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首页> 外文期刊>Journal of Fluids and Structures >Wake-induced vibrations of an elastically mounted cylinder located downstream of a stationary larger cylinder at low Reynolds numbers
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Wake-induced vibrations of an elastically mounted cylinder located downstream of a stationary larger cylinder at low Reynolds numbers

机译:低雷诺数下固定在较大的固定圆柱下游的弹性安装圆柱的激振振动

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Two-dimensional numerical simulations of flow past two unequal-sized circular cylinders in tandem arrangement are performed at low Reynolds numbers (Re). The upstream larger cylinder is stationary, while the downstream cylinder has both one (transverse-only) and two (transverse and in-line) degrees of freedom (1-dof and 2-dof, respectively). The Re, based on the free stream velocity U_∞ and the downstream cylinder diameter d, varies between 50 and 200 with a wide range of reduced velocities U_r. The diameter of the upstream cylinder is twice that of the downstream cylinder, and the center-to-center spacing is 5.5d. In general, for the 1-dof case, the calculations show that the wake-induced vibrations (WIV) of the downstream cylinder are greatly amplified when compared to the case of a single cylinder or two equal-sized cylinders. The transverse amplitudes build up to a significantly higher level within and beyond the lock-in region, and the U_r associated with the peak amplitude shifts toward a higher value. The dominant wake pattern is 2S mode for Re=50 and 100, while with the increase of Re to 150 and 200, the P+S mode can be clearly observed at some lower U_r. For the 2-dof vibrations, the transverse response characteristics are similar to those presented in the corresponding 1-dof case. The in-line responses are generally much smaller, except for several significant vibrations resulting from in-line resonance. The obvious in-line vibration may induce a C (chaotic) vortex shedding mode for higher Re (Re=200). With regard to the 2-dof motion trajectories, besides the typical figure-eight pattern, several odd patterns such as figure-double eight and single-looped trajectories are also obtained due to the wake interference effect.
机译:在低雷诺数(Re)下,对通过两个不等大小的圆柱体并排布置的流动进行二维数值模拟。上游的较大圆柱体是固定的,而下游的圆柱体具有一个(仅横向)和两个(横向和直列)自由度(分别为1-dof和2-dof)。基于自由流速度U_∞和下游圆柱直径d的Re在50到200之间变化,并且具有很大的降低的速度U_r。上游圆柱体的直径是下游圆柱体的直径的两倍,中心距为5.5d。通常,对于1-dof情况,计算表明,与单个汽缸或两个相等大小的汽缸相比,下游汽缸的尾流感应振动(WIV)会大大放大。在锁定区域之内和之外,横向振幅会上升到明显更高的水平,并且与峰值振幅相关的U_r会向更高的值移动。对于Re = 50和100,主要的唤醒模式是2S模式,而随着Re增加到150和200,可以在较低的U_r处清晰地观察到P + S模式。对于2-dof振动,横向响应特性与相应的1-dof情况下的相似。串联响应通常要小得多,除了由串联共振引起的几个明显的振动。对于更高的Re(Re = 200),明显的线内振动可能会诱发C(混沌)涡旋脱落模式。关于2-dof运动轨迹,除了典型的八字形图形外,由于唤醒干扰效应,还获得了一些奇数图形,例如双八字形和单环轨迹。

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