郭强, 周建旭, 黄亚, 张健. 考虑流固耦合的厚壁输水管水锤和振动特性分析[J]. 农业工程学报, 2020, 36(21): 137-144. DOI: 10.11975/j.issn.1002-6819.2020.21.017
    引用本文: 郭强, 周建旭, 黄亚, 张健. 考虑流固耦合的厚壁输水管水锤和振动特性分析[J]. 农业工程学报, 2020, 36(21): 137-144. DOI: 10.11975/j.issn.1002-6819.2020.21.017
    Guo Qiang, Zhou Jianxu, Huang Ya, Zhang Jian. Water hammer and vibration analysis of a thick-wall pipe considering fluid-structure interaction[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2020, 36(21): 137-144. DOI: 10.11975/j.issn.1002-6819.2020.21.017
    Citation: Guo Qiang, Zhou Jianxu, Huang Ya, Zhang Jian. Water hammer and vibration analysis of a thick-wall pipe considering fluid-structure interaction[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2020, 36(21): 137-144. DOI: 10.11975/j.issn.1002-6819.2020.21.017

    考虑流固耦合的厚壁输水管水锤和振动特性分析

    Water hammer and vibration analysis of a thick-wall pipe considering fluid-structure interaction

    • 摘要: 厚壁管对瞬变流具有很高的抗风险能力,在输水系统中得到了广泛的应用。为了研究厚壁管中流固耦合现象,该研究考虑轴向应力的缓冲效应,基于薄壁管流固耦合分析模型(薄壁模型),建立并提出了适用于厚壁管流固耦合一维模型(厚壁模型)。采用有限体积法对模型求解,压力振荡数值结果与已有的试验结果峰值相对误差低于4.5%,说明厚壁模型是可靠的。在此基础上,从压力振荡、波速及管道振动角度比较了2模型差异:薄壁模型和厚壁模型模拟波速与试验结果相对误差分别为4.6%和1.3%;相对薄壁模型结果,厚壁管模型显示压力振荡周期和幅值均增大,流体模态频率和结构模态频率分别为6.44和17.72 Hz。此外,当输水管道厚径比<0.05,厚壁模型仍具有一定可靠性。该模型扩展和改进了常用薄壁模型,使其同时适用于厚壁管及薄壁管流固耦合分析。

       

      Abstract: A thick-wall pipe is widely used in a water conveyance system, due to its high anti-risk ability on transient flow. If the thickness of pipe wall is great enough, the axial stresses vary significantly in the radial direction. It is necessary to consider a buffering effect of axial stresses, representing by the buffering coefficients λ1 and λ2. In this study, an one-dimensional Fluid-Structure Interaction (FSI) model was proposed for the accurate prediction on the mechanical properties of a thick-wall pipe during water hammer. A FSI thin-wall model was also set considering the relaxed effect that caused by the radial deformation. Four equations included the continuity and motion equation of fluid, while, the motion and deformation equation of pipe structure. A Finite Volume Method (FVM) was also selected to evaluate the reliability and accuracy of the model, according to the experimental data. Compared with the thin-wall model, the thick-wall model can be used to weaken the axial stress level in the pipe wall under buffering effects. The simulated results showed that there were obvious buffering effects, and evident differences between the thick- and thin-wall model, at the thickness-diameter ratio of e/R>0.05. At the thickness-diameter ratio of e/R<0.05, there were the minor buffering effects, and the negligible differences between the thick- and thin-wall model. In the small values of coefficients λ1 and λ2, the thick-wall model can be degenerated into the thin-wall model. It infers that the thin-wall model can be assumed as the special mode of thick-wall model without buffering effects. Considering FSI, the first pressure drop, 'pumping' effect, and last pressure drop can be observed in each half period, indicating an important role in the modes of fluid or structures. There were totally differences in the pressure oscillation, wave speeds, and axial vibration of pipe wall. Specifically, all the modes of frequencies were attributed to the speed of pressure wave and stress wave. The resulting structure or fluid behaved different mode responses. The waves was dominated in the simulated and experimental data that derived from the pressure wave speeds in two models, indicating that the thick-wall model was much more accurate for a thick-wall pipe during water hammer. In addition, the axial vibration and pressure oscillation became stronger in the thick-wall model, indicating that the system has stronger FSI responses. In the modes with low frequencies, the system displayed relatively low robustness, where the fluid can suffer to the slow 'pumping' effect. A given system simulated by the thick-wall theory demonstrated a large flexibility and small pressure wave velocity. The modified thick-wall model can be used to significantly improve the fluid-structure interaction model for a thick-wall pipe.

       

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