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arXiv 2409.08528physics.flu-dyn

与恒定来流共线的振荡圆柱水动力学特性

Hydrodynamics of an oscillating cylinder inline with steady current

Chengjiao Ren, Feifei Tong, Fei He, Liang Cheng

AI总结:

本研究在Re=500下数值研究共线振荡圆柱的尾流与受力,揭示不同λ*区间的尾流作用机制、同步模态的阿诺德舌分布及涡脱落规律,验证了Morison方程仅在小λ*范围适用。

摘要:

本研究在固定雷诺数Re=500的条件下,针对无量纲振荡振幅(A*=0.01-0.50)和波长(λ*=0.4-25)的宽参数空间,通过数值方法研究了与恒定来流共线的振荡圆柱的尾流与受力特性。本研究探讨的核心问题是恒定来流与圆柱振荡诱发的尾流之间的相互作用,以及主控参数A*和λ*对该相互作用的影响。当λ*≤1.5时,共线流动以圆柱振荡诱发的尾流为主;当λ*≥10时,以恒定来流诱发的尾流为主;而在λ*=1.5-10区间内,流动呈现出圆柱振荡与恒定来流诱发尾流的非线性相互作用特征,例如会形成多种同步模态与失同步模态交错分布的状态。同步模态随λ*和A*共同变化,在λ*-A*参数空间中形成倾斜的阿诺德舌(Arnold's tongue),且每种同步模态下的涡脱落模式都存在广泛的变异性。研究还分析了不同水动力系数随λ*和A*的变化规律,并结合尾流特性给出了物理解释,同时检验了Morison方程在预测顺流向力波动方面的适用性。结果表明,Morison方程仅在λ*≤1.5的小范围内具有合理的精度,超出该范围后,由于恒定来流对尾流特性的影响,其预测精度会下降。

英文摘要:

Wake and force characteristics of an oscillating cylinder in inline steady currents are investigated numerically over a wide parameter space of dimensionless oscillation amplitude ($A^* = 0.01 - 0.50$) and wavelength ($λ^* = 0.4 - 25$) at a fixed Reynolds number $Re = 500$. Fundamental issues addressed in this study are the interactions of wakes induced by steady approaching flow and cylinder oscillations and the influences of the governing parameters of $A^$ and $λ^$ on such interactions. Whilst the collinear flow is dominated by wakes induced by cylinder oscillation at $λ^* \leq 1.5$ and steady current at $λ^* \geq 10$, it exhibits characteristics of nonlinear interactions of wakes induced by the cylinder oscillation and steady current at $λ^* = 1.5 - 10$, such as the formation of multiple synchronized modes interleaved with desynchronized modes. The synchronized mode varies with both $λ^$ and $A^$, forming an inclined Arnold's tongue across $λ^-A^$ space. There is a wide variability of the vortex shedding pattern in each synchronized mode. Variations of different hydrodynamic force coefficients with $λ^$ and $A^$ are investigated with physical interpretations based on the wake characteristics. The applicability of the Morison equation in predicting inline force fluctuations is examined. We found that the Morison equation shows reasonable accuracy only for a small range of $λ^* \leq 1.5$. Beyond this range, its performance deteriorates due to the influence of steady current on wake characteristics.

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