基于半解析预测模型的节径比对正三角形管阵横向流弹失稳的影响研究

Effect of Pitch Ratio on Transverse Fluidelastic Instability for Normal Triangular Tube Arrays Based on Semi-analytical Model

  • 摘要: 流弹失稳是管束结构最具破坏性的流致振动机理,许多传热管破裂事故都被认为是由流弹失稳引起的。在影响管束流弹失稳的众多关键参数中,节径比对流弹失稳的具体影响尚需进一步研究。本文以横向流作用下的正三角形管阵为研究对象,通过计算流体动力学(CFD)模拟以及图像处理技术,准确高效地获取了多种节径比下的流管模型参数,成功构建了适用于不同节径比的正三角形管阵的半解析流弹失稳预测模型。利用预测模型对各种结构和流场参数下正三角形管束进行了流体弹性稳定性分析,结果显示:节径比越小,相应的稳定性阈值越低,且模型获得的稳定性阈值与实验结果越吻合,证明了模型参数的合理性和可靠性。本文扩展了正三角形管阵流弹失稳半解析预测模型的适用范围,为研究节径比对管束流弹失稳的影响提供了有效工具。

     

    Abstract: Fluidelastic instability (FEI) is widely recognized as the most destructive flow-induced vibration (FIV) mechanism in tube bundles. FEI has been linked to a number of steam generator heat transfer tube failures in pressurized water reactors, which can result in leaks, expensive shutdowns, and even the irreversible decommissioning of nuclear plants. Because it controls the strength of fluid-structure interactions in tube arrays, the pitch-to-diameter ratio (P/d, pitch ratio) is one of the most important factors affecting FEI. Nevertheless, not enough attention has been paid to the systematic effects of varying pitch ratios on transverse FEI in typical triangle tube arrays. The goal of this study is to clarify this influence and to provide a prediction framework that can be readily applied in nuclear engineering practice. The study expands on prior experiments of triangular tube arrays with a fixed pitch ratio of 1.3, increasing the scope to pitch ratios ranging from 1.3 to 1.6. A semi-analytical tube-in-channel model was used, which reduces the complex three-dimensional flow to one-dimensional channels while keeping crucial dynamics. To obtain model parameters, computational fluid dynamics (CFD) simulations using dynamic mesh techniques were run. In these simulations, a central elastic tube was subjected to predetermined harmonic oscillations, and the ensuing transient flow fields were recorded over several vibration cycles. Thousands of velocity contour images were collected and processed using image-based algorithms to calculate essential metrics such fluctuating flow channel area, phase lag, steady-state area terms, and steady-state velocity terms. These parameters were then fitted into explicit mathematical functions of flow velocity and spatial position. In order to calculate the unsteady fluid forces operating on the tubes and forecast their vibrational response, the fitted equations were incorporated into the time-domain semi-analytical FEI model. Correlating mass-damping characteristics with critical velocities produced stability maps. Strong agreement is found when model predictions were compared to published experimental datasets, demonstrating the precision and resilience of the proposed approach. The findings show that pitch ratio significantly affects FEI thresholds. Larger pitch ratios increase the threshold and improve system stability, while smaller ratios drastically lower the critical velocity, suggesting higher instability concerns. Furthermore, the model captures the extra destabilization brought on by tube-tube coupling and effectively distinguishes between instability behavior in single flexible tubes and numerous flexible tubes. These results are in line with physical predictions of inter-tube flow interactions, which show that bigger gaps weaken couplings while smaller gaps amplify flow disturbances. This study’s main contribution is to increase the applicability of semi-analytical prediction models to systematically take pitch ratio fluctuations into account. The approach provides a practical alternative for computationally costly full-scale fluid-structure interaction simulations by enabling quick and effective evaluation of instability thresholds. Crucially, the findings offer engineering techniques and theoretical underpinnings for enhancing the safety and economic efficiency of nuclear power plants, reducing the likelihood of FEI-induced failure, and optimizing the design of steam generator tube arrays.

     

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