the diameter of the cylinder. When s/d = 1.0 or 1.5, the cylinder pair is stable both in tandem, with one cylinder behind the other, and in side-by-side arrangements to the oncoming flow. When s/d 2.0, the cylinder pair is stable only in tandem arrangements.     

低雷诺数串列双方柱流致振动质量比效应的数值研究

为澄清串列双方柱流致振动的质量比效应, 采用数值模拟方法, 在雷诺数为150时, 研究了质量比($m^{\ast }=3$, 10, 20)对下游方柱振动响应特性的影响规律, 分析了下游方柱尾流模态的演变过程, 探讨了导致下游方柱振动的流固耦合机制. 结果表明: 质量比对下游方柱的流致振动有重要影响, 低质量比($m^{\ast }=3$)时下游方柱的振动响应更为复杂, 随着折减速度的增大, 下游方柱并未出现传统“锁定”现象(即振动频率比$f_{y}$/$f_{\rm n} \approx1$的锁定), 而发生了“弱锁定”现象(即$f_{y}/f_{\rm n}<1$的锁定); 随着质量比的增加($m^{\ast }=10$和20), “弱锁定”现象消失, 而出现传统“锁定”现象, 且下游方柱横流向最大振幅减小. 质量比对串列双方柱的柱心间距有明显影响, 低质量比($m^{\ast }=3$)时的柱间距在振动锁定区内会急剧减小, 而较高质量比($m^{\ast }=10$和20)下的柱间距则变化不大. 此外, 质量比对串列双方柱的尾流模态和流固耦合机制也有显著影响, 其中低质量比($m^{\ast }=3$)下的情况更为多样.