Turbulence-induced vibration in annular flow of a rigid cylinder mounted on a cantilever beam

IF 3.4 2区 工程技术 Q1 ENGINEERING, MECHANICAL Journal of Fluids and Structures Pub Date : 2024-11-01 DOI:10.1016/j.jfluidstructs.2024.104213
Romain Lagrange , Loucas Plado Costante , Maud Kocher
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Abstract

This study investigates the fluid–structure interaction of two coaxial cylinders separated by a Newtonian fluid under turbulent axial flow. The theoretical framework treats the inner cylinder as a rigid body mounted on a flexible blade modeled as a Rayleigh beam. The goals of this study are to determine the free vibration modes and frequencies, identify the fluid-elastic instability threshold, and establish an analytical expression for the mean-square displacement of the structure. The approach integrates various fluid forces and torques, such as Archimedean thrust, fluid-elastic forces for a quiescent fluid, fluid-elastic forces due to flow, and the effects of fluid turbulence. The new approach reveals that vibration modes, frequencies, instability thresholds, and mean-square displacement each depend on a different set of dimensionless parameters: 8, 11, and 12, respectively. These parameters include the cylinder aspect ratio and fluid gap radius ratio. By incorporating models from the literature for viscous friction coefficients, turbulent pressure power spectral density, and coherence function, the study demonstrates stability conditions and the scaling of mean-square displacement with Reynolds number squared. The study, presented in a fully dimensionless formulation, aims to assist engineers in constructing small-scale experiments representative of pressure vessel vibrations. To facilitate this, a Python code for system stability determination and mean-square displacement calculation is provided.
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安装在悬臂梁上的刚性圆柱体环流中的湍流诱导振动
本研究探讨了被牛顿流体隔开的两个同轴圆柱体在湍流轴向流下的流固相互作用。理论框架将内圆柱体视为安装在以瑞利梁为模型的柔性叶片上的刚体。本研究的目标是确定自由振动模式和频率,识别流体弹性不稳定性阈值,并建立结构均方位移的分析表达式。该方法综合了各种流体力和力矩,如阿基米德推力、静止流体的流体弹性力、流动引起的流体弹性力以及流体湍流的影响。新方法揭示了振动模式、频率、不稳定性阈值和均方位移分别取决于一组不同的无量纲参数:8、11 和 12。这些参数包括圆柱体长宽比和流体间隙半径比。通过结合文献中的粘性摩擦系数、湍流压力功率谱密度和相干函数模型,该研究展示了稳定性条件以及均方位移与雷诺数平方的比例关系。该研究以完全无量纲的形式呈现,旨在帮助工程师构建代表压力容器振动的小规模实验。为此,还提供了用于系统稳定性确定和均方位移计算的 Python 代码。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Fluids and Structures
Journal of Fluids and Structures 工程技术-工程:机械
CiteScore
6.90
自引率
8.30%
发文量
173
审稿时长
65 days
期刊介绍: The Journal of Fluids and Structures serves as a focal point and a forum for the exchange of ideas, for the many kinds of specialists and practitioners concerned with fluid–structure interactions and the dynamics of systems related thereto, in any field. One of its aims is to foster the cross–fertilization of ideas, methods and techniques in the various disciplines involved. The journal publishes papers that present original and significant contributions on all aspects of the mechanical interactions between fluids and solids, regardless of scale.
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