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arXiv 2501.03215physics.flu-dyn
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均匀流中并排柔性叶片拖曳载荷的实验与理论研究

Experimental and theoretical investigation of drag loads on side-by-side flexible blades in a uniform current

Technical University of Denmark(丹麦技术大学);Norwegian University of Science and Technology(挪威科技大学)

Zhilong Wei, Trygve Kristiansen, David Kristiansen, Yanlin Shao

AI总结:

通过实验和理论方法研究均匀流中并排柔性叶片的拖曳力,发现阻力系数在静态区随Ca/B增大而减小,在颤振区趋于恒定;引入等效厚度和弯曲刚度,利用单叶片模型预测并排叶片的减阻效果。

摘要:

本研究通过实验和理论方法,研究了均匀稳定流中并排柔性叶片的水动力拖曳力。将四种不同的叶片模拟物以并排束的形式布置,并在循环水隧道中进行测试。实验涵盖了静态状态和称为颤振的动态不稳定状态。我们考察了四个无量纲参数,以评估它们对整体阻力系数$C_{D,\mathrm{bulk}}$和颤振起始的影响:阻力与刚度比$\mathrm{Ca}$、浮力与刚度比$\mathrm{B}$、流体惯性占总系统惯性的质量比$\beta$,以及细长参数$\lambda$,它表示阻力与反作用力之比。结果表明,在静态区,$C_{D,\mathrm{bulk}}$从$\mathrm{Ca}/B > \textit{O}(1)$开始减小,并在高$\mathrm{Ca}$的颤振区趋于恒定值。在静态区,$\mathrm{B}$是主要影响因素。增加$\beta$、$\mathrm{B}$或$\lambda$会稳定系统并延迟颤振的起始。通过引入叶片束的等效厚度和弯曲刚度,我们利用成熟的单叶片解析和数值模型来预测并排叶片组件的减阻效果。解析模型准确预测了静态区的减阻,而数值模型在适当的横流流体动力学系数下,有效预测了颤振起始以及两个区的减阻。同时,我们研究了反作用力项,以揭示其对系统稳定性和减阻的影响,证明了在高度柔性的叶片横流场景中,该模型优于传统的莫里森方程。

英文摘要:

This study investigates the hydrodynamic drag force on side-by-side flexible blades in a uniform steady current through experimental and theoretical approaches. Four different blade mimics were arranged in side-by-side bunches and tested in a circulating water tunnel. The experiments cover a static regime and a dynamic instability regime known as flutter. We examine four non-dimensional parameters to assess their effects on the bulk drag coefficient $C_{D,\mathrm{bulk}}$ and the onset of flutter: the drag-to-stiffness ratio $\mathrm{Ca}$, the buoyancy-to-stiffness ratio $\mathrm{B}$, the mass ratio of fluid inertia to total system inertia $β$, and the slenderness parameter $λ$, which represents the ratio of the resistive drag to the reactive force. The results show that $C_{D,\mathrm{bulk}}$ decreases in the static regime starting at $\mathrm{Ca}/B > \textit{O}(1)$ and settles to an almost constant value in the flutter regime at high $\mathrm{Ca}$. In the static regime, $\mathrm{B}$ is the primary influencing factor. Increasing $β$, $\mathrm{B}$, or $λ$ stabilizes the system and delays the onset of flutter. By introducing an equivalent thickness and bending stiffness for a bunch of blades, we utilize well-established analytical and numerical models for individual blades to predict the drag reduction of side-by-side blade assemblies. The analytical model accurately predicts drag reduction in the static regime, while the numerical model effectively predicts both the onset of flutter and drag reduction across both regimes with appropriate cross-flow hydrodynamic coefficients. Meanwhile, we investigate the reactive force terms to unveil their impact on the system stability and drag reduction, demonstrating its superiority over the traditional Morison's equation for highly compliant blades in cross-flow scenarios.

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